diff --git a/src/algorithms/aco.c b/src/algorithms/aco.c index 6e6e4d1eb..4a2191e11 100644 --- a/src/algorithms/aco.c +++ b/src/algorithms/aco.c @@ -25,13 +25,13 @@ individuo *candidates; void set_default_parameters_ant() { if (!parameters.num_ants) - parameters.num_ants = 5252; + parameters.num_ants = 2828; // 5252; if (!parameters.num_generations_per_epoca) - parameters.num_generations_per_epoca = 2000; + parameters.num_generations_per_epoca = (int)(5505098/2828); //423; if (!parameters.tax_evaporate) - parameters.tax_evaporate = 0.31458; + parameters.tax_evaporate = 0.63855 ; if (!parameters.num_candidates) - parameters.num_candidates = 9; + parameters.num_candidates = 20; if (!parameters.p_exploitation) parameters.p_exploitation = 0.25; if (!parameters.function_number) @@ -42,6 +42,21 @@ void set_default_parameters_ant() parameters.seed = time(NULL); if (!parameters.dimension) parameters.dimension = 10; // 10 or 30 + if (!parameters.domain_function.min) + parameters.domain_function.min = -100; + if (!parameters.domain_function.max) + parameters.domain_function.max = 100; + srand(parameters.seed); +} + +void reset_parameters_ant() +{ + parameters.num_ants = 0; + parameters.num_generations_per_epoca = 0; + parameters.tax_evaporate = 0; + parameters.num_candidates = 0; + parameters.p_exploitation = 0; + parameters.seed = 0; } void print_individuos(individuo *individuo, int dimension) @@ -87,11 +102,9 @@ void update_pheromones(double **pheromones, individuo *individuos, int n, int d, for (int j = 0; j < d; j++) { pheromones[i][j] = (1 / sqrt(2 * sigma[j] * PI)) * exp(pow((best_individuo->chromosome[j] - individuos[i].chromosome[j]), 2) / (-2 * pow(sigma[j], 2))); - // printf("pheromoneo: %lf\n",pheromones[i][j] ); if (j % 2 == 0) pheromones[i][j] += random_double(0, 0.3); } - // printf("\n\n"); } } @@ -147,7 +160,6 @@ void select_next_position2(double **pheromones, individuo *individuos, int d) { sum_pheromone[i] = sum_pheromone_dimension(pheromones, i); } - // printf("Select_Sum_Pheromone:%lf\n", sum_pheromone[1]); for (int i = 0; i < parameters.num_ants; i++) { @@ -185,8 +197,6 @@ void candiate_calculator_crossover(individuo *individuos, int d, int id_individu current_dimension_value = individuos[id_individuo].chromosome[j]; candidates[id_candit].chromosome[j] = (current_dimension_value + individuos[individuo2].chromosome[j]) / 2; - // printf("Original: %lf ", current_dimension_value); - // printf("candidato: %lf\n", candidates[id_candit].individuo_chromossome[j]); if (random_double(0, 1) <= parameters.p_exploitation || !(candidates[id_candit].chromosome[j] <= 100 && candidates[id_candit].chromosome[j] >= -100)) candidates[id_candit].chromosome[j] = random_double(-100, 100); } @@ -204,8 +214,6 @@ void candiate_calculator(individuo *individuos, double **pheromones, double *sum delta = distance / current_dimension_value; // Cij = Xi,j + Δij * (m - Xi,j). candidates[id_candit].chromosome[j] = current_dimension_value + delta * (mean - current_dimension_value); - // printf("Original: %lf ", current_dimension_value); - // printf("candidato: %lf\n", candidates[id_candit].individuo_chromossome[j]); if (random_double(0, 1) <= parameters.p_exploitation || !(candidates[id_candit].chromosome[j] <= 100 && candidates[id_candit].chromosome[j] >= -100)) candidates[id_candit].chromosome[j] = random_double(-100, 100); } @@ -277,14 +285,9 @@ double sigma_sums(individuo *individuos, int dimension, individuo *best_individu subtraction_fitness = 0.001; sum_one += pow(best_individuo->chromosome[dimension] - individuos[i].chromosome[dimension], 2) / subtraction_fitness; sum_two += 1 / subtraction_fitness; - // printf("sum_one-:%Lf\n", sum_one); - // printf("sum_two-:%Lf\n", sum_two); - // printf("subtract-:%Lf\n", subtraction_fitness); } - // printf("sum_one-FINAL:%Lf\n", sum_one); - // printf("sum_two-FINAL:%Lf\n", sum_two); + sum_one = sqrt(abs_double(sum_one / sum_two)); - // printf("sigma-:%Lf\n", sum_one); return sum_one; } @@ -322,28 +325,11 @@ void best_individuo_check(individuo *individuos, individuo *best_individuo, doub } } -void catch_best_individuo(individuo *individuos, individuo *best_individuot, double **pheromones, int d) +void catch_best_individuo(populacao *population, individuo *best_individuot, double **pheromones, int d) { - double best_fitness = best_individuot->fitness; - int best_individuo = -1; - - for (int i = 1; i < parameters.num_ants; i++) + if (get_best_of_population(*population)->fitness < best_individuot->fitness) { - if (individuos[i].fitness < best_fitness) - { - best_fitness = individuos[i].fitness; - best_individuo = i; - } - } - - if (best_individuo != -1) - { - - for (int i = 0; i < d; i++) - { - best_individuot->chromosome[i] = individuos[best_individuo].chromosome[i]; - } - best_individuot->fitness = individuos[best_individuo].fitness; + copy_individuo(get_best_of_population(*population), best_individuot, parameters.dimension); } } @@ -372,9 +358,12 @@ double desvio_padrao_individuo(individuo *individuos, int individuos_size) populacao *aco(populacao *population) { set_default_parameters_ant(); - if(population == NULL){ - population = generate_island(1,parameters.num_ants, parameters.dimension, parameters.domain_function, parameters.function_number); + // print_parameters(parameters); + if (population == NULL) + { + population = generate_island(1, parameters.num_ants, parameters.dimension, parameters.domain_function, parameters.function_number); } + individuo *individuos = population->individuos; int d = 10; DEBUG(printf("aco\n");) @@ -404,86 +393,60 @@ populacao *aco(populacao *population) } // Allocate memory for the individuos - //individuo *individuos = (individuo *)malloc(parameters.num_ants * sizeof(individuo)); - individuo *best_individuo = (individuo *)malloc(1 * sizeof(individuo)); + // individuo *individuos = (individuo *)malloc(parameters.num_ants * sizeof(individuo)); + individuo *best_individuo = generate_population(1, 10, parameters.domain_function, 15); candidates = (individuo *)malloc(parameters.num_candidates * sizeof(individuo)); - // Initialize the individuos' positions and fitness valuess - initialize(individuos, parameters.num_ants, d); - initialize(best_individuo, 1, d); initialize(candidates, parameters.num_candidates, d); // Find the best individuo and its fitness value - catch_best_individuo(individuos, best_individuo, pheromones, d); + copy_individuo(get_best_of_population(*population), best_individuo, parameters.dimension); sigma = (double *)malloc(d * sizeof(double)); update_sigma(individuos, d, best_individuo); // Update the pheromone matrix with the best individuo's path update_pheromones(pheromones, individuos, parameters.num_ants, d, best_individuo); - // Iterate over the specified number of iterations - int max_inter_add = 100; - int max_inter = 150; - int cont_or_stop = 1; - - while (cont_or_stop && difftime(time_now, time_init) < parameters.time_limit) + int generations_count = 0; + while (generations_count < parameters.num_generations_per_epoca && difftime(time_now, time_init) < parameters.time_limit) { - double best_individuoer = best_individuo->fitness; - for (int iter = 0; iter < max_inter && difftime(time_now, time_init) < parameters.time_limit; iter++) - { - DEBUG(print_individuo(individuos, d, best_individuo);); - // printf("Best_fitness: %lf\n", best_individuo->fitness); - // Move each individuo to a new individuo_chromossome - select_next_position(pheromones, individuos, d, best_individuo); - evaporate_pheromones(pheromones, d); - - // Update the best individuo and its fitness value - catch_best_individuo(individuos, best_individuo, pheromones, d); - // Verifica se a melhor posição não foi perdida - best_individuo_check(individuos, best_individuo, pheromones, d); - // Update the pheromone matrix with the best individuo's path - update_pheromones(pheromones, individuos, parameters.num_ants, d, best_individuo); - update_sigma(individuos, d, best_individuo); - time(&time_now); - } + DEBUG(print_individuo(individuos, d, best_individuo);); + // Move each individuo to a new individuo_chromossome + select_next_position(pheromones, individuos, d, best_individuo); + evaporate_pheromones(pheromones, d); - // double desv = desvio_padrao_individuo(individuos, parameters.num_ants); - // printf("Desvio: %lf\n", desv); - - if (doubleEqual(best_individuoer, best_individuo->fitness, 2)) - cont_or_stop = 0; + // Update the best individuo and its fitness value + catch_best_individuo(population, best_individuo, pheromones, d); + // Verifica se a melhor posição não foi perdida + best_individuo_check(individuos, best_individuo, pheromones, d); + // Update the pheromone matrix with the best individuo's path + update_pheromones(pheromones, individuos, parameters.num_ants, d, best_individuo); + update_sigma(individuos, d, best_individuo); + time(&time_now); + generations_count++; } population->individuos = individuos; + population->size = parameters.num_ants; copy_individuo(best_individuo, &population->individuos[0], d); - // Print the best solution found - // print_individuos(individuos, d); - // printf("Best fitness value: %lf\n", best_individuo->fitness); - // printf("Best individuo_chromossome:"); - // for (int i = 0; i < d; i++) - // { - // printf(" %lf", best_individuo->chromosome[i]); - // } - // printf("\n"); - // printf("Best %lf\n", best_individuo->fitness); - // Free memory - for (int i = 0; i < parameters.num_ants; i++) - { - free(pheromones[i]); - // free(individuos[i].chromosome); - } + // for (int i = 0; i < parameters.num_ants; i++) + //{ + // free(pheromones[i]); + // free(individuos[i].chromosome); + // } - for (int i = 0; i < parameters.num_candidates; i++) - { - free(pheromones_candidates[i]); - free(candidates[i].chromosome); - } + // for (int i = 0; i < parameters.num_candidates; i++) + //{ + // free(pheromones_candidates[i]); + // free(candidates[i].chromosome); + //} free(pheromones); free(pheromones_candidates); - free(candidates); + // free(candidates); free(sigma); free(best_individuo); + reset_parameters_ant(); return population; } \ No newline at end of file diff --git a/src/algorithms/clonalg.c b/src/algorithms/clonalg.c index 65bf09e43..0695cb139 100644 --- a/src/algorithms/clonalg.c +++ b/src/algorithms/clonalg.c @@ -24,7 +24,7 @@ void set_default_parameters_clonalg() if (!parameters.time_limit) parameters.time_limit = 10; // seconds if (!parameters.population_size) - parameters.population_size = 124; + parameters.population_size = 46; if (!parameters.dimension) parameters.dimension = 10; // 10 or 30 if (!parameters.domain_function.min) @@ -32,11 +32,20 @@ void set_default_parameters_clonalg() if (!parameters.domain_function.max) parameters.domain_function.max = 100; if (!parameters.num_generations_per_epoca) - parameters.num_generations_per_epoca = 300; + parameters.num_generations_per_epoca = (int)(5505098/46);//615; if (!parameters.clones) - parameters.clones = 36; + parameters.clones = 72; if (!parameters.seed) parameters.seed = time(NULL); + srand(parameters.seed); +} + +void reset_parameters_clonalg() +{ + parameters.population_size = 0; + parameters.num_generations_per_epoca = 0; + parameters.clones = 0; + parameters.seed = 0; } void mutation_n_genes(populacao *populacao_clones, int n_genes, int dimension, domain domain_function) @@ -129,11 +138,13 @@ void union_populacao_clones_and_main(populacao *populacao_clones, populacao *pop populacao *clonalg(populacao *population) { set_default_parameters_clonalg(); - if(population == NULL){ - population = generate_island(1,parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); + // print_parameters(parameters); + if (population == NULL) + { + population = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); } DEBUG(printf("\nevolution\n");); - //populacao *population_main = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); + // populacao *population_main = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); populacao *population_main = population; qsort(population_main->individuos, population_main->size, sizeof(individuo), comparador_individuo); populacao *populacao_clones; @@ -146,39 +157,24 @@ populacao *clonalg(populacao *population) // while (difftime(time_now, time_init) < parameters.time_limit) // { - int max_inter_add = 50; - int max_inter = 100; - int cont_or_stop = 1; - while (cont_or_stop && difftime(time_now, time_init) < parameters.time_limit) + while (generation_count < parameters.num_generations_per_epoca && difftime(time_now, time_init) < parameters.time_limit) { - double best_anter = population_main->individuos[population_main->size - 1].fitness; - while (generation_count < max_inter && difftime(time_now, time_init) < parameters.time_limit) - { - STATISTICS(print_coords(&population_main->individuos[population_main->size - 1], 1, generation_count, parameters.num_generations);); - - DEBUG(printf("Populacao principal na geracao %d:\n", generation_count);); - DEBUG(print_population(population_main->individuos, population_main->size, parameters.dimension, 1);); - populacao_clones = generate_clones(population_main, parameters.clones, parameters.dimension, parameters.domain_function); - populacao_clones_mutated = mutation_clones(populacao_clones, parameters.population_size, parameters.dimension, parameters.domain_function); - union_populacao_clones_and_main(populacao_clones_mutated, population_main, parameters.population_size); - free_population(populacao_clones, parameters.population_size); - qsort(population_main->individuos, population_main->size, sizeof(individuo), comparador_individuo); - generation_count++; - time(&time_now); - } - // double desv = desvio_padrao(population_main->individuos, parameters.population_size); - // printf("Desvio_P: %lf\n", desv); - // printf("Anterior: %lf, Atual_best:%lf\n", best_anter, population_main->individuos[population_main->size - 1].fitness); + STATISTICS(print_coords(&population_main->individuos[population_main->size - 1], 1, generation_count, parameters.num_generations);); - if (doubleEqual(best_anter, population_main->individuos[population_main->size - 1].fitness, 2)) - { - cont_or_stop = 0; - } - - else - { - max_inter += max_inter_add; - } + DEBUG(printf("Populacao principal na geracao %d:\n", generation_count);); + DEBUG(print_population(population_main->individuos, population_main->size, parameters.dimension, 1);); + populacao_clones = generate_clones(population_main, parameters.clones, parameters.dimension, parameters.domain_function); + populacao_clones_mutated = mutation_clones(populacao_clones, parameters.population_size, parameters.dimension, parameters.domain_function); + union_populacao_clones_and_main(populacao_clones_mutated, population_main, parameters.population_size); + destroy_island(populacao_clones, parameters.population_size); + qsort(population_main->individuos, population_main->size, sizeof(individuo), comparador_individuo); + generation_count++; + time(&time_now); } + // double desv = desvio_padrao(population_main->individuos, parameters.population_size); + // printf("Desvio_P: %lf\n", desv); + // printf("Anterior: %lf, Atual_best:%lf\n", best_anter, population_main->individuos[population_main->size - 1].fitness); + + reset_parameters_clonalg(); return population_main; } diff --git a/src/algorithms/commom.c b/src/algorithms/commom.c index c60767d9d..2460eea8c 100644 --- a/src/algorithms/commom.c +++ b/src/algorithms/commom.c @@ -13,7 +13,7 @@ #include "../libs/log.h" #define STATISTICS(x) -#define DEBUG(x) +#define DEBUG(x) #define LOG(x) void fitness(individuo *individuo, int dimension, int function_number) @@ -26,6 +26,14 @@ void fitness(individuo *individuo, int dimension, int function_number) // printf("fitness: %f\n", individuo->fitness); } +int comparador_proporcoes_alg(const void *a, const void *b) +{ + proporcao_alg *v1 = (proporcao_alg *)a; + proporcao_alg *v2 = (proporcao_alg *)b; + + return v1->proporcao < v2->proporcao; +} + int comparador_individuo(const void *a, const void *b) { individuo *v1 = (individuo *)a; @@ -96,6 +104,7 @@ void destroy_population(individuo *population, int n_individuos) for (int i = 0; i < n_individuos; i++) { free(population[i].chromosome); + free(population[i].velocidade); } free(population); } diff --git a/src/algorithms/commom.h b/src/algorithms/commom.h index c30e369cf..09eafbd29 100644 --- a/src/algorithms/commom.h +++ b/src/algorithms/commom.h @@ -26,8 +26,8 @@ void destroy_island(populacao *populations, int island_size); individuo *get_best_of_population(populacao populacao); individuo *get_worst_of_population(individuo *population, int n_populacoes); void clone_individue(individuo *clone, individuo *original, int dimension); +int comparador_proporcoes_alg(const void *a, const void *b); void migrate(populacao **populations, int island_size, int num_migrations, int dimension, domain domain_function, int function_number); void random_random_migrate(populacao **populations, int island_size, int num_migrations, int dimension, domain domain_function, int function_number); - #endif /* COMMOM_H */ diff --git a/src/algorithms/diferencial.c b/src/algorithms/diferencial.c index f11ba1810..0ea782587 100644 --- a/src/algorithms/diferencial.c +++ b/src/algorithms/diferencial.c @@ -17,10 +17,13 @@ #define DEBUG(x) #define LOG(x) + + void set_default_parameters_diferencial() { + if (!parameters.F) - parameters.F = 0.76811; + parameters.F = 0.82787; if (!parameters.function_number) parameters.function_number = 3; if (!parameters.time_limit) @@ -28,7 +31,7 @@ void set_default_parameters_diferencial() if (!parameters.island_size) parameters.island_size = 1; if (!parameters.population_size) - parameters.population_size = 58; + parameters.population_size = 1665; //58; if (!parameters.dimension) parameters.dimension = 10; // 10 or 30 if (!parameters.domain_function.min) @@ -36,15 +39,22 @@ void set_default_parameters_diferencial() if (!parameters.domain_function.max) parameters.domain_function.max = 100; if (!parameters.num_generations_per_epoca) - parameters.num_generations_per_epoca = 300; + parameters.num_generations_per_epoca = (int)(5505098/1665);//676 ; if (!parameters.mutation_rate) - parameters.mutation_rate = 4; // % - if (!parameters.crossover_rate) - parameters.crossover_rate = 54; // % + parameters.mutation_rate = 5;//4; // % if (!parameters.seed) parameters.seed = time(NULL); if (!parameters.evaluation_limit) parameters.evaluation_limit = 1490400; + srand(parameters.seed); +} + +void reset_parameters_diferencial() { + parameters.population_size = 0; + parameters.num_generations_per_epoca = 0; + parameters.mutation_rate = 0; + parameters.F = 0; + parameters.seed = 0; } populacao *mutation_diferencial(populacao *populacao_original, int dimension, domain domain_function) @@ -94,9 +104,11 @@ void selection_diferencial(populacao *population_original, populacao *population for (int i = 0; i < population_mutation->size; i++) { if (population_mutation->individuos[i].fitness < population_original->individuos[i].fitness) - population_original->individuos[i] = population_mutation->individuos[i]; + copy_individuo(&population_mutation->individuos[i], &population_original->individuos[i], parameters.dimension); + //population_original->individuos[i] = population_mutation->individuos[i]; } qsort(population_original->individuos, population_original->size, sizeof(individuo), comparador_individuo); + destroy_island(population_mutation, 1); DEBUG(printf("População selecionada\n");); DEBUG(print_population(population_original->individuos, population_original->size, dimension, 1);); } @@ -131,13 +143,14 @@ populacao *crossover_diferencial(populacao *populacao_original, populacao *popul } fitness(&nova_populacao->individuos[i], dimension, parameters.function_number); } + destroy_island(populacao_mutada, 1); return nova_populacao; } populacao *diferencial(populacao *population) { set_default_parameters_diferencial(); - + //print_parameters(parameters); if(population == NULL){ population = generate_island(1,parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); } @@ -159,7 +172,7 @@ populacao *diferencial(populacao *population) populacao *mutation_population; int generation_count = 0; - while (evaluation_count < parameters.evaluation_limit && difftime(time_now, time_init) < parameters.time_limit) + while (generation_count < parameters.num_generations_per_epoca && difftime(time_now, time_init) < parameters.time_limit) { mutation_population = mutation_diferencial(original_population, parameters.dimension, parameters.domain_function); cross_population = crossover_diferencial(original_population, mutation_population, parameters.dimension); @@ -170,26 +183,8 @@ populacao *diferencial(populacao *population) STATISTICS(print_coords(&original_population->individuos[original_population->size - 1], 1, generation_count, parameters.num_generations_per_epoca);); DEBUG(printf("\nGeração: %d\n", generation_count);); generation_count++; - evaluation_count += original_population->size; time(&time_now); } - // individuo *bestCurrent = get_best_of_population(*original_population); - // puts("\nMelhor de toda a população:"); - // print_individuo(*bestCurrent, dimension); - // printf("%lf\n", bestCurrent->fitness); - //if (bestCurrent->fitness < bestIndividuo.fitness) - // bestIndividuo = *bestCurrent; - - // migrate(populations, parameters.island_size, dimension, domain_function); - - // Verifica se um best_Individuo foi encontrado em relaçao a epoca anterior - // if(doubleEqual(bestIndividuo.fitness, best_ep_ant, 2)){ - // total_epocs_s_m++; - // } - // else - // total_epocs_s_m = 0; - // //Se o limite de epocas sem melhora for atingido é finalizada a evolucao - // if(total_epocs_s_m == limit_epocs) - // continue_evol = 0; + reset_parameters_diferencial(); return original_population; } diff --git a/src/algorithms/genetic.c b/src/algorithms/genetic.c index 0fe3fec84..8ab328414 100644 --- a/src/algorithms/genetic.c +++ b/src/algorithms/genetic.c @@ -17,16 +17,18 @@ #define DEBUG(x) #define LOG(x) + void set_default_parameters_genetic() { + if (!parameters.function_number) parameters.function_number = 3; + if (!parameters.num_generations_per_epoca) + parameters.num_generations_per_epoca = (int)(5505098/3229);//529; if (!parameters.time_limit) parameters.time_limit = 10; // seconds - if (!parameters.island_size) - parameters.island_size = 1; if (!parameters.population_size) - parameters.population_size = 100; + parameters.population_size = 3229; // 507; if (!parameters.dimension) parameters.dimension = 10; // 10 or 30 if (!parameters.domain_function.min) @@ -34,15 +36,23 @@ void set_default_parameters_genetic() if (!parameters.domain_function.max) parameters.domain_function.max = 100; if (!parameters.mutation_rate) - parameters.mutation_rate = 25; // % + parameters.mutation_rate = 13; // 6; // % if (!parameters.crossover_rate) - parameters.crossover_rate = 62; // % - if (!parameters.num_migrations) - parameters.num_migrations = 0; + parameters.crossover_rate = 8; // 21; // % if (!parameters.evaluation_limit) parameters.evaluation_limit = 1490400; if (!parameters.seed) parameters.seed = time(NULL); + srand(parameters.seed); +} + +void reset_parameters_genetic() +{ + parameters.population_size = 0; + parameters.mutation_rate = 0; + parameters.crossover_rate = 0; + parameters.seed = 0; + parameters.num_generations_per_epoca = 0; } void print_roleta(int *roleta, int roleta_size, int ball1, int ball2) @@ -114,8 +124,13 @@ populacao *mutation_commom(populacao *populacao, int dimension, domain domain_fu DEBUG(printf("\nmutation\n");); for (int i = 0; i < populacao->size - 1; i++) { - int mutation_point = rand() % dimension; - populacao->individuos[i].chromosome[mutation_point] = random_double(domain_function.min, domain_function.max); + for (int j = 0; j < dimension; j++) + { + if (rand() % 100 < parameters.mutation_rate) + { + populacao->individuos[i].chromosome[j] = random_double(domain_function.min, domain_function.max); + } + } fitness(&populacao->individuos[i], dimension, parameters.function_number); } return populacao; @@ -195,39 +210,48 @@ populacao *crossover(populacao *populacao_original, populacao *populacao_mutada, populacao *nova_populacao = generate_island(1, populacao_original->size, dimension, parameters.domain_function, parameters.function_number); DEBUG(printf("\ncruzamento\n");); int i; + individuo *filho = generate_population(1, parameters.dimension, parameters.domain_function, parameters.function_number); for (i = 0; i < populacao_original->size; i++) { individuo *parents[2]; - if (0) - select_parents(*populacao_mutada, parents); - else - select_parents(*populacao_original, parents); + if (rand() % 100 < parameters.crossover_rate) + { + if (0) // sempre escolher da população original + select_parents(*populacao_mutada, parents); + else + select_parents(*populacao_original, parents); - individuo parent1 = *parents[0]; - individuo parent2 = *parents[1]; - individuo filho; - switch (3) + individuo parent1 = *parents[0]; + individuo parent2 = *parents[1]; + switch (3) // sempre usar o cruzamento de ponto de corte + { + case MEDIA: + cruzamento_media(parent1, parent2, dimension, filho); + case METADE: + cruzamento_metade(parent1, parent2, dimension, filho); + case PONTO: + cruzamento_ponto(parent1, parent2, dimension, filho); + case MEDIA_GEOMETRICA: + cruzamento_ponto(parent1, parent2, dimension, filho); + case FLAT: + cruzamento_flat(parent1, parent2, dimension, filho); + case BLEND: + cruzamento_blend(parent1, parent2, dimension, filho); + default: + cruzamento_media(parent1, parent2, dimension, filho); + } + + fitness(filho, dimension, parameters.function_number); + copy_individuo(filho, &nova_populacao->individuos[i], 10); + + } + else { - case MEDIA: - filho = cruzamento_media(parent1, parent2, dimension); - case METADE: - filho = cruzamento_metade(parent1, parent2, dimension); - case PONTO: - filho = cruzamento_ponto(parent1, parent2, dimension); - case MEDIA_GEOMETRICA: - filho = cruzamento_ponto(parent1, parent2, dimension); - case FLAT: - filho = cruzamento_flat(parent1, parent2, dimension); - case BLEND: - filho = cruzamento_blend(parent1, parent2, dimension); - default: - filho = cruzamento_media(parent1, parent2, dimension); + clone_individue(&nova_populacao->individuos[i], &populacao_original->individuos[i], dimension); } - - fitness(&filho, dimension, parameters.function_number); - nova_populacao->individuos[i] = filho; } + destroy_population(filho, 1); // nova_populacao->individuos[populacao->size - 1] = populacao->individuos[populacao->size - 1]; return nova_populacao; } @@ -235,14 +259,15 @@ populacao *crossover(populacao *populacao_original, populacao *populacao_mutada, populacao *genetic(populacao *population) { set_default_parameters_genetic(); + // print_parameters(parameters); - if(population == NULL){ - population = generate_island(1,parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); + if (population == NULL) + { + population = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); } DEBUG(printf("\nevolution\n");); individuo *parents[2]; individuo bestIndividuo = {.fitness = INFINITY}; - //populacao *populations = generate_island(parameters.island_size, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); time_t time_init, time_now; int evaluation_count = 0; int epoca_count = 0; @@ -256,7 +281,7 @@ populacao *genetic(populacao *population) populacao *mutation_population; int generation_count = 0; - while (evaluation_count < parameters.evaluation_limit && difftime(time_now, time_init) < parameters.time_limit) + while (generation_count < parameters.num_generations_per_epoca && difftime(time_now, time_init) < parameters.time_limit) { cross_population = crossover(original_population, mutation_population, parameters.dimension); @@ -271,24 +296,7 @@ populacao *genetic(populacao *population) evaluation_count += original_population->size; time(&time_now); } - // individuo *bestCurrent = get_best_of_population(*original_population); - // puts("\nMelhor de toda a população:"); - // print_individuo(*bestCurrent, dimension); - // printf("%lf\n", bestCurrent->fitness); - // if (bestCurrent->fitness < bestIndividuo.fitness) - // bestIndividuo = *bestCurrent; - - // migrate(populations, parameters.island_size, dimension, domain_function); - - // Verifica se um best_Individuo foi encontrado em relaçao a epoca anterior - // if(doubleEqual(bestIndividuo.fitness, best_ep_ant, 2)){ - // total_epocs_s_m++; - // } - // else - // total_epocs_s_m = 0; - // //Se o limite de epocas sem melhora for atingido é finalizada a evolucao - // if(total_epocs_s_m == limit_epocs) - // continue_evol = 0; + reset_parameters_genetic(); return original_population; } \ No newline at end of file diff --git a/src/algorithms/parameters.c b/src/algorithms/parameters.c index 03a7f93c2..e945bde77 100644 --- a/src/algorithms/parameters.c +++ b/src/algorithms/parameters.c @@ -10,7 +10,7 @@ void print_usage() { - printf("Usage: ./evolucao_mpop -f -t -i -p -d -l -u -g -m "); + printf("Usage: ./evolucao_mpop -f -t -i -p -d -l -u -g -m -k"); } args parameters; @@ -18,15 +18,17 @@ args parameters; void set_parameters(int argc, char *argv[]) { int opt; - while ((opt = getopt(argc, argv, "A:f:F:t:i:p:d:l:u:g:m:c:k:s:v:z:C:p:e:a:")) != -1) + while ((opt = getopt(argc, argv, "A:f:F:t:i:p:d:l:u:g:m:c:k:s:v:z:C:P:e:a:K:M:Q:O:D:L:G:N:")) != -1) { switch (opt) { case 'A': - parameters.num_algorithms = size_of_array(optarg); strcpy(parameters.algorithms, optarg); break; + case 'N': + parameters.num_algorithms = atoi(optarg); + break; case 'f': parameters.function_number = atoi(optarg); break; @@ -60,11 +62,17 @@ void set_parameters(int argc, char *argv[]) case 'k': parameters.num_migrations = atoi(optarg); break; + case 'K': + parameters.num_epocas = atoi(optarg); + break; + case 'M': + parameters.choice_random_migrate = atof(optarg); + break; case 'F': parameters.F = atof(optarg); break; case 's': - parameters.seed = atoi(optarg); + parameters.seed = atoi(optarg); // não funciona momento, os algoritmos vão definir uma semente própria break; case 'v': parameters.c1 = atof(optarg); @@ -81,6 +89,21 @@ void set_parameters(int argc, char *argv[]) case 'e': parameters.tax_evaporate = atof(optarg); break; + case 'Q': + parameters.num_pso = atoi(optarg); + break; + case 'L': + parameters.num_clonal = atoi(optarg); + break; + case 'O': + parameters.num_aco = atoi(optarg); + break; + case 'G': + parameters.num_genetico = atoi(optarg); + break; + case 'D': + parameters.num_diferencial = atoi(optarg); + break; case 'P': parameters.p_exploitation = atof(optarg); break; diff --git a/src/algorithms/pso.c b/src/algorithms/pso.c index 544fe1c79..f65cd1cc5 100644 --- a/src/algorithms/pso.c +++ b/src/algorithms/pso.c @@ -16,19 +16,15 @@ #define STATISTICS(x) #define DEBUG(x) #define LOG(x) - +/*5.505.098*/ void set_default_parameters_pso() { - if (!parameters.F) - parameters.F = 0.99; if (!parameters.function_number) parameters.function_number = 3; if (!parameters.time_limit) parameters.time_limit = 10; // seconds - if (!parameters.island_size) - parameters.island_size = 10; if (!parameters.population_size) - parameters.population_size = 5598; + parameters.population_size = 9111; if (!parameters.dimension) parameters.dimension = 10; // 10 or 30 if (!parameters.domain_function.min) @@ -36,19 +32,23 @@ void set_default_parameters_pso() if (!parameters.domain_function.max) parameters.domain_function.max = 100; if (!parameters.num_generations_per_epoca) - parameters.num_generations_per_epoca = 300; - if (!parameters.mutation_rate) - parameters.mutation_rate = 100; // % - if (!parameters.crossover_rate) - parameters.crossover_rate = 100; // % - if (!parameters.num_migrations) - parameters.num_migrations = 3; + parameters.num_generations_per_epoca = (int)(5505098/9111);//153; if (!parameters.seed) parameters.seed = time(NULL); if (!parameters.c1) - parameters.c1 = 1.523; + parameters.c1 = 0.61845; if (!parameters.c2) - parameters.c2 = 0.77623; + parameters.c2 = 0.74494; + srand(parameters.seed); +} + +void reset_parameters_pso() +{ + parameters.population_size = 0; + parameters.num_generations_per_epoca = 0; + parameters.c1 = 0; + parameters.c2 = 0; + parameters.seed = 0; } void verifica_limites(individuo *individuo, int dimension) @@ -71,16 +71,6 @@ void verifica_limites(individuo *individuo, int dimension) } } -void copy_individuo_pso(individuo *original, individuo *copia, int dimension) -{ - copia->fitness = original->fitness; - for (int i = 0; i < dimension; i++) - { - copia->chromosome[i] = original->chromosome[i]; - copia->velocidade[i] = original->velocidade[i]; - } -} - void atualiza_posicao(individuo *individuo_atual, int dimension) { // puts("Individuo antes da atualização:"); // print_individuo(*individuo_atual, dimension, 0); @@ -103,16 +93,28 @@ void calcula_componente(double *componente, individuo *individuo_1, individuo *i } } +void copy_individuo_pso(individuo *original, individuo *copia, int dimension) +{ + copia->fitness = original->fitness; + for (int i = 0; i < dimension; i++) + { + copia->chromosome[i] = original->chromosome[i]; + copia->velocidade[i] = original->velocidade[i]; + } +} + populacao *pso(populacao *population) { set_default_parameters_pso(); - //print_individuo(population->individuos[2], parameters.dimension, 0); - if(population == NULL){ - population = generate_island(1,parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); + // print_parameters(parameters); + // print_individuo(population->individuos[2], parameters.dimension, 0); + if (population == NULL) + { + population = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); } populacao *population_best_current; - population_best_current = generate_island(1,parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); - + population_best_current = generate_island(1, parameters.population_size, parameters.dimension, parameters.domain_function, parameters.function_number); + time_t time_init, time_now; time(&time_init); time(&time_now); @@ -122,58 +124,40 @@ populacao *pso(populacao *population) double *c1 = malloc(parameters.dimension * sizeof(double)); double *c2 = malloc(parameters.dimension * sizeof(double)); int generation_count = 0; - int max_inter_add = 100; - int max_inter = max_inter_add; - int cont_or_stop = 1; - - while (cont_or_stop && difftime(time_now, time_init) < parameters.time_limit) + + while (generation_count < parameters.num_generations_per_epoca && difftime(time_now, time_init) < parameters.time_limit) { - - double best_anter = individuo_best->fitness; - while (generation_count < max_inter && difftime(time_now, time_init) < parameters.time_limit) + for (int i = 0; i < parameters.population_size; i++) { - for (int i = 0; i < parameters.population_size; i++) - { - - if (population->individuos[i].fitness < population_best_current->individuos[i].fitness) - copy_individuo_pso(&population->individuos[i], &population_best_current->individuos[i], parameters.dimension); - if (population->individuos[i].fitness < individuo_best->fitness) - copy_individuo_pso(&population->individuos[i], individuo_best, parameters.dimension); - - double r1 = (double)rand() / RAND_MAX; - double r2 = (double)rand() / RAND_MAX; - // calcula_componente(c1, &population_best_current->individuos[i], &population->individuos[i], parameters.dimension); - // calcula_componente(c2, individuo_best, &population->individuos[i], parameters.dimension); - // w(t) = w_max - ((w_max - w_min) * t) / T - double w = w_max - ((w_max - w_min) * generation_count) / max_inter; - for (int j = 0; j < parameters.dimension; j++) - { - // v_{i,d}(t+1) = wv_{i,d}(t) + c1r1*(pbest_{i,d}-x_{i,d}(t)) + c2r2(gbest_{d}-x_{i,d}(t)) - population->individuos[i].velocidade[j] = population->individuos[i].velocidade[j] * w + - parameters.c1 * r1 * (population_best_current->individuos[i].chromosome[j] - population->individuos[i].chromosome[j]) + - parameters.c2 * r2 * (individuo_best->chromosome[j] - population->individuos[i].chromosome[j]); - } + if (population->individuos[i].fitness < population_best_current->individuos[i].fitness) + copy_individuo_pso(&population->individuos[i], &population_best_current->individuos[i], parameters.dimension); + if (population->individuos[i].fitness < individuo_best->fitness) + copy_individuo_pso(&population->individuos[i], individuo_best, parameters.dimension); - atualiza_posicao(&population->individuos[i], parameters.dimension); - fitness(&population->individuos[i], parameters.dimension, parameters.function_number); - // print_individuo(population->individuos[i], dimension, 0); + double r1 = (double)rand() / RAND_MAX; + double r2 = (double)rand() / RAND_MAX; + // calcula_componente(c1, &population_best_current->individuos[i], &population->individuos[i], parameters.dimension); + // calcula_componente(c2, individuo_best, &population->individuos[i], parameters.dimension); + + // w(t) = w_max - ((w_max - w_min) * t) / T + double w = w_max - ((w_max - w_min) * generation_count) / parameters.num_generations_per_epoca; + for (int j = 0; j < parameters.dimension; j++) + { + // v_{i,d}(t+1) = wv_{i,d}(t) + c1r1*(pbest_{i,d}-x_{i,d}(t)) + c2r2(gbest_{d}-x_{i,d}(t)) + population->individuos[i].velocidade[j] = population->individuos[i].velocidade[j] * w + + parameters.c1 * r1 * (population_best_current->individuos[i].chromosome[j] - population->individuos[i].chromosome[j]) + + parameters.c2 * r2 * (individuo_best->chromosome[j] - population->individuos[i].chromosome[j]); } - time(&time_now); - generation_count++; - } - // double desv = desvio_padrao(population->individuos, population_size); - // printf("Desvio_P: %lf\n", desv); - if (doubleEqual(best_anter, individuo_best->fitness, 4)) - { - cont_or_stop = 0; - } - else - { - max_inter += max_inter_add; + atualiza_posicao(&population->individuos[i], parameters.dimension); + fitness(&population->individuos[i], parameters.dimension, parameters.function_number); } + time(&time_now); + generation_count++; } copy_individuo_pso(individuo_best, &population->individuos[0], parameters.dimension); + destroy_island(population_best_current, 1); + reset_parameters_pso(); return population; } \ No newline at end of file diff --git a/src/main.c b/src/algoritmoIlhaEscolhaDireta.c similarity index 63% rename from src/main.c rename to src/algoritmoIlhaEscolhaDireta.c index 9f9e972d6..304147ef2 100644 --- a/src/main.c +++ b/src/algoritmoIlhaEscolhaDireta.c @@ -1,3 +1,25 @@ +/** + * @brief Este algoritmo de ilha aceita que seja passado qual o conjunto de algoritmos que irá compor o conjunto de ilhas. Os parâmetros são: + * -A: conjunto de algoritmos que irão compor o conjunto de ilhas. + * Exemplo: -A 1,2,3,4,2: + * Cada valor representa a quantidade de ilhas para cada algoritmo + * Ordem: + * 0 - PSO + * 1 - DE + * 2 - ACO + * 3 - CLONALG + * 4 - GA + * + * Exemplo de execução: ./evol -A 1,2,3,4,2 -K 2 -k 3 + * + * @author @gustavo1902 + * @author @ViniciusBastoss + * @author @caioreius + * @author @GuilhermeAGouveia + * Orientador: Prof. Dr. @iagoac + * @date 2023-08-31 +*/ + #include #include #include "algorithms/genetic.h" @@ -9,6 +31,7 @@ #include "algorithms/commom.h" #include "libs/utils.h" + #define DEBUG(x) void set_neighbours(populacao **populations, int island_size) @@ -51,24 +74,27 @@ void print_combinations(Array combinations, int nAlgorithms) } } - int main(int argc, char *argv[]) { set_parameters(argc, argv); // Lê os parâmetros da linha de comando e repassa para as variáveis globais - individuo *gbest_individuo = NULL; - individuo *pbest_individuo = NULL; - populacao **populations = calloc(10, sizeof(populacao*)); + individuo *gbest_individuo = generate_population(1, 10, parameters.domain_function, 15); + individuo *pbest_individuo = generate_population(1, 10, parameters.domain_function, 15); + gbest_individuo->fitness = INFINITY; + + populacao **populations = calloc(parameters.num_algorithms, sizeof(populacao *)); int *alg_set = convert_parameter_to_array(parameters.algorithms); + alg_set = get_algorithms(alg_set, parameters.num_algorithms); printf("Algorithms: "); printVector(alg_set, parameters.num_algorithms); - for (int i = 0; i < parameters.num_migrations; i++) + + for (int i = 0; i < parameters.num_epocas; i++) { for (int alg_pos = 0; alg_pos < parameters.num_algorithms; alg_pos++) { - enum algorithm alg = (enum algorithm) (alg_set[alg_pos]); + enum algorithm alg = (enum algorithm)(alg_set[alg_pos]); printf("Running algorithm %s\n", translateIntToAlg(alg)); @@ -94,20 +120,20 @@ int main(int argc, char *argv[]) exit(1); } - pbest_individuo = get_best_of_population(*populations[alg_pos]); + copy_individuo(get_best_of_population(*populations[alg_pos]),pbest_individuo, parameters.dimension); print_individuo(*pbest_individuo, parameters.dimension, alg_pos); - if (gbest_individuo == NULL || pbest_individuo->fitness < gbest_individuo->fitness) + if (pbest_individuo->fitness < gbest_individuo->fitness) { - gbest_individuo = pbest_individuo; + copy_individuo(pbest_individuo,gbest_individuo, parameters.dimension); } } set_neighbours(populations, parameters.num_algorithms); - //print_neighbours(populations, parameters.num_algorithms); + // print_neighbours(populations, parameters.num_algorithms); printf("Migrating...\n"); - migrate(populations, parameters.num_algorithms, 4, parameters.dimension, parameters.domain_function, parameters.function_number); - //random_random_migrate(populations, parameters.num_algorithms, 4, parameters.dimension, parameters.domain_function, parameters.function_number); - - + if (((float)rand() / RAND_MAX) < parameters.choice_random_migrate) + random_random_migrate(populations, parameters.num_algorithms, parameters.num_migrations, parameters.dimension, parameters.domain_function, parameters.function_number); + else + migrate(populations, parameters.num_algorithms, parameters.num_migrations, parameters.dimension, parameters.domain_function, parameters.function_number); } printf("Best %lf\n", gbest_individuo->fitness); diff --git a/src/algoritmoIlhaEscolhaProporcional.c b/src/algoritmoIlhaEscolhaProporcional.c new file mode 100644 index 000000000..84c6c651a --- /dev/null +++ b/src/algoritmoIlhaEscolhaProporcional.c @@ -0,0 +1,236 @@ +/** + * @brief Este algoritmo de ilha seleciona os algoritmos que irão compor o conjunto de ilha com base na proporção de cada um, que é passada por parâmetro. Os parâmetros são: + * -Q: proporção do PSO + * -G: proporção do GA + * -D: proporção do DE + * -O: proporção do ACO + * -L: proporção do CLONALG + * O tamanho do conjunto de ilhas é passado por parâmetro com a flag -N. + * + * Exemplo de execução: ./evol -N 10 -Q 30 -G 0 -D 68 -O 0 -L 49 -K 2 + * + * @author @gustavo1902 + * @author @ViniciusBastoss + * @author @caioreius + * @author @GuilhermeAGouveia + * Orientador: Prof. Dr. @iagoac + * @date 2023-08-31 +*/ + +#include +#include +#include "algorithms/genetic.h" +#include "algorithms/pso.h" +#include "algorithms/clonalg.h" +#include "algorithms/aco.h" +#include "algorithms/diferencial.h" +#include "algorithms/parameters.h" +#include "algorithms/commom.h" +#include "libs/utils.h" +#include + +#define DEBUG(x) + + + +void set_neighbours(populacao **populations, int island_size) +{ + DEBUG(printf("\nset_neighbours\n");); + for (int i = 0; i < island_size; i++) + { + DEBUG(printf("Populacao %d com %d individuos\n", i, populations[i]->size);); + populacao *current_island = populations[i]; + current_island->neighbours = calloc(4, sizeof(populacao *)); + current_island->neighbours[0] = populations[(i + 1) % island_size]; + current_island->neighbours[1] = populations[(i + 3) % island_size]; + } +} + +void print_neighbours(populacao **populations, int island_size) +{ + DEBUG(printf("\nprint_neighbours\n");); + for (int i = 0; i < island_size; i++) + { + printf("Populacao %d com %d individuos\n", i, populations[i]->size); + populacao *current_island = populations[i]; + for (int j = 0; j < 4; j++) + { + populacao *vizinho = current_island->neighbours[j]; + if (vizinho == NULL) + continue; + printf("Populacao %d tem vizinho %d\n", i, vizinho->size); + } + } +} + +void print_combinations(Array combinations, int nAlgorithms) +{ + for (int i = 0; i < combinations.size; i++) + { + printf("Combination %d: ", i); + printVector(combinations.arr[i], nAlgorithms); + printf("\n"); + } +} + +void return_evol(int *vet , int size){ + int totais[5]; + totais[0] = 0; + totais[1] = 0; + totais[2] = 0; + totais[3] = 0; + totais[4] = 0; + for(int i = 0; i < 5; i++){ + for(int j = 0; j < size; j++){ + while (vet[j] != i && j+1 < size){ + j++; + } + if(vet[j] == i) + totais[i] += 1; + } + + } + //printf("./evol -K %d -k %d -M %lf -A %d,%d,%d,%d,%d\n", parameters.num_epocas, parameters.num_migrations, parameters.choice_random_migrate, totais[0], totais[1], totais[2], totais[3], totais[4]); + printf("%d,%d,%d,%lf,%d,%d,%d,%d,%d\n",parameters.num_algorithms, parameters.num_epocas, parameters.num_migrations, parameters.choice_random_migrate, totais[0], totais[1], totais[2], totais[3], totais[4]); +} +void get_algoritms(int *result){ + + double soma_proporcoes = parameters.num_pso + parameters.num_aco + parameters.num_clonal + parameters.num_diferencial + parameters.num_genetico; + int cont = 0, total_islands = 0; + double total_islands_double; + proporcao_alg proporcoes[5]; + + proporcoes[0].proporcao = parameters.num_pso; + proporcoes[1].proporcao = parameters.num_diferencial; + proporcoes[2].proporcao = parameters.num_aco; + proporcoes[3].proporcao = parameters.num_clonal; + proporcoes[4].proporcao = parameters.num_genetico; + + for(int i = 0; i < 5; i++){ + total_islands_double = parameters.num_algorithms * (proporcoes[i].proporcao/soma_proporcoes); + proporcoes[i].alg = i; + if((total_islands_double - (int)total_islands_double) < 0.5) + proporcoes[i].total_islands = (int)total_islands_double; + else + proporcoes[i].total_islands = 1 + (int)total_islands_double; + total_islands += proporcoes[i].total_islands; + } + + qsort(&proporcoes, 5, sizeof(proporcao_alg), comparador_proporcoes_alg); + + //for(int i = 0; i < 5; i++){ + // printf("proporção:%d\n",proporcoes[i].proporcao); + // } + + //adiciona ilhas aos algoritmos até que total == num_algoritmos + while(total_islands < parameters.num_algorithms){ + for(int i = 0; total_islands < parameters.num_algorithms && i < 5; i++){ + proporcoes[i].total_islands += 1; + total_islands += 1; + } + } + + while(total_islands > parameters.num_algorithms){ + for(int i = 5; total_islands > parameters.num_algorithms && i > 0; i--){ + proporcoes[i].total_islands -= 1; + total_islands -= 1; + } + } + + //cria o vetor de algoritmos [0,0,0,1,1...] + for(int i = 0; i < 5; i++){ + for(int j = 0; j < proporcoes[i].total_islands; j++, cont++){ + result[cont] = proporcoes[i].alg; + } + } + printVector(result, parameters.num_algorithms); + //return_evol(result, parameters.num_algorithms); + +} + +void print_arr_int(int *arr, int size){ + for(int i = 0; i < size; i++){ + if (i == size - 1) + printf("%d", arr[i]); + else + printf("%d,", arr[i]); + } + printf("\n"); +} + +int main(int argc, char *argv[]) +{ + // ./evol -t 1 -K 2 -k 3 -Q 30 -G 0 -D 68 -O 0 -L 49 -A 10 + set_parameters(argc, argv); // Lê os parâmetros da linha de comando e repassa para as variáveis globais + int *algoritmos = calloc(parameters.num_algorithms, sizeof(int *));; + get_algoritms(algoritmos); + + individuo *gbest_individuo = generate_population(1, 10, parameters.domain_function, 15); + individuo *pbest_individuo = generate_population(1, 10, parameters.domain_function, 15); + gbest_individuo->fitness = -10; + populacao **populations = calloc(parameters.num_algorithms, sizeof(populacao *)); + //int *alg_set = convert_parameter_to_array(parameters.algorithms); + //printf("Algorithms: "); + //printVector(alg_set, parameters.num_algorithms); + + for (int i = 0; i < parameters.num_epocas; i++) + { + + for (int alg_pos = 0; alg_pos < parameters.num_algorithms; alg_pos++) + { + + enum algorithm alg = (enum algorithm)(algoritmos[alg_pos]); + + printf("Running algorithm %s\n", translateIntToAlg(alg)); + + switch (alg) + { + case PSO: + populations[alg_pos] = pso(populations[alg_pos]); + break; + case GA: + populations[alg_pos] = genetic(populations[alg_pos]); + break; + case DE: + populations[alg_pos] = diferencial(populations[alg_pos]); + break; + case ACO: + populations[alg_pos] = aco(populations[alg_pos]); + break; + case CLONALG: + populations[alg_pos] = clonalg(populations[alg_pos]); + break; + default: + printf("Invalid algorithm. Please use one of the following: p, g, d, a, c\n"); + exit(1); + } + //print_population(populations[alg_pos]->individuos, 10, 10, 0); + + //pbest_individuo = get_best_of_population(*populations[alg_pos]); + copy_individuo(get_best_of_population(*populations[alg_pos]),pbest_individuo, parameters.dimension); + print_individuo(*pbest_individuo, parameters.dimension, alg_pos); + + if (gbest_individuo->fitness < 0 || pbest_individuo->fitness < gbest_individuo->fitness) + { + //gbest_individuo = pbest_individuo; + copy_individuo(pbest_individuo,gbest_individuo, parameters.dimension); + } + } + set_neighbours(populations, parameters.num_algorithms); + // print_neighbours(populations, parameters.num_algorithms); + printf("Migrating...\n"); + if (((float)rand() / RAND_MAX) < parameters.choice_random_migrate) + random_random_migrate(populations, parameters.num_algorithms, parameters.num_migrations, parameters.dimension, parameters.domain_function, parameters.function_number); + else + migrate(populations, parameters.num_algorithms, parameters.num_migrations, parameters.dimension, parameters.domain_function, parameters.function_number); + } + + printf("Best %lf\n", gbest_individuo->fitness); + + for (int i = 0; i < parameters.num_algorithms; i++) + { + destroy_island(populations[i], 1); + } + + return 0; +} diff --git a/src/coleta-info.sh b/src/coleta-info.sh index a92e44bcb..05f59944b 100755 --- a/src/coleta-info.sh +++ b/src/coleta-info.sh @@ -111,7 +111,7 @@ set_color_progress() { } define_command_evol() { - echo "./evol -A $alg_config -f $function_number -t $time_limit -k 3" + echo "./evol -A $alg_config -f $function_number -t $time_limit -K 1" } show_indicator_algorithm() { diff --git a/src/furaaf.sh b/src/furaaf.sh index 056f36171..4d1a02a47 100755 --- a/src/furaaf.sh +++ b/src/furaaf.sh @@ -3,13 +3,16 @@ # Coloque _ no inicio do nome dos algoritmos que não deseja executar # Exemplo: _nome_do_algoritmo.sh +#./inputForFuraaf.sh +echo "Executando o make" +export COD_NAME="algoritmoIlhaEscolhaDireta" make -all_configurations=$(./combination 3 4 | tee) +all_configurations=$(cat ilhas.txt) for config in $all_configurations; do rm results/tcc/result_[$config].txt clear for func in $(seq 1 15); do - ./coleta-info.sh -n 20 -c $config -f $func -t 1 | tee output-coleta-info.dat + ./coleta-info.sh -n 5 -c $config -f $func -t 5 | tee output-coleta-info.dat result=$(cat output-coleta-info.dat | tail -n 6) echo -e $result >> results/tcc/result_[$config].txt rm output-coleta-info.dat diff --git a/src/getInputForFuraaf.c b/src/getInputForFuraaf.c new file mode 100644 index 000000000..4a37aa843 --- /dev/null +++ b/src/getInputForFuraaf.c @@ -0,0 +1,93 @@ +/** + * Entra com o comando otimizado pelo irace e retorna um vetor com os algoritmos + * Entrada: ./evol -t 1 -K 2 -k 3 -Q 30 -G 0 -D 68 -O 0 -L 49 -N 10 + * Saída: 1,1,1,1,1,3,3,3,0,0 +*/ + +#include +#include +#include "algorithms/genetic.h" +#include "algorithms/pso.h" +#include "algorithms/clonalg.h" +#include "algorithms/aco.h" +#include "algorithms/diferencial.h" +#include "algorithms/parameters.h" +#include "algorithms/commom.h" +#include "libs/utils.h" +#include + +#define DEBUG(x) + +void get_algoritms(int *result){ + + double soma_proporcoes = parameters.num_pso + parameters.num_aco + parameters.num_clonal + parameters.num_diferencial + parameters.num_genetico; + int cont = 0, total_islands = 0; + double total_islands_double; + proporcao_alg proporcoes[5]; + + proporcoes[0].proporcao = parameters.num_pso; + proporcoes[1].proporcao = parameters.num_diferencial; + proporcoes[2].proporcao = parameters.num_aco; + proporcoes[3].proporcao = parameters.num_clonal; + proporcoes[4].proporcao = parameters.num_genetico; + + for(int i = 0; i < 5; i++){ + total_islands_double = parameters.num_algorithms * (proporcoes[i].proporcao/soma_proporcoes); + proporcoes[i].alg = i; + if((total_islands_double - (int)total_islands_double) < 0.5) + proporcoes[i].total_islands = (int)total_islands_double; + else + proporcoes[i].total_islands = 1 + (int)total_islands_double; + total_islands += proporcoes[i].total_islands; + } + + qsort(&proporcoes, 5, sizeof(proporcao_alg), comparador_proporcoes_alg); + + //for(int i = 0; i < 5; i++){ + // printf("proporção:%d\n",proporcoes[i].proporcao); + // } + + //adiciona ilhas aos algoritmos até que total == num_algoritmos + while(total_islands < parameters.num_algorithms){ + for(int i = 0; total_islands < parameters.num_algorithms && i < 5; i++){ + proporcoes[i].total_islands += 1; + total_islands += 1; + } + } + + while(total_islands > parameters.num_algorithms){ + for(int i = 5; total_islands > parameters.num_algorithms && i > 0; i--){ + proporcoes[i].total_islands -= 1; + total_islands -= 1; + } + } + + //cria o vetor de algoritmos [0,0,0,1,1...] + for(int i = 0; i < 5; i++){ + for(int j = 0; j < proporcoes[i].total_islands; j++, cont++){ + result[cont] = proporcoes[i].alg; + } + } + +} + +void print_arr_int(int *arr, int size){ + for(int i = 0; i < size; i++){ + if (i == size - 1) + printf("%d", arr[i]); + else + printf("%d,", arr[i]); + } + printf("\n"); +} + +int main(int argc, char *argv[]) +{ + // ./evol -t 1 -K 2 -k 3 -Q 30 -G 0 -D 68 -O 0 -L 49 -A 10 + set_parameters(argc, argv); // Lê os parâmetros da linha de comando e repassa para as variáveis globais + int *algoritmos = calloc(parameters.num_algorithms, sizeof(int *));; + get_algoritms(algoritmos); + print_arr_int(algoritmos, parameters.num_algorithms); + + return 0; +} \ No newline at end of file diff --git a/src/ilhas.txt b/src/ilhas.txt new file mode 100644 index 000000000..46f8bfed5 --- /dev/null +++ b/src/ilhas.txt @@ -0,0 +1 @@ +0,1,0,0,0 diff --git a/src/inputForFuraaf.sh b/src/inputForFuraaf.sh new file mode 100755 index 000000000..f4c8207c7 --- /dev/null +++ b/src/inputForFuraaf.sh @@ -0,0 +1,13 @@ +echo "Coletando as informações de entrada para o furaaf.sh" +echo "Executando o make" + +export COD_NAME="getInputForFuraaf" +make + +echo "Limpando ilhas.txt" +rm -rf ilhas.txt + +for i in $(cat irace/results/results-island-model/results/results-evol-1-25.txt | grep "./" | cut -d'l' -f2 | sed "s/ /_/g"); do + params=$(echo $i | sed "s/_/ /g" | sed "s/A/N/g"); + ./evol $params >> ilhas.txt; +done \ No newline at end of file diff --git a/src/irace/aviso.txt b/src/irace/aviso.txt new file mode 100644 index 000000000..11184d000 --- /dev/null +++ b/src/irace/aviso.txt @@ -0,0 +1 @@ +Se precisar usar o pc pode fechar o visual studio e utiliza-lo normalmente em seu usuário e desliga-lo depois, vlw! \ No newline at end of file diff --git a/src/irace/executar_irace_desligar.sh b/src/irace/executar_irace_desligar.sh new file mode 100755 index 000000000..42eb4e110 --- /dev/null +++ b/src/irace/executar_irace_desligar.sh @@ -0,0 +1,10 @@ +seq="26 44" +for i in $seq; do + rm -f target-runner + cat target-runner-model | sed "s//$i/g" > target-runner + chmod +x target-runner + irace > result-irace-$i.txt +done; + +wait +#shutdown -h now \ No newline at end of file diff --git a/src/irace/functions/12 b/src/irace/functions/12 new file mode 100644 index 000000000..fe3a0735d --- /dev/null +++ b/src/irace/functions/12 @@ -0,0 +1 @@ +NULL \ No newline at end of file diff --git a/src/irace/functions/5 b/src/irace/functions/5 new file mode 100644 index 000000000..fe3a0735d --- /dev/null +++ b/src/irace/functions/5 @@ -0,0 +1 @@ +NULL \ No newline at end of file diff --git a/src/irace/parameters-ant.txt b/src/irace/parameters-ant.txt index 11e09cb38..ce2ebe66d 100644 --- a/src/irace/parameters-ant.txt +++ b/src/irace/parameters-ant.txt @@ -2,6 +2,7 @@ # name switch type values ##num_ant "-a" c (20,50,80,100,130,150,180,210,240,260,300) num_ant "-a" i (30,10000) -num_candidates "-c" i (5,30) +num_candidates "-c" i (3,30) tax_evaporate "-e" r (0,1) -##p_exploitation "-p" r (0,1) \ No newline at end of file +num_generations "-g" i (10, 2000) +##p_exploitation "-p" r (0,1) \ No newline at end of file diff --git a/src/irace/parameters-clonalg.txt b/src/irace/parameters-clonalg.txt index c16648e40..91ff29158 100644 --- a/src/irace/parameters-clonalg.txt +++ b/src/irace/parameters-clonalg.txt @@ -2,3 +2,4 @@ # name switch type values population_size "-p" i (30,10000) clones "-c" i (2,100) +num_generations "-g" i (10, 2000) \ No newline at end of file diff --git a/src/irace/parameters-diferencial.txt b/src/irace/parameters-diferencial.txt new file mode 100644 index 000000000..46049b1d0 --- /dev/null +++ b/src/irace/parameters-diferencial.txt @@ -0,0 +1,6 @@ +# Parameter file for the ACOTSP software +# name switch type values +population_size "-p" i (30,10000) +mutation_rate "-m" i (0,100) +F_differencial "-F" r (0, 2) +num_generations "-g" i (10, 800) \ No newline at end of file diff --git a/src/irace/parameters-genetic.txt b/src/irace/parameters-genetic.txt new file mode 100644 index 000000000..43a25a58e --- /dev/null +++ b/src/irace/parameters-genetic.txt @@ -0,0 +1,9 @@ +# Parameter file for the ACOTSP software +# name switch type values +#num_migrations "-K" i (1,3) +#migration_size "-k" i (2,4) +#algoritmo "-A" i (2,4) +population_size "-p" i (30,10000) +mutation_rate "-m" i (0,100) +crossover_rate "-c" i (0, 100) +num_generations "-g" i (10, 2000) diff --git a/src/irace/parameters-island-2.txt b/src/irace/parameters-island-2.txt new file mode 100644 index 000000000..499b33826 --- /dev/null +++ b/src/irace/parameters-island-2.txt @@ -0,0 +1,10 @@ +# Parameter file for the ACOTSP software +# name switch type values +num_migrations "-K" i (1, 10) +migration_size "-k" i (1,46) +random_random "-M" r (0.1, 1) +num_pso "-Q" i (0,100) +num_genetico "-G" i (0,100) +num_diferencial "-D" i (0,100) +num_aco "-O" i (0,100) +num_clonal "-L" i (0,100) diff --git a/src/irace/parameters-islands.txt b/src/irace/parameters-islands.txt new file mode 100644 index 000000000..0b32779cb --- /dev/null +++ b/src/irace/parameters-islands.txt @@ -0,0 +1,78 @@ +# Parameter file for the ACOTSP software +# name switch type values +num_migrations "-K" i (1, 10) +migration_size "-k" i (1,130) +random_random "-M" r (0.1, 1) + +##Combinações +## 2 +algoritmo "-A" c ("0,0","0,1","0,2","0,3","0,4","1,1","1,2","1,3","1,4","2,2","2,3","2,4","3,3","3,4","4,4") + +## 3 +#algoritmo "-A" c ("0,0,0","0,0,1","0,0,2","0,0,3","0,0,4","0,1,1","0,1,2","0,1,3","0,1,4","0,2,2","0,2,3","0,2,4","0,3,3","0,3,4","0,4,4","1,1,1","1,1,2","1,1,3","1,1,4","1,2,2","1,2,3","1,2,4","1,3,3","1,3,4","1,4,4","2,2,2","2,2,3","2,2,4","2,3,3","2,3,4","2,4,4","3,3,3","3,3,4","3,4,4","4,4,4") + +## 4 +#algoritmo "-A" c ("0,0,0,0","0,0,0,1","0,0,0,2","0,0,0,3","0,0,0,4","0,0,1,1","0,0,1,2","0,0,1,3","0,0,1,4","0,0,2,2","0,0,2,3","0,0,2,4","0,0,3,3","0,0,3,4","0,0,4,4","0,1,1,1","0,1,1,2","0,1,1,3","0,1,1,4","0,1,2,2","0,1,2,3","0,1,2,4","0,1,3,3","0,1,3,4","0,1,4,4","0,2,2,2","0,2,2,3","0,2,2,4","0,2,3,3","0,2,3,4","0,2,4,4","0,3,3,3","0,3,3,4","0,3,4,4","0,4,4,4","1,1,1,1","1,1,1,2","1,1,1,3","1,1,1,4","1,1,2,2","1,1,2,3","1,1,2,4","1,1,3,3","1,1,3,4","1,1,4,4","1,2,2,2","1,2,2,3","1,2,2,4","1,2,3,3","1,2,3,4","1,2,4,4","1,3,3,3","1,3,3,4","1,3,4,4","1,4,4,4","2,2,2,2","2,2,2,3","2,2,2,4","2,2,3,3","2,2,3,4","2,2,4,4","2,3,3,3","2,3,3,4","2,3,4,4","2,4,4,4","3,3,3,3","3,3,3,4","3,3,4,4","3,4,4,4","4,4,4,4") + +## 5 +#algoritmo "-A" c ("0,0,0,0,0","0,0,0,0,1","0,0,0,0,2","0,0,0,0,3","0,0,0,0,4","0,0,0,1,1","0,0,0,1,2","0,0,0,1,3","0,0,0,1,4","0,0,0,2,2","0,0,0,2,3","0,0,0,2,4","0,0,0,3,3","0,0,0,3,4","0,0,0,4,4","0,0,1,1,1","0,0,1,1,2","0,0,1,1,3","0,0,1,1,4","0,0,1,2,2","0,0,1,2,3","0,0,1,2,4","0,0,1,3,3","0,0,1,3,4","0,0,1,4,4","0,0,2,2,2","0,0,2,2,3","0,0,2,2,4","0,0,2,3,3","0,0,2,3,4","0,0,2,4,4","0,0,3,3,3","0,0,3,3,4","0,0,3,4,4","0,0,4,4,4","0,1,1,1,1","0,1,1,1,2","0,1,1,1,3","0,1,1,1,4","0,1,1,2,2","0,1,1,2,3","0,1,1,2,4","0,1,1,3,3","0,1,1,3,4","0,1,1,4,4","0,1,2,2,2","0,1,2,2,3","0,1,2,2,4","0,1,2,3,3","0,1,2,3,4","0,1,2,4,4","0,1,3,3,3","0,1,3,3,4","0,1,3,4,4","0,1,4,4,4","0,2,2,2,2","0,2,2,2,3","0,2,2,2,4","0,2,2,3,3","0,2,2,3,4","0,2,2,4,4","0,2,3,3,3","0,2,3,3,4","0,2,3,4,4","0,2,4,4,4","0,3,3,3,3","0,3,3,3,4","0,3,3,4,4","0,3,4,4,4","0,4,4,4,4","1,1,1,1,1","1,1,1,1,2","1,1,1,1,3","1,1,1,1,4","1,1,1,2,2","1,1,1,2,3","1,1,1,2,4","1,1,1,3,3","1,1,1,3,4","1,1,1,4,4","1,1,2,2,2","1,1,2,2,3","1,1,2,2,4","1,1,2,3,3","1,1,2,3,4","1,1,2,4,4","1,1,3,3,3","1,1,3,3,4","1,1,3,4,4","1,1,4,4,4","1,2,2,2,2","1,2,2,2,3","1,2,2,2,4","1,2,2,3,3","1,2,2,3,4","1,2,2,4,4","1,2,3,3,3","1,2,3,3,4","1,2,3,4,4","1,2,4,4,4","1,3,3,3,3","1,3,3,3,4","1,3,3,4,4","1,3,4,4,4","1,4,4,4,4","2,2,2,2,2","2,2,2,2,3","2,2,2,2,4","2,2,2,3,3","2,2,2,3,4","2,2,2,4,4","2,2,3,3,3","2,2,3,3,4","2,2,3,4,4","2,2,4,4,4","2,3,3,3,3","2,3,3,3,4","2,3,3,4,4","2,3,4,4,4","2,4,4,4,4","3,3,3,3,3","3,3,3,3,4","3,3,3,4,4","3,3,4,4,4","3,4,4,4,4","4,4,4,4,4") + +## 6 +#algoritmo "-A" c ("0,0,0,0,0,0","0,0,0,0,0,1","0,0,0,0,0,2","0,0,0,0,0,3","0,0,0,0,0,4","0,0,0,0,1,1","0,0,0,0,1,2","0,0,0,0,1,3","0,0,0,0,1,4","0,0,0,0,2,2","0,0,0,0,2,3","0,0,0,0,2,4","0,0,0,0,3,3","0,0,0,0,3,4","0,0,0,0,4,4","0,0,0,1,1,1","0,0,0,1,1,2","0,0,0,1,1,3","0,0,0,1,1,4","0,0,0,1,2,2","0,0,0,1,2,3","0,0,0,1,2,4","0,0,0,1,3,3","0,0,0,1,3,4","0,0,0,1,4,4","0,0,0,2,2,2","0,0,0,2,2,3","0,0,0,2,2,4","0,0,0,2,3,3","0,0,0,2,3,4","0,0,0,2,4,4","0,0,0,3,3,3","0,0,0,3,3,4","0,0,0,3,4,4","0,0,0,4,4,4","0,0,1,1,1,1","0,0,1,1,1,2","0,0,1,1,1,3","0,0,1,1,1,4","0,0,1,1,2,2","0,0,1,1,2,3","0,0,1,1,2,4","0,0,1,1,3,3","0,0,1,1,3,4","0,0,1,1,4,4","0,0,1,2,2,2","0,0,1,2,2,3","0,0,1,2,2,4","0,0,1,2,3,3","0,0,1,2,3,4","0,0,1,2,4,4","0,0,1,3,3,3","0,0,1,3,3,4","0,0,1,3,4,4","0,0,1,4,4,4","0,0,2,2,2,2","0,0,2,2,2,3","0,0,2,2,2,4","0,0,2,2,3,3","0,0,2,2,3,4","0,0,2,2,4,4","0,0,2,3,3,3","0,0,2,3,3,4","0,0,2,3,4,4","0,0,2,4,4,4","0,0,3,3,3,3","0,0,3,3,3,4","0,0,3,3,4,4","0,0,3,4,4,4","0,0,4,4,4,4","0,1,1,1,1,1","0,1,1,1,1,2","0,1,1,1,1,3","0,1,1,1,1,4","0,1,1,1,2,2","0,1,1,1,2,3","0,1,1,1,2,4","0,1,1,1,3,3","0,1,1,1,3,4","0,1,1,1,4,4","0,1,1,2,2,2","0,1,1,2,2,3","0,1,1,2,2,4","0,1,1,2,3,3","0,1,1,2,3,4","0,1,1,2,4,4","0,1,1,3,3,3","0,1,1,3,3,4","0,1,1,3,4,4","0,1,1,4,4,4","0,1,2,2,2,2","0,1,2,2,2,3","0,1,2,2,2,4","0,1,2,2,3,3","0,1,2,2,3,4","0,1,2,2,4,4","0,1,2,3,3,3","0,1,2,3,3,4","0,1,2,3,4,4","0,1,2,4,4,4","0,1,3,3,3,3","0,1,3,3,3,4","0,1,3,3,4,4","0,1,3,4,4,4","0,1,4,4,4,4","0,2,2,2,2,2","0,2,2,2,2,3","0,2,2,2,2,4","0,2,2,2,3,3","0,2,2,2,3,4","0,2,2,2,4,4","0,2,2,3,3,3","0,2,2,3,3,4","0,2,2,3,4,4","0,2,2,4,4,4","0,2,3,3,3,3","0,2,3,3,3,4","0,2,3,3,4,4","0,2,3,4,4,4","0,2,4,4,4,4","0,3,3,3,3,3","0,3,3,3,3,4","0,3,3,3,4,4","0,3,3,4,4,4","0,3,4,4,4,4","0,4,4,4,4,4","1,1,1,1,1,1","1,1,1,1,1,2","1,1,1,1,1,3","1,1,1,1,1,4","1,1,1,1,2,2","1,1,1,1,2,3","1,1,1,1,2,4","1,1,1,1,3,3","1,1,1,1,3,4","1,1,1,1,4,4","1,1,1,2,2,2","1,1,1,2,2,3","1,1,1,2,2,4","1,1,1,2,3,3","1,1,1,2,3,4","1,1,1,2,4,4","1,1,1,3,3,3","1,1,1,3,3,4","1,1,1,3,4,4","1,1,1,4,4,4","1,1,2,2,2,2","1,1,2,2,2,3","1,1,2,2,2,4","1,1,2,2,3,3","1,1,2,2,3,4","1,1,2,2,4,4","1,1,2,3,3,3","1,1,2,3,3,4","1,1,2,3,4,4","1,1,2,4,4,4","1,1,3,3,3,3","1,1,3,3,3,4","1,1,3,3,4,4","1,1,3,4,4,4","1,1,4,4,4,4","1,2,2,2,2,2","1,2,2,2,2,3","1,2,2,2,2,4","1,2,2,2,3,3","1,2,2,2,3,4","1,2,2,2,4,4","1,2,2,3,3,3","1,2,2,3,3,4","1,2,2,3,4,4","1,2,2,4,4,4","1,2,3,3,3,3","1,2,3,3,3,4","1,2,3,3,4,4","1,2,3,4,4,4","1,2,4,4,4,4","1,3,3,3,3,3","1,3,3,3,3,4","1,3,3,3,4,4","1,3,3,4,4,4","1,3,4,4,4,4","1,4,4,4,4,4","2,2,2,2,2,2","2,2,2,2,2,3","2,2,2,2,2,4","2,2,2,2,3,3","2,2,2,2,3,4","2,2,2,2,4,4","2,2,2,3,3,3","2,2,2,3,3,4","2,2,2,3,4,4","2,2,2,4,4,4","2,2,3,3,3,3","2,2,3,3,3,4","2,2,3,3,4,4","2,2,3,4,4,4","2,2,4,4,4,4","2,3,3,3,3,3","2,3,3,3,3,4","2,3,3,3,4,4","2,3,3,4,4,4","2,3,4,4,4,4","2,4,4,4,4,4","3,3,3,3,3,3","3,3,3,3,3,4","3,3,3,3,4,4","3,3,3,4,4,4","3,3,4,4,4,4","3,4,4,4,4,4","4,4,4,4,4,4") + +## 7 +#algoritmo "-A" c ("0,0,0,0,0,0,0","0,0,0,0,0,0,1","0,0,0,0,0,0,2","0,0,0,0,0,0,3","0,0,0,0,0,0,4","0,0,0,0,0,1,1","0,0,0,0,0,1,2","0,0,0,0,0,1,3","0,0,0,0,0,1,4","0,0,0,0,0,2,2","0,0,0,0,0,2,3","0,0,0,0,0,2,4","0,0,0,0,0,3,3","0,0,0,0,0,3,4","0,0,0,0,0,4,4","0,0,0,0,1,1,1","0,0,0,0,1,1,2","0,0,0,0,1,1,3","0,0,0,0,1,1,4","0,0,0,0,1,2,2","0,0,0,0,1,2,3","0,0,0,0,1,2,4","0,0,0,0,1,3,3","0,0,0,0,1,3,4","0,0,0,0,1,4,4","0,0,0,0,2,2,2","0,0,0,0,2,2,3","0,0,0,0,2,2,4","0,0,0,0,2,3,3","0,0,0,0,2,3,4","0,0,0,0,2,4,4","0,0,0,0,3,3,3","0,0,0,0,3,3,4","0,0,0,0,3,4,4","0,0,0,0,4,4,4","0,0,0,1,1,1,1","0,0,0,1,1,1,2","0,0,0,1,1,1,3","0,0,0,1,1,1,4","0,0,0,1,1,2,2","0,0,0,1,1,2,3","0,0,0,1,1,2,4","0,0,0,1,1,3,3","0,0,0,1,1,3,4","0,0,0,1,1,4,4","0,0,0,1,2,2,2","0,0,0,1,2,2,3","0,0,0,1,2,2,4","0,0,0,1,2,3,3","0,0,0,1,2,3,4","0,0,0,1,2,4,4","0,0,0,1,3,3,3","0,0,0,1,3,3,4","0,0,0,1,3,4,4","0,0,0,1,4,4,4","0,0,0,2,2,2,2","0,0,0,2,2,2,3","0,0,0,2,2,2,4","0,0,0,2,2,3,3","0,0,0,2,2,3,4","0,0,0,2,2,4,4","0,0,0,2,3,3,3","0,0,0,2,3,3,4","0,0,0,2,3,4,4","0,0,0,2,4,4,4","0,0,0,3,3,3,3","0,0,0,3,3,3,4","0,0,0,3,3,4,4","0,0,0,3,4,4,4","0,0,0,4,4,4,4","0,0,1,1,1,1,1","0,0,1,1,1,1,2","0,0,1,1,1,1,3","0,0,1,1,1,1,4","0,0,1,1,1,2,2","0,0,1,1,1,2,3","0,0,1,1,1,2,4","0,0,1,1,1,3,3","0,0,1,1,1,3,4","0,0,1,1,1,4,4","0,0,1,1,2,2,2","0,0,1,1,2,2,3","0,0,1,1,2,2,4","0,0,1,1,2,3,3","0,0,1,1,2,3,4","0,0,1,1,2,4,4","0,0,1,1,3,3,3","0,0,1,1,3,3,4","0,0,1,1,3,4,4","0,0,1,1,4,4,4","0,0,1,2,2,2,2","0,0,1,2,2,2,3","0,0,1,2,2,2,4","0,0,1,2,2,3,3","0,0,1,2,2,3,4","0,0,1,2,2,4,4","0,0,1,2,3,3,3","0,0,1,2,3,3,4","0,0,1,2,3,4,4","0,0,1,2,4,4,4","0,0,1,3,3,3,3","0,0,1,3,3,3,4","0,0,1,3,3,4,4","0,0,1,3,4,4,4","0,0,1,4,4,4,4","0,0,2,2,2,2,2","0,0,2,2,2,2,3","0,0,2,2,2,2,4","0,0,2,2,2,3,3","0,0,2,2,2,3,4","0,0,2,2,2,4,4","0,0,2,2,3,3,3","0,0,2,2,3,3,4","0,0,2,2,3,4,4","0,0,2,2,4,4,4","0,0,2,3,3,3,3","0,0,2,3,3,3,4","0,0,2,3,3,4,4","0,0,2,3,4,4,4","0,0,2,4,4,4,4","0,0,3,3,3,3,3","0,0,3,3,3,3,4","0,0,3,3,3,4,4","0,0,3,3,4,4,4","0,0,3,4,4,4,4","0,0,4,4,4,4,4","0,1,1,1,1,1,1","0,1,1,1,1,1,2","0,1,1,1,1,1,3","0,1,1,1,1,1,4","0,1,1,1,1,2,2","0,1,1,1,1,2,3","0,1,1,1,1,2,4","0,1,1,1,1,3,3","0,1,1,1,1,3,4","0,1,1,1,1,4,4","0,1,1,1,2,2,2","0,1,1,1,2,2,3","0,1,1,1,2,2,4","0,1,1,1,2,3,3","0,1,1,1,2,3,4","0,1,1,1,2,4,4","0,1,1,1,3,3,3","0,1,1,1,3,3,4","0,1,1,1,3,4,4","0,1,1,1,4,4,4","0,1,1,2,2,2,2","0,1,1,2,2,2,3","0,1,1,2,2,2,4","0,1,1,2,2,3,3","0,1,1,2,2,3,4","0,1,1,2,2,4,4","0,1,1,2,3,3,3","0,1,1,2,3,3,4","0,1,1,2,3,4,4","0,1,1,2,4,4,4","0,1,1,3,3,3,3","0,1,1,3,3,3,4","0,1,1,3,3,4,4","0,1,1,3,4,4,4","0,1,1,4,4,4,4","0,1,2,2,2,2,2","0,1,2,2,2,2,3","0,1,2,2,2,2,4","0,1,2,2,2,3,3","0,1,2,2,2,3,4","0,1,2,2,2,4,4","0,1,2,2,3,3,3","0,1,2,2,3,3,4","0,1,2,2,3,4,4","0,1,2,2,4,4,4","0,1,2,3,3,3,3","0,1,2,3,3,3,4","0,1,2,3,3,4,4","0,1,2,3,4,4,4","0,1,2,4,4,4,4","0,1,3,3,3,3,3","0,1,3,3,3,3,4","0,1,3,3,3,4,4","0,1,3,3,4,4,4","0,1,3,4,4,4,4","0,1,4,4,4,4,4","0,2,2,2,2,2,2","0,2,2,2,2,2,3","0,2,2,2,2,2,4","0,2,2,2,2,3,3","0,2,2,2,2,3,4","0,2,2,2,2,4,4","0,2,2,2,3,3,3","0,2,2,2,3,3,4","0,2,2,2,3,4,4","0,2,2,2,4,4,4","0,2,2,3,3,3,3","0,2,2,3,3,3,4","0,2,2,3,3,4,4","0,2,2,3,4,4,4","0,2,2,4,4,4,4","0,2,3,3,3,3,3","0,2,3,3,3,3,4","0,2,3,3,3,4,4","0,2,3,3,4,4,4","0,2,3,4,4,4,4","0,2,4,4,4,4,4","0,3,3,3,3,3,3","0,3,3,3,3,3,4","0,3,3,3,3,4,4","0,3,3,3,4,4,4","0,3,3,4,4,4,4","0,3,4,4,4,4,4","0,4,4,4,4,4,4","1,1,1,1,1,1,1","1,1,1,1,1,1,2","1,1,1,1,1,1,3","1,1,1,1,1,1,4","1,1,1,1,1,2,2","1,1,1,1,1,2,3","1,1,1,1,1,2,4","1,1,1,1,1,3,3","1,1,1,1,1,3,4","1,1,1,1,1,4,4","1,1,1,1,2,2,2","1,1,1,1,2,2,3","1,1,1,1,2,2,4","1,1,1,1,2,3,3","1,1,1,1,2,3,4","1,1,1,1,2,4,4","1,1,1,1,3,3,3","1,1,1,1,3,3,4","1,1,1,1,3,4,4","1,1,1,1,4,4,4","1,1,1,2,2,2,2","1,1,1,2,2,2,3","1,1,1,2,2,2,4","1,1,1,2,2,3,3","1,1,1,2,2,3,4","1,1,1,2,2,4,4","1,1,1,2,3,3,3","1,1,1,2,3,3,4","1,1,1,2,3,4,4","1,1,1,2,4,4,4","1,1,1,3,3,3,3","1,1,1,3,3,3,4","1,1,1,3,3,4,4","1,1,1,3,4,4,4","1,1,1,4,4,4,4","1,1,2,2,2,2,2","1,1,2,2,2,2,3","1,1,2,2,2,2,4","1,1,2,2,2,3,3","1,1,2,2,2,3,4","1,1,2,2,2,4,4","1,1,2,2,3,3,3","1,1,2,2,3,3,4","1,1,2,2,3,4,4","1,1,2,2,4,4,4","1,1,2,3,3,3,3","1,1,2,3,3,3,4","1,1,2,3,3,4,4","1,1,2,3,4,4,4","1,1,2,4,4,4,4","1,1,3,3,3,3,3","1,1,3,3,3,3,4","1,1,3,3,3,4,4","1,1,3,3,4,4,4","1,1,3,4,4,4,4","1,1,4,4,4,4,4","1,2,2,2,2,2,2","1,2,2,2,2,2,3","1,2,2,2,2,2,4","1,2,2,2,2,3,3","1,2,2,2,2,3,4","1,2,2,2,2,4,4","1,2,2,2,3,3,3","1,2,2,2,3,3,4","1,2,2,2,3,4,4","1,2,2,2,4,4,4","1,2,2,3,3,3,3","1,2,2,3,3,3,4","1,2,2,3,3,4,4","1,2,2,3,4,4,4","1,2,2,4,4,4,4","1,2,3,3,3,3,3","1,2,3,3,3,3,4","1,2,3,3,3,4,4","1,2,3,3,4,4,4","1,2,3,4,4,4,4","1,2,4,4,4,4,4","1,3,3,3,3,3,3","1,3,3,3,3,3,4","1,3,3,3,3,4,4","1,3,3,3,4,4,4","1,3,3,4,4,4,4","1,3,4,4,4,4,4","1,4,4,4,4,4,4","2,2,2,2,2,2,2","2,2,2,2,2,2,3","2,2,2,2,2,2,4","2,2,2,2,2,3,3","2,2,2,2,2,3,4","2,2,2,2,2,4,4","2,2,2,2,3,3,3","2,2,2,2,3,3,4","2,2,2,2,3,4,4","2,2,2,2,4,4,4","2,2,2,3,3,3,3","2,2,2,3,3,3,4","2,2,2,3,3,4,4","2,2,2,3,4,4,4","2,2,2,4,4,4,4","2,2,3,3,3,3,3","2,2,3,3,3,3,4","2,2,3,3,3,4,4","2,2,3,3,4,4,4","2,2,3,4,4,4,4","2,2,4,4,4,4,4","2,3,3,3,3,3,3","2,3,3,3,3,3,4","2,3,3,3,3,4,4","2,3,3,3,4,4,4","2,3,3,4,4,4,4","2,3,4,4,4,4,4","2,4,4,4,4,4,4","3,3,3,3,3,3,3","3,3,3,3,3,3,4","3,3,3,3,3,4,4","3,3,3,3,4,4,4","3,3,3,4,4,4,4","3,3,4,4,4,4,4","3,4,4,4,4,4,4","4,4,4,4,4,4,4") + +## 8 +#algoritmo "-A" c ("0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,4","0,0,0,0,0,0,1,1","0,0,0,0,0,0,1,2","0,0,0,0,0,0,1,3","0,0,0,0,0,0,1,4","0,0,0,0,0,0,2,2","0,0,0,0,0,0,2,3","0,0,0,0,0,0,2,4","0,0,0,0,0,0,3,3","0,0,0,0,0,0,3,4","0,0,0,0,0,0,4,4","0,0,0,0,0,1,1,1","0,0,0,0,0,1,1,2","0,0,0,0,0,1,1,3","0,0,0,0,0,1,1,4","0,0,0,0,0,1,2,2","0,0,0,0,0,1,2,3","0,0,0,0,0,1,2,4","0,0,0,0,0,1,3,3","0,0,0,0,0,1,3,4","0,0,0,0,0,1,4,4","0,0,0,0,0,2,2,2","0,0,0,0,0,2,2,3","0,0,0,0,0,2,2,4","0,0,0,0,0,2,3,3","0,0,0,0,0,2,3,4","0,0,0,0,0,2,4,4","0,0,0,0,0,3,3,3","0,0,0,0,0,3,3,4","0,0,0,0,0,3,4,4","0,0,0,0,0,4,4,4","0,0,0,0,1,1,1,1","0,0,0,0,1,1,1,2","0,0,0,0,1,1,1,3","0,0,0,0,1,1,1,4","0,0,0,0,1,1,2,2","0,0,0,0,1,1,2,3","0,0,0,0,1,1,2,4","0,0,0,0,1,1,3,3","0,0,0,0,1,1,3,4","0,0,0,0,1,1,4,4","0,0,0,0,1,2,2,2","0,0,0,0,1,2,2,3","0,0,0,0,1,2,2,4","0,0,0,0,1,2,3,3","0,0,0,0,1,2,3,4","0,0,0,0,1,2,4,4","0,0,0,0,1,3,3,3","0,0,0,0,1,3,3,4","0,0,0,0,1,3,4,4","0,0,0,0,1,4,4,4","0,0,0,0,2,2,2,2","0,0,0,0,2,2,2,3","0,0,0,0,2,2,2,4","0,0,0,0,2,2,3,3","0,0,0,0,2,2,3,4","0,0,0,0,2,2,4,4","0,0,0,0,2,3,3,3","0,0,0,0,2,3,3,4","0,0,0,0,2,3,4,4","0,0,0,0,2,4,4,4","0,0,0,0,3,3,3,3","0,0,0,0,3,3,3,4","0,0,0,0,3,3,4,4","0,0,0,0,3,4,4,4","0,0,0,0,4,4,4,4","0,0,0,1,1,1,1,1","0,0,0,1,1,1,1,2","0,0,0,1,1,1,1,3","0,0,0,1,1,1,1,4","0,0,0,1,1,1,2,2","0,0,0,1,1,1,2,3","0,0,0,1,1,1,2,4","0,0,0,1,1,1,3,3","0,0,0,1,1,1,3,4","0,0,0,1,1,1,4,4","0,0,0,1,1,2,2,2","0,0,0,1,1,2,2,3","0,0,0,1,1,2,2,4","0,0,0,1,1,2,3,3","0,0,0,1,1,2,3,4","0,0,0,1,1,2,4,4","0,0,0,1,1,3,3,3","0,0,0,1,1,3,3,4","0,0,0,1,1,3,4,4","0,0,0,1,1,4,4,4","0,0,0,1,2,2,2,2","0,0,0,1,2,2,2,3","0,0,0,1,2,2,2,4","0,0,0,1,2,2,3,3","0,0,0,1,2,2,3,4","0,0,0,1,2,2,4,4","0,0,0,1,2,3,3,3","0,0,0,1,2,3,3,4","0,0,0,1,2,3,4,4","0,0,0,1,2,4,4,4","0,0,0,1,3,3,3,3","0,0,0,1,3,3,3,4","0,0,0,1,3,3,4,4","0,0,0,1,3,4,4,4","0,0,0,1,4,4,4,4","0,0,0,2,2,2,2,2","0,0,0,2,2,2,2,3","0,0,0,2,2,2,2,4","0,0,0,2,2,2,3,3","0,0,0,2,2,2,3,4","0,0,0,2,2,2,4,4","0,0,0,2,2,3,3,3","0,0,0,2,2,3,3,4","0,0,0,2,2,3,4,4","0,0,0,2,2,4,4,4","0,0,0,2,3,3,3,3","0,0,0,2,3,3,3,4","0,0,0,2,3,3,4,4","0,0,0,2,3,4,4,4","0,0,0,2,4,4,4,4","0,0,0,3,3,3,3,3","0,0,0,3,3,3,3,4","0,0,0,3,3,3,4,4","0,0,0,3,3,4,4,4","0,0,0,3,4,4,4,4","0,0,0,4,4,4,4,4","0,0,1,1,1,1,1,1","0,0,1,1,1,1,1,2","0,0,1,1,1,1,1,3","0,0,1,1,1,1,1,4","0,0,1,1,1,1,2,2","0,0,1,1,1,1,2,3","0,0,1,1,1,1,2,4","0,0,1,1,1,1,3,3","0,0,1,1,1,1,3,4","0,0,1,1,1,1,4,4","0,0,1,1,1,2,2,2","0,0,1,1,1,2,2,3","0,0,1,1,1,2,2,4","0,0,1,1,1,2,3,3","0,0,1,1,1,2,3,4","0,0,1,1,1,2,4,4","0,0,1,1,1,3,3,3","0,0,1,1,1,3,3,4","0,0,1,1,1,3,4,4","0,0,1,1,1,4,4,4","0,0,1,1,2,2,2,2","0,0,1,1,2,2,2,3","0,0,1,1,2,2,2,4","0,0,1,1,2,2,3,3","0,0,1,1,2,2,3,4","0,0,1,1,2,2,4,4","0,0,1,1,2,3,3,3","0,0,1,1,2,3,3,4","0,0,1,1,2,3,4,4","0,0,1,1,2,4,4,4","0,0,1,1,3,3,3,3","0,0,1,1,3,3,3,4","0,0,1,1,3,3,4,4","0,0,1,1,3,4,4,4","0,0,1,1,4,4,4,4","0,0,1,2,2,2,2,2","0,0,1,2,2,2,2,3","0,0,1,2,2,2,2,4","0,0,1,2,2,2,3,3","0,0,1,2,2,2,3,4","0,0,1,2,2,2,4,4","0,0,1,2,2,3,3,3","0,0,1,2,2,3,3,4","0,0,1,2,2,3,4,4","0,0,1,2,2,4,4,4","0,0,1,2,3,3,3,3","0,0,1,2,3,3,3,4","0,0,1,2,3,3,4,4","0,0,1,2,3,4,4,4","0,0,1,2,4,4,4,4","0,0,1,3,3,3,3,3","0,0,1,3,3,3,3,4","0,0,1,3,3,3,4,4","0,0,1,3,3,4,4,4","0,0,1,3,4,4,4,4","0,0,1,4,4,4,4,4","0,0,2,2,2,2,2,2","0,0,2,2,2,2,2,3","0,0,2,2,2,2,2,4","0,0,2,2,2,2,3,3","0,0,2,2,2,2,3,4","0,0,2,2,2,2,4,4","0,0,2,2,2,3,3,3","0,0,2,2,2,3,3,4","0,0,2,2,2,3,4,4","0,0,2,2,2,4,4,4","0,0,2,2,3,3,3,3","0,0,2,2,3,3,3,4","0,0,2,2,3,3,4,4","0,0,2,2,3,4,4,4","0,0,2,2,4,4,4,4","0,0,2,3,3,3,3,3","0,0,2,3,3,3,3,4","0,0,2,3,3,3,4,4","0,0,2,3,3,4,4,4","0,0,2,3,4,4,4,4","0,0,2,4,4,4,4,4","0,0,3,3,3,3,3,3","0,0,3,3,3,3,3,4","0,0,3,3,3,3,4,4","0,0,3,3,3,4,4,4","0,0,3,3,4,4,4,4","0,0,3,4,4,4,4,4","0,0,4,4,4,4,4,4","0,1,1,1,1,1,1,1","0,1,1,1,1,1,1,2","0,1,1,1,1,1,1,3","0,1,1,1,1,1,1,4","0,1,1,1,1,1,2,2","0,1,1,1,1,1,2,3","0,1,1,1,1,1,2,4","0,1,1,1,1,1,3,3","0,1,1,1,1,1,3,4","0,1,1,1,1,1,4,4","0,1,1,1,1,2,2,2","0,1,1,1,1,2,2,3","0,1,1,1,1,2,2,4","0,1,1,1,1,2,3,3","0,1,1,1,1,2,3,4","0,1,1,1,1,2,4,4","0,1,1,1,1,3,3,3","0,1,1,1,1,3,3,4","0,1,1,1,1,3,4,4","0,1,1,1,1,4,4,4","0,1,1,1,2,2,2,2","0,1,1,1,2,2,2,3","0,1,1,1,2,2,2,4","0,1,1,1,2,2,3,3","0,1,1,1,2,2,3,4","0,1,1,1,2,2,4,4","0,1,1,1,2,3,3,3","0,1,1,1,2,3,3,4","0,1,1,1,2,3,4,4","0,1,1,1,2,4,4,4","0,1,1,1,3,3,3,3","0,1,1,1,3,3,3,4","0,1,1,1,3,3,4,4","0,1,1,1,3,4,4,4","0,1,1,1,4,4,4,4","0,1,1,2,2,2,2,2","0,1,1,2,2,2,2,3","0,1,1,2,2,2,2,4","0,1,1,2,2,2,3,3","0,1,1,2,2,2,3,4","0,1,1,2,2,2,4,4","0,1,1,2,2,3,3,3","0,1,1,2,2,3,3,4","0,1,1,2,2,3,4,4","0,1,1,2,2,4,4,4","0,1,1,2,3,3,3,3","0,1,1,2,3,3,3,4","0,1,1,2,3,3,4,4","0,1,1,2,3,4,4,4","0,1,1,2,4,4,4,4","0,1,1,3,3,3,3,3","0,1,1,3,3,3,3,4","0,1,1,3,3,3,4,4","0,1,1,3,3,4,4,4","0,1,1,3,4,4,4,4","0,1,1,4,4,4,4,4","0,1,2,2,2,2,2,2","0,1,2,2,2,2,2,3","0,1,2,2,2,2,2,4","0,1,2,2,2,2,3,3","0,1,2,2,2,2,3,4","0,1,2,2,2,2,4,4","0,1,2,2,2,3,3,3","0,1,2,2,2,3,3,4","0,1,2,2,2,3,4,4","0,1,2,2,2,4,4,4","0,1,2,2,3,3,3,3","0,1,2,2,3,3,3,4","0,1,2,2,3,3,4,4","0,1,2,2,3,4,4,4","0,1,2,2,4,4,4,4","0,1,2,3,3,3,3,3","0,1,2,3,3,3,3,4","0,1,2,3,3,3,4,4","0,1,2,3,3,4,4,4","0,1,2,3,4,4,4,4","0,1,2,4,4,4,4,4","0,1,3,3,3,3,3,3","0,1,3,3,3,3,3,4","0,1,3,3,3,3,4,4","0,1,3,3,3,4,4,4","0,1,3,3,4,4,4,4","0,1,3,4,4,4,4,4","0,1,4,4,4,4,4,4","0,2,2,2,2,2,2,2","0,2,2,2,2,2,2,3","0,2,2,2,2,2,2,4","0,2,2,2,2,2,3,3","0,2,2,2,2,2,3,4","0,2,2,2,2,2,4,4","0,2,2,2,2,3,3,3","0,2,2,2,2,3,3,4","0,2,2,2,2,3,4,4","0,2,2,2,2,4,4,4","0,2,2,2,3,3,3,3","0,2,2,2,3,3,3,4","0,2,2,2,3,3,4,4","0,2,2,2,3,4,4,4","0,2,2,2,4,4,4,4","0,2,2,3,3,3,3,3","0,2,2,3,3,3,3,4","0,2,2,3,3,3,4,4","0,2,2,3,3,4,4,4","0,2,2,3,4,4,4,4","0,2,2,4,4,4,4,4","0,2,3,3,3,3,3,3","0,2,3,3,3,3,3,4","0,2,3,3,3,3,4,4","0,2,3,3,3,4,4,4","0,2,3,3,4,4,4,4","0,2,3,4,4,4,4,4","0,2,4,4,4,4,4,4","0,3,3,3,3,3,3,3","0,3,3,3,3,3,3,4","0,3,3,3,3,3,4,4","0,3,3,3,3,4,4,4","0,3,3,3,4,4,4,4","0,3,3,4,4,4,4,4","0,3,4,4,4,4,4,4","0,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,4","1,1,1,1,1,1,2,2","1,1,1,1,1,1,2,3","1,1,1,1,1,1,2,4","1,1,1,1,1,1,3,3","1,1,1,1,1,1,3,4","1,1,1,1,1,1,4,4","1,1,1,1,1,2,2,2","1,1,1,1,1,2,2,3","1,1,1,1,1,2,2,4","1,1,1,1,1,2,3,3","1,1,1,1,1,2,3,4","1,1,1,1,1,2,4,4","1,1,1,1,1,3,3,3","1,1,1,1,1,3,3,4","1,1,1,1,1,3,4,4","1,1,1,1,1,4,4,4","1,1,1,1,2,2,2,2","1,1,1,1,2,2,2,3","1,1,1,1,2,2,2,4","1,1,1,1,2,2,3,3","1,1,1,1,2,2,3,4","1,1,1,1,2,2,4,4","1,1,1,1,2,3,3,3","1,1,1,1,2,3,3,4","1,1,1,1,2,3,4,4","1,1,1,1,2,4,4,4","1,1,1,1,3,3,3,3","1,1,1,1,3,3,3,4","1,1,1,1,3,3,4,4","1,1,1,1,3,4,4,4","1,1,1,1,4,4,4,4","1,1,1,2,2,2,2,2","1,1,1,2,2,2,2,3","1,1,1,2,2,2,2,4","1,1,1,2,2,2,3,3","1,1,1,2,2,2,3,4","1,1,1,2,2,2,4,4","1,1,1,2,2,3,3,3","1,1,1,2,2,3,3,4","1,1,1,2,2,3,4,4","1,1,1,2,2,4,4,4","1,1,1,2,3,3,3,3","1,1,1,2,3,3,3,4","1,1,1,2,3,3,4,4","1,1,1,2,3,4,4,4","1,1,1,2,4,4,4,4","1,1,1,3,3,3,3,3","1,1,1,3,3,3,3,4","1,1,1,3,3,3,4,4","1,1,1,3,3,4,4,4","1,1,1,3,4,4,4,4","1,1,1,4,4,4,4,4","1,1,2,2,2,2,2,2","1,1,2,2,2,2,2,3","1,1,2,2,2,2,2,4","1,1,2,2,2,2,3,3","1,1,2,2,2,2,3,4","1,1,2,2,2,2,4,4","1,1,2,2,2,3,3,3","1,1,2,2,2,3,3,4","1,1,2,2,2,3,4,4","1,1,2,2,2,4,4,4","1,1,2,2,3,3,3,3","1,1,2,2,3,3,3,4","1,1,2,2,3,3,4,4","1,1,2,2,3,4,4,4","1,1,2,2,4,4,4,4","1,1,2,3,3,3,3,3","1,1,2,3,3,3,3,4","1,1,2,3,3,3,4,4","1,1,2,3,3,4,4,4","1,1,2,3,4,4,4,4","1,1,2,4,4,4,4,4","1,1,3,3,3,3,3,3","1,1,3,3,3,3,3,4","1,1,3,3,3,3,4,4","1,1,3,3,3,4,4,4","1,1,3,3,4,4,4,4","1,1,3,4,4,4,4,4","1,1,4,4,4,4,4,4","1,2,2,2,2,2,2,2","1,2,2,2,2,2,2,3","1,2,2,2,2,2,2,4","1,2,2,2,2,2,3,3","1,2,2,2,2,2,3,4","1,2,2,2,2,2,4,4","1,2,2,2,2,3,3,3","1,2,2,2,2,3,3,4","1,2,2,2,2,3,4,4","1,2,2,2,2,4,4,4","1,2,2,2,3,3,3,3","1,2,2,2,3,3,3,4","1,2,2,2,3,3,4,4","1,2,2,2,3,4,4,4","1,2,2,2,4,4,4,4","1,2,2,3,3,3,3,3","1,2,2,3,3,3,3,4","1,2,2,3,3,3,4,4","1,2,2,3,3,4,4,4","1,2,2,3,4,4,4,4","1,2,2,4,4,4,4,4","1,2,3,3,3,3,3,3","1,2,3,3,3,3,3,4","1,2,3,3,3,3,4,4","1,2,3,3,3,4,4,4","1,2,3,3,4,4,4,4","1,2,3,4,4,4,4,4","1,2,4,4,4,4,4,4","1,3,3,3,3,3,3,3","1,3,3,3,3,3,3,4","1,3,3,3,3,3,4,4","1,3,3,3,3,4,4,4","1,3,3,3,4,4,4,4","1,3,3,4,4,4,4,4","1,3,4,4,4,4,4,4","1,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,4","2,2,2,2,2,2,3,3","2,2,2,2,2,2,3,4","2,2,2,2,2,2,4,4","2,2,2,2,2,3,3,3","2,2,2,2,2,3,3,4","2,2,2,2,2,3,4,4","2,2,2,2,2,4,4,4","2,2,2,2,3,3,3,3","2,2,2,2,3,3,3,4","2,2,2,2,3,3,4,4","2,2,2,2,3,4,4,4","2,2,2,2,4,4,4,4","2,2,2,3,3,3,3,3","2,2,2,3,3,3,3,4","2,2,2,3,3,3,4,4","2,2,2,3,3,4,4,4","2,2,2,3,4,4,4,4","2,2,2,4,4,4,4,4","2,2,3,3,3,3,3,3","2,2,3,3,3,3,3,4","2,2,3,3,3,3,4,4","2,2,3,3,3,4,4,4","2,2,3,3,4,4,4,4","2,2,3,4,4,4,4,4","2,2,4,4,4,4,4,4","2,3,3,3,3,3,3,3","2,3,3,3,3,3,3,4","2,3,3,3,3,3,4,4","2,3,3,3,3,4,4,4","2,3,3,3,4,4,4,4","2,3,3,4,4,4,4,4","2,3,4,4,4,4,4,4","2,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,4","3,3,3,3,3,3,4,4","3,3,3,3,3,4,4,4","3,3,3,3,4,4,4,4","3,3,3,4,4,4,4,4","3,3,4,4,4,4,4,4","3,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4") + +## 9 +#algoritmo "-A" c ("0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,4,4,4","0,0,0,0,0,1,1,1,1","0,0,0,0,0,1,1,1,2","0,0,0,0,0,1,1,1,3","0,0,0,0,0,1,1,1,4","0,0,0,0,0,1,1,2,2","0,0,0,0,0,1,1,2,3","0,0,0,0,0,1,1,2,4","0,0,0,0,0,1,1,3,3","0,0,0,0,0,1,1,3,4","0,0,0,0,0,1,1,4,4","0,0,0,0,0,1,2,2,2","0,0,0,0,0,1,2,2,3","0,0,0,0,0,1,2,2,4","0,0,0,0,0,1,2,3,3","0,0,0,0,0,1,2,3,4","0,0,0,0,0,1,2,4,4","0,0,0,0,0,1,3,3,3","0,0,0,0,0,1,3,3,4","0,0,0,0,0,1,3,4,4","0,0,0,0,0,1,4,4,4","0,0,0,0,0,2,2,2,2","0,0,0,0,0,2,2,2,3","0,0,0,0,0,2,2,2,4","0,0,0,0,0,2,2,3,3","0,0,0,0,0,2,2,3,4","0,0,0,0,0,2,2,4,4","0,0,0,0,0,2,3,3,3","0,0,0,0,0,2,3,3,4","0,0,0,0,0,2,3,4,4","0,0,0,0,0,2,4,4,4","0,0,0,0,0,3,3,3,3","0,0,0,0,0,3,3,3,4","0,0,0,0,0,3,3,4,4","0,0,0,0,0,3,4,4,4","0,0,0,0,0,4,4,4,4","0,0,0,0,1,1,1,1,1","0,0,0,0,1,1,1,1,2","0,0,0,0,1,1,1,1,3","0,0,0,0,1,1,1,1,4","0,0,0,0,1,1,1,2,2","0,0,0,0,1,1,1,2,3","0,0,0,0,1,1,1,2,4","0,0,0,0,1,1,1,3,3","0,0,0,0,1,1,1,3,4","0,0,0,0,1,1,1,4,4","0,0,0,0,1,1,2,2,2","0,0,0,0,1,1,2,2,3","0,0,0,0,1,1,2,2,4","0,0,0,0,1,1,2,3,3","0,0,0,0,1,1,2,3,4","0,0,0,0,1,1,2,4,4","0,0,0,0,1,1,3,3,3","0,0,0,0,1,1,3,3,4","0,0,0,0,1,1,3,4,4","0,0,0,0,1,1,4,4,4","0,0,0,0,1,2,2,2,2","0,0,0,0,1,2,2,2,3","0,0,0,0,1,2,2,2,4","0,0,0,0,1,2,2,3,3","0,0,0,0,1,2,2,3,4","0,0,0,0,1,2,2,4,4","0,0,0,0,1,2,3,3,3","0,0,0,0,1,2,3,3,4","0,0,0,0,1,2,3,4,4","0,0,0,0,1,2,4,4,4","0,0,0,0,1,3,3,3,3","0,0,0,0,1,3,3,3,4","0,0,0,0,1,3,3,4,4","0,0,0,0,1,3,4,4,4","0,0,0,0,1,4,4,4,4","0,0,0,0,2,2,2,2,2","0,0,0,0,2,2,2,2,3","0,0,0,0,2,2,2,2,4","0,0,0,0,2,2,2,3,3","0,0,0,0,2,2,2,3,4","0,0,0,0,2,2,2,4,4","0,0,0,0,2,2,3,3,3","0,0,0,0,2,2,3,3,4","0,0,0,0,2,2,3,4,4","0,0,0,0,2,2,4,4,4","0,0,0,0,2,3,3,3,3","0,0,0,0,2,3,3,3,4","0,0,0,0,2,3,3,4,4","0,0,0,0,2,3,4,4,4","0,0,0,0,2,4,4,4,4","0,0,0,0,3,3,3,3,3","0,0,0,0,3,3,3,3,4","0,0,0,0,3,3,3,4,4","0,0,0,0,3,3,4,4,4","0,0,0,0,3,4,4,4,4","0,0,0,0,4,4,4,4,4","0,0,0,1,1,1,1,1,1","0,0,0,1,1,1,1,1,2","0,0,0,1,1,1,1,1,3","0,0,0,1,1,1,1,1,4","0,0,0,1,1,1,1,2,2","0,0,0,1,1,1,1,2,3","0,0,0,1,1,1,1,2,4","0,0,0,1,1,1,1,3,3","0,0,0,1,1,1,1,3,4","0,0,0,1,1,1,1,4,4","0,0,0,1,1,1,2,2,2","0,0,0,1,1,1,2,2,3","0,0,0,1,1,1,2,2,4","0,0,0,1,1,1,2,3,3","0,0,0,1,1,1,2,3,4","0,0,0,1,1,1,2,4,4","0,0,0,1,1,1,3,3,3","0,0,0,1,1,1,3,3,4","0,0,0,1,1,1,3,4,4","0,0,0,1,1,1,4,4,4","0,0,0,1,1,2,2,2,2","0,0,0,1,1,2,2,2,3","0,0,0,1,1,2,2,2,4","0,0,0,1,1,2,2,3,3","0,0,0,1,1,2,2,3,4","0,0,0,1,1,2,2,4,4","0,0,0,1,1,2,3,3,3","0,0,0,1,1,2,3,3,4","0,0,0,1,1,2,3,4,4","0,0,0,1,1,2,4,4,4","0,0,0,1,1,3,3,3,3","0,0,0,1,1,3,3,3,4","0,0,0,1,1,3,3,4,4","0,0,0,1,1,3,4,4,4","0,0,0,1,1,4,4,4,4","0,0,0,1,2,2,2,2,2","0,0,0,1,2,2,2,2,3","0,0,0,1,2,2,2,2,4","0,0,0,1,2,2,2,3,3","0,0,0,1,2,2,2,3,4","0,0,0,1,2,2,2,4,4","0,0,0,1,2,2,3,3,3","0,0,0,1,2,2,3,3,4","0,0,0,1,2,2,3,4,4","0,0,0,1,2,2,4,4,4","0,0,0,1,2,3,3,3,3","0,0,0,1,2,3,3,3,4","0,0,0,1,2,3,3,4,4","0,0,0,1,2,3,4,4,4","0,0,0,1,2,4,4,4,4","0,0,0,1,3,3,3,3,3","0,0,0,1,3,3,3,3,4","0,0,0,1,3,3,3,4,4","0,0,0,1,3,3,4,4,4","0,0,0,1,3,4,4,4,4","0,0,0,1,4,4,4,4,4","0,0,0,2,2,2,2,2,2","0,0,0,2,2,2,2,2,3","0,0,0,2,2,2,2,2,4","0,0,0,2,2,2,2,3,3","0,0,0,2,2,2,2,3,4","0,0,0,2,2,2,2,4,4","0,0,0,2,2,2,3,3,3","0,0,0,2,2,2,3,3,4","0,0,0,2,2,2,3,4,4","0,0,0,2,2,2,4,4,4","0,0,0,2,2,3,3,3,3","0,0,0,2,2,3,3,3,4","0,0,0,2,2,3,3,4,4","0,0,0,2,2,3,4,4,4","0,0,0,2,2,4,4,4,4","0,0,0,2,3,3,3,3,3","0,0,0,2,3,3,3,3,4","0,0,0,2,3,3,3,4,4","0,0,0,2,3,3,4,4,4","0,0,0,2,3,4,4,4,4","0,0,0,2,4,4,4,4,4","0,0,0,3,3,3,3,3,3","0,0,0,3,3,3,3,3,4","0,0,0,3,3,3,3,4,4","0,0,0,3,3,3,4,4,4","0,0,0,3,3,4,4,4,4","0,0,0,3,4,4,4,4,4","0,0,0,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,4","0,0,1,1,1,1,1,2,2","0,0,1,1,1,1,1,2,3","0,0,1,1,1,1,1,2,4","0,0,1,1,1,1,1,3,3","0,0,1,1,1,1,1,3,4","0,0,1,1,1,1,1,4,4","0,0,1,1,1,1,2,2,2","0,0,1,1,1,1,2,2,3","0,0,1,1,1,1,2,2,4","0,0,1,1,1,1,2,3,3","0,0,1,1,1,1,2,3,4","0,0,1,1,1,1,2,4,4","0,0,1,1,1,1,3,3,3","0,0,1,1,1,1,3,3,4","0,0,1,1,1,1,3,4,4","0,0,1,1,1,1,4,4,4","0,0,1,1,1,2,2,2,2","0,0,1,1,1,2,2,2,3","0,0,1,1,1,2,2,2,4","0,0,1,1,1,2,2,3,3","0,0,1,1,1,2,2,3,4","0,0,1,1,1,2,2,4,4","0,0,1,1,1,2,3,3,3","0,0,1,1,1,2,3,3,4","0,0,1,1,1,2,3,4,4","0,0,1,1,1,2,4,4,4","0,0,1,1,1,3,3,3,3","0,0,1,1,1,3,3,3,4","0,0,1,1,1,3,3,4,4","0,0,1,1,1,3,4,4,4","0,0,1,1,1,4,4,4,4","0,0,1,1,2,2,2,2,2","0,0,1,1,2,2,2,2,3","0,0,1,1,2,2,2,2,4","0,0,1,1,2,2,2,3,3","0,0,1,1,2,2,2,3,4","0,0,1,1,2,2,2,4,4","0,0,1,1,2,2,3,3,3","0,0,1,1,2,2,3,3,4","0,0,1,1,2,2,3,4,4","0,0,1,1,2,2,4,4,4","0,0,1,1,2,3,3,3,3","0,0,1,1,2,3,3,3,4","0,0,1,1,2,3,3,4,4","0,0,1,1,2,3,4,4,4","0,0,1,1,2,4,4,4,4","0,0,1,1,3,3,3,3,3","0,0,1,1,3,3,3,3,4","0,0,1,1,3,3,3,4,4","0,0,1,1,3,3,4,4,4","0,0,1,1,3,4,4,4,4","0,0,1,1,4,4,4,4,4","0,0,1,2,2,2,2,2,2","0,0,1,2,2,2,2,2,3","0,0,1,2,2,2,2,2,4","0,0,1,2,2,2,2,3,3","0,0,1,2,2,2,2,3,4","0,0,1,2,2,2,2,4,4","0,0,1,2,2,2,3,3,3","0,0,1,2,2,2,3,3,4","0,0,1,2,2,2,3,4,4","0,0,1,2,2,2,4,4,4","0,0,1,2,2,3,3,3,3","0,0,1,2,2,3,3,3,4","0,0,1,2,2,3,3,4,4","0,0,1,2,2,3,4,4,4","0,0,1,2,2,4,4,4,4","0,0,1,2,3,3,3,3,3","0,0,1,2,3,3,3,3,4","0,0,1,2,3,3,3,4,4","0,0,1,2,3,3,4,4,4","0,0,1,2,3,4,4,4,4","0,0,1,2,4,4,4,4,4","0,0,1,3,3,3,3,3,3","0,0,1,3,3,3,3,3,4","0,0,1,3,3,3,3,4,4","0,0,1,3,3,3,4,4,4","0,0,1,3,3,4,4,4,4","0,0,1,3,4,4,4,4,4","0,0,1,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,4","0,0,2,2,2,2,2,3,3","0,0,2,2,2,2,2,3,4","0,0,2,2,2,2,2,4,4","0,0,2,2,2,2,3,3,3","0,0,2,2,2,2,3,3,4","0,0,2,2,2,2,3,4,4","0,0,2,2,2,2,4,4,4","0,0,2,2,2,3,3,3,3","0,0,2,2,2,3,3,3,4","0,0,2,2,2,3,3,4,4","0,0,2,2,2,3,4,4,4","0,0,2,2,2,4,4,4,4","0,0,2,2,3,3,3,3,3","0,0,2,2,3,3,3,3,4","0,0,2,2,3,3,3,4,4","0,0,2,2,3,3,4,4,4","0,0,2,2,3,4,4,4,4","0,0,2,2,4,4,4,4,4","0,0,2,3,3,3,3,3,3","0,0,2,3,3,3,3,3,4","0,0,2,3,3,3,3,4,4","0,0,2,3,3,3,4,4,4","0,0,2,3,3,4,4,4,4","0,0,2,3,4,4,4,4,4","0,0,2,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,4","0,0,3,3,3,3,3,4,4","0,0,3,3,3,3,4,4,4","0,0,3,3,3,4,4,4,4","0,0,3,3,4,4,4,4,4","0,0,3,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,4,4","0,1,1,1,1,1,2,2,2","0,1,1,1,1,1,2,2,3","0,1,1,1,1,1,2,2,4","0,1,1,1,1,1,2,3,3","0,1,1,1,1,1,2,3,4","0,1,1,1,1,1,2,4,4","0,1,1,1,1,1,3,3,3","0,1,1,1,1,1,3,3,4","0,1,1,1,1,1,3,4,4","0,1,1,1,1,1,4,4,4","0,1,1,1,1,2,2,2,2","0,1,1,1,1,2,2,2,3","0,1,1,1,1,2,2,2,4","0,1,1,1,1,2,2,3,3","0,1,1,1,1,2,2,3,4","0,1,1,1,1,2,2,4,4","0,1,1,1,1,2,3,3,3","0,1,1,1,1,2,3,3,4","0,1,1,1,1,2,3,4,4","0,1,1,1,1,2,4,4,4","0,1,1,1,1,3,3,3,3","0,1,1,1,1,3,3,3,4","0,1,1,1,1,3,3,4,4","0,1,1,1,1,3,4,4,4","0,1,1,1,1,4,4,4,4","0,1,1,1,2,2,2,2,2","0,1,1,1,2,2,2,2,3","0,1,1,1,2,2,2,2,4","0,1,1,1,2,2,2,3,3","0,1,1,1,2,2,2,3,4","0,1,1,1,2,2,2,4,4","0,1,1,1,2,2,3,3,3","0,1,1,1,2,2,3,3,4","0,1,1,1,2,2,3,4,4","0,1,1,1,2,2,4,4,4","0,1,1,1,2,3,3,3,3","0,1,1,1,2,3,3,3,4","0,1,1,1,2,3,3,4,4","0,1,1,1,2,3,4,4,4","0,1,1,1,2,4,4,4,4","0,1,1,1,3,3,3,3,3","0,1,1,1,3,3,3,3,4","0,1,1,1,3,3,3,4,4","0,1,1,1,3,3,4,4,4","0,1,1,1,3,4,4,4,4","0,1,1,1,4,4,4,4,4","0,1,1,2,2,2,2,2,2","0,1,1,2,2,2,2,2,3","0,1,1,2,2,2,2,2,4","0,1,1,2,2,2,2,3,3","0,1,1,2,2,2,2,3,4","0,1,1,2,2,2,2,4,4","0,1,1,2,2,2,3,3,3","0,1,1,2,2,2,3,3,4","0,1,1,2,2,2,3,4,4","0,1,1,2,2,2,4,4,4","0,1,1,2,2,3,3,3,3","0,1,1,2,2,3,3,3,4","0,1,1,2,2,3,3,4,4","0,1,1,2,2,3,4,4,4","0,1,1,2,2,4,4,4,4","0,1,1,2,3,3,3,3,3","0,1,1,2,3,3,3,3,4","0,1,1,2,3,3,3,4,4","0,1,1,2,3,3,4,4,4","0,1,1,2,3,4,4,4,4","0,1,1,2,4,4,4,4,4","0,1,1,3,3,3,3,3,3","0,1,1,3,3,3,3,3,4","0,1,1,3,3,3,3,4,4","0,1,1,3,3,3,4,4,4","0,1,1,3,3,4,4,4,4","0,1,1,3,4,4,4,4,4","0,1,1,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,4","0,1,2,2,2,2,2,3,3","0,1,2,2,2,2,2,3,4","0,1,2,2,2,2,2,4,4","0,1,2,2,2,2,3,3,3","0,1,2,2,2,2,3,3,4","0,1,2,2,2,2,3,4,4","0,1,2,2,2,2,4,4,4","0,1,2,2,2,3,3,3,3","0,1,2,2,2,3,3,3,4","0,1,2,2,2,3,3,4,4","0,1,2,2,2,3,4,4,4","0,1,2,2,2,4,4,4,4","0,1,2,2,3,3,3,3,3","0,1,2,2,3,3,3,3,4","0,1,2,2,3,3,3,4,4","0,1,2,2,3,3,4,4,4","0,1,2,2,3,4,4,4,4","0,1,2,2,4,4,4,4,4","0,1,2,3,3,3,3,3,3","0,1,2,3,3,3,3,3,4","0,1,2,3,3,3,3,4,4","0,1,2,3,3,3,4,4,4","0,1,2,3,3,4,4,4,4","0,1,2,3,4,4,4,4,4","0,1,2,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,4","0,1,3,3,3,3,3,4,4","0,1,3,3,3,3,4,4,4","0,1,3,3,3,4,4,4,4","0,1,3,3,4,4,4,4,4","0,1,3,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,4,4","0,2,2,2,2,2,3,3,3","0,2,2,2,2,2,3,3,4","0,2,2,2,2,2,3,4,4","0,2,2,2,2,2,4,4,4","0,2,2,2,2,3,3,3,3","0,2,2,2,2,3,3,3,4","0,2,2,2,2,3,3,4,4","0,2,2,2,2,3,4,4,4","0,2,2,2,2,4,4,4,4","0,2,2,2,3,3,3,3,3","0,2,2,2,3,3,3,3,4","0,2,2,2,3,3,3,4,4","0,2,2,2,3,3,4,4,4","0,2,2,2,3,4,4,4,4","0,2,2,2,4,4,4,4,4","0,2,2,3,3,3,3,3,3","0,2,2,3,3,3,3,3,4","0,2,2,3,3,3,3,4,4","0,2,2,3,3,3,4,4,4","0,2,2,3,3,4,4,4,4","0,2,2,3,4,4,4,4,4","0,2,2,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,4","0,2,3,3,3,3,3,4,4","0,2,3,3,3,3,4,4,4","0,2,3,3,3,4,4,4,4","0,2,3,3,4,4,4,4,4","0,2,3,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,4,4","0,3,3,3,3,3,4,4,4","0,3,3,3,3,4,4,4,4","0,3,3,3,4,4,4,4,4","0,3,3,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,4,4,4","1,1,1,1,1,2,2,2,2","1,1,1,1,1,2,2,2,3","1,1,1,1,1,2,2,2,4","1,1,1,1,1,2,2,3,3","1,1,1,1,1,2,2,3,4","1,1,1,1,1,2,2,4,4","1,1,1,1,1,2,3,3,3","1,1,1,1,1,2,3,3,4","1,1,1,1,1,2,3,4,4","1,1,1,1,1,2,4,4,4","1,1,1,1,1,3,3,3,3","1,1,1,1,1,3,3,3,4","1,1,1,1,1,3,3,4,4","1,1,1,1,1,3,4,4,4","1,1,1,1,1,4,4,4,4","1,1,1,1,2,2,2,2,2","1,1,1,1,2,2,2,2,3","1,1,1,1,2,2,2,2,4","1,1,1,1,2,2,2,3,3","1,1,1,1,2,2,2,3,4","1,1,1,1,2,2,2,4,4","1,1,1,1,2,2,3,3,3","1,1,1,1,2,2,3,3,4","1,1,1,1,2,2,3,4,4","1,1,1,1,2,2,4,4,4","1,1,1,1,2,3,3,3,3","1,1,1,1,2,3,3,3,4","1,1,1,1,2,3,3,4,4","1,1,1,1,2,3,4,4,4","1,1,1,1,2,4,4,4,4","1,1,1,1,3,3,3,3,3","1,1,1,1,3,3,3,3,4","1,1,1,1,3,3,3,4,4","1,1,1,1,3,3,4,4,4","1,1,1,1,3,4,4,4,4","1,1,1,1,4,4,4,4,4","1,1,1,2,2,2,2,2,2","1,1,1,2,2,2,2,2,3","1,1,1,2,2,2,2,2,4","1,1,1,2,2,2,2,3,3","1,1,1,2,2,2,2,3,4","1,1,1,2,2,2,2,4,4","1,1,1,2,2,2,3,3,3","1,1,1,2,2,2,3,3,4","1,1,1,2,2,2,3,4,4","1,1,1,2,2,2,4,4,4","1,1,1,2,2,3,3,3,3","1,1,1,2,2,3,3,3,4","1,1,1,2,2,3,3,4,4","1,1,1,2,2,3,4,4,4","1,1,1,2,2,4,4,4,4","1,1,1,2,3,3,3,3,3","1,1,1,2,3,3,3,3,4","1,1,1,2,3,3,3,4,4","1,1,1,2,3,3,4,4,4","1,1,1,2,3,4,4,4,4","1,1,1,2,4,4,4,4,4","1,1,1,3,3,3,3,3,3","1,1,1,3,3,3,3,3,4","1,1,1,3,3,3,3,4,4","1,1,1,3,3,3,4,4,4","1,1,1,3,3,4,4,4,4","1,1,1,3,4,4,4,4,4","1,1,1,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,4","1,1,2,2,2,2,2,3,3","1,1,2,2,2,2,2,3,4","1,1,2,2,2,2,2,4,4","1,1,2,2,2,2,3,3,3","1,1,2,2,2,2,3,3,4","1,1,2,2,2,2,3,4,4","1,1,2,2,2,2,4,4,4","1,1,2,2,2,3,3,3,3","1,1,2,2,2,3,3,3,4","1,1,2,2,2,3,3,4,4","1,1,2,2,2,3,4,4,4","1,1,2,2,2,4,4,4,4","1,1,2,2,3,3,3,3,3","1,1,2,2,3,3,3,3,4","1,1,2,2,3,3,3,4,4","1,1,2,2,3,3,4,4,4","1,1,2,2,3,4,4,4,4","1,1,2,2,4,4,4,4,4","1,1,2,3,3,3,3,3,3","1,1,2,3,3,3,3,3,4","1,1,2,3,3,3,3,4,4","1,1,2,3,3,3,4,4,4","1,1,2,3,3,4,4,4,4","1,1,2,3,4,4,4,4,4","1,1,2,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,4","1,1,3,3,3,3,3,4,4","1,1,3,3,3,3,4,4,4","1,1,3,3,3,4,4,4,4","1,1,3,3,4,4,4,4,4","1,1,3,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,4,4","1,2,2,2,2,2,3,3,3","1,2,2,2,2,2,3,3,4","1,2,2,2,2,2,3,4,4","1,2,2,2,2,2,4,4,4","1,2,2,2,2,3,3,3,3","1,2,2,2,2,3,3,3,4","1,2,2,2,2,3,3,4,4","1,2,2,2,2,3,4,4,4","1,2,2,2,2,4,4,4,4","1,2,2,2,3,3,3,3,3","1,2,2,2,3,3,3,3,4","1,2,2,2,3,3,3,4,4","1,2,2,2,3,3,4,4,4","1,2,2,2,3,4,4,4,4","1,2,2,2,4,4,4,4,4","1,2,2,3,3,3,3,3,3","1,2,2,3,3,3,3,3,4","1,2,2,3,3,3,3,4,4","1,2,2,3,3,3,4,4,4","1,2,2,3,3,4,4,4,4","1,2,2,3,4,4,4,4,4","1,2,2,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,4","1,2,3,3,3,3,3,4,4","1,2,3,3,3,3,4,4,4","1,2,3,3,3,4,4,4,4","1,2,3,3,4,4,4,4,4","1,2,3,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,4,4","1,3,3,3,3,3,4,4,4","1,3,3,3,3,4,4,4,4","1,3,3,3,4,4,4,4,4","1,3,3,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,4,4,4","2,2,2,2,2,3,3,3,3","2,2,2,2,2,3,3,3,4","2,2,2,2,2,3,3,4,4","2,2,2,2,2,3,4,4,4","2,2,2,2,2,4,4,4,4","2,2,2,2,3,3,3,3,3","2,2,2,2,3,3,3,3,4","2,2,2,2,3,3,3,4,4","2,2,2,2,3,3,4,4,4","2,2,2,2,3,4,4,4,4","2,2,2,2,4,4,4,4,4","2,2,2,3,3,3,3,3,3","2,2,2,3,3,3,3,3,4","2,2,2,3,3,3,3,4,4","2,2,2,3,3,3,4,4,4","2,2,2,3,3,4,4,4,4","2,2,2,3,4,4,4,4,4","2,2,2,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,4","2,2,3,3,3,3,3,4,4","2,2,3,3,3,3,4,4,4","2,2,3,3,3,4,4,4,4","2,2,3,3,4,4,4,4,4","2,2,3,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,4,4","2,3,3,3,3,3,4,4,4","2,3,3,3,3,4,4,4,4","2,3,3,3,4,4,4,4,4","2,3,3,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,4,4,4","3,3,3,3,3,4,4,4,4","3,3,3,3,4,4,4,4,4","3,3,3,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4") + +## 10 +#algoritmo "-A" c ("0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,4","0,0,0,0,1,1,1,1,2,2","0,0,0,0,1,1,1,1,2,3","0,0,0,0,1,1,1,1,2,4","0,0,0,0,1,1,1,1,3,3","0,0,0,0,1,1,1,1,3,4","0,0,0,0,1,1,1,1,4,4","0,0,0,0,1,1,1,2,2,2","0,0,0,0,1,1,1,2,2,3","0,0,0,0,1,1,1,2,2,4","0,0,0,0,1,1,1,2,3,3","0,0,0,0,1,1,1,2,3,4","0,0,0,0,1,1,1,2,4,4","0,0,0,0,1,1,1,3,3,3","0,0,0,0,1,1,1,3,3,4","0,0,0,0,1,1,1,3,4,4","0,0,0,0,1,1,1,4,4,4","0,0,0,0,1,1,2,2,2,2","0,0,0,0,1,1,2,2,2,3","0,0,0,0,1,1,2,2,2,4","0,0,0,0,1,1,2,2,3,3","0,0,0,0,1,1,2,2,3,4","0,0,0,0,1,1,2,2,4,4","0,0,0,0,1,1,2,3,3,3","0,0,0,0,1,1,2,3,3,4","0,0,0,0,1,1,2,3,4,4","0,0,0,0,1,1,2,4,4,4","0,0,0,0,1,1,3,3,3,3","0,0,0,0,1,1,3,3,3,4","0,0,0,0,1,1,3,3,4,4","0,0,0,0,1,1,3,4,4,4","0,0,0,0,1,1,4,4,4,4","0,0,0,0,1,2,2,2,2,2","0,0,0,0,1,2,2,2,2,3","0,0,0,0,1,2,2,2,2,4","0,0,0,0,1,2,2,2,3,3","0,0,0,0,1,2,2,2,3,4","0,0,0,0,1,2,2,2,4,4","0,0,0,0,1,2,2,3,3,3","0,0,0,0,1,2,2,3,3,4","0,0,0,0,1,2,2,3,4,4","0,0,0,0,1,2,2,4,4,4","0,0,0,0,1,2,3,3,3,3","0,0,0,0,1,2,3,3,3,4","0,0,0,0,1,2,3,3,4,4","0,0,0,0,1,2,3,4,4,4","0,0,0,0,1,2,4,4,4,4","0,0,0,0,1,3,3,3,3,3","0,0,0,0,1,3,3,3,3,4","0,0,0,0,1,3,3,3,4,4","0,0,0,0,1,3,3,4,4,4","0,0,0,0,1,3,4,4,4,4","0,0,0,0,1,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,4","0,0,0,0,2,2,2,2,3,3","0,0,0,0,2,2,2,2,3,4","0,0,0,0,2,2,2,2,4,4","0,0,0,0,2,2,2,3,3,3","0,0,0,0,2,2,2,3,3,4","0,0,0,0,2,2,2,3,4,4","0,0,0,0,2,2,2,4,4,4","0,0,0,0,2,2,3,3,3,3","0,0,0,0,2,2,3,3,3,4","0,0,0,0,2,2,3,3,4,4","0,0,0,0,2,2,3,4,4,4","0,0,0,0,2,2,4,4,4,4","0,0,0,0,2,3,3,3,3,3","0,0,0,0,2,3,3,3,3,4","0,0,0,0,2,3,3,3,4,4","0,0,0,0,2,3,3,4,4,4","0,0,0,0,2,3,4,4,4,4","0,0,0,0,2,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,4","0,0,0,0,3,3,3,3,4,4","0,0,0,0,3,3,3,4,4,4","0,0,0,0,3,3,4,4,4,4","0,0,0,0,3,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,4,4","0,0,0,1,1,1,1,2,2,2","0,0,0,1,1,1,1,2,2,3","0,0,0,1,1,1,1,2,2,4","0,0,0,1,1,1,1,2,3,3","0,0,0,1,1,1,1,2,3,4","0,0,0,1,1,1,1,2,4,4","0,0,0,1,1,1,1,3,3,3","0,0,0,1,1,1,1,3,3,4","0,0,0,1,1,1,1,3,4,4","0,0,0,1,1,1,1,4,4,4","0,0,0,1,1,1,2,2,2,2","0,0,0,1,1,1,2,2,2,3","0,0,0,1,1,1,2,2,2,4","0,0,0,1,1,1,2,2,3,3","0,0,0,1,1,1,2,2,3,4","0,0,0,1,1,1,2,2,4,4","0,0,0,1,1,1,2,3,3,3","0,0,0,1,1,1,2,3,3,4","0,0,0,1,1,1,2,3,4,4","0,0,0,1,1,1,2,4,4,4","0,0,0,1,1,1,3,3,3,3","0,0,0,1,1,1,3,3,3,4","0,0,0,1,1,1,3,3,4,4","0,0,0,1,1,1,3,4,4,4","0,0,0,1,1,1,4,4,4,4","0,0,0,1,1,2,2,2,2,2","0,0,0,1,1,2,2,2,2,3","0,0,0,1,1,2,2,2,2,4","0,0,0,1,1,2,2,2,3,3","0,0,0,1,1,2,2,2,3,4","0,0,0,1,1,2,2,2,4,4","0,0,0,1,1,2,2,3,3,3","0,0,0,1,1,2,2,3,3,4","0,0,0,1,1,2,2,3,4,4","0,0,0,1,1,2,2,4,4,4","0,0,0,1,1,2,3,3,3,3","0,0,0,1,1,2,3,3,3,4","0,0,0,1,1,2,3,3,4,4","0,0,0,1,1,2,3,4,4,4","0,0,0,1,1,2,4,4,4,4","0,0,0,1,1,3,3,3,3,3","0,0,0,1,1,3,3,3,3,4","0,0,0,1,1,3,3,3,4,4","0,0,0,1,1,3,3,4,4,4","0,0,0,1,1,3,4,4,4,4","0,0,0,1,1,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,4","0,0,0,1,2,2,2,2,3,3","0,0,0,1,2,2,2,2,3,4","0,0,0,1,2,2,2,2,4,4","0,0,0,1,2,2,2,3,3,3","0,0,0,1,2,2,2,3,3,4","0,0,0,1,2,2,2,3,4,4","0,0,0,1,2,2,2,4,4,4","0,0,0,1,2,2,3,3,3,3","0,0,0,1,2,2,3,3,3,4","0,0,0,1,2,2,3,3,4,4","0,0,0,1,2,2,3,4,4,4","0,0,0,1,2,2,4,4,4,4","0,0,0,1,2,3,3,3,3,3","0,0,0,1,2,3,3,3,3,4","0,0,0,1,2,3,3,3,4,4","0,0,0,1,2,3,3,4,4,4","0,0,0,1,2,3,4,4,4,4","0,0,0,1,2,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,4","0,0,0,1,3,3,3,3,4,4","0,0,0,1,3,3,3,4,4,4","0,0,0,1,3,3,4,4,4,4","0,0,0,1,3,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,4,4","0,0,0,2,2,2,2,3,3,3","0,0,0,2,2,2,2,3,3,4","0,0,0,2,2,2,2,3,4,4","0,0,0,2,2,2,2,4,4,4","0,0,0,2,2,2,3,3,3,3","0,0,0,2,2,2,3,3,3,4","0,0,0,2,2,2,3,3,4,4","0,0,0,2,2,2,3,4,4,4","0,0,0,2,2,2,4,4,4,4","0,0,0,2,2,3,3,3,3,3","0,0,0,2,2,3,3,3,3,4","0,0,0,2,2,3,3,3,4,4","0,0,0,2,2,3,3,4,4,4","0,0,0,2,2,3,4,4,4,4","0,0,0,2,2,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,4","0,0,0,2,3,3,3,3,4,4","0,0,0,2,3,3,3,4,4,4","0,0,0,2,3,3,4,4,4,4","0,0,0,2,3,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,4,4","0,0,0,3,3,3,3,4,4,4","0,0,0,3,3,3,4,4,4,4","0,0,0,3,3,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,4,4,4","0,0,1,1,1,1,2,2,2,2","0,0,1,1,1,1,2,2,2,3","0,0,1,1,1,1,2,2,2,4","0,0,1,1,1,1,2,2,3,3","0,0,1,1,1,1,2,2,3,4","0,0,1,1,1,1,2,2,4,4","0,0,1,1,1,1,2,3,3,3","0,0,1,1,1,1,2,3,3,4","0,0,1,1,1,1,2,3,4,4","0,0,1,1,1,1,2,4,4,4","0,0,1,1,1,1,3,3,3,3","0,0,1,1,1,1,3,3,3,4","0,0,1,1,1,1,3,3,4,4","0,0,1,1,1,1,3,4,4,4","0,0,1,1,1,1,4,4,4,4","0,0,1,1,1,2,2,2,2,2","0,0,1,1,1,2,2,2,2,3","0,0,1,1,1,2,2,2,2,4","0,0,1,1,1,2,2,2,3,3","0,0,1,1,1,2,2,2,3,4","0,0,1,1,1,2,2,2,4,4","0,0,1,1,1,2,2,3,3,3","0,0,1,1,1,2,2,3,3,4","0,0,1,1,1,2,2,3,4,4","0,0,1,1,1,2,2,4,4,4","0,0,1,1,1,2,3,3,3,3","0,0,1,1,1,2,3,3,3,4","0,0,1,1,1,2,3,3,4,4","0,0,1,1,1,2,3,4,4,4","0,0,1,1,1,2,4,4,4,4","0,0,1,1,1,3,3,3,3,3","0,0,1,1,1,3,3,3,3,4","0,0,1,1,1,3,3,3,4,4","0,0,1,1,1,3,3,4,4,4","0,0,1,1,1,3,4,4,4,4","0,0,1,1,1,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,4","0,0,1,1,2,2,2,2,3,3","0,0,1,1,2,2,2,2,3,4","0,0,1,1,2,2,2,2,4,4","0,0,1,1,2,2,2,3,3,3","0,0,1,1,2,2,2,3,3,4","0,0,1,1,2,2,2,3,4,4","0,0,1,1,2,2,2,4,4,4","0,0,1,1,2,2,3,3,3,3","0,0,1,1,2,2,3,3,3,4","0,0,1,1,2,2,3,3,4,4","0,0,1,1,2,2,3,4,4,4","0,0,1,1,2,2,4,4,4,4","0,0,1,1,2,3,3,3,3,3","0,0,1,1,2,3,3,3,3,4","0,0,1,1,2,3,3,3,4,4","0,0,1,1,2,3,3,4,4,4","0,0,1,1,2,3,4,4,4,4","0,0,1,1,2,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,4","0,0,1,1,3,3,3,3,4,4","0,0,1,1,3,3,3,4,4,4","0,0,1,1,3,3,4,4,4,4","0,0,1,1,3,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,4,4","0,0,1,2,2,2,2,3,3,3","0,0,1,2,2,2,2,3,3,4","0,0,1,2,2,2,2,3,4,4","0,0,1,2,2,2,2,4,4,4","0,0,1,2,2,2,3,3,3,3","0,0,1,2,2,2,3,3,3,4","0,0,1,2,2,2,3,3,4,4","0,0,1,2,2,2,3,4,4,4","0,0,1,2,2,2,4,4,4,4","0,0,1,2,2,3,3,3,3,3","0,0,1,2,2,3,3,3,3,4","0,0,1,2,2,3,3,3,4,4","0,0,1,2,2,3,3,4,4,4","0,0,1,2,2,3,4,4,4,4","0,0,1,2,2,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,4","0,0,1,2,3,3,3,3,4,4","0,0,1,2,3,3,3,4,4,4","0,0,1,2,3,3,4,4,4,4","0,0,1,2,3,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,4,4","0,0,1,3,3,3,3,4,4,4","0,0,1,3,3,3,4,4,4,4","0,0,1,3,3,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,4,4,4","0,0,2,2,2,2,3,3,3,3","0,0,2,2,2,2,3,3,3,4","0,0,2,2,2,2,3,3,4,4","0,0,2,2,2,2,3,4,4,4","0,0,2,2,2,2,4,4,4,4","0,0,2,2,2,3,3,3,3,3","0,0,2,2,2,3,3,3,3,4","0,0,2,2,2,3,3,3,4,4","0,0,2,2,2,3,3,4,4,4","0,0,2,2,2,3,4,4,4,4","0,0,2,2,2,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,4","0,0,2,2,3,3,3,3,4,4","0,0,2,2,3,3,3,4,4,4","0,0,2,2,3,3,4,4,4,4","0,0,2,2,3,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,4,4","0,0,2,3,3,3,3,4,4,4","0,0,2,3,3,3,4,4,4,4","0,0,2,3,3,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,4,4,4","0,0,3,3,3,3,4,4,4,4","0,0,3,3,3,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,4,4,4,4","0,1,1,1,1,2,2,2,2,2","0,1,1,1,1,2,2,2,2,3","0,1,1,1,1,2,2,2,2,4","0,1,1,1,1,2,2,2,3,3","0,1,1,1,1,2,2,2,3,4","0,1,1,1,1,2,2,2,4,4","0,1,1,1,1,2,2,3,3,3","0,1,1,1,1,2,2,3,3,4","0,1,1,1,1,2,2,3,4,4","0,1,1,1,1,2,2,4,4,4","0,1,1,1,1,2,3,3,3,3","0,1,1,1,1,2,3,3,3,4","0,1,1,1,1,2,3,3,4,4","0,1,1,1,1,2,3,4,4,4","0,1,1,1,1,2,4,4,4,4","0,1,1,1,1,3,3,3,3,3","0,1,1,1,1,3,3,3,3,4","0,1,1,1,1,3,3,3,4,4","0,1,1,1,1,3,3,4,4,4","0,1,1,1,1,3,4,4,4,4","0,1,1,1,1,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,4","0,1,1,1,2,2,2,2,3,3","0,1,1,1,2,2,2,2,3,4","0,1,1,1,2,2,2,2,4,4","0,1,1,1,2,2,2,3,3,3","0,1,1,1,2,2,2,3,3,4","0,1,1,1,2,2,2,3,4,4","0,1,1,1,2,2,2,4,4,4","0,1,1,1,2,2,3,3,3,3","0,1,1,1,2,2,3,3,3,4","0,1,1,1,2,2,3,3,4,4","0,1,1,1,2,2,3,4,4,4","0,1,1,1,2,2,4,4,4,4","0,1,1,1,2,3,3,3,3,3","0,1,1,1,2,3,3,3,3,4","0,1,1,1,2,3,3,3,4,4","0,1,1,1,2,3,3,4,4,4","0,1,1,1,2,3,4,4,4,4","0,1,1,1,2,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,4","0,1,1,1,3,3,3,3,4,4","0,1,1,1,3,3,3,4,4,4","0,1,1,1,3,3,4,4,4,4","0,1,1,1,3,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,4,4","0,1,1,2,2,2,2,3,3,3","0,1,1,2,2,2,2,3,3,4","0,1,1,2,2,2,2,3,4,4","0,1,1,2,2,2,2,4,4,4","0,1,1,2,2,2,3,3,3,3","0,1,1,2,2,2,3,3,3,4","0,1,1,2,2,2,3,3,4,4","0,1,1,2,2,2,3,4,4,4","0,1,1,2,2,2,4,4,4,4","0,1,1,2,2,3,3,3,3,3","0,1,1,2,2,3,3,3,3,4","0,1,1,2,2,3,3,3,4,4","0,1,1,2,2,3,3,4,4,4","0,1,1,2,2,3,4,4,4,4","0,1,1,2,2,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,4","0,1,1,2,3,3,3,3,4,4","0,1,1,2,3,3,3,4,4,4","0,1,1,2,3,3,4,4,4,4","0,1,1,2,3,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,4,4","0,1,1,3,3,3,3,4,4,4","0,1,1,3,3,3,4,4,4,4","0,1,1,3,3,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,4,4,4","0,1,2,2,2,2,3,3,3,3","0,1,2,2,2,2,3,3,3,4","0,1,2,2,2,2,3,3,4,4","0,1,2,2,2,2,3,4,4,4","0,1,2,2,2,2,4,4,4,4","0,1,2,2,2,3,3,3,3,3","0,1,2,2,2,3,3,3,3,4","0,1,2,2,2,3,3,3,4,4","0,1,2,2,2,3,3,4,4,4","0,1,2,2,2,3,4,4,4,4","0,1,2,2,2,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,4","0,1,2,2,3,3,3,3,4,4","0,1,2,2,3,3,3,4,4,4","0,1,2,2,3,3,4,4,4,4","0,1,2,2,3,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,4,4","0,1,2,3,3,3,3,4,4,4","0,1,2,3,3,3,4,4,4,4","0,1,2,3,3,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,4,4,4","0,1,3,3,3,3,4,4,4,4","0,1,3,3,3,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,4,4,4,4","0,2,2,2,2,3,3,3,3,3","0,2,2,2,2,3,3,3,3,4","0,2,2,2,2,3,3,3,4,4","0,2,2,2,2,3,3,4,4,4","0,2,2,2,2,3,4,4,4,4","0,2,2,2,2,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,4","0,2,2,2,3,3,3,3,4,4","0,2,2,2,3,3,3,4,4,4","0,2,2,2,3,3,4,4,4,4","0,2,2,2,3,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,4,4","0,2,2,3,3,3,3,4,4,4","0,2,2,3,3,3,4,4,4,4","0,2,2,3,3,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,4,4,4","0,2,3,3,3,3,4,4,4,4","0,2,3,3,3,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,4,4,4,4","0,3,3,3,3,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,4","1,1,1,1,2,2,2,2,3,3","1,1,1,1,2,2,2,2,3,4","1,1,1,1,2,2,2,2,4,4","1,1,1,1,2,2,2,3,3,3","1,1,1,1,2,2,2,3,3,4","1,1,1,1,2,2,2,3,4,4","1,1,1,1,2,2,2,4,4,4","1,1,1,1,2,2,3,3,3,3","1,1,1,1,2,2,3,3,3,4","1,1,1,1,2,2,3,3,4,4","1,1,1,1,2,2,3,4,4,4","1,1,1,1,2,2,4,4,4,4","1,1,1,1,2,3,3,3,3,3","1,1,1,1,2,3,3,3,3,4","1,1,1,1,2,3,3,3,4,4","1,1,1,1,2,3,3,4,4,4","1,1,1,1,2,3,4,4,4,4","1,1,1,1,2,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,4","1,1,1,1,3,3,3,3,4,4","1,1,1,1,3,3,3,4,4,4","1,1,1,1,3,3,4,4,4,4","1,1,1,1,3,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,4,4","1,1,1,2,2,2,2,3,3,3","1,1,1,2,2,2,2,3,3,4","1,1,1,2,2,2,2,3,4,4","1,1,1,2,2,2,2,4,4,4","1,1,1,2,2,2,3,3,3,3","1,1,1,2,2,2,3,3,3,4","1,1,1,2,2,2,3,3,4,4","1,1,1,2,2,2,3,4,4,4","1,1,1,2,2,2,4,4,4,4","1,1,1,2,2,3,3,3,3,3","1,1,1,2,2,3,3,3,3,4","1,1,1,2,2,3,3,3,4,4","1,1,1,2,2,3,3,4,4,4","1,1,1,2,2,3,4,4,4,4","1,1,1,2,2,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,4","1,1,1,2,3,3,3,3,4,4","1,1,1,2,3,3,3,4,4,4","1,1,1,2,3,3,4,4,4,4","1,1,1,2,3,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,4,4","1,1,1,3,3,3,3,4,4,4","1,1,1,3,3,3,4,4,4,4","1,1,1,3,3,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,4,4,4","1,1,2,2,2,2,3,3,3,3","1,1,2,2,2,2,3,3,3,4","1,1,2,2,2,2,3,3,4,4","1,1,2,2,2,2,3,4,4,4","1,1,2,2,2,2,4,4,4,4","1,1,2,2,2,3,3,3,3,3","1,1,2,2,2,3,3,3,3,4","1,1,2,2,2,3,3,3,4,4","1,1,2,2,2,3,3,4,4,4","1,1,2,2,2,3,4,4,4,4","1,1,2,2,2,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,4","1,1,2,2,3,3,3,3,4,4","1,1,2,2,3,3,3,4,4,4","1,1,2,2,3,3,4,4,4,4","1,1,2,2,3,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,4,4","1,1,2,3,3,3,3,4,4,4","1,1,2,3,3,3,4,4,4,4","1,1,2,3,3,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,4,4,4","1,1,3,3,3,3,4,4,4,4","1,1,3,3,3,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,4,4,4,4","1,2,2,2,2,3,3,3,3,3","1,2,2,2,2,3,3,3,3,4","1,2,2,2,2,3,3,3,4,4","1,2,2,2,2,3,3,4,4,4","1,2,2,2,2,3,4,4,4,4","1,2,2,2,2,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,4","1,2,2,2,3,3,3,3,4,4","1,2,2,2,3,3,3,4,4,4","1,2,2,2,3,3,4,4,4,4","1,2,2,2,3,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,4,4","1,2,2,3,3,3,3,4,4,4","1,2,2,3,3,3,4,4,4,4","1,2,2,3,3,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,4,4,4","1,2,3,3,3,3,4,4,4,4","1,2,3,3,3,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,4,4,4,4","1,3,3,3,3,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,4","2,2,2,2,3,3,3,3,4,4","2,2,2,2,3,3,3,4,4,4","2,2,2,2,3,3,4,4,4,4","2,2,2,2,3,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,4,4","2,2,2,3,3,3,3,4,4,4","2,2,2,3,3,3,4,4,4,4","2,2,2,3,3,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,4,4,4","2,2,3,3,3,3,4,4,4,4","2,2,3,3,3,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,4,4,4,4","2,3,3,3,3,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4") + +## 11 +#algoritmo "-A" c + +## 12 +#algoritmo "-A" c + +## 13 +#algoritmo "-A" c + +## 14 +#algoritmo "-A" c + +## 15 +#algoritmo "-A" c + +## 16 +#algoritmo "-A" c + +## 17 +#algoritmo "-A" c + +## 18 +#algoritmo "-A" c + +## 19 +#algoritmo "-A" c + +## 20 +#algoritmo "-A" c + +## 21 +#algoritmo "-A" c + +## 22 +#algoritmo "-A" c + +## 23 +#algoritmo "-A" c + +## 24 +#algoritmo "-A" c + +## 25 +#algoritmo "-A" c \ No newline at end of file diff --git a/src/irace/parameters-pso.txt b/src/irace/parameters-pso.txt index d5f53ed50..bb99ac0a2 100644 --- a/src/irace/parameters-pso.txt +++ b/src/irace/parameters-pso.txt @@ -3,4 +3,5 @@ # population_size "-p" c (20,500) population_size "-p" i (30, 10000) c1 "-v" r (0.1, 3) -c2 "-z" r (0.1,3) \ No newline at end of file +c2 "-z" r (0.1,3) +num_generations "-g" i (10, 2000) \ No newline at end of file diff --git a/src/irace/result-irace-26.txt b/src/irace/result-irace-26.txt new file mode 100644 index 000000000..4f7ea440c --- /dev/null +++ b/src/irace/result-irace-26.txt @@ -0,0 +1,48 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 16:59:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1614032557 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 16:59:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ diff --git a/src/irace/result-irace-44.txt b/src/irace/result-irace-44.txt new file mode 100644 index 000000000..8bbb12e3b --- /dev/null +++ b/src/irace/result-irace-44.txt @@ -0,0 +1,48 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:03:44 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1433917580 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:03:44 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ diff --git a/src/irace/results/ant.dat b/src/irace/results/ant.dat deleted file mode 100644 index 4b924a4f4..000000000 --- a/src/irace/results/ant.dat +++ /dev/null @@ -1,164 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research-main/src/irace/scenario.txt' has been found and will be read. -# 2023-05-29 15:33:15 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 3 -# seed: 226697423 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-29 15:33:15 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 7| 306.3484560| 27|00:00:27| NA| NA| NA| -|x| 2| 27| 7| 403.5302795| 54|00:00:23|+0.35|0.68|0.5210| -|x| 3| 27| 7| 707.7621303| 81|00:00:23|+0.02|0.35|0.8542| -|x| 4| 27| 7| 607.7990718| 108|00:00:29|-0.07|0.20|0.9707| -|=| 5| 27| 7| 756.2173868| 135|00:00:24|-0.05|0.16|0.9786| -|=| 6| 27| 7| 713.6494252| 162|00:00:27|+0.01|0.17|0.9370| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 7 mean value: 713.6494252 -Description of the best-so-far configuration: - .ID. num_ant num_candidates tax_evaporate .PARENT. -7 7 2604 12 0.92209 NA - -# 2023-05-29 15:35:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ant num_candidates tax_evaporate -7 2604 12 0.92209 -27 5065 7 0.25601 -3 9123 16 0.25548 -# 2023-05-29 15:35:52 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 162 -# remainingBudget: 338 -# currentBudget: 169 -# nbConfigurations: 26 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 26| 50| 500.7905030| 26|00:00:29| NA| NA| NA| -|x| 1| 26| 50| 403.9362330| 49|00:00:20|-0.13|0.44|1.0375| -|x| 2| 26| 50| 436.2652547| 72|00:00:19|+0.03|0.35|0.8046| -|x| 6| 26| 50| 452.3860153| 95|00:00:19|+0.10|0.32|0.7618| -|-| 4| 12| 50| 423.5017678| 118|00:00:20|-0.10|0.12|0.9886| -|=| 3| 12| 50| 567.6559213| 127|00:00:09|-0.06|0.12|0.9549| -|=| 5| 12| 50| 674.9900787| 136|00:00:10|-0.08|0.07|0.9866| -|=| 8| 12| 46| 743.3461634| 148|00:00:10|-0.09|0.05|0.9897| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 46 mean value: 743.3461634 -Description of the best-so-far configuration: - .ID. num_ant num_candidates tax_evaporate .PARENT. -46 46 2479 13 0.77798 7 - -# 2023-05-29 15:38:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ant num_candidates tax_evaporate -46 2479 13 0.77798 -50 5252 9 0.31458 -45 3091 9 0.73878 -# 2023-05-29 15:38:12 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 310 -# remainingBudget: 190 -# currentBudget: 190 -# nbConfigurations: 23 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 9| 23| 60| 306.5349800| 23|00:00:20| NA| NA| NA| -|x| 3| 23| 65| 799.6567815| 43|00:00:19|-0.05|0.48|0.9796| -|x| 7| 23| 63| 703.8626513| 63|00:00:19|-0.26|0.16|1.2035| -|x| 5| 23| 63| 862.3268895| 83|00:00:19|-0.21|0.10|1.1456| -|=| 1| 23| 46| 731.9214274| 103|00:00:20|-0.09|0.13|1.0184| -|=| 2| 23| 57| 700.5114515| 123|00:00:19|-0.07|0.11|1.0163| -|=| 4| 23| 50| 647.5168950| 143|00:00:20|-0.04|0.11|0.9994| -|=| 6| 23| 50| 629.1708203| 163|00:00:19|-0.03|0.10|1.0022| -|=| 8| 23| 50| 706.2338770| 183|00:00:19|-0.01|0.10|0.9768| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 50 mean value: 706.2338770 -Description of the best-so-far configuration: - .ID. num_ant num_candidates tax_evaporate .PARENT. -50 50 5252 9 0.31458 27 - -# 2023-05-29 15:41:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ant num_candidates tax_evaporate -50 5252 9 0.31458 -52 5843 8 0.28507 -46 2479 13 0.77798 -# 2023-05-29 15:41:12 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 4 -# nbIterations: 4 -# experimentsUsedSoFar: 493 -# timeUsed: 0 -# remainingBudget: 7 -# currentBudget: 7 -# number of elites: 3 -# nbConfigurations: 3 -# Total CPU user time: 4682.491, CPU sys time: 4.248, Wall-clock time: 476.808 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ant num_candidates tax_evaporate -50 5252 9 0.31458 -52 5843 8 0.28507 -46 2479 13 0.77798 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -50 -a5252 -c9 -e0.31458 -52 -a5843 -c8 -e0.28507 -46 -a2479 -c13 -e0.77798 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-29 15:41:12 -03: No test instances, skip testing -Warning message: -In readLines(con = file) : - linha final incompleta encontrada em '/home/discente/Downloads/heuristic-scientific-research-main/src/irace/parameters-ant.txt' \ No newline at end of file diff --git a/src/irace/results/clonalg.dat b/src/irace/results/clonalg.dat deleted file mode 100644 index 33e92c88f..000000000 --- a/src/irace/results/clonalg.dat +++ /dev/null @@ -1,197 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-30 12:39:31 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 2 -# seed: 1877425027 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-30 12:39:31 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 15| 1230.259163| 27|00:00:39| NA| NA| NA| -|x| 2| 27| 15| 768.0482745| 54|00:01:23|+0.40|0.70|0.5092| -|x| 3| 27| 18| 679.9091960| 81|00:00:46|-0.13|0.25|1.0433| -|x| 4| 27| 5| 639.0972208| 108|00:00:49|-0.12|0.16|1.0505| -|=| 5| 27| 7| 570.4260114| 135|00:01:26|-0.04|0.17|0.9503| -|=| 6| 27| 18| 679.6883955| 162|00:00:39|+0.00|0.17|0.9174| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 18 mean value: 679.6883955 -Description of the best-so-far configuration: - .ID. population_size clones .PARENT. -18 18 1042 3 NA - -# 2023-05-30 12:45:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size clones -18 1042 3 -7 1382 27 -5 1299 41 -# 2023-05-30 12:45:17 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 162 -# remainingBudget: 338 -# currentBudget: 169 -# nbConfigurations: 26 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 26| 44| 500.4597050| 26|00:00:36| NA| NA| NA| -|x| 2| 26| 44| 403.1740085| 49|00:00:32|+0.07|0.53|0.8698| -|x| 1| 26| 18| 679.8316403| 72|00:00:25|-0.01|0.33|1.0193| -|x| 4| 26| 40| 634.0297777| 95|00:00:30|+0.03|0.28|0.9158| -|=| 5| 26| 40| 568.4852268| 118|00:00:35|+0.12|0.29|0.8525| -|=| 3| 26| 40| 557.1901785| 141|00:00:30|+0.07|0.23|0.8651| -|=| 6| 26| 40| 655.0237751| 164|00:00:26|+0.03|0.17|0.9198| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 40 mean value: 655.0237751 -Description of the best-so-far configuration: - .ID. population_size clones .PARENT. -40 40 322 31 7 - -# 2023-05-30 12:48:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size clones -40 322 31 -18 1042 3 -46 443 7 -# 2023-05-30 12:48:55 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 326 -# remainingBudget: 174 -# currentBudget: 174 -# nbConfigurations: 24 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 24| 54| 304.7405040| 24|00:00:33| NA| NA| NA| -|x| 3| 24| 54| 402.6119990| 45|00:00:29|+0.06|0.53|0.7733| -|x| 7| 24| 54| 435.3124463| 66|00:00:30|+0.11|0.41|0.7472| -|x| 5| 24| 54| 402.7163405| 87|00:00:30|+0.24|0.43|0.6673| -|-| 4| 8| 54| 422.2921634| 108|00:00:29|+0.11|0.29|0.7508| -|=| 6| 8| 54| 559.8016048| 113|00:00:09|+0.03|0.19|0.8571| -|=| 2| 8| 54| 523.1449944| 118|00:00:10|+0.04|0.17|0.8395| -|=| 1| 8| 54| 611.9244559| 123|00:00:09|+0.05|0.17|0.8335| -|=| 9| 8| 54| 682.3470932| 131|00:00:10|+0.02|0.13|0.8711| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 54 mean value: 682.3470932 -Description of the best-so-far configuration: - .ID. population_size clones .PARENT. -54 54 77 35 40 - -# 2023-05-30 12:52:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size clones -54 77 35 -71 640 28 -40 322 31 -# 2023-05-30 12:52:08 -03: Iteration 4 of 4 -# experimentsUsedSoFar: 457 -# remainingBudget: 43 -# currentBudget: 43 -# nbConfigurations: 7 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 10| 7| 54| 303.8945150| 7|00:00:10| NA| NA| NA| -|x| 9| 7| 40| 766.8912765| 11|00:00:10|-0.25|0.38|1.1994| -|x| 6| 7| 40| 925.2693027| 15|00:00:09|+0.02|0.35|0.9576| -|x| 2| 7| 40| 770.1401877| 19|00:00:11|+0.05|0.29|0.9145| -|=| 5| 7| 71| 675.3717720| 23|00:00:10|+0.10|0.28|0.8214| -|=| 8| 7| 72| 615.2276987| 27|00:00:10|+0.07|0.22|0.8249| -|=| 3| 7| 72| 598.8656666| 31|00:00:09|+0.15|0.27|0.7519| -|-| 7| 5| 72| 586.5425989| 35|00:00:09|-0.01|0.12|0.8088| -|=| 4| 5| 72| 576.9878940| 37|00:00:09|+0.04|0.15|0.7793| -|=| 1| 5| 72| 641.7907242| 39|00:00:04|+0.08|0.17|0.7589| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 72 mean value: 641.7907242 -Description of the best-so-far configuration: - .ID. population_size clones .PARENT. -72 72 124 36 54 - -# 2023-05-30 12:53:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size clones -72 124 36 -54 77 35 -40 322 31 -# 2023-05-30 12:53:44 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 5 -# nbIterations: 5 -# experimentsUsedSoFar: 496 -# timeUsed: 0 -# remainingBudget: 4 -# currentBudget: 4 -# number of elites: 3 -# nbConfigurations: 3 -# Total CPU user time: 5386.092, CPU sys time: 13.049, Wall-clock time: 852.598 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size clones -72 124 36 -54 77 35 -40 322 31 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -72 -p124 -c36 -54 -p77 -c35 -40 -p322 -c31 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-30 12:53:44 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/diferencial_corrigido.dat b/src/irace/results/diferencial_corrigido.dat deleted file mode 100644 index 5f5528998..000000000 --- a/src/irace/results/diferencial_corrigido.dat +++ /dev/null @@ -1,10 +0,0 @@ -F = 0.77294; -population_size = 140; -mutation_rate = 28; -crossover_rate = 89; - -otimização sem crossover(evolucao_de_3): - -F = 0.83709; -population_size = 50; -mutation_rate = 11; \ No newline at end of file diff --git a/src/irace/results/ecolucao_simples_island_6parameters.dat b/src/irace/results/ecolucao_simples_island_6parameters.dat deleted file mode 100644 index fc5178e91..000000000 --- a/src/irace/results/ecolucao_simples_island_6parameters.dat +++ /dev/null @@ -1,242 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /home/vinicius/R/x86_64-pc-linux-gnu-library/4.1/irace -# called with: -== irace == WARNING: A default scenario file '/home/vinicius/Documentos/Iniciação-cientifica/Main/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-31 21:40:34 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 4 -# minNbSurvival: 4 -# nbParameters: 5 -# seed: 76393207 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-31 21:40:34 -03: Iteration 1 of 4 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 125 -# nbConfigurations: 20 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 20| 16| 7008.169465| 20|00:00:35| NA| NA| NA| -|x| 2| 20| 14| 4489.721336| 40|00:00:42|+0.13|0.57|0.7883| -|x| 3| 20| 16| 2942.182032| 60|00:00:34|+0.11|0.41|0.8194| -|x| 4| 20| 16| 2331.953624| 80|00:00:37|+0.17|0.38|0.7518| -|-| 5| 14| 14| 4075.453000| 100|00:00:33|-0.05|0.16|0.9484| -|=| 6| 14| 9| 4728.686121| 114|00:00:23|-0.00|0.17|0.9311| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 9 mean value: 4728.686121 -Description of the best-so-far configuration: - .ID. population_size mutation_rate num_ilhas num_migrations num_generations .PARENT. -9 9 962 98 4 27 185 NA - -# 2023-05-31 21:44:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -9 962 98 4 27 185 -14 2409 75 9 3 207 -11 867 100 6 28 27 -16 591 86 3 20 137 -# 2023-05-31 21:44:01 -03: Iteration 2 of 4 -# experimentsUsedSoFar: 114 -# remainingBudget: 386 -# currentBudget: 128 -# nbConfigurations: 21 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 21| 30| 5259.127557| 21|00:00:32| NA| NA| NA| -|x| 1| 21| 25| 8400.975083| 38|00:00:30|+0.37|0.69|0.5976| -|x| 5| 21| 30| 7315.744299| 55|00:00:30|+0.44|0.63|0.4280| -|x| 2| 21| 25| 6492.110663| 72|00:00:33|+0.26|0.45|0.6224| -|=| 6| 21| 25| 5463.224078| 89|00:00:31|+0.13|0.30|0.8905| -|=| 3| 21| 25| 4777.612025| 106|00:00:30|+0.04|0.20|0.9315| -|-| 4| 12| 25| 4166.639015| 123|00:00:31|-0.04|0.11|0.9758| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 4166.639015 -Description of the best-so-far configuration: - .ID. population_size mutation_rate num_ilhas num_migrations num_generations .PARENT. -25 25 108 47 5 29 184 11 - -# 2023-05-31 21:47:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -25 108 47 5 29 184 -22 2529 95 4 27 74 -29 2502 49 7 9 192 -9 962 98 4 27 185 -# 2023-05-31 21:47:42 -03: Iteration 3 of 4 -# experimentsUsedSoFar: 237 -# remainingBudget: 263 -# currentBudget: 131 -# nbConfigurations: 19 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 19| 41| 500.8509900| 19|00:00:31| NA| NA| NA| -|x| 1| 19| 41| 3546.541057| 34|00:00:21|+0.27|0.64|0.6907| -|x| 5| 19| 41| 4951.220054| 49|00:00:20|+0.11|0.40|0.8764| -|x| 4| 19| 25| 4646.296714| 64|00:00:22|-0.05|0.21|1.0210| -|=| 7| 19| 25| 5293.887894| 79|00:00:20|-0.02|0.18|0.9908| -|=| 2| 19| 25| 4495.058457| 94|00:00:23|-0.04|0.14|1.0094| -|=| 6| 19| 25| 4045.432640| 109|00:00:21|-0.04|0.11|1.0050| -|=| 3| 19| 25| 3708.447530| 124|00:00:21|-0.04|0.09|1.0144| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 3708.447530 -Description of the best-so-far configuration: - .ID. population_size mutation_rate num_ilhas num_migrations num_generations .PARENT. -25 25 108 47 5 29 184 11 - -# 2023-05-31 21:50:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -25 108 47 5 29 184 -22 2529 95 4 27 74 -48 177 95 6 21 187 -29 2502 49 7 9 192 -# 2023-05-31 21:50:45 -03: Iteration 4 of 4 -# experimentsUsedSoFar: 361 -# remainingBudget: 139 -# currentBudget: 139 -# nbConfigurations: 19 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 9| 19| 54| 1254.984817| 19|00:00:30| NA| NA| NA| -|x| 4| 19| 25| 887.8960165| 34|00:00:22|+0.02|0.51|0.9752| -|x| 1| 19| 25| 3564.496529| 49|00:00:21|+0.19|0.46|0.7610| -|x| 8| 19| 25| 2798.649180| 64|00:00:21|+0.18|0.39|0.7814| -|-| 2| 11| 25| 2339.101598| 79|00:00:22|-0.03|0.18|0.9644| -|=| 6| 11| 25| 2173.864288| 86|00:00:10|-0.03|0.14|0.9676| -|=| 5| 11| 25| 3101.252420| 93|00:00:10|-0.02|0.13|0.9747| -|=| 3| 11| 25| 2882.289837| 100|00:00:10|+0.01|0.13|0.9433| -|=| 7| 11| 25| 3438.063479| 107|00:00:11|+0.04|0.15|0.8969| -|=| 10| 11| 25| 3229.268073| 118|00:00:20|+0.05|0.14|0.9043| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 3229.268073 -Description of the best-so-far configuration: - .ID. population_size mutation_rate num_ilhas num_migrations num_generations .PARENT. -25 25 108 47 5 29 184 11 - -# 2023-05-31 21:53:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -25 108 47 5 29 184 -54 3494 47 7 11 222 -48 177 95 6 21 187 -56 2276 67 5 27 77 -# 2023-05-31 21:53:48 -03: Iteration 5 of 5 -# experimentsUsedSoFar: 479 -# remainingBudget: 21 -# currentBudget: 21 -# nbConfigurations: 5 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 11| 5| 25| 7029.242060| 5|00:00:09| NA| NA| NA| -|x| 5| 5| 25| 7847.411637| 6|00:00:09|+0.00|0.50|0.5346| -|x| 1| 5| 25| 8204.173609| 7|00:00:09|+0.13|0.42|0.5612| -|x| 3| 5| 68| 6879.223547| 8|00:00:10|+0.12|0.34|0.5984| -|=| 6| 5| 68| 5765.002326| 9|00:00:09|-0.02|0.18|0.8138| -|=| 7| 5| 25| 5865.667156| 10|00:00:10|-0.01|0.16|0.8119| -|=| 2| 5| 25| 5099.273458| 11|00:00:09|+0.02|0.16|0.7850| -|=| 10| 5| 25| 4630.627953| 12|00:00:09|+0.00|0.12|0.8420| -|=| 8| 5| 25| 4171.792306| 13|00:00:10|-0.06|0.06|0.8653| -|=| 9| 5| 25| 3882.112183| 14|00:00:09|-0.02|0.08|0.8458| -|=| 4| 5| 25| 3574.720253| 15|00:00:10|-0.01|0.08|0.8236| -|=| 12| 5| 25| 3318.599340| 20|00:00:10|-0.04|0.04|0.8385| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 3318.599340 -Description of the best-so-far configuration: - .ID. population_size mutation_rate num_ilhas num_migrations num_generations .PARENT. -25 25 108 47 5 29 184 11 - -# 2023-05-31 21:55:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -25 108 47 5 29 184 -48 177 95 6 21 187 -54 3494 47 7 11 222 -68 836 64 5 28 95 -# 2023-05-31 21:55:48 -03: Stopped because there is not enough budget left to race more than the minimum (4) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 6 -# nbIterations: 6 -# experimentsUsedSoFar: 499 -# timeUsed: 0 -# remainingBudget: 1 -# currentBudget: 1 -# number of elites: 4 -# nbConfigurations: 3 -# Total CPU user time: 5070.73, CPU sys time: 39.743, Wall-clock time: 913.951 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate num_ilhas num_migrations num_generations -25 108 47 5 29 184 -48 177 95 6 21 187 -54 3494 47 7 11 222 -68 836 64 5 28 95 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -25 -p108 -m47 -i5 -k29 -g184 -48 -p177 -m95 -i6 -k21 -g187 -54 -p3494 -m47 -i7 -k11 -g222 -68 -p836 -m64 -i5 -k28 -g95 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-31 21:55:48 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/evolucao_mpop.dat b/src/irace/results/evolucao_mpop.dat deleted file mode 100644 index 68dcaee04..000000000 --- a/src/irace/results/evolucao_mpop.dat +++ /dev/null @@ -1,211 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Documentos/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-15 11:53:53 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 4 -# minNbSurvival: 4 -# nbParameters: 4 -# seed: 134312075 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-15 11:53:53 -03: Iteration 1 of 4 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 125 -# nbConfigurations: 20 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 20| 14| 500.1089850| 20|00:00:30| NA| NA| NA| -|x| 2| 20| 14| 920.4042285| 40|00:00:29|-0.55|0.22|1.5540| -|x| 3| 20| 9| 674.6345177| 60|00:00:32|-0.16|0.22|1.1656| -|x| 4| 20| 9| 580.9758883| 80|00:00:32|+0.08|0.31|0.9197| -|-| 5| 10| 9| 707.4505704| 100|00:00:29|+0.10|0.28|0.8649| -|=| 6| 10| 9| 672.9405110| 110|00:00:15|+0.03|0.19|0.9515| -|=| 7| 10| 9| 751.6255014| 120|00:00:14|+0.10|0.23|0.8753| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 9 mean value: 751.6255014 -Description of the best-so-far configuration: - .ID. population_size island_size num_migrations crossover_rate .PARENT. -9 9 166 6 11 94 NA - -# 2023-05-15 11:56:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size island_size num_migrations crossover_rate -9 166 6 11 94 -2 91 14 8 93 -1 157 8 20 81 -15 192 13 15 91 -# 2023-05-15 11:56:58 -03: Iteration 2 of 4 -# experimentsUsedSoFar: 120 -# remainingBudget: 380 -# currentBudget: 126 -# nbConfigurations: 19 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 19| 1| 300.0000000| 19|00:00:32| NA| NA| NA| -|x| 2| 19| 22| 761.2573880| 34|00:00:30|+0.44|0.72|0.5872| -|x| 4| 19| 22| 607.5049280| 49|00:00:31|+0.59|0.73|0.4595| -|x| 3| 19| 22| 530.6286960| 64|00:00:30|+0.68|0.76|0.3663| -|-| 5| 9| 9| 667.2908922| 79|00:00:29|-0.04|0.17|0.9134| -|=| 7| 9| 9| 760.0316508| 84|00:00:15|+0.03|0.19|0.9172| -|=| 6| 9| 9| 722.9400170| 89|00:00:15|+0.12|0.25|0.8487| -|=| 1| 9| 35| 696.8087775| 94|00:00:15|+0.05|0.17|0.8716| -|=| 9| 9| 35| 675.0112243| 103|00:00:15|+0.06|0.17|0.8454| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 35 mean value: 675.0112243 -Description of the best-so-far configuration: - .ID. population_size island_size num_migrations crossover_rate .PARENT. -35 35 148 13 7 84 9 - -# 2023-05-15 12:00:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size island_size num_migrations crossover_rate -35 148 13 7 84 -22 67 4 8 94 -9 166 6 11 94 -27 175 8 5 85 -# 2023-05-15 12:00:33 -03: Iteration 3 of 4 -# experimentsUsedSoFar: 223 -# remainingBudget: 277 -# currentBudget: 138 -# nbConfigurations: 17 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 10| 17| 44| 500.1371900| 17|00:00:29| NA| NA| NA| -|x| 4| 17| 37| 400.2559935| 30|00:00:31|-0.47|0.27|1.2961| -|x| 3| 17| 37| 366.8373290| 43|00:00:31|-0.03|0.31|0.9006| -|x| 8| 17| 37| 350.1279967| 56|00:00:31|+0.19|0.40|0.7211| -|-| 2| 11| 37| 525.0029278| 69|00:00:29|+0.01|0.21|0.9604| -|=| 9| 11| 22| 520.6098777| 76|00:00:15|+0.06|0.21|0.9245| -|=| 1| 11| 43| 518.3033723| 83|00:00:15|+0.11|0.23|0.8846| -|=| 5| 11| 37| 606.0162066| 90|00:00:14|+0.04|0.16|0.9467| -|=| 7| 11| 37| 674.4839341| 97|00:00:15|+0.00|0.11|0.9708| -|=| 6| 11| 37| 657.0892530| 104|00:00:15|+0.02|0.12|0.9492| -|=| 11| 11| 37| 624.6265936| 115|00:00:17|+0.04|0.13|0.9430| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 37 mean value: 624.6265936 -Description of the best-so-far configuration: - .ID. population_size island_size num_migrations crossover_rate .PARENT. -37 37 172 12 8 86 35 - -# 2023-05-15 12:04:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size island_size num_migrations crossover_rate -37 172 12 8 86 -22 67 4 8 94 -35 148 13 7 84 -43 60 3 5 98 -# 2023-05-15 12:04:39 -03: Iteration 4 of 4 -# experimentsUsedSoFar: 338 -# remainingBudget: 162 -# currentBudget: 162 -# nbConfigurations: 17 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 12| 17| 61| 1221.000673| 17|00:00:29| NA| NA| NA| -|x| 1| 17| 61| 860.8464090| 30|00:00:30|-0.43|0.29|1.0118| -|x| 9| 17| 43| 743.1238390| 43|00:00:29|-0.23|0.18|1.0188| -|x| 7| 17| 22| 862.8457870| 56|00:00:30|-0.16|0.13|1.0982| -|=| 3| 17| 22| 750.2766296| 69|00:00:30|-0.04|0.17|0.9442| -|=| 2| 17| 22| 828.9829873| 82|00:00:29|-0.02|0.15|0.8799| -|=| 11| 17| 22| 753.4139891| 95|00:00:30|+0.03|0.17|0.8342| -|=| 6| 17| 22| 721.7786470| 108|00:00:29|+0.04|0.16|0.8449| -|-| 5| 11| 22| 777.8332603| 121|00:00:30|-0.02|0.09|0.9294| -|=| 4| 11| 37| 729.8146001| 128|00:00:16|-0.02|0.08|0.9150| -|=| 10| 11| 37| 708.9689080| 135|00:00:14|-0.02|0.08|0.9005| -|=| 8| 11| 37| 674.8881657| 142|00:00:16|+0.01|0.09|0.8718| -|=| 13| 11| 61| 661.5627873| 153|00:00:15|+0.00|0.08|0.8762| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 61 mean value: 661.5627873 -Description of the best-so-far configuration: - .ID. population_size island_size num_migrations crossover_rate .PARENT. -61 61 189 11 7 88 37 - -# 2023-05-15 12:10:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size island_size num_migrations crossover_rate -61 189 11 7 88 -37 172 12 8 86 -35 148 13 7 84 -22 67 4 8 94 -# 2023-05-15 12:10:12 -03: Stopped because there is not enough budget left to race more than the minimum (4) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 5 -# nbIterations: 5 -# experimentsUsedSoFar: 491 -# timeUsed: 0 -# remainingBudget: 9 -# currentBudget: 9 -# number of elites: 4 -# nbConfigurations: 4 -# Total CPU user time: 7346.491, CPU sys time: 56.975, Wall-clock time: 979.235 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size island_size num_migrations crossover_rate -61 189 11 7 88 -37 172 12 8 86 -35 148 13 7 84 -22 67 4 8 94 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -61 -p189 -i11 -k7 -c88 -37 -p172 -i12 -k8 -c86 -35 -p148 -i13 -k7 -c84 -22 -p67 -i4 -k8 -c94 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-15 12:10:12 -03: No test instances, skip testing diff --git a/src/irace/results/evolucao_mpop_diferencial.dat b/src/irace/results/evolucao_mpop_diferencial.dat deleted file mode 100644 index 0c8f68196..000000000 --- a/src/irace/results/evolucao_mpop_diferencial.dat +++ /dev/null @@ -1,294 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research-main/src/irace/scenario.txt' has been found and will be read. -# 2023-05-29 15:50:19 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 4 -# minNbSurvival: 4 -# nbParameters: 4 -# seed: 302529588 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-29 15:50:19 -03: Iteration 1 of 4 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 125 -# nbConfigurations: 20 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 20| 10| 1252.036831| 20|00:00:23| NA| NA| NA| -|x| 2| 20| 9| 786.0761095| 40|00:00:24|+0.25|0.63|0.6882| -|x| 3| 20| 9| 691.0280067| 60|00:00:22|+0.37|0.58|0.6371| -|x| 4| 20| 9| 643.5136402| 80|00:00:23|+0.26|0.45|0.6996| -|-| 5| 10| 12| 775.2881146| 100|00:00:22|-0.04|0.17|0.9577| -|=| 6| 10| 12| 697.2484723| 110|00:00:12|+0.01|0.18|0.9003| -|=| 7| 10| 12| 641.5143696| 120|00:00:12|+0.07|0.20|0.8398| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 12 mean value: 641.5143696 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -12 12 1324 92 4 0.90307 NA - -# 2023-05-29 15:52:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -12 1324 92 4 0.90307 -9 3725 48 79 0.72803 -6 5196 74 87 0.83052 -10 3248 81 5 0.92221 -# 2023-05-29 15:52:43 -03: Iteration 2 of 4 -# experimentsUsedSoFar: 120 -# remainingBudget: 380 -# currentBudget: 126 -# nbConfigurations: 19 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 19| 31| 1224.989229| 19|00:00:21| NA| NA| NA| -|x| 3| 19| 31| 862.7124860| 34|00:00:21|-0.03|0.49|0.8516| -|x| 2| 19| 31| 677.5396160| 49|00:00:21|+0.17|0.45|0.7791| -|x| 7| 19| 31| 584.8660213| 64|00:00:22|+0.29|0.47|0.6433| -|-| 1| 10| 31| 730.6626386| 79|00:00:20|+0.07|0.26|0.8035| -|=| 5| 10| 35| 823.1694853| 85|00:00:10|+0.13|0.27|0.7405| -|-| 6| 6| 35| 748.9275376| 91|00:00:12|+0.11|0.24|0.7243| -|=| 4| 6| 35| 717.9082816| 93|00:00:09|+0.17|0.28|0.6892| -|-| 9| 2| 31| 689.2996700| 99|00:00:10|-0.11|0.01|0.5556| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 31 mean value: 689.2996700 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -31 31 821 75 12 0.83387 12 - -# 2023-05-29 15:55:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -31 821 75 12 0.83387 -35 1599 80 45 0.96360 -# 2023-05-29 15:55:13 -03: Iteration 3 of 4 -# experimentsUsedSoFar: 219 -# remainingBudget: 281 -# currentBudget: 140 -# nbConfigurations: 15 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 10| 15| 36| 1236.490983| 15|00:00:19| NA| NA| NA| -|x| 4| 15| 40| 879.7050225| 28|00:00:19|+0.30|0.65|0.6870| -|x| 3| 15| 40| 753.3503337| 41|00:00:19|+0.26|0.51|0.6432| -|x| 8| 15| 46| 868.0642313| 54|00:00:20|+0.24|0.43|0.6830| -|-| 1| 8| 46| 945.1506220| 67|00:00:19|+0.01|0.21|0.8628| -|=| 6| 8| 46| 838.6638083| 73|00:00:10|-0.08|0.10|0.9421| -|=| 9| 8| 31| 808.2592509| 79|00:00:09|-0.05|0.10|0.9181| -|=| 2| 8| 31| 745.6260790| 85|00:00:10|-0.08|0.05|0.9358| -|=| 7| 8| 48| 682.4694636| 91|00:00:10|-0.06|0.06|0.9165| -|=| 5| 8| 48| 736.6864424| 97|00:00:09|-0.01|0.09|0.8724| -|=| 11| 8| 41| 722.9097035| 105|00:00:10|-0.01|0.08|0.8565| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 41 mean value: 722.9097035 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -41 41 313 92 28 0.93043 31 - -# 2023-05-29 15:57:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -41 313 92 28 0.93043 -48 147 92 24 0.86262 -31 821 75 12 0.83387 -40 533 74 8 0.90614 -# 2023-05-29 15:57:53 -03: Iteration 4 of 4 -# experimentsUsedSoFar: 324 -# remainingBudget: 176 -# currentBudget: 176 -# nbConfigurations: 18 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 12| 18| 49| 300.2993760| 18|00:00:20| NA| NA| NA| -|x| 3| 18| 41| 401.4880180| 32|00:00:19|-0.24|0.38|1.2319| -|x| 4| 18| 61| 435.6637820| 46|00:00:20|-0.12|0.25|1.0434| -|x| 7| 18| 60| 401.1870345| 60|00:00:20|+0.00|0.25|0.9575| -|=| 8| 18| 60| 566.3258768| 74|00:00:19|+0.10|0.28|0.8433| -|-| 5| 11| 60| 677.0516508| 88|00:00:19|-0.01|0.16|0.8764| -|=| 1| 11| 49| 756.1250584| 95|00:00:09|+0.00|0.15|0.8982| -|=| 11| 11| 41| 725.1271450| 102|00:00:10|-0.05|0.08|0.9425| -|=| 9| 11| 41| 700.1675972| 109|00:00:09|-0.04|0.07|0.9364| -|=| 6| 11| 41| 660.2884487| 116|00:00:10|-0.02|0.08|0.9244| -|=| 2| 11| 41| 627.7314611| 123|00:00:09|+0.02|0.10|0.8999| -|=| 10| 11| 49| 676.5236475| 130|00:00:09|+0.03|0.11|0.9018| -|=| 13| 11| 49| 647.5658124| 141|00:00:10|+0.07|0.14|0.8700| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 49 mean value: 647.5658124 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -49 49 218 98 34 0.91205 41 - -# 2023-05-29 16:01:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -49 218 98 34 0.91205 -60 304 96 22 0.88043 -57 527 94 33 0.92210 -41 313 92 28 0.93043 -# 2023-05-29 16:01:03 -03: Iteration 5 of 5 -# experimentsUsedSoFar: 465 -# remainingBudget: 35 -# currentBudget: 35 -# nbConfigurations: 6 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 14| 6| 63| 500.4371910| 6|00:00:10| NA| NA| NA| -|x| 1| 6| 49| 863.2342970| 8|00:00:09|-0.43|0.29|1.2695| -|x| 10| 6| 49| 983.2941897| 10|00:00:10|+0.12|0.42|0.8684| -|x| 13| 6| 49| 812.4885900| 12|00:00:10|+0.25|0.44|0.7930| -|-| 2| 4| 49| 709.9974388| 14|00:00:09|+0.40|0.52|0.5105| -|.| 11| 4| 49| 675.1232093| 14|00:00:00|+0.13|0.28|0.6818| -|.| 12| 4| 49| 621.5769474| 14|00:00:00|+0.23|0.34|0.6110| -|.| 8| 4| 49| 697.2198629| 14|00:00:00|+0.26|0.36|0.6527| -|.| 4| 4| 49| 675.4211330| 14|00:00:00|+0.26|0.34|0.6805| -|.| 3| 4| 49| 657.9929924| 14|00:00:00|+0.10|0.19|0.7562| -|.| 6| 4| 49| 625.4674841| 14|00:00:00|+0.13|0.21|0.7261| -|.| 5| 4| 49| 676.4696486| 14|00:00:00|+0.08|0.15|0.7397| -|.| 7| 4| 49| 647.5445057| 14|00:00:00|+0.11|0.18|0.7081| -|.| 9| 4| 49| 637.0768331| 14|00:00:00|+0.04|0.11|0.7503| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 49 mean value: 637.0768331 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -49 49 218 98 34 0.91205 41 - -# 2023-05-29 16:01:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -49 218 98 34 0.91205 -60 304 96 22 0.88043 -57 527 94 33 0.92210 -41 313 92 28 0.93043 -# 2023-05-29 16:01:53 -03: Iteration 6 of 6 -# experimentsUsedSoFar: 479 -# remainingBudget: 21 -# currentBudget: 21 -# nbConfigurations: 5 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 15| 5| 49| 1223.602828| 5|00:00:09| NA| NA| NA| -|x| 14| 5| 65| 862.2235150| 6|00:00:09|+0.70|0.85|0.1930| -|x| 8| 5| 49| 983.6810670| 7|00:00:10|+0.27|0.51|0.8034| -|x| 10| 5| 49| 1043.614294| 8|00:00:09|+0.42|0.56|0.6317| -|=| 11| 5| 49| 935.0418476| 9|00:00:09|+0.02|0.22|0.8823| -|=| 2| 5| 49| 829.2070120| 10|00:00:10|+0.10|0.25|0.7993| -|=| 9| 5| 49| 782.3198801| 11|00:00:09|-0.06|0.09|0.8707| -|=| 7| 5| 49| 722.0852440| 12|00:00:10|+0.00|0.12|0.8339| -|=| 6| 5| 49| 675.2104837| 13|00:00:09|+0.04|0.15|0.7976| -|=| 1| 5| 49| 730.2642845| 14|00:00:10|+0.06|0.16|0.7775| -|=| 4| 5| 49| 709.4249217| 15|00:00:09|+0.07|0.15|0.7888| -|=| 5| 5| 49| 753.4306331| 16|00:00:10|+0.05|0.13|0.7973| -|=| 12| 5| 49| 718.5743825| 17|00:00:09|+0.07|0.14|0.7751| -|=| 3| 5| 49| 703.0433357| 18|00:00:09|+0.01|0.08|0.8130| -|=| 13| 5| 49| 676.1785661| 19|00:00:10|+0.03|0.09|0.7988| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 49 mean value: 676.1785661 -Description of the best-so-far configuration: - .ID. population_size crossover_rate mutation_rate F_differencial .PARENT. -49 49 218 98 34 0.91205 41 - -# 2023-05-29 16:04:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -49 218 98 34 0.91205 -65 142 94 42 0.93283 -60 304 96 22 0.88043 -57 527 94 33 0.92210 -# 2023-05-29 16:04:23 -03: Stopped because there is not enough budget left to race more than the minimum (4) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 7 -# nbIterations: 7 -# experimentsUsedSoFar: 498 -# timeUsed: 0 -# remainingBudget: 2 -# currentBudget: 2 -# number of elites: 4 -# nbConfigurations: 3 -# Total CPU user time: 5074.594, CPU sys time: 25.969, Wall-clock time: 843.048 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size crossover_rate mutation_rate F_differencial -49 218 98 34 0.91205 -65 142 94 42 0.93283 -60 304 96 22 0.88043 -57 527 94 33 0.92210 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -49 -p218 -c98 -m34 -F0.91205 -65 -p142 -c94 -m42 -F0.93283 -60 -p304 -c96 -m22 -F0.88043 -57 -p527 -c94 -m33 -F0.9221 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-29 16:04:23 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/evolucao_simples.dat b/src/irace/results/evolucao_simples.dat deleted file mode 100644 index b5beb1d61..000000000 --- a/src/irace/results/evolucao_simples.dat +++ /dev/null @@ -1,203 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research-main/src/irace/scenario.txt' has been found and will be read. -# 2023-05-29 16:08:46 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 3 -# seed: 1997453169 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-29 16:08:46 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 5| 1249.919868| 27|00:00:31| NA| NA| NA| -|x| 2| 27| 8| 779.8823705| 54|00:00:34|+0.36|0.68|0.6426| -|x| 3| 27| 23| 686.7967800| 81|00:00:32|+0.31|0.54|0.6389| -|x| 4| 27| 23| 640.3182108| 108|00:00:32|+0.22|0.42|0.7355| -|-| 5| 6| 23| 760.7445914| 135|00:00:32|+0.04|0.23|0.8494| -|=| 6| 6| 23| 685.0220678| 141|00:00:12|+0.06|0.21|0.8108| -|=| 7| 6| 23| 630.8266390| 147|00:00:12|+0.12|0.24|0.7357| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 23 mean value: 630.8266390 -Description of the best-so-far configuration: - .ID. population_size mutation_rate crossover_rate .PARENT. -23 23 249 84 46 NA - -# 2023-05-29 16:11:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate crossover_rate -23 249 84 46 -8 329 25 14 -19 2344 61 91 -# 2023-05-29 16:11:55 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 147 -# remainingBudget: 353 -# currentBudget: 176 -# nbConfigurations: 24 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 24| 47| 500.6071750| 24|00:00:20| NA| NA| NA| -|x| 6| 24| 19| 403.3684115| 45|00:00:20|+0.32|0.66|0.6004| -|x| 1| 24| 8| 686.7543790| 66|00:00:20|+0.28|0.52|0.7149| -|x| 7| 24| 40| 593.0105605| 87|00:00:20|+0.33|0.50|0.6476| -|-| 5| 10| 42| 723.1677612| 108|00:00:20|-0.04|0.17|0.9297| -|=| 4| 10| 8| 686.8607255| 115|00:00:09|-0.03|0.14|0.9069| -|=| 2| 10| 34| 638.3032699| 122|00:00:10|+0.01|0.15|0.8653| -|=| 3| 10| 42| 615.2101235| 129|00:00:09|+0.04|0.16|0.8597| -|=| 9| 10| 42| 685.3249542| 139|00:00:09|+0.05|0.16|0.8318| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 42 mean value: 685.3249542 -Description of the best-so-far configuration: - .ID. population_size mutation_rate crossover_rate .PARENT. -42 42 82 82 67 23 - -# 2023-05-29 16:14:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate crossover_rate -42 82 82 67 -34 307 60 59 -23 249 84 46 -# 2023-05-29 16:14:17 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 286 -# remainingBudget: 214 -# currentBudget: 214 -# nbConfigurations: 24 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 10| 24| 65| 1239.086613| 24|00:00:19| NA| NA| NA| -|x| 2| 24| 65| 772.1383660| 45|00:00:20|+0.54|0.77|0.4086| -|x| 6| 24| 65| 616.4866140| 66|00:00:20|+0.62|0.75|0.3727| -|x| 5| 24| 65| 771.1013350| 87|00:00:19|+0.58|0.69|0.4002| -|-| 9| 8| 65| 863.5096530| 108|00:00:20|+0.20|0.36|0.5932| -|-| 1| 7| 65| 925.7967447| 113|00:00:09|+0.30|0.41|0.5557| -|=| 3| 7| 65| 865.0917219| 117|00:00:09|+0.12|0.24|0.7066| -|=| 7| 7| 65| 795.0180164| 121|00:00:09|+0.15|0.26|0.7160| -|-| 4| 6| 65| 762.2976649| 125|00:00:09|+0.23|0.32|0.6641| -|-| 8| 3| 65| 736.1460552| 128|00:00:09|+0.02|0.12|0.6236| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 65 mean value: 736.1460552 -Description of the best-so-far configuration: - .ID. population_size mutation_rate crossover_rate .PARENT. -65 65 35 72 63 42 - -# 2023-05-29 16:16:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate crossover_rate -65 35 72 63 -53 37 87 75 -61 84 86 53 -# 2023-05-29 16:16:47 -03: Iteration 4 of 4 -# experimentsUsedSoFar: 414 -# remainingBudget: 86 -# currentBudget: 86 -# nbConfigurations: 10 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 11| 10| 72| 500.6540890| 10|00:00:09| NA| NA| NA| -|x| 6| 10| 72| 402.8897050| 17|00:00:10|+0.25|0.62|0.7422| -|x| 8| 10| 75| 435.5149840| 24|00:00:09|+0.13|0.42|0.7825| -|x| 9| 10| 75| 637.3916068| 31|00:00:10|-0.02|0.24|0.9437| -|=| 5| 10| 75| 758.3645680| 38|00:00:09|+0.11|0.29|0.8339| -|=| 1| 10| 76| 835.6963272| 45|00:00:10|+0.08|0.23|0.8083| -|=| 2| 10| 65| 759.6530324| 52|00:00:09|+0.14|0.27|0.7439| -|-| 3| 8| 75| 730.7526183| 59|00:00:09|-0.03|0.10|0.9232| -|=| 10| 8| 75| 786.8626180| 64|00:00:10|+0.01|0.12|0.8990| -|=| 4| 8| 75| 758.2413053| 69|00:00:09|+0.06|0.16|0.8565| -|=| 7| 8| 65| 714.7778505| 74|00:00:10|+0.09|0.17|0.8278| -|-| 12| 5| 75| 682.7364089| 82|00:00:10|-0.05|0.04|0.8397| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 65 mean value: 680.6779482 -Description of the best-so-far configuration: - .ID. population_size mutation_rate crossover_rate .PARENT. -65 65 35 72 63 42 - -# 2023-05-29 16:18:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate crossover_rate -65 35 72 63 -75 54 81 57 -61 84 86 53 -# 2023-05-29 16:18:47 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 5 -# nbIterations: 5 -# experimentsUsedSoFar: 496 -# timeUsed: 0 -# remainingBudget: 4 -# currentBudget: 4 -# number of elites: 3 -# nbConfigurations: 3 -# Total CPU user time: 4979.039, CPU sys time: 29.939, Wall-clock time: 600.244 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate crossover_rate -65 35 72 63 -75 54 81 57 -61 84 86 53 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -65 -p35 -m72 -c63 -75 -p54 -m81 -c57 -61 -p84 -m86 -c53 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-29 16:18:47 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/evolucao_simples_island_3Parametros.dat b/src/irace/results/evolucao_simples_island_3Parametros.dat deleted file mode 100644 index b1b58dc23..000000000 --- a/src/irace/results/evolucao_simples_island_3Parametros.dat +++ /dev/null @@ -1,159 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /home/vinicius/R/x86_64-pc-linux-gnu-library/4.1/irace -# called with: -== irace == WARNING: A default scenario file '/home/vinicius/Documentos/Iniciação-cientifica/Main/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-31 21:24:47 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 3 -# seed: 1716345804 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-31 21:24:47 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 6| 501.0329150| 27|00:00:48| NA| NA| NA| -|x| 2| 27| 26| 5142.550186| 54|00:00:44|+0.47|0.73|0.6657| -|x| 3| 27| 26| 3863.198272| 81|00:00:44|-0.08|0.28|1.0835| -|x| 4| 27| 24| 5842.785192| 108|00:00:42|+0.06|0.30|0.9500| -|=| 5| 27| 1| 4110.817564| 135|00:00:47|+0.03|0.22|0.9746| -|=| 6| 27| 25| 2999.569874| 162|00:00:47|+0.04|0.20|0.9438| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 2999.569874 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -25 25 7 14 226 NA - -# 2023-05-31 21:29:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -25 7 14 226 -27 7 7 112 -26 5 9 181 -# 2023-05-31 21:29:22 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 162 -# remainingBudget: 338 -# currentBudget: 169 -# nbConfigurations: 26 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 26| 29| 501.2419430| 26|00:00:49| NA| NA| NA| -|x| 2| 26| 29| 6319.834001| 49|00:00:40|+0.03|0.52|1.1696| -|x| 1| 26| 26| 3595.552203| 72|00:00:45|-0.27|0.15|1.2147| -|x| 5| 26| 26| 2822.038042| 95|00:00:45|-0.12|0.16|1.0148| -|=| 4| 26| 25| 3174.781839| 118|00:00:36|-0.08|0.14|1.0371| -|=| 6| 26| 25| 2855.207636| 141|00:00:35|-0.01|0.16|0.9810| -|=| 3| 26| 25| 2642.735733| 164|00:00:35|-0.06|0.09|1.0281| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 2642.735733 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -25 25 7 14 226 NA - -# 2023-05-31 21:34:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -25 7 14 226 -27 7 7 112 -26 5 9 181 -# 2023-05-31 21:34:10 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 326 -# remainingBudget: 174 -# currentBudget: 174 -# nbConfigurations: 24 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 24| 53| 1283.308103| 24|00:00:35| NA| NA| NA| -|x| 5| 24| 55| 893.8852695| 45|00:00:41|-0.61|0.20|1.0138| -|x| 4| 24| 25| 3735.320908| 66|00:00:34|-0.09|0.27|0.8034| -|x| 7| 24| 70| 2621.782622| 87|00:00:41|-0.05|0.21|0.8242| -|=| 1| 24| 53| 2521.239456| 108|00:00:44|+0.02|0.21|0.7768| -|=| 3| 24| 53| 2317.638103| 129|00:00:37|+0.04|0.20|0.8192| -|=| 6| 24| 53| 2186.541156| 150|00:00:34|-0.02|0.12|0.9132| -|=| 2| 24| 25| 2476.602171| 171|00:00:33|+0.01|0.13|0.9113| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 25 mean value: 2476.602171 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -25 25 7 14 226 NA - -# 2023-05-31 21:39:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -25 7 14 226 -27 7 7 112 -71 7 8 93 -# 2023-05-31 21:39:12 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 4 -# nbIterations: 4 -# experimentsUsedSoFar: 497 -# timeUsed: 0 -# remainingBudget: 3 -# currentBudget: 3 -# number of elites: 3 -# nbConfigurations: 3 -# Total CPU user time: 5336.86, CPU sys time: 38.059, Wall-clock time: 864.396 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -25 7 14 226 -27 7 7 112 -71 7 8 93 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -25 -i7 -k14 -g226 -27 -i7 -k7 -g112 -71 -i7 -k8 -g93 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-31 21:39:12 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/evolucao_simples_num_g.dat b/src/irace/results/evolucao_simples_num_g.dat deleted file mode 100644 index f9471e244..000000000 --- a/src/irace/results/evolucao_simples_num_g.dat +++ /dev/null @@ -1,159 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /usr/local/lib/R/site-library/irace -# called with: -== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-30 17:15:25 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 3 -# seed: 1086470137 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-30 17:15:25 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 26| 1229.154907| 27|00:00:39| NA| NA| NA| -|x| 2| 27| 26| 864.9371775| 54|00:00:39|+0.11|0.55|0.9159| -|x| 3| 27| 27| 679.7622683| 81|00:00:39|-0.04|0.30|0.9626| -|x| 4| 27| 15| 635.2393170| 108|00:00:40|+0.06|0.30|0.8512| -|=| 5| 27| 27| 755.9907974| 135|00:00:40|+0.04|0.23|0.8997| -|=| 6| 27| 27| 680.6900538| 162|00:00:39|+0.02|0.19|0.9460| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 27 mean value: 680.6900538 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -27 27 8 15 7534 NA - -# 2023-05-30 17:19:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -27 8 15 7534 -15 10 22 3234 -26 5 14 6877 -# 2023-05-30 17:19:25 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 162 -# remainingBudget: 338 -# currentBudget: 169 -# nbConfigurations: 26 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 26| 35| 500.6223720| 26|00:00:39| NA| NA| NA| -|x| 6| 26| 31| 402.7433235| 49|00:00:29|-0.04|0.48|0.9746| -|x| 3| 26| 31| 370.0240827| 72|00:00:29|-0.14|0.24|1.1822| -|x| 4| 26| 27| 402.6380343| 95|00:00:30|-0.20|0.10|1.1669| -|=| 2| 26| 27| 422.2542072| 118|00:00:29|-0.05|0.16|1.0184| -|=| 1| 26| 27| 557.5422235| 141|00:00:30|+0.01|0.18|0.9829| -|=| 5| 26| 27| 655.0236471| 164|00:00:29|+0.02|0.16|0.9648| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 27 mean value: 655.0236471 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -27 27 8 15 7534 NA - -# 2023-05-30 17:23:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -27 8 15 7534 -26 5 14 6877 -31 8 11 5437 -# 2023-05-30 17:23:05 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 326 -# remainingBudget: 174 -# currentBudget: 174 -# nbConfigurations: 24 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 24| 59| 1228.646584| 24|00:00:29| NA| NA| NA| -|x| 6| 24| 57| 767.5626900| 45|00:00:29|-0.06|0.47|1.0067| -|x| 4| 24| 57| 678.6267910| 66|00:00:30|-0.07|0.29|1.0886| -|x| 3| 24| 27| 587.7626445| 87|00:00:29|-0.00|0.25|0.9986| -|=| 2| 24| 27| 570.3538954| 108|00:00:30|+0.01|0.20|0.9813| -|=| 7| 24| 57| 557.1380130| 129|00:00:30|+0.01|0.17|0.9818| -|=| 1| 24| 27| 655.2538556| 150|00:00:30|-0.00|0.14|0.9955| -|=| 5| 24| 27| 728.3361472| 171|00:00:29|+0.01|0.13|0.9867| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 27 mean value: 728.3361472 -Description of the best-so-far configuration: - .ID. num_ilhas num_migrations num_generations .PARENT. -27 27 8 15 7534 NA - -# 2023-05-30 17:27:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -27 8 15 7534 -26 5 14 6877 -31 8 11 5437 -# 2023-05-30 17:27:05 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 4 -# nbIterations: 4 -# experimentsUsedSoFar: 497 -# timeUsed: 0 -# remainingBudget: 3 -# currentBudget: 3 -# number of elites: 3 -# nbConfigurations: 3 -# Total CPU user time: 4910.911, CPU sys time: 51.017, Wall-clock time: 699.362 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - num_ilhas num_migrations num_generations -27 8 15 7534 -26 5 14 6877 -31 8 11 5437 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -27 -i8 -k15 -g7534 -26 -i5 -k14 -g6877 -31 -i8 -k11 -g5437 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-30 17:27:05 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/evolucao_simples_resum.dat b/src/irace/results/evolucao_simples_resum.dat deleted file mode 100644 index 7a363c7be..000000000 --- a/src/irace/results/evolucao_simples_resum.dat +++ /dev/null @@ -1,162 +0,0 @@ -#------------------------------------------------------------------------------ -# irace: An implementation in R of (Elitist) Iterated Racing -# Version: 3.5.6863679 -# Copyright (C) 2010-2020 -# Manuel Lopez-Ibanez -# Jeremie Dubois-Lacoste -# Leslie Perez Caceres -# -# This is free software, and you are welcome to redistribute it under certain -# conditions. See the GNU General Public License for details. There is NO -# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -# -# irace builds upon previous code from the race package: -# race: Racing methods for the selection of the best -# Copyright (C) 2003 Mauro Birattari -#------------------------------------------------------------------------------ -# installed at: /home/vinicius/R/x86_64-pc-linux-gnu-library/4.1/irace -# called with: -== irace == WARNING: A default scenario file '/home/vinicius/Documentos/Iniciação-cientifica/Main/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. -# 2023-05-31 21:06:45 -03: Initialization -# Elitist race -# Elitist new instances: 1 -# Elitist limit: 2 -# nbIterations: 3 -# minNbSurvival: 3 -# nbParameters: 2 -# seed: 1857856017 -# confidence level: 0.95 -# budget: 500 -# mu: 5 -# deterministic: FALSE - -# 2023-05-31 21:06:45 -03: Iteration 1 of 3 -# experimentsUsedSoFar: 0 -# remainingBudget: 500 -# currentBudget: 166 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 1| 27| 1| 1263.375206| 27|00:00:44| NA| NA| NA| -|x| 2| 27| 4| 4506.352733| 54|00:00:46|+0.19|0.59|0.5386| -|x| 3| 27| 4| 3171.218383| 81|00:00:46|+0.16|0.44|0.6802| -|x| 4| 27| 4| 2503.764747| 108|00:00:44|+0.17|0.38|0.6958| -|-| 5| 21| 4| 2270.209097| 135|00:00:44|-0.12|0.11|1.0419| -|=| 6| 21| 2| 3557.767607| 156|00:00:35|-0.04|0.13|0.9642| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 2 mean value: 3557.767607 -Description of the best-so-far configuration: - .ID. population_size mutation_rate .PARENT. -2 2 4777 25 NA - -# 2023-05-31 21:11:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate -2 4777 25 -4 1702 3 -24 2248 51 -# 2023-05-31 21:11:06 -03: Iteration 2 of 3 -# experimentsUsedSoFar: 156 -# remainingBudget: 344 -# currentBudget: 172 -# nbConfigurations: 27 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 7| 27| 40| 6461.240693| 27|00:00:40| NA| NA| NA| -|x| 2| 27| 4| 8106.575046| 51|00:00:33|+0.17|0.58|0.4220| -|x| 4| 27| 24| 5980.944549| 75|00:00:36|+0.18|0.45|0.6429| -|x| 3| 27| 29| 4545.639756| 99|00:00:34|+0.16|0.37|0.7366| -|=| 6| 27| 29| 5841.182327| 123|00:00:32|+0.09|0.27|0.7957| -|-| 5| 20| 29| 5092.798557| 147|00:00:33|-0.04|0.13|0.9716| -|=| 1| 20| 24| 4187.451438| 164|00:00:30|-0.01|0.13|0.9485| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 24 mean value: 4187.451438 -Description of the best-so-far configuration: - .ID. population_size mutation_rate .PARENT. -24 24 2248 51 NA - -# 2023-05-31 21:15:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate -24 2248 51 -2 4777 25 -4 1702 3 -# 2023-05-31 21:15:08 -03: Iteration 3 of 3 -# experimentsUsedSoFar: 320 -# remainingBudget: 180 -# currentBudget: 180 -# nbConfigurations: 25 -# Markers: - x No test is performed. - c Configurations are discarded only due to capping. - - The test is performed and some configurations are discarded. - = The test is performed but no configuration is discarded. - ! The test is performed and configurations could be discarded but elite configurations are preserved. - . All alive configurations are elite and nothing is discarded - -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -|x| 8| 25| 73| 500.2939800| 25|00:00:39| NA| NA| NA| -|x| 6| 25| 58| 2654.552123| 47|00:00:31|+0.21|0.60|0.8200| -|x| 5| 25| 2| 2279.032745| 69|00:00:31|+0.10|0.40|0.8556| -|x| 4| 25| 65| 2590.287779| 91|00:00:30|+0.10|0.32|0.9000| -|=| 3| 25| 2| 1567.899546| 113|00:00:31|+0.04|0.23|0.9365| -|=| 2| 25| 65| 3055.007271| 135|00:00:31|+0.03|0.19|0.9501| -|=| 7| 25| 65| 3889.479298| 157|00:00:31|+0.06|0.20|0.9206| -|=| 1| 25| 2| 3764.125688| 179|00:00:31|+0.07|0.19|0.9174| -+-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ -Best-so-far configuration: 2 mean value: 3764.125688 -Description of the best-so-far configuration: - .ID. population_size mutation_rate .PARENT. -2 2 4777 25 NA - -# 2023-05-31 21:19:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate -2 4777 25 -65 2254 55 -69 2343 50 -# 2023-05-31 21:19:28 -03: Stopped because there is not enough budget left to race more than the minimum (3) -# You may either increase the budget or set 'minNbSurvival' to a lower value -# Iteration: 4 -# nbIterations: 4 -# experimentsUsedSoFar: 499 -# timeUsed: 0 -# remainingBudget: 1 -# currentBudget: 1 -# number of elites: 3 -# nbConfigurations: 2 -# Total CPU user time: 5105.344, CPU sys time: 31.961, Wall-clock time: 762.906 -# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): - population_size mutation_rate -2 4777 25 -65 2254 55 -69 2343 50 -# Best configurations as commandlines (first number is the configuration ID; same order as above): -2 -p4777 -m25 -65 -p2254 -m55 -69 -p2343 -m50 - - -# Testing of elite configurations: 1 -# Testing iteration configurations: FALSE -# 2023-05-31 21:19:28 -03: No test instances, skip testing -Warning message: -In readLines(con = file) : - linha final incompleta encontrada em '/home/vinicius/Documentos/Iniciação-cientifica/Main/heuristic-scientific-research/src/irace/parameters-evol_simples.txt' \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-10.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-10.txt new file mode 100644 index 000000000..bffaa6fb7 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-10.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:40:43 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1344953251 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:40:43 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:09:59| NA| NA| NA| +|x| 2| 16| 2| 400.0091860| 32|00:09:47|+0.00|0.50|0.4688| +|x| 3| 16| 5| 673.7809457| 48|00:08:01|+0.20|0.47|0.5362| +|x| 4| 16| 14| 809.2774947| 64|00:07:57|+0.16|0.37|0.6056| +|=| 5| 16| 14| 707.4219958| 80|00:09:59|+0.08|0.26|0.7235| +|-| 6| 10| 13| 673.8898210| 96|00:09:47|-0.05|0.13|0.7659| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 673.8898210 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 9 69 0.50124 82 82 66 23 49 NA + +# 2023-08-29 17:36:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 9 69 0.50124 82 82 66 23 49 +14 10 79 0.61151 16 26 30 20 99 +11 9 55 0.59339 79 83 52 81 42 +2 10 100 0.71439 57 72 90 2 65 +1 6 81 0.10611 69 28 39 88 38 +# 2023-08-29 17:36:17 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 13| 300.0000000| 18|00:14:59| NA| NA| NA| +|x| 5| 18| 13| 300.0000000| 31|00:10:50|+1.00|1.00|0.0255| +|x| 1| 18| 13| 300.0000000| 44|00:10:49|+1.00|1.00|0.1140| +|x| 4| 18| 14| 528.9108045| 57|00:08:30|+0.42|0.56|0.4611| +|-| 2| 14| 23| 524.2182198| 70|00:10:32|-0.03|0.18|0.3882| +|=| 6| 14| 13| 520.2406613| 79|00:08:20|-0.03|0.14|0.5061| +|=| 3| 14| 13| 620.4769894| 88|00:07:32|+0.07|0.20|0.5330| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 620.4769894 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 9 69 0.50124 82 82 66 23 49 NA + +# 2023-08-29 18:47:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 9 69 0.50124 82 82 66 23 49 +29 8 70 0.81550 85 45 30 13 35 +11 9 55 0.59339 79 83 52 81 42 +22 7 105 0.83533 79 86 91 17 39 +2 10 100 0.71439 57 72 90 2 65 +# 2023-08-29 18:47:54 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 40| 1211.781014| 17|00:11:54| NA| NA| NA| +|x| 6| 17| 29| 860.4758785| 29|00:08:15|-0.11|0.44|0.8884| +|x| 4| 17| 38| 974.7866087| 41|00:07:08|-0.06|0.29|0.8356| +|x| 2| 17| 38| 856.0920370| 53|00:08:15|-0.09|0.18|0.8649| +|=| 7| 17| 38| 744.8736296| 65|00:08:20|-0.04|0.17|0.8616| +|=| 1| 17| 38| 670.7280247| 77|00:08:19|-0.03|0.14|0.7313| +|=| 5| 17| 38| 617.7668783| 89|00:08:20|-0.03|0.12|0.6344| +|=| 3| 17| 38| 693.2564348| 101|00:07:12|+0.03|0.15|0.6377| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 693.2564348 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 9 68 0.2629 77 78 98 5 21 13 + +# 2023-08-29 19:55:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 9 68 0.26290 77 78 98 5 21 +29 8 70 0.81550 85 45 30 13 35 +40 10 84 0.73277 69 61 27 32 53 +11 9 55 0.59339 79 83 52 81 42 +22 7 105 0.83533 79 86 91 17 39 +# 2023-08-29 19:55:41 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 11| 500.0264030| 16|00:13:59| NA| NA| NA| +|x| 3| 16| 11| 860.6664175| 27|00:07:25|+0.24|0.62|0.9598| +|x| 4| 16| 47| 974.5520520| 38|00:07:27|-0.00|0.33|0.9874| +|x| 5| 16| 47| 805.9140390| 49|00:08:19|-0.02|0.23|1.0207| +|=| 2| 16| 38| 744.7361072| 60|00:08:16|-0.06|0.15|0.9958| +|=| 8| 16| 47| 821.9228837| 71|00:07:31|+0.02|0.18|0.9391| +|=| 7| 16| 47| 747.3624717| 82|00:08:19|+0.02|0.16|0.8961| +|=| 1| 16| 47| 691.4421627| 93|00:08:20|+0.04|0.16|0.8411| +|=| 6| 16| 38| 671.7893530| 104|00:08:17|+0.04|0.15|0.8802| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 671.7893530 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 9 68 0.2629 77 78 98 5 21 13 + +# 2023-08-29 21:13:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 9 68 0.26290 77 78 98 5 21 +29 8 70 0.81550 85 45 30 13 35 +47 7 104 0.84148 77 92 89 8 13 +22 7 105 0.83533 79 86 91 17 39 +11 9 55 0.59339 79 83 52 81 42 +# 2023-08-29 21:13:39 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 57| 500.0196690| 15|00:11:27| NA| NA| NA| +|x| 5| 15| 57| 400.0098345| 25|00:08:19|-0.18|0.41|1.2218| +|x| 3| 15| 57| 673.8205607| 35|00:06:41|-0.18|0.22|1.2468| +|x| 7| 15| 57| 580.3654205| 45|00:08:19|-0.14|0.15|1.1376| +|=| 8| 15| 61| 705.6743466| 55|00:06:39|-0.05|0.16|1.0321| +|=| 6| 15| 61| 671.3970858| 65|00:08:12|+0.02|0.18|0.9780| +|=| 9| 15| 61| 646.9236431| 75|00:08:11|+0.04|0.18|0.9440| +|=| 4| 15| 29| 720.4477558| 85|00:06:41|+0.07|0.19|0.9256| +|=| 2| 15| 29| 695.9591340| 95|00:08:13|+0.03|0.14|0.9357| +|=| 1| 15| 29| 656.3632206| 105|00:08:19|+0.03|0.13|0.9123| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 656.3632206 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 8 70 0.8155 85 45 30 13 35 11 + +# 2023-08-29 22:34:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 8 70 0.81550 85 45 30 13 35 +56 8 88 0.65690 88 1 37 18 16 +22 7 105 0.83533 79 86 91 17 39 +47 7 104 0.84148 77 92 89 8 13 +57 8 64 0.68860 89 52 35 13 40 +# 2023-08-29 22:34:46 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 179727.6, CPU sys time: 17.235, Wall-clock time: 21242.24 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 8 70 0.81550 85 45 30 13 35 +56 8 88 0.65690 88 1 37 18 16 +22 7 105 0.83533 79 86 91 17 39 +47 7 104 0.84148 77 92 89 8 13 +57 8 64 0.68860 89 52 35 13 40 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +29 -K8 -k70 -M0.8155 -Q85 -G45 -D30 -O13 -L35 +56 -K8 -k88 -M0.6569 -Q88 -G1 -D37 -O18 -L16 +22 -K7 -k105 -M0.83533 -Q79 -G86 -D91 -O17 -L39 +47 -K7 -k104 -M0.84148 -Q77 -G92 -D89 -O8 -L13 +57 -K8 -k64 -M0.6886 -Q89 -G52 -D35 -O13 -L40 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-29 22:34:46 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-11.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-11.txt new file mode 100644 index 000000000..96f05d60a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-11.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 09:53:36 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1939722333 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 09:53:36 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 500.0083110| 16|00:09:03| NA| NA| NA| +|x| 2| 16| 14| 400.0041555| 32|00:09:10|+0.15|0.58|1.1072| +|x| 3| 16| 3| 673.9188410| 48|00:08:41|+0.29|0.53|0.7194| +|x| 4| 16| 3| 580.4391308| 64|00:09:09|+0.35|0.51|0.6681| +|-| 5| 8| 2| 564.7047642| 80|00:09:04|-0.02|0.18|0.5243| +|=| 6| 8| 14| 671.3150958| 88|00:08:34|-0.02|0.15|0.6037| +|=| 7| 8| 2| 752.3972626| 96|00:08:32|+0.01|0.15|0.5906| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 752.3972626 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 7 64 0.45026 99 42 91 12 64 NA + +# 2023-09-02 10:55:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 7 64 0.45026 99 42 91 12 64 +14 9 51 0.48816 29 11 80 64 12 +13 4 29 0.49111 70 61 78 51 57 +10 4 25 0.85512 64 80 42 6 3 +3 8 35 0.32490 89 57 35 41 60 +# 2023-09-02 10:55:52 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 2| 500.0049340| 17|00:10:44| NA| NA| NA| +|x| 7| 17| 25| 860.5740835| 29|00:07:06|+0.18|0.59|0.7747| +|x| 5| 17| 2| 740.5966443| 41|00:08:47|+0.30|0.54|0.7383| +|x| 2| 17| 2| 630.4474833| 53|00:09:09|+0.18|0.38|0.8749| +|=| 6| 17| 14| 745.0130734| 65|00:07:16|+0.15|0.32|0.8887| +|-| 4| 12| 14| 670.8442278| 77|00:09:09|+0.08|0.23|0.5767| +|=| 3| 12| 2| 752.3957679| 84|00:05:26|+0.03|0.17|0.6088| +|=| 1| 12| 2| 720.8482215| 91|00:07:06|+0.07|0.19|0.6294| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 720.8482215 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 7 64 0.45026 99 42 91 12 64 NA + +# 2023-09-02 12:00:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 7 64 0.45026 99 42 91 12 64 +14 9 51 0.48816 29 11 80 64 12 +25 4 28 0.39284 64 75 80 40 49 +24 4 60 0.79780 41 54 81 12 29 +23 7 58 0.54062 89 25 87 14 69 +# 2023-09-02 12:00:39 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 2| 300.0000000| 16|00:11:55| NA| NA| NA| +|x| 2| 16| 2| 300.0000000| 27|00:09:10|+1.00|1.00|0.0000| +|x| 4| 16| 2| 300.0000000| 38|00:09:09|+1.00|1.00|0.0000| +|x| 3| 16| 32| 525.5000822| 49|00:07:21|+0.00|0.25|0.2344| +|=| 8| 16| 32| 520.4136976| 60|00:08:53|-0.06|0.15|0.3715| +|=| 5| 16| 32| 517.0219648| 71|00:08:52|-0.00|0.17|0.4290| +|=| 6| 16| 34| 617.7130707| 82|00:07:19|+0.03|0.17|0.4938| +|=| 1| 16| 14| 603.4945524| 93|00:08:53|+0.07|0.18|0.5340| +|-| 7| 11| 34| 670.5102774| 104|00:07:19|-0.05|0.07|0.6313| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 670.5102774 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 94 0.46953 54 29 87 18 0 14 + +# 2023-09-02 13:19:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 94 0.46953 54 29 87 18 0 +14 9 51 0.48816 29 11 80 64 12 +31 6 55 0.30765 73 93 90 28 58 +2 7 64 0.45026 99 42 91 12 64 +25 4 28 0.39284 64 75 80 40 49 +# 2023-09-02 13:19:35 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 291 +# remainingBudget: 209 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 40| 1202.858941| 14|00:11:12| NA| NA| NA| +|x| 9| 14| 40| 751.4294705| 23|00:09:09|+0.00|0.50|0.4643| +|x| 5| 14| 31| 667.6710877| 32|00:09:07|+0.07|0.38|0.5066| +|x| 7| 14| 31| 802.2256790| 41|00:08:14|+0.28|0.46|0.4966| +|-| 3| 7| 31| 885.9085788| 50|00:08:12|+0.16|0.33|0.6490| +|=| 6| 7| 31| 941.8756475| 52|00:06:01|+0.06|0.22|0.7369| +|=| 1| 7| 34| 877.3527653| 54|00:07:42|+0.02|0.16|0.7603| +|=| 2| 7| 34| 805.1836696| 56|00:08:14|+0.02|0.14|0.6621| +|=| 4| 7| 34| 749.0521508| 58|00:08:14|+0.02|0.13|0.5864| +|=| 8| 7| 34| 724.1545114| 60|00:07:42|-0.05|0.05|0.6464| +|=| 11| 7| 34| 703.7804813| 67|00:08:10|-0.05|0.04|0.6642| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 703.7804813 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 94 0.46953 54 29 87 18 0 14 + +# 2023-09-02 14:51:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 94 0.46953 54 29 87 18 0 +31 6 55 0.30765 73 93 90 28 58 +42 9 92 0.71089 50 45 57 0 25 +25 4 28 0.39284 64 75 80 40 49 +2 7 64 0.45026 99 42 91 12 64 +# 2023-09-02 14:51:39 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 358 +# remainingBudget: 142 +# currentBudget: 142 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 16| 34| 300.0000000| 16|00:11:00| NA| NA| NA| +|x| 8| 16| 2| 400.0024670| 27|00:07:19|+0.00|0.50|0.4688| +|x| 9| 16| 2| 366.6683113| 38|00:07:20|+0.00|0.33|0.3125| +|x| 10| 16| 53| 575.7205253| 49|00:06:13|+0.03|0.27|0.4436| +|=| 7| 16| 25| 705.4223104| 60|00:06:11|+0.08|0.27|0.5610| +|=| 6| 16| 53| 791.0116903| 71|00:06:18|+0.11|0.26|0.5901| +|=| 11| 16| 34| 748.3823780| 82|00:07:20|+0.11|0.23|0.6245| +|=| 4| 16| 34| 692.3345807| 93|00:07:20|+0.09|0.21|0.5521| +|=| 3| 16| 34| 749.0563152| 104|00:06:10|+0.08|0.18|0.5956| +|-| 5| 8| 34| 724.1576816| 115|00:07:19|-0.03|0.07|0.6203| +|=| 1| 8| 34| 703.7804813| 118|00:07:03|-0.01|0.08|0.6345| +|=| 2| 8| 34| 670.1321078| 121|00:07:20|-0.01|0.07|0.5818| +|=| 13| 8| 34| 657.0494365| 129|00:08:11|+0.01|0.09|0.5856| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 657.0494365 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 94 0.46953 54 29 87 18 0 14 + +# 2023-09-02 16:26:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 94 0.46953 54 29 87 18 0 +31 6 55 0.30765 73 93 90 28 58 +53 8 62 0.44208 59 23 75 20 13 +42 9 92 0.71089 50 45 57 0 25 +25 4 28 0.39284 64 75 80 40 49 +# 2023-09-02 16:26:48 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 487 +# timeUsed: 0 +# remainingBudget: 13 +# currentBudget: 13 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 157329.8, CPU sys time: 15.525, Wall-clock time: 23591.82 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 94 0.46953 54 29 87 18 0 +31 6 55 0.30765 73 93 90 28 58 +53 8 62 0.44208 59 23 75 20 13 +42 9 92 0.71089 50 45 57 0 25 +25 4 28 0.39284 64 75 80 40 49 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +34 -K9 -k94 -M0.46953 -Q54 -G29 -D87 -O18 -L0 +31 -K6 -k55 -M0.30765 -Q73 -G93 -D90 -O28 -L58 +53 -K8 -k62 -M0.44208 -Q59 -G23 -D75 -O20 -L13 +42 -K9 -k92 -M0.71089 -Q50 -G45 -D57 -O0 -L25 +25 -K4 -k28 -M0.39284 -Q64 -G75 -D80 -O40 -L49 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 16:26:48 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-12.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-12.txt new file mode 100644 index 000000000..4cb1d5c9a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-12.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:39:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1354915713 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:39:15 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 7| 500.0292720| 16|00:12:27| NA| NA| NA| +|x| 2| 16| 12| 860.7320785| 32|00:09:25|-0.36|0.32|1.1741| +|x| 3| 16| 12| 673.8213857| 48|00:13:00|-0.14|0.24|1.1345| +|x| 4| 16| 12| 580.3660392| 64|00:12:59|+0.01|0.26|0.9885| +|=| 5| 16| 12| 564.3201710| 80|00:12:37|-0.01|0.20|0.9762| +|=| 6| 16| 12| 673.8186517| 96|00:09:31|+0.08|0.23|0.9147| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 673.8186517 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 4 94 0.74527 77 89 76 0 100 NA + +# 2023-08-29 17:49:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 4 94 0.74527 77 89 76 0 100 +15 10 46 0.78108 93 1 99 20 44 +7 4 50 0.83716 44 79 76 28 8 +11 8 79 0.69357 18 65 100 52 34 +4 3 43 0.23922 63 52 14 48 20 +# 2023-08-29 17:49:16 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 27| 1203.485394| 18|00:11:15| NA| NA| NA| +|x| 1| 18| 27| 851.7492880| 31|00:10:43|+0.25|0.63|0.6243| +|x| 5| 18| 27| 734.5072650| 44|00:10:44|+0.46|0.64|0.4590| +|x| 2| 18| 27| 856.0801213| 57|00:08:18|+0.29|0.47|0.6331| +|-| 6| 11| 27| 929.3357590| 70|00:08:26|+0.03|0.22|0.8786| +|=| 3| 11| 27| 824.4464658| 76|00:10:00|+0.06|0.21|0.8568| +|=| 4| 11| 27| 749.5255421| 82|00:10:00|+0.05|0.18|0.7419| +|=| 8| 11| 27| 718.3372185| 93|00:09:45|+0.12|0.23|0.7068| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 718.3372185 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 9 55 0.30822 84 47 92 35 13 15 + +# 2023-08-29 19:08:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 9 55 0.30822 84 47 92 35 13 +19 5 72 0.53705 80 59 96 0 0 +21 5 86 0.90750 89 77 57 9 15 +28 5 61 0.18595 100 89 35 24 100 +7 4 50 0.83716 44 79 76 28 8 +# 2023-08-29 19:08:31 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 189 +# remainingBudget: 311 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 27| 300.0000000| 15|00:13:00| NA| NA| NA| +|x| 3| 15| 27| 300.0000000| 25|00:10:00|+1.00|1.00|0.0000| +|x| 1| 15| 27| 366.6710607| 35|00:09:55|+0.00|0.33|0.3111| +|x| 8| 15| 27| 400.0080337| 45|00:09:55|+0.16|0.37|0.3684| +|=| 7| 15| 27| 560.7035058| 55|00:08:59|+0.14|0.32|0.4705| +|=| 5| 15| 27| 550.5901247| 65|00:09:55|+0.10|0.25|0.5773| +|=| 2| 15| 27| 646.3342054| 75|00:09:00|+0.11|0.24|0.6279| +|-| 6| 9| 27| 718.3372185| 85|00:09:01|-0.03|0.10|0.7139| +|=| 4| 9| 27| 671.8553053| 89|00:09:59|-0.03|0.09|0.6293| +|=| 10| 9| 37| 653.6595491| 98|00:09:54|-0.02|0.08|0.6374| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 653.6595491 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 6 76 0.43635 32 30 61 21 22 19 + +# 2023-08-29 20:48:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 6 76 0.43635 32 30 61 21 22 +27 9 55 0.30822 84 47 92 35 13 +19 5 72 0.53705 80 59 96 0 0 +21 5 86 0.90750 89 77 57 9 15 +38 10 107 0.35149 56 58 82 79 3 +# 2023-08-29 20:48:15 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 45| 1201.153234| 14|00:11:59| NA| NA| NA| +|x| 4| 14| 45| 750.5766170| 23|00:08:59|+0.00|0.50|0.4643| +|x| 9| 14| 45| 600.3844113| 32|00:08:59|+0.00|0.33|0.3095| +|x| 8| 14| 27| 575.3407575| 41|00:08:59|-0.03|0.23|0.4895| +|=| 2| 14| 27| 704.4323440| 50|00:08:14|+0.10|0.28|0.5143| +|=| 3| 14| 27| 637.0269533| 59|00:08:59|+0.08|0.23|0.4357| +|=| 7| 14| 27| 717.9495877| 68|00:08:09|+0.05|0.18|0.5074| +|=| 1| 14| 27| 690.7075370| 77|00:09:00|+0.07|0.18|0.5927| +|=| 10| 14| 46| 668.4768756| 86|00:08:59|+0.01|0.12|0.6435| +|=| 6| 14| 46| 723.8118308| 95|00:07:58|+0.02|0.12|0.6785| +|=| 5| 14| 46| 703.4708650| 104|00:08:58|+0.05|0.13|0.6857| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 703.4708650 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 7 56 0.64633 83 41 94 10 20 19 + +# 2023-08-29 22:27:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 7 56 0.64633 83 41 94 10 20 +27 9 55 0.30822 84 47 92 35 13 +37 6 76 0.43635 32 30 61 21 22 +19 5 72 0.53705 80 59 96 0 0 +38 10 107 0.35149 56 58 82 79 3 +# 2023-08-29 22:27:35 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 46| 300.0000000| 13|00:11:59| NA| NA| NA| +|x| 9| 13| 46| 300.0000000| 21|00:10:00|+1.00|1.00|0.0000| +|x| 1| 13| 27| 366.6710607| 29|00:09:49|+0.00|0.33|0.3077| +|x| 10| 13| 46| 400.0238763| 37|00:09:52|-0.14|0.14|0.5213| +|=| 5| 13| 46| 420.0313424| 45|00:09:51|-0.15|0.08|0.6096| +|=| 3| 13| 46| 400.0261187| 53|00:10:00|-0.12|0.07|0.4987| +|=| 4| 13| 46| 385.7366731| 61|00:10:00|-0.10|0.06|0.4221| +|=| 2| 13| 46| 488.3926804| 69|00:07:55|-0.07|0.07|0.4795| +|=| 11| 13| 46| 567.6373740| 77|00:08:04|-0.01|0.10|0.4992| +|=| 8| 13| 46| 560.8781273| 85|00:09:49|+0.03|0.13|0.5146| +|=| 7| 13| 27| 620.5358074| 93|00:07:51|+0.05|0.14|0.5369| +|=| 6| 13| 46| 669.8482929| 101|00:08:04|+0.04|0.12|0.5850| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 669.8482929 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 7 56 0.64633 83 41 94 10 20 19 + +# 2023-08-30 00:20:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 9 55 0.30822 84 47 92 35 13 +46 7 56 0.64633 83 41 94 10 20 +37 6 76 0.43635 32 30 61 21 22 +19 5 72 0.53705 80 59 96 0 0 +38 10 107 0.35149 56 58 82 79 3 +# 2023-08-30 00:20:54 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 177819.2, CPU sys time: 13.84, Wall-clock time: 27699.52 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 9 55 0.30822 84 47 92 35 13 +46 7 56 0.64633 83 41 94 10 20 +37 6 76 0.43635 32 30 61 21 22 +19 5 72 0.53705 80 59 96 0 0 +38 10 107 0.35149 56 58 82 79 3 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +27 -K9 -k55 -M0.30822 -Q84 -G47 -D92 -O35 -L13 +46 -K7 -k56 -M0.64633 -Q83 -G41 -D94 -O10 -L20 +37 -K6 -k76 -M0.43635 -Q32 -G30 -D61 -O21 -L22 +19 -K5 -k72 -M0.53705 -Q80 -G59 -D96 -O0 -L0 +38 -K10 -k107 -M0.35149 -Q56 -G58 -D82 -O79 -L3 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 00:20:54 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-13.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-13.txt new file mode 100644 index 000000000..3786fc8d2 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-13.txt @@ -0,0 +1,250 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:38:14 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1912523573 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:38:14 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 8| 500.0585280| 16|00:12:42| NA| NA| NA| +|x| 2| 16| 8| 400.0292640| 32|00:12:59|-0.32|0.34|1.1681| +|x| 3| 16| 12| 673.9649663| 48|00:10:43|+0.05|0.37|1.0467| +|x| 4| 16| 12| 580.4737247| 64|00:12:59|-0.00|0.25|0.9294| +|=| 5| 16| 12| 564.3789838| 80|00:12:43|+0.10|0.28|0.8624| +|-| 6| 8| 12| 673.8584783| 96|00:10:41|+0.01|0.17|0.8957| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 673.8584783 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 8 36 0.71606 53 38 47 20 1 NA + +# 2023-08-29 17:51:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 8 36 0.71606 53 38 47 20 1 +3 7 60 0.68757 78 67 14 78 77 +9 8 2 0.47501 52 20 62 40 88 +13 6 55 0.21497 97 7 25 99 16 +8 5 101 0.44168 31 98 83 43 80 +# 2023-08-29 17:51:04 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 28| 1203.163454| 18|00:11:54| NA| NA| NA| +|x| 1| 18| 27| 854.7241555| 31|00:09:44|-0.04|0.48|1.1860| +|x| 2| 18| 13| 670.3602000| 44|00:09:45|+0.06|0.37|0.9646| +|x| 3| 18| 20| 810.2288225| 57|00:08:46|-0.06|0.20|1.0687| +|=| 4| 18| 20| 708.1830580| 70|00:09:44|+0.00|0.20|0.9455| +|=| 5| 18| 13| 672.2038078| 83|00:09:44|+0.04|0.20|0.9239| +|=| 6| 18| 3| 750.5255880| 96|00:08:46|-0.02|0.13|0.9611| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 3 mean value: 750.5255880 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +3 3 7 60 0.68757 78 67 14 78 77 NA + +# 2023-08-29 18:59:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +3 7 60 0.68757 78 67 14 78 77 +12 8 36 0.71606 53 38 47 20 1 +13 6 55 0.21497 97 7 25 99 16 +21 9 28 0.76284 64 66 60 82 19 +28 4 23 0.49929 36 7 27 0 44 +# 2023-08-29 18:59:33 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 40| 500.0054720| 17|00:16:10| NA| NA| NA| +|x| 3| 17| 40| 860.3147665| 29|00:09:50|+0.32|0.66|1.2093| +|x| 5| 17| 3| 740.2218003| 41|00:10:50|+0.28|0.52|0.9402| +|x| 1| 17| 40| 680.1769893| 53|00:10:49|+0.25|0.44|0.9301| +|-| 7| 12| 40| 788.2713564| 65|00:09:55|-0.07|0.15|1.0572| +|=| 4| 12| 40| 706.8927970| 72|00:10:50|-0.06|0.12|1.0122| +|=| 6| 12| 40| 780.3962756| 79|00:09:24|-0.08|0.07|1.0262| +|=| 2| 12| 40| 720.3467411| 86|00:10:49|-0.07|0.07|0.9776| +|=| 9| 12| 40| 673.6415477| 98|00:10:49|-0.05|0.07|0.9221| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 673.6415477 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 7 30 0.77679 93 2 46 21 14 12 + +# 2023-08-29 20:39:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 7 30 0.77679 93 2 46 21 14 +32 10 48 0.73805 94 8 30 74 46 +3 7 60 0.68757 78 67 14 78 77 +12 8 36 0.71606 53 38 47 20 1 +30 7 28 0.78466 86 31 71 20 13 +# 2023-08-29 20:39:04 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 290 +# remainingBudget: 210 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 32| 1201.394376| 15|00:12:29| NA| NA| NA| +|x| 5| 15| 32| 850.7047475| 25|00:08:31|+0.36|0.68|0.6132| +|x| 1| 15| 32| 733.8042907| 35|00:08:34|+0.20|0.46|0.7101| +|x| 8| 15| 32| 675.3620780| 45|00:08:33|+0.16|0.37|0.6710| +|=| 3| 15| 32| 784.7812430| 55|00:07:13|+0.08|0.26|0.7796| +|=| 9| 15| 32| 703.9843692| 65|00:08:40|+0.06|0.22|0.6753| +|=| 7| 15| 32| 778.0175350| 75|00:06:58|+0.05|0.18|0.7441| +|=| 4| 15| 32| 718.2653431| 85|00:08:40|+0.04|0.16|0.6581| +|=| 2| 15| 32| 671.7914161| 95|00:08:39|+0.03|0.14|0.5896| +|=| 6| 15| 32| 726.7059724| 105|00:07:04|+0.05|0.14|0.6194| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 726.7059724 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 10 48 0.73805 94 8 30 74 46 21 + +# 2023-08-29 22:04:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 10 48 0.73805 94 8 30 74 46 +45 7 61 0.48257 94 21 77 23 24 +51 7 34 0.94975 96 0 87 30 8 +40 7 30 0.77679 93 2 46 21 14 +30 7 28 0.78466 86 31 71 20 13 +# 2023-08-29 22:04:31 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 395 +# remainingBudget: 105 +# currentBudget: 105 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 32| 300.0000000| 14|00:15:10| NA| NA| NA| +|x| 1| 14| 32| 400.0016885| 23|00:10:41|+0.00|0.50|0.4643| +|x| 4| 14| 32| 366.6677923| 32|00:10:50|+0.00|0.33|0.3095| +|x| 5| 14| 32| 400.0046240| 41|00:10:40|+0.07|0.31|0.4176| +|=| 8| 14| 57| 420.0206104| 50|00:10:43|+0.13|0.30|0.4653| +|-| 10| 10| 32| 550.2413853| 59|00:08:30|-0.09|0.09|0.6437| +|=| 2| 10| 32| 514.4926160| 64|00:10:50|-0.07|0.08|0.5455| +|=| 7| 10| 32| 602.9581053| 69|00:07:30|-0.08|0.06|0.6204| +|=| 3| 10| 51| 672.0363873| 74|00:07:43|-0.09|0.03|0.6594| +|=| 6| 10| 40| 728.4192337| 79|00:07:20|-0.07|0.04|0.6889| +|=| 9| 10| 40| 689.4720306| 84|00:10:49|-0.06|0.03|0.6209| +|=| 12| 10| 40| 673.6828373| 94|00:10:42|-0.03|0.05|0.6336| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 673.6828373 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 7 30 0.77679 93 2 46 21 14 12 + +# 2023-08-30 00:06:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 7 30 0.77679 93 2 46 21 14 +57 9 54 0.72425 96 19 36 49 65 +32 10 48 0.73805 94 8 30 74 46 +51 7 34 0.94975 96 0 87 30 8 +45 7 61 0.48257 94 21 77 23 24 +# 2023-08-30 00:06:05 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 206415.7, CPU sys time: 23.88, Wall-clock time: 26870.47 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 7 30 0.77679 93 2 46 21 14 +57 9 54 0.72425 96 19 36 49 65 +32 10 48 0.73805 94 8 30 74 46 +51 7 34 0.94975 96 0 87 30 8 +45 7 61 0.48257 94 21 77 23 24 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +40 -K7 -k30 -M0.77679 -Q93 -G2 -D46 -O21 -L14 +57 -K9 -k54 -M0.72425 -Q96 -G19 -D36 -O49 -L65 +32 -K10 -k48 -M0.73805 -Q94 -G8 -D30 -O74 -L46 +51 -K7 -k34 -M0.94975 -Q96 -G0 -D87 -O30 -L8 +45 -K7 -k61 -M0.48257 -Q94 -G21 -D77 -O23 -L24 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 00:06:05 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-14.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-14.txt new file mode 100644 index 000000000..d5366cf5e --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-14.txt @@ -0,0 +1,250 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:36:32 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 976786923 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:36:32 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 8| 500.0000020| 16|00:13:47| NA| NA| NA| +|x| 2| 16| 8| 860.4355480| 32|00:11:33|+0.24|0.62|0.5513| +|x| 3| 16| 8| 673.6236987| 48|00:14:00|+0.13|0.42|0.7980| +|x| 4| 16| 8| 805.4941962| 64|00:11:30|+0.17|0.38|0.7817| +|=| 5| 16| 8| 704.3953570| 80|00:14:00|+0.14|0.31|0.7846| +|-| 6| 6| 9| 670.4080303| 96|00:13:45|+0.17|0.31|0.4893| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 670.4080303 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 108 0.45031 91 39 19 31 59 NA + +# 2023-08-29 17:55:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 108 0.45031 91 39 19 31 59 +8 7 122 0.94615 78 15 18 20 31 +13 9 96 0.22903 77 100 94 61 4 +5 4 117 0.35423 90 15 10 5 45 +16 8 118 0.27588 91 21 75 90 25 +# 2023-08-29 17:55:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 9| 300.0000000| 18|00:18:39| NA| NA| NA| +|x| 4| 18| 8| 750.5528445| 31|00:08:15|-0.21|0.39|1.2461| +|x| 2| 18| 9| 907.4779857| 44|00:08:20|+0.00|0.34|0.9800| +|x| 5| 18| 9| 755.6084893| 57|00:11:39|+0.03|0.28|0.9549| +|=| 1| 18| 8| 704.3953570| 70|00:11:06|+0.08|0.26|0.8678| +|=| 6| 18| 9| 670.4080303| 83|00:11:09|+0.05|0.21|0.8893| +|=| 3| 18| 9| 617.4925974| 96|00:11:40|+0.09|0.22|0.8366| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 617.4925974 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 108 0.45031 91 39 19 31 59 NA + +# 2023-08-29 19:16:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 108 0.45031 91 39 19 31 59 +8 7 122 0.94615 78 15 18 20 31 +5 4 117 0.35423 90 15 10 5 45 +16 8 118 0.27588 91 21 75 90 25 +23 7 115 0.62912 74 41 16 23 22 +# 2023-08-29 19:16:02 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 35| 500.0128790| 17|00:18:52| NA| NA| NA| +|x| 3| 17| 34| 400.0130690| 29|00:11:39|-0.43|0.28|1.2032| +|x| 6| 17| 9| 433.3421763| 41|00:11:25|-0.00|0.33|0.9955| +|x| 4| 17| 9| 625.4397805| 53|00:08:52|-0.01|0.24|1.0192| +|=| 5| 17| 9| 560.3518244| 65|00:11:40|+0.02|0.22|0.9835| +|=| 2| 17| 34| 667.9258798| 77|00:08:38|+0.08|0.23|0.9214| +|=| 1| 17| 34| 643.9370786| 89|00:11:23|+0.09|0.22|0.9410| +|-| 7| 8| 34| 600.9449437| 101|00:11:41|+0.04|0.16|0.8546| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 600.9449437 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 8 86 0.11034 89 43 45 99 0 16 + +# 2023-08-29 20:50:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 8 86 0.11034 89 43 45 99 0 +9 10 108 0.45031 91 39 19 31 59 +8 7 122 0.94615 78 15 18 20 31 +32 9 112 0.87601 24 43 20 3 38 +39 7 79 0.22002 64 41 83 69 31 +# 2023-08-29 20:50:16 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 293 +# remainingBudget: 207 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 32| 1203.202384| 15|00:12:33| NA| NA| NA| +|x| 2| 15| 34| 1203.640819| 25|00:08:29|+0.11|0.55|0.8187| +|x| 5| 15| 34| 902.4272123| 35|00:10:29|+0.10|0.40|0.7960| +|x| 4| 15| 32| 977.5062070| 45|00:08:19|+0.04|0.28|0.8753| +|=| 7| 15| 32| 842.0049656| 55|00:10:30|+0.10|0.28|0.7987| +|=| 1| 15| 34| 785.6147877| 65|00:10:18|+0.10|0.25|0.8333| +|=| 6| 15| 34| 744.8127254| 75|00:10:18|+0.09|0.22|0.8163| +|=| 8| 15| 34| 714.2144020| 85|00:10:29|+0.08|0.20|0.8329| +|-| 3| 6| 34| 668.1905796| 95|00:10:30|-0.04|0.08|0.5443| +|=| 10| 6| 34| 721.7315492| 101|00:07:07|+0.02|0.12|0.5408| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 721.7315492 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 8 86 0.11034 89 43 45 99 0 16 + +# 2023-08-29 22:29:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 8 86 0.11034 89 43 45 99 0 +9 10 108 0.45031 91 39 19 31 59 +32 9 112 0.87601 24 43 20 3 38 +50 6 86 0.30851 85 22 40 76 2 +8 7 122 0.94615 78 15 18 20 31 +# 2023-08-29 22:29:25 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 394 +# remainingBudget: 106 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 60| 500.0000000| 14|00:17:51| NA| NA| NA| +|x| 2| 14| 60| 850.5412740| 23|00:07:49|+0.24|0.62|0.9913| +|x| 3| 14| 60| 667.0275160| 32|00:11:40|+0.12|0.41|0.6400| +|x| 1| 14| 34| 625.2845047| 41|00:11:25|+0.12|0.34|0.6969| +|-| 4| 10| 34| 741.5081674| 50|00:08:04|+0.04|0.23|0.7492| +|=| 8| 10| 34| 701.2611625| 55|00:11:05|+0.05|0.21|0.6918| +|=| 5| 10| 34| 643.9381393| 60|00:11:39|+0.04|0.18|0.6013| +|=| 6| 10| 34| 625.9459159| 65|00:11:07|+0.07|0.18|0.6294| +|=| 9| 10| 34| 690.4136659| 70|00:06:26|+0.05|0.16|0.6282| +|=| 7| 10| 34| 651.3722993| 75|00:11:39|+0.08|0.17|0.6226| +|-| 10| 6| 34| 701.5748426| 80|00:06:25|+0.00|0.09|0.5740| +|=| 12| 6| 34| 668.1102724| 86|00:11:40|+0.00|0.08|0.5289| +|=| 13| 6| 9| 712.7606022| 92|00:07:13|-0.03|0.05|0.5695| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 712.7606022 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 108 0.45031 91 39 19 31 59 NA + +# 2023-08-30 00:43:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 108 0.45031 91 39 19 31 59 +34 8 86 0.11034 89 43 45 99 0 +60 10 90 0.83686 89 6 18 3 19 +32 9 112 0.87601 24 43 20 3 38 +52 10 93 0.44820 85 27 37 11 50 +# 2023-08-30 00:43:36 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 486 +# timeUsed: 0 +# remainingBudget: 14 +# currentBudget: 14 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 219877.5, CPU sys time: 30.721, Wall-clock time: 29223.63 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 108 0.45031 91 39 19 31 59 +34 8 86 0.11034 89 43 45 99 0 +60 10 90 0.83686 89 6 18 3 19 +32 9 112 0.87601 24 43 20 3 38 +52 10 93 0.44820 85 27 37 11 50 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +9 -K10 -k108 -M0.45031 -Q91 -G39 -D19 -O31 -L59 +34 -K8 -k86 -M0.11034 -Q89 -G43 -D45 -O99 -L0 +60 -K10 -k90 -M0.83686 -Q89 -G6 -D18 -O3 -L19 +32 -K9 -k112 -M0.87601 -Q24 -G43 -D20 -O3 -L38 +52 -K10 -k93 -M0.4482 -Q85 -G27 -D37 -O11 -L50 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 00:43:36 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-15.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-15.txt new file mode 100644 index 000000000..ad0d9d5a4 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-15.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:34:20 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 204590061 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:34:20 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:13:45| NA| NA| NA| +|x| 2| 16| 10| 751.7365765| 32|00:09:59|+0.06|0.53|0.8761| +|x| 3| 16| 10| 667.8359540| 48|00:13:23|+0.09|0.40|0.9244| +|x| 4| 16| 10| 806.2581420| 64|00:10:22|+0.10|0.32|0.9580| +|-| 5| 11| 10| 745.0102988| 80|00:13:23|-0.01|0.19|0.9345| +|=| 6| 11| 10| 670.8419157| 91|00:12:29|-0.05|0.13|0.9672| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 670.8419157 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 7 111 0.88317 88 92 88 2 34 NA + +# 2023-08-29 17:47:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 7 111 0.88317 88 92 88 2 34 +6 5 104 0.74254 77 64 67 4 54 +9 2 110 0.34457 87 91 40 43 81 +15 8 72 0.11882 88 39 3 15 0 +14 2 83 0.19669 58 8 1 30 36 +# 2023-08-29 17:47:44 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 10| 300.0000000| 18|00:13:44| NA| NA| NA| +|x| 6| 18| 10| 300.0000000| 31|00:12:29|+1.00|1.00|0.0108| +|x| 4| 18| 29| 606.8957887| 44|00:10:31|+0.10|0.40|1.1847| +|x| 1| 18| 29| 530.1718415| 57|00:12:29|+0.28|0.46|0.9721| +|-| 3| 14| 29| 524.1375076| 70|00:12:16|+0.04|0.24|0.9270| +|=| 2| 14| 29| 637.9498983| 79|00:10:44|+0.01|0.18|0.9585| +|=| 5| 14| 29| 618.2636704| 88|00:12:16|-0.04|0.11|0.9772| +|=| 8| 14| 29| 603.4828289| 102|00:12:25|+0.01|0.14|0.9267| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 603.4828289 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 7 83 0.60935 84 97 67 38 52 10 + +# 2023-08-29 19:24:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 83 0.60935 84 97 67 38 52 +17 10 92 0.88376 65 97 85 30 29 +10 7 111 0.88317 88 92 88 2 34 +21 5 48 0.39252 42 77 93 16 10 +19 7 124 0.89003 76 21 87 42 33 +# 2023-08-29 19:24:43 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 17| 1205.291448| 15|00:15:34| NA| NA| NA| +|x| 1| 15| 17| 752.6457240| 25|00:11:15|+0.00|0.50|0.4667| +|x| 8| 15| 17| 668.4308250| 35|00:11:07|+0.19|0.46|0.4882| +|x| 2| 15| 17| 806.6100965| 45|00:09:27|+0.24|0.43|0.6358| +|-| 3| 9| 17| 745.2920432| 55|00:11:05|-0.03|0.18|0.7065| +|=| 6| 9| 29| 671.4540993| 59|00:11:15|-0.02|0.15|0.5895| +|=| 4| 9| 29| 749.9159946| 63|00:08:35|-0.07|0.08|0.6815| +|=| 7| 9| 29| 693.6764953| 67|00:11:15|-0.06|0.07|0.5905| +|=| 5| 9| 17| 671.9867677| 71|00:10:41|-0.07|0.05|0.6324| +|=| 10| 9| 29| 725.1555589| 80|00:10:52|-0.04|0.06|0.6420| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 725.1555589 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 7 83 0.60935 84 97 67 38 52 10 + +# 2023-08-29 21:15:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 83 0.60935 84 97 67 38 52 +17 10 92 0.88376 65 97 85 30 29 +31 7 93 0.70030 66 58 83 16 35 +10 7 111 0.88317 88 92 88 2 34 +21 5 48 0.39252 42 77 93 16 10 +# 2023-08-29 21:15:55 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 273 +# remainingBudget: 227 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 40| 500.0137380| 14|00:15:55| NA| NA| NA| +|x| 1| 14| 40| 400.0068690| 23|00:11:14|+0.00|0.50|0.4643| +|x| 9| 14| 17| 668.4369673| 32|00:09:28|-0.08|0.28|0.7130| +|x| 3| 14| 17| 626.3326830| 41|00:11:08|+0.04|0.28|0.6663| +|-| 5| 8| 17| 601.0785162| 50|00:11:05|-0.08|0.14|0.7800| +|=| 4| 8| 17| 704.4585708| 53|00:08:46|-0.08|0.10|0.8207| +|=| 6| 8| 17| 646.6787750| 56|00:11:15|-0.07|0.08|0.6904| +|=| 7| 8| 17| 603.3439281| 59|00:11:14|-0.06|0.07|0.5959| +|=| 2| 8| 17| 671.9888151| 62|00:08:36|-0.02|0.10|0.6298| +|=| 10| 8| 40| 722.5796372| 65|00:08:42|+0.01|0.11|0.6419| +|=| 8| 8| 40| 702.3501105| 68|00:10:52|-0.01|0.09|0.6663| +|=| 12| 8| 40| 668.8209347| 76|00:12:30|-0.01|0.08|0.6083| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 668.8209347 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 9 63 0.75005 43 27 63 0 8 31 + +# 2023-08-29 23:26:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 9 63 0.75005 43 27 63 0 8 +17 10 92 0.88376 65 97 85 30 29 +29 7 83 0.60935 84 97 67 38 52 +31 7 93 0.70030 66 58 83 16 35 +10 7 111 0.88317 88 92 88 2 34 +# 2023-08-29 23:26:47 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 349 +# remainingBudget: 151 +# currentBudget: 151 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 16| 40| 300.0000000| 16|00:20:00| NA| NA| NA| +|x| 2| 16| 57| 750.6425270| 27|00:10:49|+0.00|0.50|0.4688| +|x| 7| 16| 57| 600.4283513| 38|00:12:29|+0.00|0.33|0.3125| +|x| 10| 16| 40| 750.7575327| 49|00:11:06|+0.17|0.38|0.4072| +|=| 6| 16| 40| 660.6060262| 60|00:12:29|+0.13|0.30|0.3381| +|=| 1| 16| 40| 600.5050218| 71|00:12:30|+0.10|0.25|0.2879| +|=| 8| 16| 57| 588.8272013| 82|00:12:23|+0.05|0.18|0.3865| +|=| 4| 16| 40| 663.0391955| 93|00:11:05|+0.07|0.19|0.4338| +|=| 9| 16| 40| 725.0810790| 104|00:11:06|+0.01|0.12|0.5279| +|=| 12| 16| 40| 682.5729711| 115|00:12:30|+0.01|0.11|0.4744| +|=| 3| 16| 29| 668.3099351| 126|00:12:23|-0.00|0.09|0.5135| +|=| 5| 16| 57| 655.4229884| 137|00:12:24|+0.01|0.09|0.5517| +|=| 11| 16| 57| 643.4736937| 148|00:12:24|+0.03|0.11|0.5588| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 57 mean value: 643.4736937 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +57 57 9 34 0.39489 71 21 73 15 8 40 + +# 2023-08-30 02:10:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +57 9 34 0.39489 71 21 73 15 8 +40 9 63 0.75005 43 27 63 0 8 +53 9 73 0.79924 75 90 77 12 36 +17 10 92 0.88376 65 97 85 30 29 +29 7 83 0.60935 84 97 67 38 52 +# 2023-08-30 02:10:29 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 237018.9, CPU sys time: 22.429, Wall-clock time: 34569.15 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +57 9 34 0.39489 71 21 73 15 8 +40 9 63 0.75005 43 27 63 0 8 +53 9 73 0.79924 75 90 77 12 36 +17 10 92 0.88376 65 97 85 30 29 +29 7 83 0.60935 84 97 67 38 52 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +57 -K9 -k34 -M0.39489 -Q71 -G21 -D73 -O15 -L8 +40 -K9 -k63 -M0.75005 -Q43 -G27 -D63 -O0 -L8 +53 -K9 -k73 -M0.79924 -Q75 -G90 -D77 -O12 -L36 +17 -K10 -k92 -M0.88376 -Q65 -G97 -D85 -O30 -L29 +29 -K7 -k83 -M0.60935 -Q84 -G97 -D67 -O38 -L52 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 02:10:29 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-16.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-16.txt new file mode 100644 index 000000000..044abdf63 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-16.txt @@ -0,0 +1,293 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:32:10 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 704501201 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:32:10 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 1216.885877| 16|00:14:38| NA| NA| NA| +|x| 2| 16| 7| 861.0257280| 32|00:18:04|+0.29|0.64|0.6406| +|x| 3| 16| 7| 674.0171520| 48|00:18:39|+0.44|0.63|0.7354| +|x| 4| 16| 13| 809.1977405| 64|00:14:58|+0.32|0.49|0.8445| +|-| 5| 12| 13| 707.3581924| 80|00:18:40|-0.04|0.17|0.5954| +|=| 6| 12| 13| 672.8091248| 92|00:13:10|+0.07|0.22|0.5830| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 672.8091248 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 7 101 0.62921 76 32 38 41 98 NA + +# 2023-08-29 18:10:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 7 101 0.62921 76 32 38 41 98 +16 9 24 0.46863 53 11 95 5 84 +2 5 68 0.97196 66 17 70 43 88 +15 8 85 0.74064 71 32 77 21 29 +7 7 113 0.89309 65 53 33 6 40 +# 2023-08-29 18:10:22 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 13| 300.0000000| 18|00:22:40| NA| NA| NA| +|x| 5| 18| 13| 300.0000000| 31|00:14:39|+1.00|1.00|0.0000| +|x| 1| 18| 2| 605.6286257| 44|00:13:10|+0.00|0.33|0.3148| +|x| 3| 18| 2| 529.2214692| 57|00:14:39|+0.00|0.25|0.2361| +|=| 6| 18| 21| 524.2131432| 70|00:14:35|+0.07|0.26|0.3258| +|=| 4| 18| 15| 637.3965648| 83|00:13:12|+0.08|0.23|0.4175| +|=| 2| 18| 13| 619.5506784| 96|00:14:32|+0.08|0.21|0.4920| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 619.5506784 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 7 101 0.62921 76 32 38 41 98 NA + +# 2023-08-29 19:57:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 7 101 0.62921 76 32 38 41 98 +18 8 116 0.63172 100 8 92 49 9 +16 9 24 0.46863 53 11 95 5 84 +2 5 68 0.97196 66 17 70 43 88 +21 6 71 0.57933 100 98 15 32 55 +# 2023-08-29 19:57:52 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 40| 500.0155730| 17|00:21:07| NA| NA| NA| +|x| 7| 17| 40| 400.0077865| 29|00:12:00|+0.00|0.50|0.4706| +|x| 2| 17| 40| 433.3395033| 41|00:11:57|+0.36|0.57|0.3575| +|x| 3| 17| 40| 400.0046275| 53|00:12:01|+0.24|0.43|0.3356| +|-| 1| 12| 40| 564.3068668| 65|00:10:44|+0.02|0.22|0.4967| +|=| 4| 12| 40| 673.7528698| 72|00:09:16|-0.03|0.15|0.5465| +|=| 5| 12| 40| 620.3596027| 79|00:10:40|-0.02|0.12|0.4777| +|=| 6| 12| 40| 605.3235000| 86|00:10:39|-0.00|0.12|0.5492| +|=| 9| 12| 40| 673.8508611| 98|00:10:12|+0.02|0.13|0.5981| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 673.8508611 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 8 82 0.66731 89 3 84 55 9 18 + +# 2023-08-29 21:46:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 8 82 0.66731 89 3 84 55 9 +18 8 116 0.63172 100 8 92 49 9 +37 8 94 0.63394 85 17 89 87 13 +36 8 111 0.63622 68 17 62 31 91 +13 7 101 0.62921 76 32 38 41 98 +# 2023-08-29 21:46:32 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 51| 1201.655328| 15|00:17:27| NA| NA| NA| +|x| 8| 15| 45| 860.1810315| 25|00:13:14|-0.06|0.47|0.7458| +|x| 5| 15| 45| 673.4540210| 35|00:13:20|-0.03|0.31|0.5597| +|x| 7| 15| 45| 580.0905158| 45|00:13:23|-0.02|0.24|0.4354| +|=| 9| 15| 45| 708.3080006| 55|00:11:31|-0.02|0.18|0.6116| +|=| 2| 15| 46| 673.5247470| 65|00:13:14|+0.02|0.18|0.6371| +|=| 3| 15| 46| 620.1640689| 75|00:13:19|+0.01|0.15|0.5440| +|=| 6| 15| 46| 605.1489581| 85|00:13:14|+0.02|0.14|0.5911| +|=| 4| 15| 46| 673.6464409| 95|00:11:44|+0.02|0.13|0.6188| +|=| 1| 15| 46| 728.3101714| 105|00:11:21|+0.06|0.16|0.6222| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 728.3101714 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 7 77 0.87135 95 26 37 38 69 36 + +# 2023-08-29 23:58:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 7 77 0.87135 95 26 37 38 69 +45 10 109 0.64693 88 59 61 54 21 +51 7 78 0.72738 89 25 100 28 2 +42 9 85 0.70038 67 45 81 86 61 +18 8 116 0.63172 100 8 92 49 9 +# 2023-08-29 23:58:24 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 45| 500.0000000| 14|00:18:16| NA| NA| NA| +|x| 8| 14| 45| 500.0094815| 23|00:12:00|+0.58|0.79|0.5717| +|x| 2| 14| 55| 500.0113143| 32|00:12:00|+0.29|0.52|0.7051| +|x| 5| 14| 55| 450.0084857| 41|00:12:00|+0.19|0.39|0.5847| +|-| 1| 9| 46| 604.0617176| 50|00:10:33|+0.06|0.24|0.7312| +|=| 4| 9| 55| 703.4504758| 54|00:10:01|+0.05|0.21|0.7283| +|=| 6| 9| 55| 674.4060154| 58|00:11:57|-0.00|0.14|0.7481| +|=| 3| 9| 55| 627.6052635| 62|00:12:00|-0.00|0.12|0.6563| +|=| 10| 9| 46| 695.8170971| 66|00:09:59|-0.01|0.10|0.6786| +|=| 7| 9| 46| 656.2353874| 70|00:11:59|-0.01|0.09|0.6120| +|=| 9| 9| 55| 704.1298885| 74|00:09:58|-0.00|0.09|0.6385| +|=| 12| 9| 55| 670.4523978| 83|00:13:20|-0.00|0.08|0.5859| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 670.4523978 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 9 101 0.91688 74 49 71 43 9 45 + +# 2023-08-30 02:22:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 9 101 0.91688 74 49 71 43 9 +46 7 77 0.87135 95 26 37 38 69 +45 10 109 0.64693 88 59 61 54 21 +51 7 78 0.72738 89 25 100 28 2 +58 7 92 0.60421 94 47 70 46 6 +# 2023-08-30 02:22:32 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 474 +# remainingBudget: 26 +# currentBudget: 26 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 45| 500.0024650| 6|00:13:13| NA| NA| NA| +|x| 3| 6| 45| 400.0012325| 7|00:09:20|+0.00|0.50|0.4167| +|x| 6| 6| 51| 433.3395080| 8|00:09:00|+0.10|0.40|0.6405| +|x| 8| 6| 45| 450.0213275| 9|00:09:00|-0.07|0.20|0.6710| +|=| 1| 6| 45| 604.0923772| 10|00:07:22|-0.06|0.15|0.7163| +|=| 9| 6| 46| 706.8521125| 11|00:07:33|-0.16|0.03|0.8077| +|=| 4| 6| 55| 774.6532609| 12|00:07:33|-0.13|0.03|0.8121| +|=| 11| 6| 55| 740.3216066| 13|00:09:01|-0.09|0.05|0.8050| +|=| 12| 6| 55| 691.3969837| 14|00:09:19|-0.08|0.04|0.7071| +|=| 7| 6| 55| 652.2572853| 15|00:09:19|-0.07|0.04|0.6305| +|=| 5| 6| 55| 620.2338957| 16|00:09:20|-0.06|0.03|0.5689| +|=| 2| 6| 55| 610.2159704| 17|00:09:00|-0.05|0.03|0.5788| +|=| 10| 6| 45| 660.2054152| 18|00:07:17|-0.06|0.03|0.6012| +|=| 14| 6| 45| 700.1648886| 24|00:09:51|-0.04|0.04|0.6169| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 700.1648886 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 10 109 0.64693 88 59 61 54 21 40 + +# 2023-08-30 04:28:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 109 0.64693 88 59 61 54 21 +55 9 101 0.91688 74 49 71 43 9 +46 7 77 0.87135 95 26 37 38 69 +51 7 78 0.72738 89 25 100 28 2 +61 7 81 0.45247 87 26 95 52 15 +# 2023-08-30 04:28:46 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 273766.2, CPU sys time: 30.13, Wall-clock time: 42995.88 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 109 0.64693 88 59 61 54 21 +55 9 101 0.91688 74 49 71 43 9 +46 7 77 0.87135 95 26 37 38 69 +51 7 78 0.72738 89 25 100 28 2 +61 7 81 0.45247 87 26 95 52 15 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +45 -K10 -k109 -M0.64693 -Q88 -G59 -D61 -O54 -L21 +55 -K9 -k101 -M0.91688 -Q74 -G49 -D71 -O43 -L9 +46 -K7 -k77 -M0.87135 -Q95 -G26 -D37 -O38 -L69 +51 -K7 -k78 -M0.72738 -Q89 -G25 -D100 -O28 -L2 +61 -K7 -k81 -M0.45247 -Q87 -G26 -D95 -O52 -L15 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 04:28:46 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-17.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-17.txt new file mode 100644 index 000000000..369df2c68 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-17.txt @@ -0,0 +1,252 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:30:46 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1875692723 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:30:46 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:14:09| NA| NA| NA| +|x| 2| 16| 16| 752.3129920| 32|00:13:26|+0.34|0.67|0.7331| +|x| 3| 16| 13| 673.5695763| 48|00:14:09|+0.36|0.57|0.7380| +|x| 4| 16| 16| 626.1632335| 64|00:14:10|+0.34|0.50|0.7072| +|-| 5| 9| 16| 560.9305868| 80|00:14:09|-0.02|0.19|0.5404| +|=| 6| 9| 16| 670.9955920| 89|00:11:52|-0.02|0.15|0.6109| +|=| 7| 9| 13| 648.8089274| 98|00:14:03|+0.03|0.17|0.6541| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 648.8089274 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 9 54 0.988 37 78 61 41 3 NA + +# 2023-08-29 18:06:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 9 54 0.98800 37 78 61 41 3 +16 5 59 0.24417 70 26 38 2 28 +14 7 33 0.22397 12 11 27 47 6 +1 5 29 0.88762 54 57 85 30 95 +12 5 19 0.89797 59 17 63 77 14 +# 2023-08-29 18:06:48 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 22| 1203.661149| 16|00:15:03| NA| NA| NA| +|x| 2| 16| 18| 1210.627495| 27|00:11:52|-0.26|0.37|1.2194| +|x| 5| 16| 18| 907.0849970| 38|00:14:09|-0.13|0.25|0.7190| +|x| 3| 16| 16| 806.5345892| 49|00:14:04|-0.10|0.17|0.8048| +|=| 4| 16| 16| 745.2313852| 60|00:14:04|+0.03|0.22|0.7736| +|=| 6| 16| 16| 824.5795907| 71|00:12:01|-0.02|0.15|0.7988| +|=| 1| 16| 16| 749.6396491| 82|00:14:09|-0.02|0.13|0.6821| +|=| 7| 16| 22| 718.4018973| 93|00:14:07|+0.00|0.13|0.7012| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 718.4018973 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 10 88 0.58714 38 31 24 39 20 13 + +# 2023-08-29 19:56:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 10 88 0.58714 38 31 24 39 20 +13 9 54 0.98800 37 78 61 41 3 +20 8 55 0.92493 74 79 50 21 27 +16 5 59 0.24417 70 26 38 2 28 +25 7 81 0.79153 39 51 68 58 7 +# 2023-08-29 19:56:21 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 22| 300.0000000| 15|00:21:14| NA| NA| NA| +|x| 8| 15| 33| 751.0641205| 25|00:12:06|+0.00|0.50|0.4667| +|x| 6| 15| 33| 903.0943067| 35|00:12:07|-0.07|0.29|0.6230| +|x| 4| 15| 33| 802.3294477| 45|00:14:05|+0.06|0.29|0.6565| +|=| 7| 15| 22| 744.8477012| 55|00:14:09|+0.09|0.28|0.6729| +|=| 1| 15| 22| 670.7064177| 65|00:14:09|+0.07|0.23|0.5730| +|=| 5| 15| 22| 617.7483580| 75|00:14:11|+0.06|0.20|0.4982| +|=| 2| 15| 33| 689.9045181| 85|00:12:45|+0.08|0.19|0.5292| +|=| 3| 15| 33| 668.8066306| 95|00:14:05|+0.08|0.18|0.5617| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 668.8066306 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 10 101 0.45457 67 17 41 48 9 22 + +# 2023-08-29 22:05:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 10 101 0.45457 67 17 41 48 9 +13 9 54 0.98800 37 78 61 41 3 +22 10 88 0.58714 38 31 24 39 20 +20 8 55 0.92493 74 79 50 21 27 +25 7 81 0.79153 39 51 68 58 7 +# 2023-08-29 22:05:17 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 46| 1201.458077| 15|00:20:39| NA| NA| NA| +|x| 4| 15| 45| 851.6526475| 25|00:14:08|+0.12|0.56|0.8724| +|x| 8| 15| 45| 974.7951387| 35|00:12:32|-0.03|0.31|0.9743| +|x| 7| 15| 20| 856.6667013| 45|00:14:08|+0.05|0.29|0.8666| +|=| 9| 15| 20| 745.3333610| 55|00:14:09|+0.04|0.23|0.7066| +|=| 1| 15| 20| 671.1111342| 65|00:14:10|+0.03|0.19|0.5955| +|=| 6| 15| 45| 746.7250800| 75|00:12:40|+0.07|0.20|0.6191| +|=| 3| 15| 45| 715.8893992| 85|00:14:06|+0.01|0.14|0.6669| +|=| 2| 15| 20| 773.8619444| 95|00:12:59|+0.03|0.14|0.6816| +|=| 5| 15| 20| 726.4757500| 105|00:14:09|+0.02|0.12|0.6179| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 726.4757500 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 8 55 0.92493 74 79 50 21 27 13 + +# 2023-08-30 00:29:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 8 55 0.92493 74 79 50 21 27 +45 6 79 0.99915 93 94 29 14 32 +13 9 54 0.98800 37 78 61 41 3 +33 10 101 0.45457 67 17 41 48 9 +44 9 78 0.40545 50 32 85 46 22 +# 2023-08-30 00:29:03 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 20| 300.0000000| 14|00:22:41| NA| NA| NA| +|x| 4| 14| 45| 400.0021715| 23|00:14:10|+0.00|0.50|0.4643| +|x| 1| 14| 45| 366.6681143| 32|00:14:10|+0.00|0.33|0.3095| +|x| 5| 14| 45| 350.0010858| 41|00:14:11|+0.00|0.25|0.2321| +|=| 10| 14| 45| 520.6610590| 50|00:12:58|+0.08|0.26|0.3344| +|=| 3| 14| 54| 520.0683555| 59|00:14:09|+0.06|0.22|0.4031| +|=| 9| 14| 54| 488.6300190| 68|00:14:10|+0.05|0.19|0.3542| +|-| 7| 11| 54| 490.0527368| 77|00:14:09|+0.01|0.14|0.4426| +|=| 2| 11| 20| 569.0567500| 83|00:11:57|+0.01|0.12|0.4983| +|=| 8| 11| 54| 636.2140283| 89|00:11:53|+0.02|0.12|0.5390| +|=| 6| 11| 54| 688.0959375| 95|00:11:56|-0.03|0.06|0.5955| +|=| 12| 11| 54| 672.4260931| 106|00:14:10|-0.07|0.02|0.6196| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 672.4260931 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 8 75 0.73471 69 78 15 29 1 20 + +# 2023-08-30 03:19:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 8 75 0.73471 69 78 15 29 1 +20 8 55 0.92493 74 79 50 21 27 +44 9 78 0.40545 50 32 85 46 22 +45 6 79 0.99915 93 94 29 14 32 +52 8 89 0.63688 66 23 61 23 10 +# 2023-08-30 03:19:42 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 310054.1, CPU sys time: 22.022, Wall-clock time: 38935.99 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 8 75 0.73471 69 78 15 29 1 +20 8 55 0.92493 74 79 50 21 27 +44 9 78 0.40545 50 32 85 46 22 +45 6 79 0.99915 93 94 29 14 32 +52 8 89 0.63688 66 23 61 23 10 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +54 -K8 -k75 -M0.73471 -Q69 -G78 -D15 -O29 -L1 +20 -K8 -k55 -M0.92493 -Q74 -G79 -D50 -O21 -L27 +44 -K9 -k78 -M0.40545 -Q50 -G32 -D85 -O46 -L22 +45 -K6 -k79 -M0.99915 -Q93 -G94 -D29 -O14 -L32 +52 -K8 -k89 -M0.63688 -Q66 -G23 -D61 -O23 -L10 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 03:19:42 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-18.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-18.txt new file mode 100644 index 000000000..bd201dd70 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-18.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:29:20 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 317251877 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:29:20 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 1201.726699| 16|00:14:32| NA| NA| NA| +|x| 2| 16| 5| 750.8633495| 32|00:18:00|+0.34|0.67|0.8701| +|x| 3| 16| 8| 673.6334697| 48|00:17:31|+0.22|0.48|0.9591| +|x| 4| 16| 8| 630.2346020| 64|00:17:38|+0.26|0.45|0.8972| +|-| 5| 9| 8| 564.1876816| 80|00:18:00|-0.07|0.14|0.5990| +|=| 6| 9| 16| 671.4233883| 89|00:10:45|-0.08|0.10|0.6440| +|=| 7| 9| 5| 646.0828107| 98|00:14:35|-0.05|0.10|0.6634| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 646.0828107 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 8 74 0.58465 69 21 32 32 33 NA + +# 2023-08-29 18:20:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 8 74 0.58465 69 21 32 32 33 +8 7 95 0.37669 60 27 74 42 44 +15 10 41 0.67867 62 77 20 17 75 +16 5 51 0.86320 70 48 71 87 84 +14 3 24 0.13715 63 43 60 15 41 +# 2023-08-29 18:20:25 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 25| 1201.126638| 16|00:14:54| NA| NA| NA| +|x| 5| 16| 15| 751.0369455| 27|00:13:29|-0.41|0.29|0.8739| +|x| 1| 16| 23| 907.0204000| 38|00:10:02|-0.03|0.31|0.8006| +|x| 7| 16| 23| 805.2708767| 49|00:13:26|+0.08|0.31|0.7416| +|=| 2| 16| 23| 704.2167014| 60|00:13:29|+0.10|0.28|0.6565| +|=| 3| 16| 23| 670.1909808| 71|00:13:27|+0.08|0.23|0.6598| +|=| 6| 16| 23| 748.7908973| 82|00:10:09|+0.03|0.17|0.7821| +|=| 4| 16| 23| 717.6941010| 93|00:13:26|+0.06|0.18|0.7637| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 717.6941010 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 8 112 0.66407 82 23 76 25 12 5 + +# 2023-08-29 20:02:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 8 112 0.66407 82 23 76 25 12 +18 9 107 0.99821 81 26 2 8 5 +15 10 41 0.67867 62 77 20 17 75 +21 8 27 0.63939 63 56 56 46 82 +5 8 74 0.58465 69 21 32 32 33 +# 2023-08-29 20:02:51 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 23| 300.0000000| 15|00:22:29| NA| NA| NA| +|x| 6| 15| 36| 752.1686715| 25|00:11:29|-0.19|0.40|0.8498| +|x| 4| 15| 36| 668.1186870| 35|00:14:46|+0.04|0.36|0.9719| +|x| 8| 15| 36| 801.3671857| 45|00:11:59|+0.02|0.27|0.8504| +|=| 5| 15| 36| 701.0937486| 55|00:14:59|+0.03|0.22|0.7928| +|=| 1| 15| 23| 790.2446872| 65|00:11:56|+0.08|0.23|0.9077| +|=| 2| 15| 23| 720.2097319| 75|00:14:59|+0.08|0.21|0.8455| +|-| 7| 10| 36| 690.7399006| 85|00:14:48|+0.05|0.17|0.7775| +|=| 3| 10| 23| 671.2836453| 90|00:13:24|-0.04|0.07|0.8646| +|=| 10| 10| 23| 654.1554370| 100|00:14:49|-0.03|0.07|0.8846| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 654.1554370 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 8 112 0.66407 82 23 76 25 12 5 + +# 2023-08-29 22:28:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 8 112 0.66407 82 23 76 25 12 +36 8 102 0.93591 68 46 100 13 9 +5 8 74 0.58465 69 21 32 32 33 +15 10 41 0.67867 62 77 20 17 75 +32 9 91 0.60944 37 39 15 18 22 +# 2023-08-29 22:28:35 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 291 +# remainingBudget: 209 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 5| 1200.482958| 14|00:20:20| NA| NA| NA| +|x| 4| 14| 43| 850.3276015| 23|00:14:47|+0.23|0.62|0.8940| +|x| 2| 14| 43| 666.8850677| 32|00:14:59|+0.12|0.41|0.6075| +|x| 5| 14| 43| 575.1638007| 41|00:15:00|+0.08|0.31|0.4585| +|=| 9| 14| 43| 520.1310406| 50|00:14:59|+0.06|0.25|0.3680| +|=| 3| 14| 23| 516.9057205| 59|00:14:43|+0.01|0.17|0.4662| +|=| 7| 14| 43| 514.3931416| 68|00:14:47|+0.05|0.19|0.4781| +|=| 8| 14| 23| 602.7432581| 77|00:11:19|+0.01|0.14|0.5426| +|=| 10| 14| 23| 591.3275141| 86|00:14:46|+0.07|0.17|0.5498| +|-| 1| 11| 23| 652.2519392| 95|00:11:50|-0.04|0.07|0.6695| +|=| 6| 11| 23| 703.9008898| 101|00:09:32|-0.00|0.09|0.6857| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 703.9008898 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 8 112 0.66407 82 23 76 25 12 5 + +# 2023-08-30 01:05:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 8 112 0.66407 82 23 76 25 12 +43 8 91 0.57936 52 33 23 24 31 +36 8 102 0.93591 68 46 100 13 9 +45 10 94 0.75084 94 18 63 36 44 +5 8 74 0.58465 69 21 32 32 33 +# 2023-08-30 01:05:43 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 392 +# remainingBudget: 108 +# currentBudget: 108 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 23| 300.0000000| 13|00:17:59| NA| NA| NA| +|x| 1| 13| 23| 750.2858825| 21|00:12:31|+0.00|0.50|0.4615| +|x| 11| 13| 23| 900.6423943| 29|00:12:46|+0.20|0.46|0.5236| +|x| 2| 13| 23| 750.4817957| 37|00:14:59|+0.13|0.35|0.4157| +|=| 5| 13| 23| 660.3854366| 45|00:15:00|+0.10|0.28|0.3417| +|=| 3| 13| 23| 633.6649268| 53|00:14:56|-0.04|0.13|0.4995| +|=| 7| 13| 5| 614.6167317| 61|00:14:57|-0.01|0.13|0.5543| +|=| 10| 13| 23| 600.2516787| 69|00:14:53|+0.03|0.15|0.5806| +|=| 9| 13| 23| 566.8903811| 77|00:15:00|+0.02|0.13|0.5157| +|=| 4| 13| 23| 560.2029957| 85|00:14:56|+0.03|0.13|0.5577| +|=| 6| 13| 23| 620.2200321| 93|00:12:56|+0.04|0.13|0.5963| +|=| 8| 13| 23| 670.2424823| 101|00:12:17|+0.03|0.11|0.6384| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 670.2424823 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 8 112 0.66407 82 23 76 25 12 5 + +# 2023-08-30 03:58:59 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 8 112 0.66407 82 23 76 25 12 +51 10 118 0.76893 76 30 84 58 23 +43 8 91 0.57936 52 33 23 24 31 +45 10 94 0.75084 94 18 63 36 44 +36 8 102 0.93591 68 46 100 13 9 +# 2023-08-30 03:58:59 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 296017.8, CPU sys time: 30.292, Wall-clock time: 41378.92 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 8 112 0.66407 82 23 76 25 12 +51 10 118 0.76893 76 30 84 58 23 +43 8 91 0.57936 52 33 23 24 31 +45 10 94 0.75084 94 18 63 36 44 +36 8 102 0.93591 68 46 100 13 9 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +23 -K8 -k112 -M0.66407 -Q82 -G23 -D76 -O25 -L12 +51 -K10 -k118 -M0.76893 -Q76 -G30 -D84 -O58 -L23 +43 -K8 -k91 -M0.57936 -Q52 -G33 -D23 -O24 -L31 +45 -K10 -k94 -M0.75084 -Q94 -G18 -D63 -O36 -L44 +36 -K8 -k102 -M0.93591 -Q68 -G46 -D100 -O13 -L9 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 03:58:59 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-19.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-19.txt new file mode 100644 index 000000000..b7afd825a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-19.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:27:57 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 820769050 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:27:57 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 1202.899746| 16|00:13:54| NA| NA| NA| +|x| 2| 16| 4| 851.4614580| 32|00:15:50|+0.71|0.86|0.5059| +|x| 3| 16| 13| 673.5418060| 48|00:15:50|+0.32|0.54|0.7999| +|x| 4| 16| 10| 630.2546133| 64|00:15:49|+0.47|0.60|0.6672| +|-| 5| 9| 10| 564.2036906| 80|00:15:50|-0.02|0.18|0.7920| +|=| 6| 9| 10| 670.6221570| 89|00:13:06|+0.05|0.21|0.7804| +|=| 7| 9| 10| 749.1565847| 98|00:12:51|+0.08|0.21|0.8001| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 749.1565847 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 7 117 0.78073 66 91 61 24 18 NA + +# 2023-08-29 18:11:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 7 117 0.78073 66 91 61 24 18 +4 10 115 0.94860 77 29 19 71 80 +6 10 92 0.94010 39 6 46 77 28 +14 4 17 0.45110 59 87 84 61 31 +2 5 22 0.27326 72 94 71 85 66 +# 2023-08-29 18:11:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 10| 300.0000000| 16|00:23:45| NA| NA| NA| +|x| 4| 16| 10| 400.0080470| 27|00:15:41|-0.42|0.29|1.1663| +|x| 3| 16| 10| 366.6720313| 38|00:15:49|-0.23|0.18|1.0826| +|x| 1| 16| 14| 577.5948510| 49|00:13:12|-0.12|0.16|1.1254| +|=| 2| 16| 10| 564.2036906| 60|00:15:43|+0.03|0.22|1.0170| +|=| 5| 16| 10| 520.1697422| 71|00:15:49|+0.06|0.22|0.9388| +|=| 7| 16| 10| 620.1973720| 82|00:13:23|+0.04|0.18|0.9418| +|=| 6| 16| 10| 693.0120116| 93|00:13:22|+0.09|0.20|0.8928| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 693.0120116 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 7 117 0.78073 66 91 61 24 18 NA + +# 2023-08-29 20:18:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 7 117 0.78073 66 91 61 24 18 +14 4 17 0.45110 59 87 84 61 31 +4 10 115 0.94860 77 29 19 71 80 +6 10 92 0.94010 39 6 46 77 28 +22 9 73 0.79255 56 99 54 54 15 +# 2023-08-29 20:18:01 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 6| 500.0021710| 15|00:23:15| NA| NA| NA| +|x| 8| 15| 6| 400.0010855| 25|00:15:50|+0.00|0.50|0.4667| +|x| 6| 15| 10| 667.5724437| 35|00:13:23|+0.18|0.45|0.5298| +|x| 3| 15| 10| 575.6793327| 45|00:15:50|+0.07|0.30|0.6639| +|=| 2| 15| 10| 560.5466922| 55|00:15:43|+0.14|0.31|0.6610| +|=| 4| 15| 10| 550.4582592| 65|00:15:42|+0.08|0.23|0.6997| +|=| 7| 15| 10| 646.1589580| 75|00:13:41|+0.10|0.23|0.7251| +|=| 5| 15| 10| 602.8890882| 85|00:15:49|+0.09|0.20|0.6438| +|=| 1| 15| 10| 671.5665483| 95|00:13:19|+0.08|0.18|0.6941| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 671.5665483 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 7 117 0.78073 66 91 61 24 18 NA + +# 2023-08-29 22:40:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 7 117 0.78073 66 91 61 24 18 +32 9 46 0.60876 60 28 23 13 62 +34 10 37 0.92940 63 61 56 45 39 +31 7 121 0.49036 77 73 56 58 13 +29 9 52 0.71790 19 55 32 39 19 +# 2023-08-29 22:40:38 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 10| 300.0000000| 15|00:26:55| NA| NA| NA| +|x| 8| 15| 10| 300.0000000| 25|00:15:50|+0.60|0.80|0.9933| +|x| 4| 15| 47| 366.6669853| 35|00:15:38|+0.28|0.52|0.7812| +|x| 3| 15| 47| 350.0002390| 45|00:15:50|+0.42|0.56|0.6542| +|-| 9| 10| 47| 380.0002358| 55|00:15:38|-0.01|0.19|0.3684| +|=| 7| 10| 40| 517.1116655| 60|00:10:14|-0.06|0.11|0.4657| +|=| 6| 10| 40| 617.6508339| 65|00:10:05|-0.02|0.13|0.5350| +|=| 2| 10| 31| 603.2237331| 70|00:15:11|-0.05|0.09|0.5655| +|=| 5| 10| 31| 569.5322072| 75|00:15:50|-0.04|0.08|0.5023| +|=| 1| 10| 40| 634.4588008| 80|00:10:22|-0.04|0.06|0.5493| +|=| 11| 10| 10| 622.1908148| 90|00:15:43|-0.02|0.07|0.5701| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 622.1908148 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 7 117 0.78073 66 91 61 24 18 NA + +# 2023-08-30 01:27:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 7 117 0.78073 66 91 61 24 18 +34 10 37 0.92940 63 61 56 45 39 +32 9 46 0.60876 60 28 23 13 62 +31 7 121 0.49036 77 73 56 58 13 +40 8 119 0.88561 97 84 75 31 5 +# 2023-08-30 01:27:58 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 56| 1200.499816| 14|00:17:22| NA| NA| NA| +|x| 6| 14| 56| 1203.747517| 23|00:12:44|-0.07|0.47|1.0221| +|x| 3| 14| 56| 902.4983450| 32|00:15:50|-0.03|0.31|0.6502| +|x| 5| 14| 56| 751.8737587| 41|00:15:50|-0.02|0.23|0.4799| +|=| 4| 14| 31| 704.4026966| 50|00:15:31|-0.08|0.13|0.6273| +|=| 1| 14| 53| 790.7767058| 59|00:12:55|-0.06|0.12|0.6874| +|=| 2| 14| 53| 749.2371820| 68|00:15:32|-0.05|0.10|0.7027| +|=| 9| 14| 40| 717.8128887| 77|00:15:26|-0.06|0.07|0.7476| +|=| 11| 14| 32| 693.6319976| 86|00:15:34|-0.05|0.07|0.7614| +|=| 7| 14| 32| 746.3528342| 95|00:12:44|-0.02|0.08|0.7721| +|=| 10| 14| 32| 705.7753038| 104|00:15:50|-0.02|0.07|0.6993| +|=| 8| 14| 32| 671.9606952| 113|00:15:49|-0.02|0.07|0.6390| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 671.9606952 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 46 0.60876 60 28 23 13 62 10 + +# 2023-08-30 04:29:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 46 0.60876 60 28 23 13 62 +40 8 119 0.88561 97 84 75 31 5 +50 7 101 0.72865 90 98 65 29 3 +53 8 120 0.63194 71 81 59 1 21 +34 10 37 0.92940 63 61 56 45 39 +# 2023-08-30 04:29:13 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 313317.9, CPU sys time: 33.581, Wall-clock time: 43275.71 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 46 0.60876 60 28 23 13 62 +40 8 119 0.88561 97 84 75 31 5 +50 7 101 0.72865 90 98 65 29 3 +53 8 120 0.63194 71 81 59 1 21 +34 10 37 0.92940 63 61 56 45 39 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +32 -K9 -k46 -M0.60876 -Q60 -G28 -D23 -O13 -L62 +40 -K8 -k119 -M0.88561 -Q97 -G84 -D75 -O31 -L5 +50 -K7 -k101 -M0.72865 -Q90 -G98 -D65 -O29 -L3 +53 -K8 -k120 -M0.63194 -Q71 -G81 -D59 -O1 -L21 +34 -K10 -k37 -M0.9294 -Q63 -G61 -D56 -O45 -L39 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 04:29:13 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-2.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-2.txt new file mode 100644 index 000000000..54be36769 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-2.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 16:08:09 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 755205442 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 16:08:09 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 1211.534566| 16|00:02:07| NA| NA| NA| +|x| 2| 16| 13| 755.7672830| 32|00:02:10|+0.76|0.88|0.0586| +|x| 3| 16| 5| 672.0659730| 48|00:02:09|+0.53|0.69|0.3160| +|x| 4| 16| 5| 579.5404993| 64|00:02:09|+0.37|0.53|0.3304| +|-| 5| 10| 5| 563.6454942| 80|00:02:10|-0.03|0.18|0.9820| +|=| 6| 10| 5| 673.4523485| 90|00:01:40|-0.01|0.16|0.9462| +|=| 7| 10| 5| 751.9662651| 100|00:01:39|+0.04|0.18|0.8998| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 751.9662651 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 7 113 0.20052 86 64 63 47 34 NA + +# 2023-09-01 16:22:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 7 113 0.20052 86 64 63 47 34 +15 8 115 0.90809 46 76 29 8 24 +3 3 90 0.64480 76 55 12 73 43 +16 1 42 0.28740 82 64 47 50 24 +1 4 43 0.96801 72 58 34 72 39 +# 2023-09-01 16:22:17 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 17| 300.0000000| 16|00:01:49| NA| NA| NA| +|x| 2| 16| 17| 300.0000000| 27|00:01:40|+0.87|0.94|0.0314| +|x| 5| 16| 25| 366.7285300| 38|00:01:39|+0.48|0.65|0.0926| +|x| 6| 16| 25| 580.2834777| 49|00:01:39|+0.44|0.58|0.0759| +|-| 4| 11| 25| 524.2267822| 60|00:01:40|+0.16|0.33|0.8287| +|=| 7| 11| 25| 641.6462783| 66|00:01:39|+0.06|0.22|0.9143| +|=| 3| 11| 15| 621.1194123| 72|00:01:40|+0.02|0.16|0.9451| +|=| 1| 11| 5| 695.5839960| 78|00:01:39|-0.01|0.12|0.9406| +|=| 9| 11| 5| 673.8666351| 89|00:01:39|+0.00|0.11|0.9257| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 673.8666351 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 7 113 0.20052 86 64 63 47 34 NA + +# 2023-09-01 16:37:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 7 113 0.20052 86 64 63 47 34 +20 3 20 0.39755 90 46 53 8 14 +15 8 115 0.90809 46 76 29 8 24 +23 6 70 0.45666 84 50 92 38 47 +25 10 94 0.87076 52 84 77 48 12 +# 2023-09-01 16:37:27 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 189 +# remainingBudget: 311 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 25| 500.0517490| 14|00:02:07| NA| NA| NA| +|x| 4| 14| 25| 400.0258745| 23|00:01:39|-0.04|0.48|0.2109| +|x| 1| 14| 28| 673.6165890| 32|00:01:04|+0.11|0.41|0.2035| +|x| 3| 14| 34| 630.8815933| 41|00:01:37|+0.15|0.36|0.2437| +|=| 2| 14| 28| 564.1948912| 50|00:01:39|+0.16|0.33|0.1938| +|-| 9| 12| 34| 554.0340013| 59|00:01:37|-0.07|0.11|1.0237| +|=| 6| 12| 28| 646.8292520| 66|00:01:05|-0.03|0.11|0.9655| +|=| 5| 12| 5| 630.1288837| 73|00:01:37|+0.01|0.13|0.9481| +|=| 8| 12| 28| 591.9978560| 80|00:01:39|+0.01|0.12|0.9254| +|=| 7| 12| 28| 655.1788854| 87|00:01:06|-0.01|0.09|0.9228| +|=| 11| 12| 5| 708.2353345| 99|00:01:39|+0.00|0.09|0.9364| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 708.2353345 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 7 113 0.20052 86 64 63 47 34 NA + +# 2023-09-01 16:54:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 7 113 0.20052 86 64 63 47 34 +28 7 97 0.21425 77 58 82 2 46 +36 7 89 0.43589 97 61 69 75 44 +34 8 104 0.10744 70 59 55 57 1 +25 10 94 0.87076 52 84 77 48 12 +# 2023-09-01 16:54:21 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 28| 300.0000000| 13|00:01:39| NA| NA| NA| +|x| 4| 13| 28| 300.0000000| 21|00:01:30|+0.82|0.91|0.1162| +|x| 11| 13| 43| 603.4877620| 29|00:01:09|+0.35|0.57|0.1830| +|x| 1| 13| 43| 757.5905777| 37|00:01:09|+0.28|0.46|0.1911| +|=| 9| 13| 43| 706.2170960| 45|00:01:28|+0.18|0.35|0.3824| +|-| 2| 10| 43| 638.5142467| 53|00:01:30|-0.07|0.11|0.9084| +|=| 10| 10| 25| 621.8818000| 58|00:01:27|-0.09|0.07|0.9725| +|=| 3| 10| 25| 606.6917140| 63|00:01:27|-0.10|0.04|0.9742| +|=| 6| 10| 25| 674.9424481| 68|00:01:09|-0.07|0.05|0.9337| +|=| 5| 10| 25| 657.4667623| 73|00:01:28|-0.07|0.04|0.9205| +|=| 7| 10| 28| 707.1628015| 78|00:01:09|-0.05|0.04|0.9092| +|=| 8| 10| 28| 673.2325681| 83|00:01:30|-0.06|0.03|0.9163| +|=| 13| 10| 25| 661.8072473| 93|00:01:39|-0.04|0.04|0.9031| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 661.8072473 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 10 94 0.87076 52 84 77 48 12 15 + +# 2023-09-01 17:12:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 10 94 0.87076 52 84 77 48 12 +28 7 97 0.21425 77 58 82 2 46 +37 9 112 0.10201 87 42 69 54 68 +36 7 89 0.43589 97 61 69 75 44 +5 7 113 0.20052 86 64 63 47 34 +# 2023-09-01 17:12:43 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 381 +# remainingBudget: 119 +# currentBudget: 119 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 25| 300.0000000| 13|00:02:49| NA| NA| NA| +|x| 3| 13| 28| 400.0623445| 21|00:01:39|-0.35|0.33|1.3296| +|x| 6| 13| 28| 668.8782213| 29|00:01:39|+0.16|0.44|0.8269| +|x| 4| 13| 28| 576.6586660| 37|00:01:40|+0.18|0.39|0.7929| +|=| 11| 13| 25| 709.2831466| 45|00:01:39|+0.10|0.28|0.7671| +|=| 7| 13| 52| 793.8887883| 53|00:01:39|+0.09|0.24|0.7899| +|=| 1| 13| 52| 854.8235080| 61|00:01:39|+0.10|0.23|0.8202| +|-| 2| 9| 52| 785.4705695| 69|00:01:40|-0.03|0.10|0.9008| +|=| 10| 9| 52| 753.7663868| 73|00:01:39|-0.03|0.09|0.9116| +|=| 9| 9| 52| 728.4210663| 77|00:01:39|-0.03|0.07|0.9039| +|=| 12| 9| 52| 689.4736966| 81|00:01:40|-0.03|0.07|0.8887| +|=| 13| 9| 52| 673.6946507| 85|00:01:39|-0.00|0.08|0.8798| +|=| 5| 9| 52| 660.3472225| 89|00:01:39|+0.01|0.09|0.8677| +|=| 8| 9| 52| 634.6784177| 93|00:01:40|-0.01|0.06|0.8798| +|=| 15| 9| 52| 674.1268359| 102|00:01:39|-0.01|0.06|0.8878| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 674.1268359 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 10 37 0.94337 70 81 74 35 9 25 + +# 2023-09-01 17:38:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 10 37 0.94337 70 81 74 35 9 +28 7 97 0.21425 77 58 82 2 46 +25 10 94 0.87076 52 84 77 48 12 +36 7 89 0.43589 97 61 69 75 44 +37 9 112 0.10201 87 42 69 54 68 +# 2023-09-01 17:38:53 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 483 +# timeUsed: 0 +# remainingBudget: 17 +# currentBudget: 17 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 28758.9, CPU sys time: 6.631, Wall-clock time: 5443.712 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 10 37 0.94337 70 81 74 35 9 +28 7 97 0.21425 77 58 82 2 46 +25 10 94 0.87076 52 84 77 48 12 +36 7 89 0.43589 97 61 69 75 44 +37 9 112 0.10201 87 42 69 54 68 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +52 -K10 -k37 -M0.94337 -Q70 -G81 -D74 -O35 -L9 +28 -K7 -k97 -M0.21425 -Q77 -G58 -D82 -O2 -L46 +25 -K10 -k94 -M0.87076 -Q52 -G84 -D77 -O48 -L12 +36 -K7 -k89 -M0.43589 -Q97 -G61 -D69 -O75 -L44 +37 -K9 -k112 -M0.10201 -Q87 -G42 -D69 -O54 -L68 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-01 17:38:53 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-20.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-20.txt new file mode 100644 index 000000000..c930dc061 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-20.txt @@ -0,0 +1,294 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:27:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 970824485 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:27:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 8| 500.0038420| 16|00:16:26| NA| NA| NA| +|x| 2| 16| 8| 860.1819180| 32|00:13:31|+0.51|0.76|0.7577| +|x| 3| 16| 8| 673.4546120| 48|00:16:39|+0.38|0.59|0.9670| +|x| 4| 16| 8| 630.0996835| 64|00:16:26|+0.47|0.60|0.7991| +|-| 5| 8| 8| 746.5267432| 80|00:13:29|-0.03|0.18|0.7335| +|=| 6| 8| 8| 672.1056193| 88|00:16:39|-0.02|0.15|0.6057| +|=| 7| 8| 8| 618.9476737| 96|00:16:40|-0.02|0.13|0.5159| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 618.9476737 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 7 78 0.51991 62 92 37 65 46 NA + +# 2023-08-29 18:17:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 7 78 0.51991 62 92 37 65 46 +1 6 24 0.26893 68 16 14 30 71 +3 3 82 0.42865 96 1 12 76 93 +13 7 22 0.89219 35 23 21 54 50 +5 9 46 0.61782 46 6 36 41 76 +# 2023-08-29 18:17:06 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 1205.033130| 17|00:15:32| NA| NA| NA| +|x| 6| 17| 18| 752.5165650| 29|00:15:00|+0.00|0.50|0.4706| +|x| 7| 17| 18| 601.6777100| 41|00:15:00|+0.00|0.33|0.3137| +|x| 2| 17| 18| 752.1275742| 53|00:11:50|+0.02|0.26|0.4536| +|=| 1| 17| 18| 701.7120684| 65|00:14:41|+0.10|0.28|0.5218| +|=| 5| 17| 18| 785.7625852| 77|00:11:54|+0.06|0.21|0.5730| +|-| 4| 11| 26| 744.9843856| 89|00:14:41|+0.11|0.24|0.5654| +|=| 3| 11| 26| 689.3613374| 95|00:15:00|+0.10|0.21|0.5052| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 689.3613374 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 8 115 0.38814 57 65 5 49 11 8 + +# 2023-08-29 20:10:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 8 115 0.38814 57 65 5 49 11 +18 6 78 0.22185 67 92 63 25 48 +23 9 55 0.71762 52 4 10 22 94 +25 9 106 0.45340 16 10 61 4 29 +8 7 78 0.51991 62 92 37 65 46 +# 2023-08-29 20:10:47 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 23| 500.0011230| 15|00:26:11| NA| NA| NA| +|x| 5| 15| 34| 851.2272525| 25|00:12:42|+0.11|0.56|1.1066| +|x| 3| 15| 34| 667.4848350| 35|00:16:40|+0.06|0.37|0.6800| +|x| 1| 15| 33| 625.5309052| 45|00:16:31|+0.04|0.28|0.6630| +|=| 2| 15| 34| 741.0546378| 55|00:13:18|-0.02|0.19|0.7100| +|=| 6| 15| 34| 667.5455315| 65|00:16:40|-0.01|0.16|0.5978| +|=| 7| 15| 34| 615.0390270| 75|00:16:39|-0.01|0.13|0.5159| +|=| 4| 15| 34| 600.6591495| 85|00:16:32|+0.05|0.17|0.5239| +|=| 8| 15| 34| 667.7491099| 95|00:13:07|+0.07|0.17|0.5532| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 667.7491099 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 102 0.32352 55 10 19 44 19 26 + +# 2023-08-29 22:39:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 102 0.32352 55 10 19 44 19 +26 8 115 0.38814 57 65 5 49 11 +23 9 55 0.71762 52 4 10 22 94 +18 6 78 0.22185 67 92 63 25 48 +33 6 124 0.17426 49 55 14 83 18 +# 2023-08-29 22:39:12 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 39| 1202.802519| 15|00:18:32| NA| NA| NA| +|x| 9| 15| 39| 851.4012645| 25|00:16:20|+0.61|0.80|0.4906| +|x| 4| 15| 23| 734.6934250| 35|00:16:24|+0.21|0.48|0.8941| +|x| 7| 15| 23| 626.0200688| 45|00:16:40|+0.08|0.31|0.9718| +|=| 3| 15| 23| 560.8160550| 55|00:16:39|+0.06|0.25|0.7697| +|=| 5| 15| 23| 670.8456708| 65|00:11:46|+0.06|0.21|0.7759| +|=| 1| 15| 23| 646.4391464| 75|00:16:23|+0.03|0.17|0.8056| +|=| 6| 15| 23| 603.1342531| 85|00:16:40|+0.03|0.15|0.7042| +|=| 2| 15| 23| 671.7851759| 95|00:12:04|+0.07|0.17|0.7167| +|=| 8| 15| 34| 723.0431058| 105|00:11:37|+0.02|0.11|0.7328| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 723.0431058 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 102 0.32352 55 10 19 44 19 26 + +# 2023-08-30 01:12:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 102 0.32352 55 10 19 44 19 +23 9 55 0.71762 52 4 10 22 94 +26 8 115 0.38814 57 65 5 49 11 +44 10 102 0.68472 36 28 14 24 43 +33 6 124 0.17426 49 55 14 83 18 +# 2023-08-30 01:12:21 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 34| 300.0000000| 14|00:23:20| NA| NA| NA| +|x| 1| 14| 23| 400.0000000| 23|00:16:31|+0.33|0.67|0.2443| +|x| 5| 14| 26| 667.3207300| 32|00:12:04|+0.29|0.53|0.5203| +|x| 7| 14| 26| 575.4905475| 41|00:16:40|+0.34|0.50|0.4070| +|-| 6| 10| 26| 520.3924380| 50|00:16:40|+0.03|0.22|0.3690| +|=| 2| 10| 49| 633.8629912| 55|00:10:58|+0.04|0.20|0.4483| +|=| 10| 10| 49| 714.8133391| 60|00:11:09|+0.01|0.15|0.5367| +|=| 8| 10| 49| 776.0920105| 65|00:10:56|-0.01|0.12|0.5714| +|=| 9| 10| 49| 745.4205001| 70|00:16:19|+0.02|0.13|0.5871| +|=| 3| 10| 49| 700.8784501| 75|00:16:40|+0.01|0.11|0.6203| +|=| 4| 10| 49| 682.6178899| 80|00:16:13|+0.06|0.14|0.6164| +|=| 12| 10| 49| 667.4018115| 90|00:16:29|+0.07|0.14|0.6285| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 667.4018115 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 109 0.19925 75 29 31 35 27 34 + +# 2023-08-30 04:16:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 109 0.19925 75 29 31 35 27 +23 9 55 0.71762 52 4 10 22 94 +34 9 102 0.32352 55 10 19 44 19 +33 6 124 0.17426 49 55 14 83 18 +26 8 115 0.38814 57 65 5 49 11 +# 2023-08-30 04:16:26 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 481 +# remainingBudget: 19 +# currentBudget: 19 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 49| 300.0000000| 6|00:16:40| NA| NA| NA| +|x| 9| 6| 23| 400.0005615| 7|00:09:39|+0.00|0.50|0.4167| +|x| 3| 6| 23| 366.6670410| 8|00:09:59|+0.00|0.33|0.2778| +|x| 2| 6| 34| 575.6922080| 9|00:08:29|-0.01|0.24|0.4028| +|=| 6| 6| 34| 520.5537664| 10|00:09:59|-0.01|0.19|0.3250| +|=| 1| 6| 23| 520.1656135| 11|00:09:38|+0.05|0.21|0.3685| +|=| 10| 6| 23| 617.8675456| 12|00:08:14|+0.13|0.26|0.4097| +|=| 5| 6| 49| 687.9677239| 13|00:08:14|+0.16|0.27|0.4261| +|-| 4| 5| 23| 671.7851759| 14|00:09:39|-0.07|0.04|0.5933| +|.| 11| 5| 23| 634.6066583| 14|00:00:00|-0.07|0.04|0.5279| +|.| 12| 5| 23| 622.3711068| 14|00:00:00|-0.02|0.07|0.5451| +|.| 8| 5| 23| 672.3445506| 14|00:00:00|-0.03|0.05|0.5684| +|.| 7| 5| 23| 643.7026621| 14|00:00:00|-0.03|0.05|0.5220| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 639.1401337 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 109 0.19925 75 29 31 35 27 34 + +# 2023-08-30 05:47:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 109 0.19925 75 29 31 35 27 +23 9 55 0.71762 52 4 10 22 94 +34 9 102 0.32352 55 10 19 44 19 +33 6 124 0.17426 49 55 14 83 18 +26 8 115 0.38814 57 65 5 49 11 +# 2023-08-30 05:47:00 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 320240.1, CPU sys time: 43.265, Wall-clock time: 47988.61 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 109 0.19925 75 29 31 35 27 +23 9 55 0.71762 52 4 10 22 94 +34 9 102 0.32352 55 10 19 44 19 +33 6 124 0.17426 49 55 14 83 18 +26 8 115 0.38814 57 65 5 49 11 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k109 -M0.19925 -Q75 -G29 -D31 -O35 -L27 +23 -K9 -k55 -M0.71762 -Q52 -G4 -D10 -O22 -L94 +34 -K9 -k102 -M0.32352 -Q55 -G10 -D19 -O44 -L19 +33 -K6 -k124 -M0.17426 -Q49 -G55 -D14 -O83 -L18 +26 -K8 -k115 -M0.38814 -Q57 -G65 -D5 -O49 -L11 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 05:47:00 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-21.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-21.txt new file mode 100644 index 000000000..00325f46e --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-21.txt @@ -0,0 +1,299 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:26:01 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1087372786 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:26:01 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:15:44| NA| NA| NA| +|x| 2| 16| 4| 752.7302920| 32|00:14:58|-0.03|0.49|0.8269| +|x| 3| 16| 4| 668.4872207| 48|00:15:38|+0.27|0.51|0.7911| +|x| 4| 16| 4| 576.3654155| 64|00:15:44|+0.31|0.48|0.7726| +|-| 5| 8| 4| 705.3219590| 80|00:14:56|+0.06|0.25|0.5457| +|=| 6| 8| 4| 671.1041768| 88|00:15:21|+0.17|0.31|0.5635| +|=| 7| 8| 4| 618.0892944| 96|00:15:44|+0.14|0.27|0.4858| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 618.0892944 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-29 18:14:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +10 6 31 0.41104 93 60 100 33 2 +13 7 7 0.72218 76 87 50 97 48 +12 4 56 0.24579 71 81 79 31 38 +8 4 89 0.57667 20 64 36 33 85 +# 2023-08-29 18:14:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 1202.141994| 17|00:16:58| NA| NA| NA| +|x| 3| 17| 10| 852.4911590| 29|00:15:41|-0.12|0.44|1.0409| +|x| 4| 17| 10| 668.3274393| 41|00:15:45|-0.04|0.31|0.9449| +|x| 1| 17| 10| 576.2455795| 53|00:15:45|+0.04|0.28|0.7714| +|=| 7| 17| 10| 520.9964636| 65|00:15:45|+0.10|0.28|0.6422| +|-| 6| 10| 10| 517.5011557| 77|00:15:41|-0.05|0.12|0.4664| +|=| 5| 10| 10| 617.9909597| 82|00:13:11|-0.03|0.12|0.5632| +|=| 2| 10| 4| 693.4515744| 87|00:13:13|-0.04|0.09|0.6052| +|=| 9| 10| 4| 671.9591290| 97|00:15:41|-0.01|0.10|0.6280| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 671.9591290 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-29 20:31:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +10 6 31 0.41104 93 60 100 33 2 +20 8 99 0.27630 38 60 49 13 6 +17 6 56 0.66834 53 92 47 69 6 +13 7 7 0.72218 76 87 50 97 48 +# 2023-08-29 20:31:54 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 31| 500.0099890| 14|00:22:24| NA| NA| NA| +|x| 6| 14| 4| 500.0144550| 23|00:15:36|-0.25|0.37|1.1334| +|x| 7| 14| 4| 433.3429700| 32|00:15:45|-0.13|0.25|0.6873| +|x| 4| 14| 4| 400.0072275| 41|00:15:44|-0.08|0.19|0.4984| +|=| 2| 14| 4| 561.0978988| 50|00:13:10|+0.00|0.20|0.5778| +|=| 5| 14| 4| 671.1062712| 59|00:13:34|-0.01|0.16|0.6494| +|=| 8| 14| 4| 749.6607373| 68|00:12:50|-0.04|0.11|0.6944| +|=| 3| 14| 4| 718.4532799| 77|00:15:38|+0.03|0.15|0.6925| +|=| 9| 14| 4| 694.1828672| 86|00:15:38|+0.06|0.17|0.6819| +|=| 1| 14| 4| 654.7645805| 95|00:15:45|+0.06|0.15|0.6178| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 654.7645805 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-29 23:08:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +10 6 31 0.41104 93 60 100 33 2 +20 8 99 0.27630 38 60 49 13 6 +17 6 56 0.66834 53 92 47 69 6 +34 8 94 0.19873 65 11 93 1 22 +# 2023-08-29 23:08:02 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 34| 1207.127828| 14|00:18:49| NA| NA| NA| +|x| 7| 14| 34| 753.5639140| 23|00:15:44|+0.00|0.50|0.4643| +|x| 8| 14| 17| 908.2842803| 32|00:13:05|-0.12|0.25|0.6939| +|x| 6| 14| 4| 810.5209245| 41|00:15:34|+0.07|0.30|0.6684| +|=| 3| 14| 4| 748.4169552| 50|00:15:34|+0.06|0.25|0.7139| +|=| 9| 14| 4| 707.0173903| 59|00:15:36|+0.12|0.27|0.6441| +|=| 2| 14| 4| 778.2235609| 68|00:12:56|+0.12|0.25|0.6663| +|=| 5| 14| 4| 833.5891324| 77|00:12:47|+0.07|0.19|0.7372| +|=| 1| 14| 4| 774.3014510| 86|00:15:44|+0.06|0.16|0.6637| +|=| 10| 14| 4| 746.8726703| 95|00:15:38|+0.07|0.17|0.6798| +|=| 4| 14| 4| 706.2478821| 104|00:15:45|+0.07|0.15|0.6238| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 706.2478821 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-30 01:55:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +44 6 35 0.41958 90 68 77 33 18 +10 6 31 0.41104 93 60 100 33 2 +43 9 105 0.60349 80 63 70 37 36 +20 8 99 0.27630 38 60 49 13 6 +# 2023-08-30 01:55:20 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 392 +# remainingBudget: 108 +# currentBudget: 108 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 4| 300.0000000| 13|00:17:30| NA| NA| NA| +|x| 2| 13| 44| 750.3713645| 21|00:14:29|+0.00|0.50|0.4615| +|x| 10| 13| 44| 666.9147173| 29|00:17:09|+0.11|0.41|0.6143| +|x| 1| 13| 44| 575.1860380| 37|00:17:30|+0.08|0.31|0.4610| +|=| 3| 13| 44| 560.1501100| 45|00:17:09|+0.17|0.34|0.5087| +|-| 8| 7| 44| 667.1313020| 53|00:14:27|+0.06|0.21|0.5843| +|=| 6| 7| 4| 646.6397294| 55|00:15:28|-0.04|0.11|0.6759| +|=| 11| 7| 4| 718.4448755| 57|00:14:06|-0.04|0.09|0.6932| +|=| 7| 7| 4| 671.9510004| 59|00:15:44|-0.03|0.08|0.6106| +|=| 9| 7| 4| 654.7578570| 61|00:15:28|+0.02|0.12|0.6219| +|=| 4| 7| 4| 622.5071427| 63|00:15:44|+0.02|0.11|0.5633| +|=| 5| 7| 4| 672.3938919| 65|00:14:10|-0.00|0.08|0.5925| +|=| 13| 7| 4| 659.1378265| 72|00:15:42|+0.01|0.09|0.6071| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 659.1378265 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-30 05:20:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +43 9 105 0.60349 80 63 70 37 36 +44 6 35 0.41958 90 68 77 33 18 +20 8 99 0.27630 38 60 49 13 6 +10 6 31 0.41104 93 60 100 33 2 +# 2023-08-30 05:20:01 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 464 +# remainingBudget: 36 +# currentBudget: 36 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 7| 56| 1220.195684| 7|00:13:57| NA| NA| NA| +|x| 1| 7| 56| 760.0978420| 9|00:17:29|+0.00|0.50|0.4286| +|x| 8| 7| 20| 907.6299637| 11|00:13:44|+0.09|0.39|0.5386| +|x| 10| 7| 44| 805.8524170| 13|00:16:49|-0.10|0.17|0.7435| +|=| 2| 7| 44| 884.8304794| 15|00:13:39|-0.04|0.17|0.7323| +|=| 5| 7| 44| 941.1596405| 17|00:13:53|-0.10|0.09|0.8097| +|=| 6| 7| 20| 880.7306126| 19|00:16:52|-0.12|0.04|0.8412| +|=| 13| 7| 20| 833.1459126| 21|00:16:47|-0.12|0.02|0.8413| +|=| 4| 7| 20| 773.9074779| 23|00:17:30|-0.10|0.02|0.7377| +|=| 11| 7| 4| 818.9579340| 25|00:13:50|-0.07|0.04|0.7351| +|=| 7| 7| 4| 771.7799400| 27|00:17:29|-0.06|0.04|0.6638| +|=| 9| 7| 4| 749.1332422| 29|00:16:51|-0.05|0.04|0.6780| +|=| 3| 7| 4| 729.9692295| 31|00:16:49|-0.05|0.03|0.6943| +|=| 12| 7| 4| 699.2571417| 33|00:17:30|-0.04|0.03|0.6422| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 699.2571417 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 9 99 0.34869 46 61 80 14 24 NA + +# 2023-08-30 09:03:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +55 10 118 0.31386 62 82 64 22 17 +20 8 99 0.27630 38 60 49 13 6 +56 7 27 0.31143 87 61 91 28 25 +10 6 31 0.41104 93 60 100 33 2 +# 2023-08-30 09:03:19 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 319729.4, CPU sys time: 23.457, Wall-clock time: 59838.07 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 9 99 0.34869 46 61 80 14 24 +55 10 118 0.31386 62 82 64 22 17 +20 8 99 0.27630 38 60 49 13 6 +56 7 27 0.31143 87 61 91 28 25 +10 6 31 0.41104 93 60 100 33 2 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +4 -K9 -k99 -M0.34869 -Q46 -G61 -D80 -O14 -L24 +55 -K10 -k118 -M0.31386 -Q62 -G82 -D64 -O22 -L17 +20 -K8 -k99 -M0.2763 -Q38 -G60 -D49 -O13 -L6 +56 -K7 -k27 -M0.31143 -Q87 -G61 -D91 -O28 -L25 +10 -K6 -k31 -M0.41104 -Q93 -G60 -D100 -O33 -L2 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 09:03:19 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-22.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-22.txt new file mode 100644 index 000000000..ff9546f7e --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-22.txt @@ -0,0 +1,260 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:23:55 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1413834353 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:23:55 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1202.002511| 16|00:17:41| NA| NA| NA| +|x| 2| 16| 9| 860.6749140| 32|00:21:24|+0.16|0.58|0.9444| +|x| 3| 16| 9| 673.7832760| 48|00:21:59|+0.21|0.47|0.6215| +|x| 4| 16| 9| 580.3374570| 64|00:21:59|+0.29|0.47|0.4768| +|-| 5| 9| 9| 564.2724760| 80|00:21:23|-0.05|0.16|0.6130| +|=| 6| 9| 9| 671.0130665| 89|00:14:18|+0.01|0.18|0.6329| +|=| 7| 9| 9| 749.5421993| 98|00:14:02|+0.08|0.21|0.6641| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 749.5421993 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 7 115 0.7745 80 53 41 31 45 NA + +# 2023-08-29 18:36:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 7 115 0.77450 80 53 41 31 45 +16 5 104 0.46153 85 34 56 63 5 +5 6 11 0.34739 72 78 39 49 96 +13 10 12 0.20507 39 75 44 67 82 +10 5 40 0.84341 65 65 76 91 3 +# 2023-08-29 18:36:46 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 17| 500.0000000| 16|00:25:00| NA| NA| NA| +|x| 4| 16| 17| 400.0000000| 27|00:16:29|+0.00|0.50|0.4687| +|x| 2| 16| 17| 433.3334953| 38|00:16:21|+0.27|0.51|0.4031| +|x| 6| 16| 21| 625.2718525| 49|00:13:32|+0.40|0.55|0.4017| +|-| 5| 12| 9| 600.9481944| 60|00:16:21|+0.03|0.23|0.6980| +|=| 3| 12| 9| 550.7901620| 67|00:16:30|+0.03|0.19|0.5876| +|=| 1| 12| 9| 646.5843987| 74|00:13:10|+0.07|0.21|0.6638| +|=| 7| 12| 21| 715.6750680| 81|00:13:29|+0.05|0.17|0.7021| +|=| 9| 12| 21| 669.4889493| 93|00:18:20|+0.04|0.15|0.6225| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 669.4889493 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 8 101 0.87981 72 35 72 86 29 10 + +# 2023-08-29 21:06:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 8 101 0.87981 72 35 72 86 29 +17 8 101 0.36840 96 7 21 53 24 +9 7 115 0.77450 80 53 41 31 45 +16 5 104 0.46153 85 34 56 63 5 +26 9 49 0.48010 43 37 52 58 42 +# 2023-08-29 21:06:03 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 21| 300.0000000| 14|00:25:40| NA| NA| NA| +|x| 3| 14| 21| 300.0000000| 23|00:18:20|+1.00|1.00|0.0000| +|x| 5| 14| 26| 366.6667040| 32|00:17:59|+0.22|0.48|0.7323| +|x| 2| 14| 9| 400.0031403| 41|00:18:03|+0.15|0.36|0.8566| +|=| 8| 14| 9| 420.0049906| 50|00:18:02|+0.17|0.34|0.8323| +|-| 7| 11| 36| 550.3609887| 59|00:15:22|-0.04|0.13|0.8634| +|=| 1| 11| 36| 644.6550886| 65|00:14:46|-0.08|0.08|0.9643| +|=| 6| 11| 17| 716.0033574| 71|00:14:32|-0.07|0.06|0.9300| +|=| 4| 11| 17| 669.7807621| 77|00:18:19|-0.05|0.06|0.8872| +|=| 9| 11| 17| 632.8026859| 83|00:18:19|-0.03|0.07|0.8409| +|=| 11| 11| 17| 620.7331514| 94|00:18:08|+0.01|0.10|0.8378| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 620.7331514 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 8 101 0.3684 96 7 21 53 24 9 + +# 2023-08-30 00:23:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 8 101 0.36840 96 7 21 53 24 +36 9 85 0.42328 98 19 67 84 49 +21 8 101 0.87981 72 35 72 86 29 +26 9 49 0.48010 43 37 52 58 42 +9 7 115 0.77450 80 53 41 31 45 +# 2023-08-30 00:23:40 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 26| 1200.906534| 13|00:16:36| NA| NA| NA| +|x| 2| 13| 43| 850.5126465| 21|00:18:05|+0.58|0.79|0.3564| +|x| 5| 13| 43| 733.6752390| 29|00:18:07|+0.54|0.69|0.4694| +|x| 1| 13| 43| 850.4278900| 37|00:14:50|+0.33|0.50|0.7192| +|-| 11| 7| 43| 780.3463876| 45|00:18:06|+0.18|0.35|0.8172| +|=| 6| 7| 43| 853.6863428| 47|00:12:09|+0.01|0.18|0.9225| +|=| 7| 7| 43| 906.1278770| 49|00:12:11|-0.06|0.09|0.9671| +|=| 10| 7| 43| 830.3618924| 51|00:18:20|-0.05|0.08|0.8325| +|=| 4| 7| 43| 771.4327932| 53|00:18:19|-0.04|0.07|0.7308| +|=| 3| 7| 43| 724.2895139| 55|00:18:19|-0.04|0.07|0.6513| +|=| 9| 7| 43| 685.7177399| 57|00:18:20|-0.03|0.06|0.5874| +|=| 8| 7| 43| 670.2418599| 59|00:17:09|-0.02|0.06|0.6088| +|=| 13| 7| 43| 711.1430937| 66|00:14:55|+0.01|0.08|0.6141| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 711.1430937 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 92 0.85742 89 24 73 61 39 21 + +# 2023-08-30 03:59:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 92 0.85742 89 24 73 61 39 +17 8 101 0.36840 96 7 21 53 24 +36 9 85 0.42328 98 19 67 84 49 +26 9 49 0.48010 43 37 52 58 42 +9 7 115 0.77450 80 53 41 31 45 +# 2023-08-30 03:59:14 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 351 +# remainingBudget: 149 +# currentBudget: 149 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 15| 54| 500.0000000| 15|00:28:43| NA| NA| NA| +|x| 10| 15| 54| 400.0000000| 25|00:18:21|+0.00|0.50|0.4667| +|x| 6| 15| 17| 667.9980927| 35|00:14:59|-0.04|0.31|0.6009| +|x| 7| 15| 17| 801.6958120| 45|00:14:55|+0.04|0.28|0.7025| +|=| 11| 15| 17| 741.3642108| 55|00:18:09|-0.02|0.18|0.8024| +|=| 5| 15| 45| 706.8310142| 65|00:18:10|-0.04|0.13|0.8181| +|=| 12| 15| 45| 777.4261740| 75|00:15:20|-0.00|0.14|0.8271| +|=| 2| 15| 45| 742.7479031| 85|00:18:11|-0.00|0.12|0.8462| +|=| 3| 15| 45| 693.5536917| 95|00:18:20|-0.00|0.11|0.7489| +|=| 1| 15| 45| 744.8548515| 105|00:15:16|+0.04|0.13|0.7585| +|=| 13| 15| 43| 785.8960715| 115|00:15:17|+0.05|0.14|0.7685| +|=| 4| 15| 43| 745.4047323| 125|00:18:20|+0.05|0.13|0.7040| +|=| 9| 15| 43| 711.1428298| 135|00:18:19|+0.04|0.12|0.6496| +|=| 8| 15| 43| 696.0617119| 145|00:18:09|+0.04|0.11|0.6636| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 696.0617119 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 92 0.85742 89 24 73 61 39 21 + +# 2023-08-30 08:09:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 92 0.85742 89 24 73 61 39 +45 7 65 0.32395 100 14 33 51 27 +17 8 101 0.36840 96 7 21 53 24 +54 9 100 0.94985 84 23 76 60 35 +51 8 38 0.48590 51 10 56 46 43 +# 2023-08-30 08:09:51 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 359925.3, CPU sys time: 33.671, Wall-clock time: 56755.39 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 92 0.85742 89 24 73 61 39 +45 7 65 0.32395 100 14 33 51 27 +17 8 101 0.36840 96 7 21 53 24 +54 9 100 0.94985 84 23 76 60 35 +51 8 38 0.48590 51 10 56 46 43 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +43 -K10 -k92 -M0.85742 -Q89 -G24 -D73 -O61 -L39 +45 -K7 -k65 -M0.32395 -Q100 -G14 -D33 -O51 -L27 +17 -K8 -k101 -M0.3684 -Q96 -G7 -D21 -O53 -L24 +54 -K9 -k100 -M0.94985 -Q84 -G23 -D76 -O60 -L35 +51 -K8 -k38 -M0.4859 -Q51 -G10 -D56 -O46 -L43 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 08:09:51 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-23.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-23.txt new file mode 100644 index 000000000..633c38787 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-23.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:21:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 593498796 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:21:15 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:19:10| NA| NA| NA| +|x| 2| 16| 5| 400.0009365| 32|00:19:10|+0.42|0.71|0.9511| +|x| 3| 16| 5| 673.3845483| 48|00:17:40|+0.18|0.45|0.9193| +|x| 4| 16| 5| 580.0384112| 64|00:19:10|+0.29|0.46|0.7688| +|-| 5| 11| 9| 564.0456144| 80|00:19:09|-0.06|0.15|0.6048| +|=| 6| 11| 5| 670.6009838| 91|00:16:46|-0.05|0.13|0.6760| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 670.6009838 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 123 0.50134 95 0 98 94 86 NA + +# 2023-08-29 18:12:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 123 0.50134 95 0 98 94 86 +9 6 20 0.63902 99 55 42 26 15 +11 6 9 0.77292 66 54 8 11 69 +15 6 124 0.51848 80 73 55 50 48 +16 4 86 0.78363 49 64 96 6 100 +# 2023-08-29 18:12:24 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 15| 1203.074561| 18|00:24:45| NA| NA| NA| +|x| 6| 18| 15| 1208.904538| 31|00:17:39|-0.62|0.19|1.3880| +|x| 2| 18| 22| 975.5619810| 44|00:19:07|-0.07|0.29|0.9318| +|x| 4| 18| 22| 806.6714857| 57|00:19:10|+0.02|0.26|0.8008| +|=| 1| 18| 22| 705.3371886| 70|00:19:12|+0.08|0.26|0.6814| +|-| 5| 15| 22| 671.1143575| 83|00:19:07|-0.09|0.09|0.6596| +|=| 3| 15| 22| 749.6847290| 93|00:17:23|-0.05|0.10|0.6758| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 749.6847290 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 9 52 0.66257 97 64 20 24 42 9 + +# 2023-08-29 20:28:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 9 52 0.66257 97 64 20 24 42 +18 10 52 0.61822 82 46 34 80 69 +19 9 59 0.29022 92 11 87 71 31 +21 8 25 0.61772 77 69 44 58 73 +25 7 118 0.61788 62 45 57 60 70 +# 2023-08-29 20:28:50 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 41| 500.0000000| 17|00:32:37| NA| NA| NA| +|x| 4| 17| 41| 400.0000000| 29|00:19:14|-0.07|0.46|1.0439| +|x| 7| 17| 40| 667.6256820| 41|00:18:28|+0.16|0.44|0.7521| +|x| 5| 17| 40| 625.7193450| 53|00:19:16|+0.19|0.39|0.7912| +|=| 3| 17| 40| 744.5490170| 65|00:18:04|-0.04|0.17|0.9476| +|=| 2| 17| 22| 704.5763518| 77|00:19:13|+0.00|0.17|0.8959| +|=| 6| 17| 22| 778.2591549| 89|00:17:50|+0.05|0.18|0.8880| +|=| 1| 17| 22| 718.4767605| 101|00:19:14|+0.06|0.18|0.8579| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 718.4767605 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 9 52 0.66257 97 64 20 24 42 9 + +# 2023-08-29 23:12:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 9 52 0.66257 97 64 20 24 42 +40 10 68 0.42840 99 4 54 64 16 +35 10 37 0.96782 81 43 8 26 39 +18 10 52 0.61822 82 46 34 80 69 +19 9 59 0.29022 92 11 87 71 31 +# 2023-08-29 23:12:48 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 22| 300.0000000| 16|00:32:34| NA| NA| NA| +|x| 8| 16| 49| 400.0000005| 27|00:19:13|-0.26|0.37|1.2514| +|x| 5| 16| 22| 433.3403943| 38|00:19:12|-0.07|0.29|1.0371| +|x| 2| 16| 22| 450.0052958| 49|00:19:12|-0.01|0.24|0.9678| +|=| 7| 16| 22| 601.2702306| 60|00:18:18|+0.05|0.24|0.9135| +|=| 4| 16| 22| 551.0585255| 71|00:19:12|+0.05|0.21|0.8957| +|=| 3| 16| 22| 646.7797301| 82|00:18:20|-0.02|0.12|0.9514| +|=| 1| 16| 22| 603.4322639| 93|00:19:11|-0.01|0.12|0.8977| +|=| 6| 16| 22| 671.9793427| 104|00:17:47|+0.02|0.13|0.9080| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 671.9793427 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 9 52 0.66257 97 64 20 24 42 9 + +# 2023-08-30 02:15:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 9 52 0.66257 97 64 20 24 42 +40 10 68 0.42840 99 4 54 64 16 +45 10 37 0.99528 71 33 30 31 32 +46 10 53 0.76565 93 64 70 22 26 +35 10 37 0.96782 81 43 8 26 39 +# 2023-08-30 02:15:51 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 40| 1200.841626| 15|00:33:08| NA| NA| NA| +|x| 4| 15| 40| 750.4208130| 25|00:19:11|+0.00|0.50|0.4667| +|x| 6| 15| 35| 900.6977203| 35|00:18:30|+0.02|0.34|0.4971| +|x| 2| 15| 35| 800.5232915| 45|00:19:10|-0.09|0.18|0.7565| +|=| 1| 15| 35| 700.4186332| 55|00:19:13|-0.07|0.14|0.5939| +|=| 9| 15| 35| 633.6821943| 65|00:19:13|-0.06|0.12|0.4893| +|=| 5| 15| 58| 614.8584343| 75|00:19:13|-0.04|0.11|0.5639| +|=| 7| 15| 58| 688.0532524| 85|00:18:28|-0.03|0.10|0.5794| +|=| 8| 15| 58| 667.1584766| 95|00:19:12|-0.05|0.06|0.6369| +|=| 3| 15| 58| 720.6074179| 105|00:18:28|-0.02|0.09|0.6463| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 58 mean value: 720.6074179 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +58 58 10 84 0.78147 96 52 24 36 19 22 + +# 2023-08-30 05:39:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +58 10 84 0.78147 96 52 24 36 19 +62 10 59 0.98969 84 46 51 15 8 +56 10 15 0.89013 90 56 68 18 16 +57 10 50 0.80525 88 42 78 19 8 +59 9 57 0.59452 89 8 61 73 41 +# 2023-08-30 05:39:43 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 439139.5, CPU sys time: 51.017, Wall-clock time: 47907.16 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +58 10 84 0.78147 96 52 24 36 19 +62 10 59 0.98969 84 46 51 15 8 +56 10 15 0.89013 90 56 68 18 16 +57 10 50 0.80525 88 42 78 19 8 +59 9 57 0.59452 89 8 61 73 41 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +58 -K10 -k84 -M0.78147 -Q96 -G52 -D24 -O36 -L19 +62 -K10 -k59 -M0.98969 -Q84 -G46 -D51 -O15 -L8 +56 -K10 -k15 -M0.89013 -Q90 -G56 -D68 -O18 -L16 +57 -K10 -k50 -M0.80525 -Q88 -G42 -D78 -O19 -L8 +59 -K9 -k57 -M0.59452 -Q89 -G8 -D61 -O73 -L41 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 05:39:43 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-24.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-24.txt new file mode 100644 index 000000000..3c5701374 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-24.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:22:30 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1478567311 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:22:30 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 500.0000000| 16|00:25:25| NA| NA| NA| +|x| 2| 16| 5| 400.0000000| 32|00:26:00|+0.13|0.57|0.9038| +|x| 3| 16| 9| 668.8904857| 48|00:21:15|+0.26|0.50|0.8035| +|x| 4| 16| 3| 801.8136130| 64|00:21:37|+0.11|0.33|0.8164| +|=| 5| 16| 3| 701.4508904| 80|00:26:00|+0.11|0.28|0.7577| +|-| 6| 12| 5| 673.9608905| 96|00:25:24|-0.02|0.15|0.7311| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 670.9684295 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 10 78 0.78787 17 46 12 5 8 NA + +# 2023-08-29 18:48:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 10 78 0.78787 17 46 12 5 8 +5 10 97 0.69186 94 5 66 10 24 +9 10 79 0.53877 56 24 75 84 45 +11 8 114 0.19865 23 58 38 84 0 +16 7 8 0.77146 76 31 39 38 70 +# 2023-08-29 18:48:14 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 28| 500.0000000| 18|00:35:31| NA| NA| NA| +|x| 6| 18| 23| 500.0000445| 31|00:27:17|+0.44|0.72|0.5247| +|x| 4| 18| 23| 740.3681213| 44|00:24:32|+0.29|0.53|0.7340| +|x| 1| 18| 27| 676.2098742| 57|00:27:17|+0.28|0.46|0.7266| +|-| 3| 10| 27| 781.6616770| 70|00:24:22|-0.10|0.12|0.9652| +|=| 2| 10| 27| 701.3847308| 75|00:15:59|-0.08|0.10|0.7935| +|=| 5| 10| 27| 644.0440550| 80|00:15:59|-0.06|0.09|0.6739| +|=| 8| 10| 19| 715.8105945| 90|00:17:56|-0.03|0.10|0.6950| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 715.8105945 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 26 0.71959 93 37 25 32 32 11 + +# 2023-08-29 21:57:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 26 0.71959 93 37 25 32 32 +23 6 53 0.83122 83 65 6 38 22 +27 8 70 0.14615 57 48 66 57 14 +10 10 78 0.78787 17 46 12 5 8 +5 10 97 0.69186 94 5 66 10 24 +# 2023-08-29 21:57:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 186 +# remainingBudget: 314 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 19| 300.0000000| 16|00:30:00| NA| NA| NA| +|x| 3| 16| 36| 750.3916350| 27|00:18:01|-0.06|0.47|0.8167| +|x| 8| 16| 36| 901.1676117| 38|00:17:50|-0.10|0.27|0.9803| +|x| 6| 16| 10| 801.4244795| 49|00:19:54|+0.07|0.30|0.8657| +|=| 1| 16| 10| 741.1494438| 60|00:19:54|+0.08|0.26|0.8270| +|=| 5| 16| 10| 667.6245365| 71|00:20:04|+0.06|0.21|0.8061| +|=| 2| 16| 10| 615.1067456| 82|00:20:00|+0.06|0.19|0.7577| +|=| 7| 16| 23| 602.8593411| 93|00:19:54|+0.07|0.19|0.7801| +|=| 4| 16| 23| 671.5532227| 104|00:17:33|+0.07|0.18|0.8417| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 671.5532227 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 6 53 0.83122 83 65 6 38 22 16 + +# 2023-08-30 01:00:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 6 53 0.83122 83 65 6 38 22 +19 6 26 0.71959 93 37 25 32 32 +27 8 70 0.14615 57 48 66 57 14 +31 9 91 0.75121 72 23 30 27 11 +5 10 97 0.69186 94 5 66 10 24 +# 2023-08-30 01:00:27 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 290 +# remainingBudget: 210 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 23| 300.0000000| 15|00:20:05| NA| NA| NA| +|x| 6| 15| 31| 400.0000015| 25|00:19:35|-0.27|0.36|1.1238| +|x| 4| 15| 48| 667.7129070| 35|00:15:48|-0.03|0.31|1.0582| +|x| 8| 15| 48| 802.1800387| 45|00:15:46|-0.01|0.24|0.9191| +|=| 3| 15| 19| 885.2820908| 55|00:16:16|+0.08|0.26|0.9308| +|=| 5| 15| 19| 787.7350757| 65|00:20:00|+0.05|0.21|0.9160| +|=| 7| 15| 48| 747.1217787| 75|00:19:36|+0.10|0.23|0.8726| +|=| 2| 15| 48| 691.2315564| 85|00:20:02|+0.10|0.21|0.8341| +|=| 1| 15| 48| 669.9907021| 95|00:19:33|+0.08|0.19|0.8401| +|-| 9| 11| 48| 632.9916319| 105|00:20:03|-0.04|0.07|0.5798| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 632.9916319 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 6 39 0.66774 92 37 10 82 18 19 + +# 2023-08-30 04:07:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 6 39 0.66774 92 37 10 82 18 +19 6 26 0.71959 93 37 25 32 32 +27 8 70 0.14615 57 48 66 57 14 +31 9 91 0.75121 72 23 30 27 11 +23 6 53 0.83122 83 65 6 38 22 +# 2023-08-30 04:07:18 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 395 +# remainingBudget: 105 +# currentBudget: 105 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 23| 1200.660602| 14|00:21:11| NA| NA| NA| +|x| 6| 14| 58| 850.3377255| 23|00:19:48|+0.53|0.77|0.7021| +|x| 2| 14| 58| 666.8918170| 32|00:19:59|+0.27|0.51|0.5435| +|x| 1| 14| 58| 625.1749140| 41|00:19:50|+0.20|0.40|0.5500| +|=| 9| 14| 58| 560.1399312| 50|00:20:00|+0.15|0.32|0.4693| +|-| 3| 11| 58| 666.9587262| 59|00:15:28|-0.05|0.13|0.6073| +|=| 5| 11| 58| 614.5360510| 65|00:20:00|-0.04|0.11|0.5203| +|=| 4| 11| 58| 687.8981361| 71|00:14:17|+0.03|0.15|0.5321| +|=| 7| 11| 58| 667.0226761| 77|00:19:49|+0.01|0.12|0.5853| +|=| 10| 11| 58| 630.3204085| 83|00:19:59|+0.01|0.10|0.5289| +|=| 8| 11| 58| 684.1143106| 89|00:14:30|-0.03|0.06|0.5964| +|=| 12| 11| 58| 668.7714514| 100|00:19:49|-0.03|0.06|0.6259| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 58 mean value: 668.7714514 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +58 58 10 101 0.87662 75 13 18 18 34 31 + +# 2023-08-30 07:52:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +58 10 101 0.87662 75 13 18 18 34 +59 7 53 0.82482 83 46 25 43 5 +23 6 53 0.83122 83 65 6 38 22 +57 8 95 0.57583 59 1 16 8 41 +31 9 91 0.75121 72 23 30 27 11 +# 2023-08-30 07:52:06 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 404818.2, CPU sys time: 41.437, Wall-clock time: 55775.75 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +58 10 101 0.87662 75 13 18 18 34 +59 7 53 0.82482 83 46 25 43 5 +23 6 53 0.83122 83 65 6 38 22 +57 8 95 0.57583 59 1 16 8 41 +31 9 91 0.75121 72 23 30 27 11 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +58 -K10 -k101 -M0.87662 -Q75 -G13 -D18 -O18 -L34 +59 -K7 -k53 -M0.82482 -Q83 -G46 -D25 -O43 -L5 +23 -K6 -k53 -M0.83122 -Q83 -G65 -D6 -O38 -L22 +57 -K8 -k95 -M0.57583 -Q59 -G1 -D16 -O8 -L41 +31 -K9 -k91 -M0.75121 -Q72 -G23 -D30 -O27 -L11 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 07:52:06 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-25.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-25.txt new file mode 100644 index 000000000..075d7ed82 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-25.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:19:55 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1105851851 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:19:55 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:25:08| NA| NA| NA| +|x| 2| 16| 14| 750.5346370| 32|00:21:40|+0.27|0.64|0.8722| +|x| 3| 16| 14| 667.0232327| 48|00:24:57|+0.44|0.63|0.7486| +|x| 4| 16| 14| 575.2674245| 64|00:25:01|+0.48|0.61|0.6579| +|-| 5| 8| 14| 704.2590312| 80|00:21:44|+0.08|0.26|0.4811| +|=| 6| 8| 14| 670.2158605| 88|00:20:50|+0.05|0.21|0.5487| +|=| 7| 8| 14| 748.9657147| 96|00:20:18|+0.04|0.18|0.6356| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 748.9657147 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 92 0.66405 95 16 31 23 74 NA + +# 2023-08-29 18:59:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 92 0.66405 95 16 31 23 74 +10 9 31 0.46291 46 99 83 43 65 +11 9 121 0.54517 58 25 77 45 83 +3 4 30 0.78849 66 19 19 75 58 +2 10 85 0.47424 9 47 67 47 7 +# 2023-08-29 18:59:35 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0000110| 17|00:31:20| NA| NA| NA| +|x| 7| 17| 28| 850.8763370| 29|00:19:05|+0.26|0.63|0.6905| +|x| 3| 17| 28| 733.9235937| 41|00:20:49|+0.11|0.41|0.8594| +|x| 1| 17| 28| 625.4426953| 53|00:20:50|+0.08|0.31|0.8205| +|=| 2| 17| 28| 744.5423838| 65|00:18:46|+0.04|0.23|0.8974| +|=| 5| 17| 28| 820.6082935| 77|00:19:13|+0.08|0.23|0.8889| +|=| 4| 17| 28| 746.2356801| 89|00:20:50|+0.08|0.21|0.8265| +|-| 6| 10| 28| 715.4580854| 101|00:20:49|-0.00|0.12|0.9036| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 715.5317235 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 10 76 0.72407 64 47 86 11 32 14 + +# 2023-08-29 21:51:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 10 76 0.72407 64 47 86 11 32 +28 7 53 0.23366 57 7 9 6 18 +14 10 92 0.66405 95 16 31 23 74 +24 9 116 0.96754 85 57 21 90 96 +23 9 91 0.30513 93 9 20 11 54 +# 2023-08-29 21:51:21 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 17| 300.0000000| 15|00:35:31| NA| NA| NA| +|x| 2| 15| 14| 750.5346370| 25|00:19:08|-0.15|0.42|0.9722| +|x| 7| 15| 32| 902.6835060| 35|00:18:53|+0.12|0.41|0.7984| +|x| 8| 15| 28| 805.6734530| 45|00:20:49|+0.06|0.29|0.8808| +|=| 3| 15| 28| 744.5423838| 55|00:20:50|+0.06|0.25|0.9016| +|=| 5| 15| 28| 820.6082935| 65|00:18:53|+0.09|0.24|0.9187| +|=| 1| 15| 28| 746.2356801| 75|00:20:51|+0.08|0.21|0.9154| +|=| 6| 15| 14| 717.8473220| 85|00:20:50|+0.08|0.20|0.8878| +|=| 4| 15| 14| 671.4198418| 95|00:20:50|+0.09|0.19|0.8749| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 671.4198418 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 92 0.66405 95 16 31 23 74 NA + +# 2023-08-30 01:08:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 92 0.66405 95 16 31 23 74 +28 7 53 0.23366 57 7 9 6 18 +32 8 121 0.29088 35 54 99 23 17 +17 10 76 0.72407 64 47 86 11 32 +34 10 65 0.33811 30 26 35 21 13 +# 2023-08-30 01:08:00 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 292 +# remainingBudget: 208 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 14| 500.0000000| 14|00:33:19| NA| NA| NA| +|x| 1| 14| 14| 400.0000000| 23|00:20:50|+0.00|0.50|0.4643| +|x| 4| 14| 14| 366.6666667| 32|00:20:50|+0.00|0.33|0.3095| +|x| 8| 14| 14| 400.0046433| 41|00:20:49|+0.07|0.30|0.4054| +|=| 5| 14| 28| 560.1891910| 50|00:17:45|+0.13|0.30|0.4787| +|-| 3| 11| 43| 550.3041642| 59|00:20:50|-0.06|0.11|0.6612| +|=| 6| 11| 14| 545.7492089| 65|00:20:50|-0.09|0.06|0.7175| +|=| 7| 11| 28| 625.3414559| 71|00:15:12|-0.08|0.06|0.7374| +|=| 2| 11| 14| 693.6420640| 77|00:15:13|-0.05|0.07|0.7429| +|=| 9| 11| 14| 654.2778576| 83|00:20:50|-0.04|0.06|0.6651| +|=| 11| 11| 14| 622.0707796| 94|00:20:52|-0.04|0.05|0.6020| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 622.0707796 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 92 0.66405 95 16 31 23 74 NA + +# 2023-08-30 04:55:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 92 0.66405 95 16 31 23 74 +32 8 121 0.29088 35 54 99 23 17 +28 7 53 0.23366 57 7 9 6 18 +44 8 79 0.88109 89 17 40 28 89 +34 10 65 0.33811 30 26 35 21 13 +# 2023-08-30 04:55:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 386 +# remainingBudget: 114 +# currentBudget: 114 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 14| 1200.677114| 14|00:27:25| NA| NA| NA| +|x| 11| 14| 14| 750.3385570| 23|00:20:51|+0.00|0.50|0.4643| +|x| 5| 14| 50| 901.2371333| 32|00:19:29|+0.12|0.41|0.6068| +|x| 3| 14| 44| 801.1677150| 41|00:20:50|-0.03|0.22|0.7053| +|=| 8| 14| 28| 740.9405680| 50|00:20:50|-0.04|0.17|0.7595| +|=| 9| 14| 28| 667.4504733| 59|00:20:50|-0.03|0.14|0.6302| +|=| 1| 14| 28| 614.9575486| 68|00:20:55|-0.02|0.12|0.5385| +|=| 7| 14| 28| 688.3069379| 77|00:18:56|+0.02|0.14|0.5638| +|=| 6| 14| 44| 667.2587428| 86|00:20:50|+0.03|0.14|0.5971| +|=| 2| 14| 44| 722.5564610| 95|00:19:29|+0.06|0.16|0.6148| +|-| 10| 11| 14| 703.9505173| 104|00:20:49|-0.04|0.05|0.6878| +|=| 4| 11| 14| 670.2879742| 110|00:20:49|-0.04|0.05|0.6283| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 670.2879742 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 92 0.66405 95 16 31 23 74 NA + +# 2023-08-30 09:07:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 92 0.66405 95 16 31 23 74 +28 7 53 0.23366 57 7 9 6 18 +34 10 65 0.33811 30 26 35 21 13 +44 8 79 0.88109 89 17 40 28 89 +32 8 121 0.29088 35 54 99 23 17 +# 2023-08-30 09:07:36 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 471891.8, CPU sys time: 75.286, Wall-clock time: 60461.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 92 0.66405 95 16 31 23 74 +28 7 53 0.23366 57 7 9 6 18 +34 10 65 0.33811 30 26 35 21 13 +44 8 79 0.88109 89 17 40 28 89 +32 8 121 0.29088 35 54 99 23 17 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +14 -K10 -k92 -M0.66405 -Q95 -G16 -D31 -O23 -L74 +28 -K7 -k53 -M0.23366 -Q57 -G7 -D9 -O6 -L18 +34 -K10 -k65 -M0.33811 -Q30 -G26 -D35 -O21 -L13 +44 -K8 -k79 -M0.88109 -Q89 -G17 -D40 -O28 -L89 +32 -K8 -k121 -M0.29088 -Q35 -G54 -D99 -O23 -L17 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-30 09:07:36 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-26.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-26.txt new file mode 100644 index 000000000..05a92d36c --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-26.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:20:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 978881333 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:20:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 1200.482387| 16|00:23:55| NA| NA| NA| +|x| 2| 16| 13| 750.2411935| 32|00:28:09|-0.02|0.49|0.7648| +|x| 3| 16| 7| 667.0838143| 48|00:27:37|+0.17|0.44|0.7667| +|x| 4| 16| 7| 575.3128608| 64|00:28:09|+0.17|0.38|0.6723| +|-| 5| 8| 7| 560.2567318| 80|00:27:39|-0.04|0.17|0.4990| +|=| 6| 8| 7| 670.2871072| 88|00:18:06|+0.01|0.18|0.5854| +|=| 7| 8| 7| 645.9690463| 96|00:21:34|-0.06|0.09|0.6593| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 645.9690463 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 6 22 0.93065 89 18 55 38 72 NA + +# 2023-09-01 20:15:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 6 22 0.93065 89 18 55 38 72 +6 10 98 0.39199 59 36 41 57 63 +4 6 116 0.91010 41 19 58 7 66 +10 8 109 0.78116 56 94 17 91 31 +1 6 8 0.16650 52 24 49 59 72 +# 2023-09-01 20:15:24 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 23| 1200.985449| 17|00:29:12| NA| NA| NA| +|x| 6| 17| 7| 1211.549870| 29|00:18:34|+0.37|0.69|1.1620| +|x| 4| 17| 7| 907.6999130| 41|00:21:40|+0.28|0.52|0.9006| +|x| 2| 17| 7| 755.7749348| 53|00:21:39|+0.28|0.46|0.7069| +|-| 7| 12| 23| 704.5384484| 65|00:21:34|+0.01|0.21|0.5735| +|=| 1| 12| 23| 790.5725170| 72|00:16:33|+0.06|0.22|0.5968| +|=| 3| 12| 7| 746.3445519| 79|00:21:24|+0.04|0.18|0.6548| +|=| 5| 12| 28| 718.1190210| 86|00:21:25|-0.01|0.12|0.6960| +|=| 9| 12| 28| 671.6613520| 98|00:21:39|-0.01|0.11|0.6177| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 671.6613520 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 85 0.26356 65 63 17 97 40 6 + +# 2023-09-01 23:29:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 85 0.26356 65 63 17 97 40 +7 6 22 0.93065 89 18 55 38 72 +23 6 29 0.61311 100 10 58 41 78 +27 7 123 0.90659 52 63 87 3 44 +6 10 98 0.39199 59 36 41 57 63 +# 2023-09-01 23:29:10 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 194 +# remainingBudget: 306 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 34| 500.0004080| 14|00:25:40| NA| NA| NA| +|x| 9| 14| 34| 400.0002040| 23|00:21:39|+0.00|0.50|0.4643| +|x| 7| 14| 28| 433.3374673| 32|00:21:25|+0.13|0.42|0.5227| +|x| 2| 14| 28| 400.0031005| 41|00:21:40|+0.09|0.32|0.4161| +|=| 8| 14| 23| 560.2138314| 50|00:17:39|-0.01|0.20|0.5505| +|=| 4| 14| 23| 516.8448595| 59|00:21:40|-0.00|0.16|0.4598| +|=| 6| 14| 28| 617.6417503| 68|00:18:02|+0.01|0.15|0.5192| +|=| 3| 14| 28| 602.9376486| 77|00:21:24|+0.07|0.19|0.5362| +|=| 1| 14| 33| 667.1325362| 86|00:17:49|+0.01|0.12|0.6044| +|=| 5| 14| 33| 650.4199178| 95|00:21:25|+0.03|0.13|0.6167| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 650.4199178 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 9 117 0.96296 50 52 94 53 36 27 + +# 2023-09-02 02:57:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 117 0.96296 50 52 94 53 36 +28 10 85 0.26356 65 63 17 97 40 +35 9 75 0.79290 64 40 58 43 31 +37 6 81 0.68422 72 51 89 10 43 +30 7 60 0.88817 61 19 48 5 71 +# 2023-09-02 02:57:39 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 289 +# remainingBudget: 211 +# currentBudget: 105 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 33| 300.0000000| 14|00:32:29| NA| NA| NA| +|x| 5| 14| 35| 400.0023290| 23|00:21:31|+0.18|0.59|0.9552| +|x| 8| 14| 35| 667.1190477| 32|00:18:37|+0.37|0.58|0.6687| +|x| 2| 14| 35| 575.3392857| 41|00:21:39|+0.37|0.53|0.5889| +|-| 6| 10| 33| 700.5391252| 50|00:19:14|-0.04|0.17|0.5502| +|=| 3| 10| 33| 667.1168582| 55|00:21:28|+0.10|0.25|0.5421| +|=| 4| 10| 33| 614.6715927| 60|00:21:39|+0.08|0.21|0.4729| +|=| 10| 10| 33| 600.3444732| 65|00:21:27|+0.06|0.18|0.4906| +|=| 9| 10| 33| 566.9728651| 70|00:21:39|+0.05|0.16|0.4441| +|=| 1| 10| 33| 630.4195908| 75|00:18:03|+0.02|0.11|0.5012| +|=| 7| 10| 33| 618.5635616| 80|00:21:29|+0.06|0.15|0.5128| +|=| 12| 10| 33| 668.8331182| 90|00:19:24|+0.03|0.11|0.5678| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 668.8331182 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 9 117 0.96296 50 52 94 53 36 27 + +# 2023-09-02 07:16:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 117 0.96296 50 52 94 53 36 +35 9 75 0.79290 64 40 58 43 31 +30 7 60 0.88817 61 19 48 5 71 +42 7 103 0.66490 78 55 70 21 7 +28 10 85 0.26356 65 63 17 97 40 +# 2023-09-02 07:16:23 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 49| 1203.138146| 13|00:24:30| NA| NA| NA| +|x| 1| 13| 33| 1210.831938| 21|00:15:56|+0.13|0.56|1.0449| +|x| 7| 13| 33| 973.8890487| 29|00:21:24|-0.01|0.32|0.8739| +|x| 12| 13| 51| 1031.298418| 37|00:15:52|-0.05|0.21|0.8925| +|=| 3| 13| 51| 925.0387420| 45|00:21:22|-0.01|0.19|0.9145| +|=| 6| 13| 51| 974.2793013| 53|00:15:47|+0.04|0.20|0.9112| +|=| 4| 13| 51| 877.9536869| 61|00:21:39|+0.03|0.17|0.7827| +|=| 2| 13| 51| 805.7094760| 69|00:21:40|+0.03|0.15|0.6859| +|=| 9| 13| 51| 749.5195342| 77|00:21:39|+0.02|0.13|0.6104| +|=| 11| 13| 51| 704.5675808| 85|00:21:40|+0.02|0.12|0.5499| +|=| 8| 13| 51| 749.9340465| 93|00:17:05|+0.03|0.12|0.5671| +|=| 10| 13| 51| 729.1144956| 101|00:21:23|-0.01|0.07|0.6207| +|=| 5| 13| 33| 711.2477825| 109|00:21:23|+0.00|0.08|0.6434| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 711.2477825 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 9 117 0.96296 50 52 94 53 36 27 + +# 2023-09-02 11:37:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 117 0.96296 50 52 94 53 36 +51 7 117 0.83936 83 47 95 38 2 +35 9 75 0.79290 64 40 58 43 31 +48 10 58 0.83415 60 53 61 21 57 +30 7 60 0.88817 61 19 48 5 71 +# 2023-09-02 11:37:49 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 488 +# timeUsed: 0 +# remainingBudget: 12 +# currentBudget: 12 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 436015.7, CPU sys time: 53.946, Wall-clock time: 65856.9 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 117 0.96296 50 52 94 53 36 +51 7 117 0.83936 83 47 95 38 2 +35 9 75 0.79290 64 40 58 43 31 +48 10 58 0.83415 60 53 61 21 57 +30 7 60 0.88817 61 19 48 5 71 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +33 -K9 -k117 -M0.96296 -Q50 -G52 -D94 -O53 -L36 +51 -K7 -k117 -M0.83936 -Q83 -G47 -D95 -O38 -L2 +35 -K9 -k75 -M0.7929 -Q64 -G40 -D58 -O43 -L31 +48 -K10 -k58 -M0.83415 -Q60 -G53 -D61 -O21 -L57 +30 -K7 -k60 -M0.88817 -Q61 -G19 -D48 -O5 -L71 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 11:37:49 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-27.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-27.txt new file mode 100644 index 000000000..a7534171f --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-27.txt @@ -0,0 +1,259 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:19:43 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 836156707 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:19:43 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 300.0000000| 16|00:22:29| NA| NA| NA| +|x| 2| 16| 3| 751.3353035| 32|00:20:38|+0.16|0.58|1.2352| +|x| 3| 16| 3| 667.5634270| 48|00:22:27|+0.31|0.54|0.9604| +|x| 4| 16| 3| 625.6828690| 64|00:22:27|+0.37|0.53|0.8284| +|-| 5| 10| 3| 560.5462952| 80|00:22:30|+0.03|0.22|0.5270| +|=| 6| 10| 3| 667.3769878| 90|00:19:48|+0.13|0.28|0.5547| +|-| 7| 5| 3| 643.4741141| 100|00:22:23|-0.06|0.09|0.6226| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 3 mean value: 643.4741141 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +3 3 10 10 0.60848 50 27 52 12 27 NA + +# 2023-09-01 19:52:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +3 10 10 0.60848 50 27 52 12 27 +11 9 93 0.11445 48 91 57 41 0 +8 4 103 0.96274 95 92 22 100 31 +9 6 3 0.56867 81 95 54 1 0 +12 6 69 0.83413 56 13 45 23 72 +# 2023-09-01 19:52:28 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 26| 1203.564384| 16|00:24:58| NA| NA| NA| +|x| 5| 16| 26| 751.7821920| 27|00:20:15|+0.19|0.59|0.8154| +|x| 4| 16| 26| 667.8594313| 38|00:20:00|+0.12|0.41|0.8186| +|x| 7| 16| 26| 625.8949998| 49|00:20:00|+0.27|0.45|0.6613| +|-| 3| 11| 27| 602.6455888| 60|00:20:03|+0.11|0.29|0.7275| +|=| 2| 11| 27| 702.5592832| 66|00:16:24|+0.07|0.22|0.7891| +|=| 1| 11| 27| 645.0508141| 72|00:20:15|+0.05|0.19|0.6719| +|=| 6| 11| 27| 717.2004118| 78|00:16:15|-0.03|0.10|0.7354| +|=| 9| 11| 27| 670.8448104| 89|00:22:30|-0.02|0.09|0.6477| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 670.8448104 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 9 41 0.35876 60 68 41 31 50 3 + +# 2023-09-01 22:53:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 9 41 0.35876 60 68 41 31 50 +23 7 76 0.85483 73 41 62 28 47 +26 7 65 0.62337 51 81 39 99 29 +17 9 45 0.77444 59 100 13 66 45 +3 10 10 0.60848 50 27 52 12 27 +# 2023-09-01 22:53:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 189 +# remainingBudget: 311 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 500.0000020| 14|00:28:58| NA| NA| NA| +|x| 3| 14| 28| 500.0059070| 23|00:22:24|+0.11|0.55|0.8329| +|x| 4| 14| 28| 500.0142370| 32|00:22:23|+0.18|0.45|0.7118| +|x| 8| 14| 36| 675.2691515| 41|00:20:30|+0.15|0.36|0.7619| +|=| 5| 14| 36| 600.2153212| 50|00:22:29|+0.11|0.29|0.6429| +|=| 9| 14| 36| 550.1794343| 59|00:22:29|+0.09|0.24|0.5524| +|=| 2| 14| 36| 645.8455923| 68|00:20:30|+0.10|0.23|0.5757| +|-| 7| 12| 27| 626.9238883| 77|00:22:24|-0.04|0.09|0.7086| +|=| 1| 12| 27| 590.5990118| 84|00:22:30|-0.04|0.08|0.6275| +|=| 6| 12| 36| 652.1816108| 91|00:20:17|-0.05|0.06|0.6798| +|=| 11| 12| 36| 703.8057715| 103|00:21:19|-0.02|0.07|0.6978| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 703.8057715 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 7 108 0.621 76 46 75 79 38 23 + +# 2023-09-02 02:59:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 7 108 0.62100 76 46 75 79 38 +28 10 60 0.92980 64 84 28 60 71 +27 9 41 0.35876 60 68 41 31 50 +29 8 66 0.73317 83 98 58 46 45 +32 10 21 0.70725 28 68 15 46 11 +# 2023-09-02 02:59:32 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 292 +# remainingBudget: 208 +# currentBudget: 104 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 36| 300.0000000| 13|00:36:00| NA| NA| NA| +|x| 2| 13| 29| 750.7352560| 21|00:17:41|+0.00|0.50|0.4615| +|x| 3| 13| 27| 667.3759430| 29|00:22:15|-0.08|0.28|0.5511| +|x| 11| 13| 32| 806.3383390| 37|00:18:13|-0.12|0.16|0.7077| +|=| 8| 13| 32| 886.0288190| 45|00:18:05|+0.01|0.21|0.7452| +|=| 9| 13| 32| 788.3573492| 53|00:22:29|+0.01|0.17|0.6199| +|=| 6| 13| 29| 846.8279244| 61|00:17:28|+0.03|0.17|0.6874| +|=| 4| 13| 36| 805.2273898| 69|00:22:15|-0.01|0.12|0.7087| +|=| 5| 13| 36| 749.0910131| 77|00:22:30|-0.01|0.10|0.6282| +|=| 1| 13| 36| 704.1819118| 85|00:22:30|-0.01|0.09|0.5641| +|=| 7| 13| 36| 685.6239532| 93|00:22:17|+0.01|0.10|0.5993| +|=| 10| 13| 36| 670.1552906| 101|00:22:15|+0.00|0.09|0.6154| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 670.1552906 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 7 108 0.621 76 46 75 79 38 23 + +# 2023-09-02 07:23:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 7 108 0.62100 76 46 75 79 38 +28 10 60 0.92980 64 84 28 60 71 +27 9 41 0.35876 60 68 41 31 50 +29 8 66 0.73317 83 98 58 46 45 +32 10 21 0.70725 28 68 15 46 11 +# 2023-09-02 07:23:38 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 393 +# remainingBudget: 107 +# currentBudget: 107 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 12| 49| 1201.649968| 12|00:21:42| NA| NA| NA| +|x| 5| 12| 49| 750.8249840| 19|00:22:29|+0.00|0.50|0.4583| +|x| 11| 12| 48| 900.7941260| 26|00:18:57|+0.07|0.38|0.6140| +|x| 10| 12| 48| 800.5995568| 33|00:22:23|+0.15|0.37|0.6328| +|-| 4| 11| 48| 740.4796454| 40|00:22:23|+0.20|0.36|0.6267| +|=| 2| 11| 48| 817.2756152| 46|00:18:26|+0.11|0.26|0.7421| +|=| 9| 11| 48| 743.3790987| 52|00:22:29|+0.10|0.22|0.6383| +|=| 3| 11| 48| 712.9708244| 58|00:22:23|-0.04|0.09|0.7236| +|=| 12| 11| 48| 667.0851772| 64|00:22:29|-0.04|0.08|0.6385| +|=| 1| 11| 48| 630.3766595| 70|00:22:29|-0.03|0.07|0.5714| +|=| 8| 11| 48| 682.2490507| 76|00:18:28|-0.00|0.09|0.6044| +|=| 7| 11| 48| 667.0625900| 82|00:22:26|-0.01|0.07|0.6240| +|=| 6| 11| 48| 708.1772560| 88|00:18:43|-0.01|0.07|0.6438| +|=| 14| 11| 48| 679.0217377| 99|00:22:29|-0.01|0.07|0.5968| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 679.0217377 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 24 0.45809 84 36 27 24 43 27 + +# 2023-09-02 12:22:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 24 0.45809 84 36 27 24 43 +49 9 63 0.46216 65 23 62 30 38 +36 7 108 0.62100 76 46 75 79 38 +45 8 66 0.54960 93 74 67 53 46 +46 9 68 0.25756 72 76 36 10 62 +# 2023-09-02 12:22:02 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 472387.9, CPU sys time: 45.179, Wall-clock time: 68538.6 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 24 0.45809 84 36 27 24 43 +49 9 63 0.46216 65 23 62 30 38 +36 7 108 0.62100 76 46 75 79 38 +45 8 66 0.54960 93 74 67 53 46 +46 9 68 0.25756 72 76 36 10 62 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +48 -K9 -k24 -M0.45809 -Q84 -G36 -D27 -O24 -L43 +49 -K9 -k63 -M0.46216 -Q65 -G23 -D62 -O30 -L38 +36 -K7 -k108 -M0.621 -Q76 -G46 -D75 -O79 -L38 +45 -K8 -k66 -M0.5496 -Q93 -G74 -D67 -O53 -L46 +46 -K9 -k68 -M0.25756 -Q72 -G76 -D36 -O10 -L62 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 12:22:02 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-28.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-28.txt new file mode 100644 index 000000000..dfda2e913 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-28.txt @@ -0,0 +1,302 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:41:02 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 165885282 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:41:02 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 1200.736670| 16|00:28:21| NA| NA| NA| +|x| 2| 16| 4| 750.3683350| 32|00:32:39|+0.43|0.72|0.7856| +|x| 3| 16| 4| 666.9221690| 48|00:32:21|+0.39|0.59|0.8269| +|x| 4| 16| 2| 805.8047763| 64|00:28:32|+0.43|0.57|0.7599| +|-| 5| 10| 11| 744.5304232| 80|00:32:11|-0.17|0.07|0.7733| +|=| 6| 10| 7| 667.1363850| 90|00:23:19|-0.13|0.06|0.6355| +|=| 7| 10| 7| 614.6883300| 100|00:23:19|-0.11|0.05|0.5397| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 614.6883300 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 8 99 0.41442 57 14 18 49 34 NA + +# 2023-09-01 21:01:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 8 99 0.41442 57 14 18 49 34 +11 7 21 0.77096 85 28 43 51 74 +2 9 116 0.70911 86 38 28 76 41 +4 9 77 0.96710 57 29 64 21 31 +9 7 22 0.59340 97 53 34 94 86 +# 2023-09-01 21:01:49 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 19| 500.0122470| 16|00:32:28| NA| NA| NA| +|x| 3| 16| 26| 500.0205475| 27|00:20:27|-0.09|0.45|0.9491| +|x| 7| 16| 26| 433.3470317| 38|00:20:59|+0.03|0.36|0.8337| +|x| 6| 16| 26| 400.0102738| 49|00:21:00|+0.12|0.34|0.6755| +|=| 5| 16| 20| 420.0144986| 60|00:20:26|+0.07|0.26|0.7602| +|=| 4| 16| 26| 550.4482642| 71|00:17:27|+0.00|0.17|0.8331| +|=| 2| 16| 26| 514.6699407| 82|00:20:59|+0.04|0.17|0.7569| +|=| 1| 16| 20| 601.7774208| 93|00:17:31|+0.03|0.15|0.7885| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 601.7774208 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 9 21 0.72073 41 11 32 6 70 11 + +# 2023-09-01 23:53:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 9 21 0.72073 41 11 32 6 70 +11 7 21 0.77096 85 28 43 51 74 +21 7 34 0.36534 47 4 39 61 54 +2 9 116 0.70911 86 38 28 76 41 +4 9 77 0.96710 57 29 64 21 31 +# 2023-09-01 23:53:10 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 20| 1203.243996| 15|00:21:51| NA| NA| NA| +|x| 6| 15| 20| 751.6219980| 25|00:18:39|+0.14|0.57|0.8377| +|x| 4| 15| 20| 903.5207840| 35|00:14:22|+0.13|0.42|0.7306| +|x| 2| 15| 20| 752.6405880| 45|00:18:40|+0.15|0.36|0.6340| +|-| 3| 11| 20| 702.1183700| 55|00:18:24|-0.03|0.17|0.5026| +|=| 7| 11| 20| 635.0986417| 61|00:18:40|-0.03|0.15|0.4260| +|=| 8| 11| 37| 616.2084039| 67|00:18:24|-0.06|0.09|0.5085| +|=| 1| 11| 20| 689.6828537| 73|00:13:19|-0.03|0.10|0.5607| +|=| 5| 11| 20| 668.6070402| 79|00:18:25|+0.03|0.13|0.5627| +|=| 10| 11| 20| 723.9506610| 90|00:18:41|+0.03|0.13|0.5827| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 723.9506610 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 9 21 0.72073 41 11 32 6 70 11 + +# 2023-09-02 02:52:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 9 21 0.72073 41 11 32 6 70 +37 6 47 0.93945 81 17 73 12 75 +4 9 77 0.96710 57 29 64 21 31 +21 7 34 0.36534 47 4 39 61 54 +33 6 94 0.60217 84 33 31 80 62 +# 2023-09-02 02:52:40 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 283 +# remainingBudget: 217 +# currentBudget: 108 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 38| 500.0001280| 14|00:32:09| NA| NA| NA| +|x| 1| 14| 21| 850.7072420| 23|00:17:56|+0.27|0.64|0.7551| +|x| 9| 14| 38| 974.1460193| 32|00:17:12|+0.01|0.34|1.0024| +|x| 8| 14| 38| 855.6095518| 41|00:22:38|+0.15|0.36|0.8759| +|-| 4| 10| 21| 925.3878782| 50|00:17:57|-0.04|0.17|0.9216| +|=| 6| 10| 21| 821.1565652| 55|00:23:19|-0.03|0.14|0.7644| +|=| 10| 10| 38| 877.9147029| 60|00:13:22|-0.04|0.11|0.8170| +|=| 5| 10| 38| 830.6753650| 65|00:22:36|-0.01|0.12|0.7849| +|=| 2| 10| 38| 771.7114356| 70|00:23:19|-0.00|0.11|0.6980| +|=| 7| 10| 38| 724.5402920| 75|00:23:20|-0.00|0.10|0.6284| +|=| 3| 10| 38| 704.1291351| 80|00:22:35|+0.02|0.10|0.6636| +|=| 12| 10| 38| 670.4517072| 90|00:23:20|+0.01|0.10|0.6075| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 670.4517072 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 10 24 0.6799 45 0 30 4 98 20 + +# 2023-09-02 07:12:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 10 24 0.67990 45 0 30 4 98 +39 8 42 0.84306 87 3 71 11 72 +44 8 26 0.51091 78 35 28 12 87 +21 7 34 0.36534 47 4 39 61 54 +20 9 21 0.72073 41 11 32 6 70 +# 2023-09-02 07:12:29 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 373 +# remainingBudget: 127 +# currentBudget: 127 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 39| 1220.502425| 14|00:26:48| NA| NA| NA| +|x| 1| 14| 53| 1212.116898| 23|00:16:51|-0.10|0.45|0.8015| +|x| 12| 14| 53| 908.0779317| 32|00:20:59|+0.11|0.40|0.6085| +|x| 10| 14| 44| 983.1346010| 41|00:16:57|+0.21|0.40|0.6460| +|-| 11| 10| 38| 885.1532816| 50|00:20:59|-0.02|0.19|0.7634| +|=| 7| 10| 38| 787.6277347| 55|00:21:00|-0.01|0.16|0.6290| +|=| 2| 10| 38| 717.9666297| 60|00:21:00|-0.01|0.13|0.5350| +|=| 4| 10| 53| 780.7585656| 65|00:14:09|-0.02|0.11|0.5858| +|=| 9| 10| 39| 827.5921497| 70|00:13:44|-0.06|0.06|0.6164| +|=| 3| 10| 39| 794.8329383| 75|00:20:59|-0.03|0.08|0.6404| +|=| 6| 10| 39| 749.8481257| 80|00:21:00|-0.02|0.07|0.5812| +|=| 5| 10| 39| 729.0276882| 85|00:21:00|+0.00|0.09|0.5891| +|=| 8| 10| 39| 711.4101738| 90|00:20:59|+0.04|0.11|0.6065| +|=| 14| 10| 39| 682.0237328| 100|00:23:19|+0.03|0.10|0.5643| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 682.0237328 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 8 42 0.84306 87 3 71 11 72 37 + +# 2023-09-02 11:52:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 8 42 0.84306 87 3 71 11 72 +38 10 24 0.67990 45 0 30 4 98 +44 8 26 0.51091 78 35 28 12 87 +53 9 61 0.62207 76 17 59 1 64 +21 7 34 0.36534 47 4 39 61 54 +# 2023-09-02 11:52:20 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 473 +# remainingBudget: 27 +# currentBudget: 27 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 6| 56| 500.0125000| 6|00:22:37| NA| NA| NA| +|x| 6| 6| 56| 400.0062500| 7|00:16:20|+0.00|0.50|0.4167| +|x| 5| 6| 38| 433.3378110| 8|00:14:22|-0.10|0.27|0.5919| +|x| 12| 6| 38| 400.0033583| 9|00:16:20|-0.07|0.20|0.4348| +|=| 7| 6| 38| 380.0026866| 10|00:16:19|-0.05|0.16|0.3442| +|=| 3| 6| 38| 400.0051665| 11|00:14:30|-0.03|0.14|0.4290| +|=| 11| 6| 38| 414.2901610| 12|00:14:22|+0.01|0.16|0.4863| +|=| 4| 6| 38| 515.1247654| 13|00:07:24|-0.07|0.07|0.5677| +|=| 8| 6| 38| 513.4442524| 14|00:14:24|+0.00|0.11|0.5641| +|=| 13| 6| 39| 582.2095528| 15|00:06:48|+0.00|0.10|0.6014| +|=| 1| 6| 38| 640.4333486| 16|00:06:54|-0.02|0.08|0.6154| +|=| 14| 6| 38| 612.0639029| 17|00:16:20|-0.02|0.07|0.5633| +|=| 10| 6| 38| 657.4434271| 18|00:06:57|+0.03|0.10|0.5700| +|=| 9| 6| 39| 696.3126539| 19|00:07:01|+0.06|0.12|0.5736| +|=| 2| 6| 39| 669.8918103| 20|00:16:19|+0.05|0.12|0.5368| +|=| 16| 6| 39| 646.7735722| 26|00:23:19|+0.05|0.11|0.5044| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 646.7735722 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 8 42 0.84306 87 3 71 11 72 37 + +# 2023-09-02 15:32:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 10 24 0.67990 45 0 30 4 98 +39 8 42 0.84306 87 3 71 11 72 +44 8 26 0.51091 78 35 28 12 87 +21 7 34 0.36534 47 4 39 61 54 +53 9 61 0.62207 76 17 59 1 64 +# 2023-09-02 15:32:45 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 471755.5, CPU sys time: 93.536, Wall-clock time: 78702.17 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 10 24 0.67990 45 0 30 4 98 +39 8 42 0.84306 87 3 71 11 72 +44 8 26 0.51091 78 35 28 12 87 +21 7 34 0.36534 47 4 39 61 54 +53 9 61 0.62207 76 17 59 1 64 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +38 -K10 -k24 -M0.6799 -Q45 -G0 -D30 -O4 -L98 +39 -K8 -k42 -M0.84306 -Q87 -G3 -D71 -O11 -L72 +44 -K8 -k26 -M0.51091 -Q78 -G35 -D28 -O12 -L87 +21 -K7 -k34 -M0.36534 -Q47 -G4 -D39 -O61 -L54 +53 -K9 -k61 -M0.62207 -Q76 -G17 -D59 -O1 -L64 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 15:32:45 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-29.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-29.txt new file mode 100644 index 000000000..d29447430 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-29.txt @@ -0,0 +1,352 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:40:38 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1716223827 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:40:38 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 9| 500.0000000| 16|00:24:10| NA| NA| NA| +|x| 2| 16| 9| 850.4111030| 32|00:23:01|+0.54|0.77|0.5057| +|x| 3| 16| 9| 666.9407353| 48|00:24:11|+0.49|0.66|0.4982| +|x| 4| 16| 9| 575.2055515| 64|00:24:12|+0.58|0.69|0.3912| +|-| 5| 8| 9| 560.1749456| 80|00:24:10|-0.05|0.16|0.7826| +|=| 6| 8| 9| 670.2259827| 88|00:21:33|-0.04|0.13|0.7883| +|=| 7| 8| 9| 617.3365566| 96|00:24:09|-0.03|0.11|0.6672| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 617.3365566 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 93 0.82266 54 34 64 66 10 NA + +# 2023-09-01 20:26:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 93 0.82266 54 34 64 66 10 +2 4 39 0.35426 95 58 15 8 64 +13 9 34 0.15442 89 47 75 97 58 +6 7 83 0.77281 94 80 90 82 96 +12 4 113 0.53024 51 99 29 36 67 +# 2023-09-01 20:26:08 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 26| 1202.815184| 17|00:33:10| NA| NA| NA| +|x| 7| 17| 26| 751.4075920| 29|00:24:10|+0.25|0.62|0.7483| +|x| 5| 17| 6| 668.2388677| 41|00:24:07|+0.34|0.56|0.5590| +|x| 6| 17| 6| 801.8639688| 53|00:21:54|+0.35|0.51|0.6538| +|-| 1| 12| 26| 743.9697814| 65|00:24:08|-0.09|0.13|0.8219| +|=| 4| 12| 26| 669.9748178| 72|00:24:10|-0.07|0.11|0.6702| +|=| 2| 12| 26| 746.3789140| 79|00:21:42|-0.03|0.12|0.7056| +|=| 3| 12| 26| 690.5815498| 86|00:24:09|-0.03|0.10|0.6110| +|=| 9| 12| 26| 669.4065577| 98|00:24:11|+0.03|0.14|0.6220| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 669.4065577 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 10 39 0.9923 56 80 84 54 97 6 + +# 2023-09-02 00:07:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 10 39 0.99230 56 80 84 54 97 +9 10 93 0.82266 54 34 64 66 10 +28 10 111 0.80590 35 66 27 54 37 +6 7 83 0.77281 94 80 90 82 96 +19 8 57 0.40669 74 68 75 28 73 +# 2023-09-02 00:07:54 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 194 +# remainingBudget: 306 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 26| 300.0000000| 14|00:38:40| NA| NA| NA| +|x| 9| 14| 33| 400.0000105| 23|00:24:10|+0.18|0.59|0.8719| +|x| 3| 14| 33| 366.6666737| 32|00:24:09|+0.30|0.53|0.5813| +|x| 5| 14| 37| 400.0029325| 41|00:24:08|+0.15|0.36|0.7036| +|=| 6| 14| 33| 560.4218262| 50|00:21:21|+0.13|0.30|0.7330| +|-| 7| 11| 33| 517.0181885| 59|00:24:10|+0.01|0.17|0.4418| +|=| 2| 11| 33| 617.5026411| 65|00:18:51|-0.10|0.06|0.5728| +|=| 1| 11| 26| 602.7304794| 71|00:24:09|-0.10|0.04|0.6219| +|=| 8| 11| 26| 669.4065577| 77|00:18:32|-0.06|0.06|0.6400| +|=| 4| 11| 26| 632.4659019| 83|00:24:10|-0.05|0.05|0.5726| +|=| 11| 11| 28| 621.7971019| 94|00:24:11|-0.05|0.05|0.6172| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 621.7971019 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 111 0.8059 35 66 27 54 37 9 + +# 2023-09-02 04:34:30 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 111 0.80590 35 66 27 54 37 +26 10 39 0.99230 56 80 84 54 97 +9 10 93 0.82266 54 34 64 66 10 +33 8 93 0.37349 68 75 66 22 38 +32 7 88 0.62579 78 71 36 64 26 +# 2023-09-02 04:34:30 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 45| 1206.599400| 13|00:34:47| NA| NA| NA| +|x| 2| 13| 9| 1210.572644| 21|00:21:58|+0.15|0.57|1.1270| +|x| 1| 13| 9| 973.7150960| 29|00:24:07|+0.28|0.52|0.8948| +|x| 5| 13| 43| 855.3640257| 37|00:24:10|+0.29|0.46|0.8464| +|-| 11| 10| 9| 784.2395620| 45|00:24:10|+0.06|0.25|0.9381| +|=| 9| 10| 9| 736.8689518| 50|00:24:09|-0.03|0.14|0.9893| +|=| 3| 10| 9| 674.4591016| 55|00:24:11|-0.03|0.12|0.8352| +|=| 7| 10| 9| 627.6517139| 60|00:24:11|-0.02|0.10|0.7229| +|=| 10| 10| 9| 591.2459679| 65|00:24:11|-0.02|0.09|0.6372| +|=| 8| 10| 42| 652.5912191| 70|00:21:11|+0.01|0.11|0.6472| +|=| 6| 10| 42| 702.4992972| 75|00:20:37|+0.03|0.12|0.6650| +|=| 4| 10| 42| 668.9576891| 80|00:24:11|+0.03|0.11|0.6087| +|=| 13| 10| 42| 711.3787844| 90|00:23:27|+0.03|0.11|0.6402| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 711.3787844 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 9 95 0.38561 47 45 12 46 48 28 + +# 2023-09-02 09:49:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 9 95 0.38561 47 45 12 46 48 +43 10 104 0.71474 68 57 49 78 38 +40 9 70 0.82683 87 73 88 9 92 +9 10 93 0.82266 54 34 64 66 10 +28 10 111 0.80590 35 66 27 54 37 +# 2023-09-02 09:49:55 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 378 +# remainingBudget: 122 +# currentBudget: 122 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 42| 500.0000000| 13|00:35:55| NA| NA| NA| +|x| 2| 13| 42| 850.8640780| 21|00:21:57|+0.19|0.60|0.8445| +|x| 13| 13| 42| 974.0533613| 29|00:22:28|+0.34|0.56|0.7438| +|x| 11| 13| 9| 850.7949302| 37|00:24:10|+0.15|0.36|0.8510| +|-| 1| 8| 9| 780.6359442| 45|00:24:14|-0.00|0.20|0.8614| +|=| 3| 8| 9| 700.5299535| 48|00:24:11|-0.00|0.17|0.7201| +|=| 10| 8| 9| 643.3113887| 51|00:24:11|-0.00|0.14|0.6185| +|=| 6| 8| 43| 715.2340679| 54|00:20:10|-0.02|0.11|0.6644| +|=| 7| 8| 43| 669.0969492| 57|00:24:10|-0.01|0.10|0.5897| +|=| 9| 8| 42| 652.3741646| 60|00:24:12|+0.01|0.11|0.5987| +|=| 12| 8| 46| 704.0628497| 63|00:20:42|-0.01|0.08|0.6389| +|=| 4| 8| 46| 670.3909456| 66|00:24:13|-0.01|0.08|0.5855| +|=| 8| 8| 43| 711.0949294| 69|00:20:30|-0.01|0.06|0.6111| +|=| 5| 8| 43| 696.0178575| 72|00:24:08|-0.03|0.04|0.6378| +|=| 15| 8| 43| 669.6166670| 80|00:24:13|-0.03|0.04|0.5944| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 669.6166670 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 104 0.71474 68 57 49 78 38 9 + +# 2023-09-02 15:49:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 104 0.71474 68 57 49 78 38 +50 10 97 0.69601 69 54 39 60 13 +42 9 95 0.38561 47 45 12 46 48 +46 6 70 0.80614 96 62 82 15 71 +9 10 93 0.82266 54 34 64 66 10 +# 2023-09-02 15:49:29 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 458 +# remainingBudget: 42 +# currentBudget: 42 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 16| 7| 50| 500.0000000| 7|00:24:11| NA| NA| NA| +|x| 7| 7| 50| 400.0000000| 9|00:24:10|+0.00|0.50|0.4286| +|x| 13| 7| 50| 667.1760973| 11|00:17:31|+0.27|0.51|0.4562| +|x| 1| 7| 50| 625.3820730| 13|00:23:39|+0.46|0.60|0.5168| +|-| 14| 5| 50| 600.3059664| 15|00:23:46|+0.21|0.37|0.5229| +|.| 10| 5| 50| 550.2549720| 15|00:00:00|+0.17|0.31|0.4553| +|.| 4| 5| 50| 514.5042617| 15|00:00:00|+0.14|0.26|0.4014| +|.| 12| 5| 50| 600.2885906| 15|00:00:00|+0.24|0.33|0.3942| +|.| 6| 5| 50| 669.1669848| 15|00:00:00|+0.10|0.20|0.5076| +|.| 5| 5| 50| 652.2504796| 15|00:00:00|+0.10|0.19|0.5405| +|.| 3| 5| 50| 620.2277087| 15|00:00:00|+0.09|0.17|0.4931| +|.| 2| 5| 50| 670.2268492| 15|00:00:00|+0.01|0.10|0.5494| +|.| 9| 5| 50| 657.1361605| 15|00:00:00|-0.02|0.06|0.5851| +|.| 8| 5| 50| 696.0401656| 15|00:00:00|-0.01|0.07|0.5872| +|.| 11| 5| 50| 682.9744785| 15|00:00:00|-0.04|0.03|0.6112| +|.| 15| 5| 50| 659.0385736| 15|00:00:00|-0.04|0.03|0.5715| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 659.0385736 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 97 0.69601 69 54 39 60 13 9 + +# 2023-09-02 17:42:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 97 0.69601 69 54 39 60 13 +43 10 104 0.71474 68 57 49 78 38 +46 6 70 0.80614 96 62 82 15 71 +42 9 95 0.38561 47 45 12 46 48 +9 10 93 0.82266 54 34 64 66 10 +# 2023-09-02 17:42:48 -03: Iteration 7 of 7 +# experimentsUsedSoFar: 473 +# remainingBudget: 27 +# currentBudget: 27 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 17| 6| 50| 300.0000000| 6|00:24:12| NA| NA| NA| +|x| 13| 6| 46| 750.4032170| 7|00:17:33|+0.00|0.50|0.4167| +|x| 7| 6| 46| 600.2688113| 8|00:21:45|+0.00|0.33|0.2778| +|x| 14| 6| 50| 575.3824580| 9|00:21:39|+0.10|0.33|0.4444| +|=| 6| 6| 50| 704.3447940| 10|00:17:18|+0.16|0.33|0.5403| +|=| 5| 6| 50| 670.2876505| 11|00:21:38|+0.09|0.24|0.5658| +|=| 4| 6| 50| 617.3894147| 12|00:21:45|+0.08|0.21|0.4835| +|=| 15| 6| 50| 577.7157379| 13|00:21:45|+0.07|0.18|0.4222| +|=| 1| 6| 50| 569.0806559| 14|00:21:39|+0.07|0.17|0.4522| +|=| 2| 6| 50| 634.1943297| 15|00:17:26|+0.05|0.14|0.4841| +|=| 12| 6| 50| 685.7020173| 16|00:17:52|+0.04|0.13|0.5154| +|=| 9| 6| 50| 670.2308406| 17|00:21:44|-0.00|0.08|0.5622| +|=| 8| 6| 50| 711.1201784| 18|00:17:04|+0.03|0.11|0.5564| +|=| 16| 6| 50| 696.0401656| 19|00:21:39|+0.06|0.12|0.5854| +|=| 11| 6| 50| 682.9744785| 20|00:21:44|-0.00|0.07|0.6164| +|=| 3| 6| 50| 659.0385736| 21|00:21:45|-0.00|0.06|0.5776| +|=| 10| 6| 50| 637.9186575| 22|00:21:45|-0.00|0.06|0.5433| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 637.9186575 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 97 0.69601 69 54 39 60 13 9 + +# 2023-09-02 23:33:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 97 0.69601 69 54 39 60 13 +43 10 104 0.71474 68 57 49 78 38 +46 6 70 0.80614 96 62 82 15 71 +42 9 95 0.38561 47 45 12 46 48 +9 10 93 0.82266 54 34 64 66 10 +# 2023-09-02 23:33:08 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 8 +# nbIterations: 8 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 518573.4, CPU sys time: 56.497, Wall-clock time: 107549.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 97 0.69601 69 54 39 60 13 +43 10 104 0.71474 68 57 49 78 38 +46 6 70 0.80614 96 62 82 15 71 +42 9 95 0.38561 47 45 12 46 48 +9 10 93 0.82266 54 34 64 66 10 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K10 -k97 -M0.69601 -Q69 -G54 -D39 -O60 -L13 +43 -K10 -k104 -M0.71474 -Q68 -G57 -D49 -O78 -L38 +46 -K6 -k70 -M0.80614 -Q96 -G62 -D82 -O15 -L71 +42 -K9 -k95 -M0.38561 -Q47 -G45 -D12 -O46 -L48 +9 -K10 -k93 -M0.82266 -Q54 -G34 -D64 -O66 -L10 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 23:33:08 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-3.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-3.txt new file mode 100644 index 000000000..4435b6848 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-3.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:38:53 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1052123179 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:38:53 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1221.506059| 16|00:02:18| NA| NA| NA| +|x| 2| 16| 14| 760.7530295| 32|00:02:45|+0.17|0.59|1.0012| +|x| 3| 16| 13| 674.1110770| 48|00:02:39|+0.24|0.49|0.7289| +|x| 4| 16| 13| 811.3021310| 64|00:02:16|+0.32|0.49|0.6505| +|-| 5| 10| 13| 749.1019838| 80|00:02:39|-0.04|0.17|0.9307| +|=| 6| 10| 13| 674.2516532| 90|00:02:30|+0.02|0.18|0.9242| +|=| 7| 10| 5| 752.7910099| 100|00:01:55|+0.05|0.19|0.9164| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 752.7910099 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 7 37 0.11763 57 17 83 22 77 NA + +# 2023-09-01 17:55:59 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 7 37 0.11763 57 17 83 22 77 +9 4 114 0.51425 66 43 82 25 3 +13 3 44 0.89612 94 14 92 19 14 +6 10 85 0.28075 39 37 73 3 5 +16 5 50 0.44676 90 81 37 59 29 +# 2023-09-01 17:55:59 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 13| 300.0000000| 16|00:03:00| NA| NA| NA| +|x| 7| 16| 21| 761.5481845| 27|00:01:59|-0.22|0.39|1.0547| +|x| 6| 16| 21| 607.6987897| 38|00:02:29|-0.06|0.29|0.9066| +|x| 4| 16| 19| 761.8587892| 49|00:01:58|-0.10|0.18|1.0075| +|=| 5| 16| 19| 709.5149640| 60|00:02:25|-0.05|0.16|1.0078| +|=| 2| 16| 19| 641.2624700| 71|00:02:29|-0.01|0.16|0.9022| +|=| 3| 16| 5| 620.9556511| 82|00:02:27|-0.01|0.14|0.9120| +|=| 1| 16| 21| 694.2241425| 93|00:01:57|-0.00|0.12|0.8980| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 694.2241425 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 7 17 0.4756 53 14 57 43 97 5 + +# 2023-09-01 18:14:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 7 17 0.47560 53 14 57 43 97 +18 10 82 0.74055 61 70 71 35 38 +5 7 37 0.11763 57 17 83 22 77 +20 3 81 0.97900 99 21 98 34 62 +13 3 44 0.89612 94 14 92 19 14 +# 2023-09-01 18:14:46 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 36| 500.1139760| 15|00:03:06| NA| NA| NA| +|x| 2| 15| 36| 400.0569880| 25|00:02:30|-0.25|0.37|1.1501| +|x| 8| 15| 36| 366.7046587| 35|00:02:30|+0.08|0.39|0.8451| +|x| 6| 15| 36| 350.0284940| 45|00:02:30|+0.14|0.36|0.7658| +|=| 3| 15| 20| 380.0537102| 55|00:02:29|+0.15|0.32|0.7853| +|=| 1| 15| 20| 520.4152938| 65|00:02:30|+0.11|0.26|0.8468| +|-| 5| 11| 21| 514.8988399| 75|00:02:30|-0.07|0.09|0.7749| +|=| 4| 11| 13| 605.7085828| 81|00:01:10|-0.06|0.07|0.7923| +|=| 7| 11| 29| 673.6214950| 87|00:01:10|-0.00|0.11|0.7728| +|=| 10| 11| 36| 728.7408070| 98|00:01:58|+0.02|0.12|0.7683| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 728.7408070 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 5 81 0.79471 83 34 87 55 92 20 + +# 2023-09-01 18:37:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 5 81 0.79471 83 34 87 55 92 +29 2 32 0.69625 66 14 89 8 92 +13 3 44 0.89612 94 14 92 19 14 +31 9 75 0.11871 42 1 83 1 85 +18 10 82 0.74055 61 70 71 35 38 +# 2023-09-01 18:37:12 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 291 +# remainingBudget: 209 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 46| 500.0461950| 14|00:02:28| NA| NA| NA| +|x| 10| 14| 46| 861.4250150| 23|00:01:56|+0.69|0.84|0.3573| +|x| 2| 14| 46| 674.2833433| 32|00:02:30|+0.13|0.42|1.0235| +|x| 9| 14| 46| 630.7518757| 41|00:02:27|+0.26|0.45|0.7638| +|-| 5| 9| 46| 604.6120662| 50|00:02:24|+0.06|0.25|0.9315| +|=| 3| 9| 46| 587.1910137| 54|00:02:19|+0.17|0.31|0.8428| +|=| 6| 9| 46| 546.1637260| 58|00:02:29|+0.13|0.25|0.8456| +|-| 4| 7| 46| 630.7001430| 62|00:01:50|+0.21|0.31|0.6023| +|=| 7| 7| 46| 696.9400244| 64|00:01:51|+0.07|0.17|0.7006| +|=| 1| 7| 46| 749.4683332| 66|00:01:50|-0.00|0.10|0.7690| +|=| 8| 7| 46| 708.6075756| 68|00:02:30|+0.01|0.10|0.7508| +|=| 12| 7| 46| 674.5569443| 75|00:02:30|+0.01|0.09|0.6906| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 674.5569443 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 4 76 0.93642 86 21 77 1 13 13 + +# 2023-09-01 19:04:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 4 76 0.93642 86 21 77 1 13 +13 3 44 0.89612 94 14 92 19 14 +38 10 102 0.90412 67 64 91 64 33 +31 9 75 0.11871 42 1 83 1 85 +29 2 32 0.69625 66 14 89 8 92 +# 2023-09-01 19:04:22 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 366 +# remainingBudget: 134 +# currentBudget: 134 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 49| 500.0861560| 14|00:02:28| NA| NA| NA| +|x| 2| 14| 49| 400.0430780| 23|00:02:15|+0.00|0.50|0.4643| +|x| 11| 14| 31| 433.3978787| 32|00:02:14|-0.04|0.31|0.4888| +|x| 8| 14| 31| 400.0484090| 41|00:02:15|+0.13|0.35|0.5245| +|=| 10| 14| 46| 564.6227858| 50|00:02:14|+0.04|0.23|0.6703| +|=| 5| 14| 46| 553.8611262| 59|00:02:14|+0.12|0.26|0.6825| +|=| 6| 14| 46| 517.5952510| 68|00:02:15|+0.10|0.23|0.5980| +|=| 12| 14| 46| 490.3958446| 77|00:02:14|+0.08|0.20|0.5314| +|-| 1| 10| 31| 571.8209834| 86|00:02:14|-0.04|0.08|0.6142| +|=| 3| 10| 46| 564.5475620| 91|00:02:09|-0.03|0.07|0.6214| +|=| 9| 10| 46| 558.6939175| 96|00:02:09|-0.01|0.08|0.6421| +|=| 7| 10| 46| 614.3743474| 101|00:01:44|-0.02|0.06|0.6650| +|=| 4| 10| 46| 661.1497870| 106|00:01:43|-0.04|0.04|0.7112| +|=| 14| 10| 46| 701.2499376| 116|00:01:54|-0.03|0.04|0.7098| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 701.2499376 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 4 76 0.93642 86 21 77 1 13 13 + +# 2023-09-01 19:34:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 4 76 0.93642 86 21 77 1 13 +31 9 75 0.11871 42 1 83 1 85 +29 2 32 0.69625 66 14 89 8 92 +50 4 63 0.78892 94 24 68 14 5 +53 9 103 0.94305 77 55 92 69 46 +# 2023-09-01 19:34:34 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 482 +# timeUsed: 0 +# remainingBudget: 18 +# currentBudget: 18 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 36013.18, CPU sys time: 6.998, Wall-clock time: 6940.807 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 4 76 0.93642 86 21 77 1 13 +31 9 75 0.11871 42 1 83 1 85 +29 2 32 0.69625 66 14 89 8 92 +50 4 63 0.78892 94 24 68 14 5 +53 9 103 0.94305 77 55 92 69 46 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +46 -K4 -k76 -M0.93642 -Q86 -G21 -D77 -O1 -L13 +31 -K9 -k75 -M0.11871 -Q42 -G1 -D83 -O1 -L85 +29 -K2 -k32 -M0.69625 -Q66 -G14 -D89 -O8 -L92 +50 -K4 -k63 -M0.78892 -Q94 -G24 -D68 -O14 -L5 +53 -K9 -k103 -M0.94305 -Q77 -G55 -D92 -O69 -L46 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-01 19:34:34 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-30.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-30.txt new file mode 100644 index 000000000..c5c34ad7e --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-30.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:40:10 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 271776548 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:40:10 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:25:03| NA| NA| NA| +|x| 2| 16| 1| 752.3160660| 32|00:20:19|+0.21|0.60|0.5283| +|x| 3| 16| 5| 670.3569073| 48|00:24:27|+0.25|0.50|0.6750| +|x| 4| 16| 14| 628.0082032| 64|00:24:27|+0.30|0.47|0.5790| +|-| 5| 9| 14| 562.4065626| 80|00:25:04|-0.12|0.10|0.5985| +|=| 6| 9| 14| 669.2428757| 89|00:16:58|+0.01|0.18|0.6002| +|=| 7| 9| 14| 645.0681030| 98|00:21:59|+0.10|0.23|0.5980| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 645.0681030 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 9 89 0.31747 100 12 58 98 91 NA + +# 2023-09-01 20:18:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 9 89 0.31747 100 12 58 98 91 +6 8 57 0.11745 67 24 89 54 75 +9 6 64 0.40172 45 37 21 41 27 +1 3 43 0.38791 85 32 39 75 17 +5 3 88 0.58839 72 47 45 68 70 +# 2023-09-01 20:18:31 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 14| 300.0000000| 16|00:35:00| NA| NA| NA| +|x| 5| 16| 14| 300.0000000| 27|00:22:32|+1.00|1.00|0.0000| +|x| 6| 16| 6| 600.6937623| 38|00:17:51|+0.00|0.33|0.3125| +|x| 1| 16| 6| 525.5203217| 49|00:22:32|+0.00|0.25|0.2344| +|=| 4| 16| 14| 520.6848882| 60|00:22:18|+0.03|0.23|0.3398| +|=| 7| 16| 9| 518.6157880| 71|00:22:17|+0.12|0.26|0.3839| +|=| 2| 16| 23| 617.6635137| 82|00:17:46|+0.05|0.18|0.5141| +|=| 3| 16| 23| 602.9555746| 93|00:22:17|+0.09|0.20|0.5566| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 602.9555746 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 119 0.34678 92 14 50 46 89 14 + +# 2023-09-01 23:21:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 119 0.34678 92 14 50 46 89 +14 9 89 0.31747 100 12 58 98 91 +27 8 108 0.13523 92 29 56 37 89 +18 7 5 0.75499 69 0 47 48 40 +9 6 64 0.40172 45 37 21 41 27 +# 2023-09-01 23:21:07 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 27| 1200.814814| 15|00:31:08| NA| NA| NA| +|x| 3| 15| 27| 850.4077115| 25|00:24:43|+0.32|0.66|0.6264| +|x| 2| 15| 27| 967.9666980| 35|00:20:46|+0.32|0.54|0.6421| +|x| 1| 15| 27| 800.9750235| 45|00:25:03|+0.24|0.43|0.6963| +|-| 8| 9| 27| 700.7800188| 55|00:25:01|+0.11|0.29|0.5377| +|=| 5| 9| 27| 633.9833490| 59|00:17:30|+0.09|0.24|0.4473| +|=| 7| 9| 27| 614.8449110| 63|00:17:11|+0.05|0.18|0.5278| +|=| 6| 9| 32| 689.5321354| 67|00:12:13|-0.00|0.12|0.5714| +|=| 4| 9| 23| 671.5808447| 71|00:16:56|-0.03|0.08|0.6241| +|=| 10| 9| 23| 724.5661171| 80|00:17:12|-0.03|0.08|0.6551| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 724.5661171 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 119 0.34678 92 14 50 46 89 14 + +# 2023-09-02 02:48:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 119 0.34678 92 14 50 46 89 +27 8 108 0.13523 92 29 56 37 89 +14 9 89 0.31747 100 12 58 98 91 +32 7 109 0.24084 75 20 88 9 82 +37 7 77 0.31424 92 31 25 51 38 +# 2023-09-02 02:48:54 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 271 +# remainingBudget: 229 +# currentBudget: 114 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 23| 300.0000000| 14|00:30:01| NA| NA| NA| +|x| 3| 14| 23| 400.0000005| 23|00:24:48|+0.00|0.50|0.4643| +|x| 8| 14| 23| 366.6666670| 32|00:25:01|+0.00|0.33|0.3095| +|x| 10| 14| 23| 575.3583925| 41|00:19:58|+0.00|0.25|0.4619| +|=| 7| 14| 23| 560.2895706| 50|00:24:48|+0.09|0.27|0.5034| +|=| 6| 14| 23| 670.5455697| 59|00:19:59|+0.12|0.27|0.5491| +|=| 9| 14| 43| 746.5505154| 68|00:19:13|+0.09|0.22|0.5997| +|=| 1| 14| 43| 690.7317010| 77|00:25:00|+0.07|0.19|0.5327| +|-| 2| 11| 43| 747.5546628| 86|00:19:43|-0.02|0.09|0.6447| +|=| 4| 11| 23| 724.5661171| 92|00:24:45|-0.01|0.09|0.6686| +|=| 5| 11| 23| 685.9691974| 98|00:24:59|-0.01|0.08|0.6049| +|=| 12| 11| 43| 669.0025587| 109|00:24:54|-0.01|0.08|0.6280| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 669.0025587 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 104 0.29281 79 0 76 79 94 23 + +# 2023-09-02 07:32:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 104 0.29281 79 0 76 79 94 +23 9 119 0.34678 92 14 50 46 89 +27 8 108 0.13523 92 29 56 37 89 +38 8 112 0.45889 91 30 75 24 60 +14 9 89 0.31747 100 12 58 98 91 +# 2023-09-02 07:32:09 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 380 +# remainingBudget: 120 +# currentBudget: 120 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 23| 500.0000000| 13|00:40:40| NA| NA| NA| +|x| 11| 13| 23| 400.0000000| 21|00:25:04|+0.00|0.50|0.4615| +|x| 8| 13| 23| 366.6666667| 29|00:25:05|+0.00|0.33|0.3077| +|x| 4| 13| 23| 400.0000000| 37|00:24:52|-0.04|0.22|0.4970| +|=| 5| 13| 23| 380.0000000| 45|00:25:04|-0.03|0.18|0.3905| +|=| 1| 13| 23| 366.6666667| 53|00:25:05|-0.02|0.15|0.3219| +|=| 9| 13| 14| 486.0009054| 61|00:20:42|-0.03|0.12|0.4203| +|=| 7| 13| 14| 487.7532256| 69|00:24:58|-0.00|0.12|0.4618| +|=| 12| 13| 47| 489.0503080| 77|00:24:54|+0.01|0.12|0.5000| +|=| 10| 13| 47| 560.2656602| 85|00:21:23|+0.03|0.13|0.5236| +|=| 2| 13| 47| 620.2707243| 93|00:20:41|+0.05|0.13|0.5593| +|=| 6| 13| 51| 668.8609838| 101|00:20:31|+0.02|0.10|0.5966| +|=| 3| 13| 51| 655.8721447| 109|00:24:55|+0.05|0.12|0.6141| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 655.8721447 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 10 97 0.52275 100 13 31 60 78 23 + +# 2023-09-02 12:56:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 10 97 0.52275 100 13 31 60 78 +47 9 109 0.34195 94 9 100 34 51 +23 9 119 0.34678 92 14 50 46 89 +43 10 104 0.29281 79 0 76 79 94 +38 8 112 0.45889 91 30 75 24 60 +# 2023-09-02 12:56:08 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 505769.8, CPU sys time: 71.408, Wall-clock time: 69357.95 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 10 97 0.52275 100 13 31 60 78 +47 9 109 0.34195 94 9 100 34 51 +23 9 119 0.34678 92 14 50 46 89 +43 10 104 0.29281 79 0 76 79 94 +38 8 112 0.45889 91 30 75 24 60 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +51 -K10 -k97 -M0.52275 -Q100 -G13 -D31 -O60 -L78 +47 -K9 -k109 -M0.34195 -Q94 -G9 -D100 -O34 -L51 +23 -K9 -k119 -M0.34678 -Q92 -G14 -D50 -O46 -L89 +43 -K10 -k104 -M0.29281 -Q79 -G0 -D76 -O79 -L94 +38 -K8 -k112 -M0.45889 -Q91 -G30 -D75 -O24 -L60 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 12:56:08 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-31.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-31.txt new file mode 100644 index 000000000..0be1c6429 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-31.txt @@ -0,0 +1,260 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:41:25 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 76846269 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:41:25 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:28:26| NA| NA| NA| +|x| 2| 16| 14| 751.4533735| 32|00:25:35|+0.73|0.86|0.5362| +|x| 3| 16| 3| 668.3333097| 48|00:28:26|+0.60|0.74|0.4353| +|x| 4| 16| 3| 576.2499823| 64|00:28:25|+0.70|0.77|0.3459| +|-| 5| 10| 14| 700.7610364| 80|00:25:05|-0.06|0.16|0.5889| +|=| 6| 10| 14| 667.3010037| 90|00:25:50|-0.04|0.14|0.6647| +|=| 7| 10| 14| 643.4034153| 100|00:25:53|+0.07|0.20|0.6572| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 643.4034153 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 87 0.65501 86 36 94 22 12 NA + +# 2023-09-01 20:49:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 87 0.65501 86 36 94 22 12 +6 6 8 0.12007 71 24 90 1 20 +9 6 107 0.80893 89 45 75 44 93 +13 6 87 0.80613 80 34 60 6 74 +3 6 109 0.18327 27 88 31 19 62 +# 2023-09-01 20:49:07 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 14| 300.0000000| 16|00:36:09| NA| NA| NA| +|x| 7| 16| 18| 400.0000045| 27|00:25:49|+0.00|0.50|0.4688| +|x| 1| 16| 18| 366.6666697| 38|00:25:50|+0.00|0.33|0.3125| +|x| 3| 16| 18| 400.0075198| 49|00:25:49|+0.09|0.31|0.4143| +|=| 4| 16| 18| 380.0060158| 60|00:25:50|+0.06|0.25|0.3423| +|-| 6| 12| 18| 400.0100852| 71|00:25:49|-0.04|0.13|0.4766| +|=| 2| 12| 14| 514.7097526| 78|00:23:16|-0.04|0.11|0.5206| +|=| 5| 12| 14| 600.4779884| 85|00:23:06|-0.07|0.07|0.5870| +|=| 9| 12| 14| 667.1607187| 97|00:24:29|-0.01|0.10|0.6084| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 667.1607187 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 87 0.65501 86 36 94 22 12 NA + +# 2023-09-02 00:45:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 87 0.65501 86 36 94 22 12 +18 10 100 0.76627 33 78 94 4 13 +26 5 28 0.46846 72 63 58 4 55 +6 6 8 0.12007 71 24 90 1 20 +9 6 107 0.80893 89 45 75 44 93 +# 2023-09-02 00:45:20 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 18| 500.0000020| 14|00:38:42| NA| NA| NA| +|x| 4| 14| 18| 400.0000010| 23|00:25:50|+0.00|0.50|0.4643| +|x| 1| 14| 18| 366.6666673| 32|00:25:50|+0.00|0.33|0.3095| +|x| 8| 14| 18| 350.0000005| 41|00:25:50|+0.00|0.25|0.2321| +|=| 2| 14| 28| 520.1965488| 50|00:24:56|+0.13|0.30|0.3165| +|-| 6| 11| 14| 517.1516958| 59|00:25:51|+0.07|0.23|0.3746| +|=| 3| 11| 14| 514.7075673| 65|00:25:50|-0.05|0.10|0.4901| +|=| 5| 11| 14| 600.4760763| 71|00:21:55|-0.06|0.07|0.5790| +|=| 9| 11| 14| 667.1590190| 77|00:21:25|-0.00|0.11|0.6041| +|=| 7| 11| 14| 650.4449056| 83|00:25:50|-0.00|0.10|0.6352| +|=| 11| 11| 14| 618.5862778| 94|00:25:55|-0.00|0.09|0.5776| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 618.5862778 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 87 0.65501 86 36 94 22 12 NA + +# 2023-09-02 05:33:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 87 0.65501 86 36 94 22 12 +18 10 100 0.76627 33 78 94 4 13 +6 6 8 0.12007 71 24 90 1 20 +28 7 84 0.83209 92 77 95 33 36 +29 10 18 0.21713 64 45 94 2 19 +# 2023-09-02 05:33:19 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 291 +# remainingBudget: 209 +# currentBudget: 104 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 38| 1204.073192| 13|00:35:31| NA| NA| NA| +|x| 10| 13| 41| 860.4325750| 21|00:25:53|-0.02|0.49|1.4369| +|x| 1| 13| 41| 673.6217167| 29|00:25:54|-0.01|0.33|0.7867| +|x| 9| 13| 41| 807.0203860| 37|00:22:42|+0.03|0.27|0.7959| +|=| 4| 13| 41| 705.6163088| 45|00:25:55|+0.02|0.22|0.6160| +|=| 7| 13| 37| 670.3984047| 53|00:25:54|+0.09|0.24|0.6243| +|-| 6| 8| 37| 646.0557796| 61|00:25:50|-0.03|0.11|0.6823| +|=| 5| 8| 37| 717.9360464| 64|00:21:10|-0.03|0.10|0.7014| +|=| 11| 8| 37| 671.4987079| 67|00:25:49|-0.03|0.08|0.6185| +|=| 8| 8| 37| 634.3488371| 70|00:25:50|-0.03|0.08|0.5531| +|=| 2| 8| 37| 685.8375638| 73|00:20:42|-0.00|0.09|0.5822| +|=| 3| 8| 37| 670.3526773| 76|00:25:50|+0.00|0.09|0.6119| +|=| 13| 8| 37| 712.6483927| 84|00:24:04|+0.01|0.08|0.6371| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 712.6483927 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 9 100 0.6688 81 44 82 6 1 14 + +# 2023-09-02 11:04:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 9 100 0.66880 81 44 82 6 1 +41 10 76 0.72942 79 45 72 33 42 +14 10 87 0.65501 86 36 94 22 12 +38 8 77 0.54714 71 61 79 40 24 +18 10 100 0.76627 33 78 94 4 13 +# 2023-09-02 11:04:29 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 375 +# remainingBudget: 125 +# currentBudget: 125 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 14| 500.0000000| 13|00:36:11| NA| NA| NA| +|x| 12| 13| 49| 851.0670080| 21|00:24:03|+0.13|0.57|1.1397| +|x| 1| 13| 49| 667.3780053| 29|00:25:50|+0.07|0.38|0.6876| +|x| 4| 13| 49| 575.5335040| 37|00:25:52|+0.04|0.28|0.4976| +|=| 13| 13| 52| 700.1626796| 45|00:23:34|+0.08|0.26|0.5591| +|=| 10| 13| 47| 673.4079857| 53|00:25:55|-0.02|0.15|0.6522| +|=| 5| 13| 52| 743.0143533| 61|00:23:38|-0.02|0.12|0.6807| +|=| 6| 13| 41| 715.5345123| 69|00:25:56|-0.03|0.10|0.7103| +|=| 11| 13| 41| 669.3640109| 77|00:25:52|-0.02|0.09|0.6294| +|=| 2| 13| 47| 728.1508301| 85|00:23:51|-0.04|0.06|0.6569| +|=| 9| 13| 47| 771.2312212| 93|00:23:44|-0.03|0.06|0.6784| +|=| 3| 13| 47| 748.6286203| 101|00:25:54|-0.00|0.08|0.6782| +|=| 8| 13| 47| 714.1187265| 109|00:25:53|-0.00|0.07|0.6271| +|=| 7| 13| 37| 697.4592224| 117|00:25:49|-0.00|0.07|0.6464| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 697.4592224 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 9 100 0.6688 81 44 82 6 1 14 + +# 2023-09-02 17:06:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 9 100 0.66880 81 44 82 6 1 +47 10 114 0.88670 81 61 89 13 28 +50 9 87 0.67876 83 45 65 4 2 +14 10 87 0.65501 86 36 94 22 12 +41 10 76 0.72942 79 45 72 33 42 +# 2023-09-02 17:06:38 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 542940.4, CPU sys time: 38.668, Wall-clock time: 84312.79 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 9 100 0.66880 81 44 82 6 1 +47 10 114 0.88670 81 61 89 13 28 +50 9 87 0.67876 83 45 65 4 2 +14 10 87 0.65501 86 36 94 22 12 +41 10 76 0.72942 79 45 72 33 42 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +37 -K9 -k100 -M0.6688 -Q81 -G44 -D82 -O6 -L1 +47 -K10 -k114 -M0.8867 -Q81 -G61 -D89 -O13 -L28 +50 -K9 -k87 -M0.67876 -Q83 -G45 -D65 -O4 -L2 +14 -K10 -k87 -M0.65501 -Q86 -G36 -D94 -O22 -L12 +41 -K10 -k76 -M0.72942 -Q79 -G45 -D72 -O33 -L42 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 17:06:38 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-32.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-32.txt new file mode 100644 index 000000000..9c5163a36 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-32.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:39:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1767962727 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:39:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:26:40| NA| NA| NA| +|x| 2| 16| 10| 400.0000005| 32|00:26:32|+0.22|0.61|0.7458| +|x| 3| 16| 11| 667.1885463| 48|00:24:58|+0.38|0.58|0.6912| +|x| 4| 16| 11| 625.3914720| 64|00:26:33|+0.42|0.56|0.5656| +|-| 5| 9| 11| 744.3754886| 80|00:24:51|-0.06|0.15|0.8104| +|=| 6| 9| 11| 670.3129072| 89|00:24:00|-0.05|0.12|0.6588| +|=| 7| 9| 11| 617.4110633| 98|00:23:59|-0.04|0.11|0.5552| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 617.4110633 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 99 0.49758 99 37 50 15 15 NA + +# 2023-09-01 20:36:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 99 0.49758 99 37 50 15 15 +6 8 25 0.40359 71 98 71 90 64 +10 6 73 0.70236 97 46 38 69 81 +1 9 53 0.26319 83 76 76 4 31 +13 7 113 0.19463 58 16 87 92 19 +# 2023-09-01 20:36:49 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 11| 500.0000000| 16|00:36:11| NA| NA| NA| +|x| 5| 16| 13| 851.5264720| 27|00:22:05|+0.18|0.59|0.8891| +|x| 6| 16| 13| 667.6843147| 38|00:26:39|+0.09|0.39|0.6089| +|x| 4| 16| 13| 625.7632900| 49|00:26:11|-0.06|0.21|0.7854| +|=| 7| 16| 13| 560.6106320| 60|00:26:39|-0.04|0.16|0.6119| +|=| 2| 16| 11| 553.3857895| 71|00:26:10|+0.00|0.17|0.6706| +|=| 3| 16| 11| 645.9824919| 82|00:22:06|+0.06|0.19|0.6795| +|=| 1| 16| 11| 602.7346804| 93|00:26:40|+0.05|0.17|0.5933| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 602.7346804 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 99 0.49758 99 37 50 15 15 NA + +# 2023-09-02 00:09:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 99 0.49758 99 37 50 15 15 +13 7 113 0.19463 58 16 87 92 19 +6 8 25 0.40359 71 98 71 90 64 +10 6 73 0.70236 97 46 38 69 81 +27 8 57 0.86820 85 4 13 43 97 +# 2023-09-02 00:09:34 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 30| 1200.771011| 15|00:27:19| NA| NA| NA| +|x| 2| 15| 10| 850.9464005| 25|00:26:16|+0.61|0.80|0.3477| +|x| 3| 15| 10| 968.4797430| 35|00:21:48|+0.33|0.56|0.5736| +|x| 7| 15| 10| 801.3598073| 45|00:26:39|+0.22|0.42|0.5201| +|=| 5| 15| 11| 884.7419902| 55|00:21:44|+0.10|0.28|0.6880| +|=| 1| 15| 11| 787.2849918| 65|00:26:39|+0.08|0.23|0.5831| +|=| 8| 15| 11| 746.2442787| 75|00:26:16|+0.09|0.22|0.6206| +|=| 6| 15| 11| 690.4637439| 85|00:26:40|+0.08|0.19|0.5488| +|-| 4| 10| 11| 669.3011333| 95|00:26:16|-0.05|0.07|0.6158| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 669.3011333 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 99 0.49758 99 37 50 15 15 NA + +# 2023-09-02 03:59:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 99 0.49758 99 37 50 15 15 +10 6 73 0.70236 97 46 38 69 81 +34 6 106 0.20911 96 21 48 10 11 +30 9 102 0.31539 57 11 79 56 32 +13 7 113 0.19463 58 16 87 92 19 +# 2023-09-02 03:59:17 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 11| 300.0000000| 15|00:34:41| NA| NA| NA| +|x| 1| 15| 11| 300.0000000| 25|00:26:42|+1.00|1.00|0.0000| +|x| 2| 15| 38| 366.6666667| 35|00:25:54|+0.14|0.42|0.7037| +|x| 8| 15| 41| 400.0000005| 45|00:25:59|+0.17|0.37|0.8042| +|-| 9| 12| 11| 560.3671380| 55|00:18:53|-0.01|0.19|0.5724| +|=| 3| 12| 11| 667.2330660| 62|00:17:53|+0.02|0.18|0.6206| +|=| 4| 12| 11| 643.3426636| 69|00:25:45|+0.04|0.17|0.6160| +|=| 7| 12| 11| 600.4248306| 76|00:26:39|+0.03|0.15|0.5438| +|=| 5| 12| 11| 669.3011333| 83|00:18:00|+0.04|0.15|0.5731| +|=| 6| 12| 11| 632.3710200| 90|00:26:40|+0.04|0.13|0.5196| +|=| 11| 12| 11| 620.3407031| 102|00:26:08|+0.03|0.12|0.5500| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 620.3407031 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 99 0.49758 99 37 50 15 15 NA + +# 2023-09-02 08:32:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 99 0.49758 99 37 50 15 15 +38 10 118 0.42696 79 18 25 57 40 +43 8 86 0.31438 97 34 47 44 12 +46 9 113 0.25172 58 44 85 28 30 +10 6 73 0.70236 97 46 38 69 81 +# 2023-09-02 08:32:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 50| 1201.878388| 13|00:24:40| NA| NA| NA| +|x| 8| 13| 50| 850.9396330| 21|00:26:22|-0.29|0.35|0.7301| +|x| 10| 13| 50| 667.2930887| 29|00:26:40|-0.15|0.24|0.5511| +|x| 1| 13| 50| 575.4698165| 37|00:26:40|-0.10|0.18|0.4294| +|=| 6| 13| 50| 520.3758532| 45|00:26:39|-0.07|0.14|0.3499| +|=| 7| 13| 50| 483.6465443| 53|00:26:41|-0.06|0.12|0.2948| +|=| 11| 13| 50| 485.9835454| 61|00:26:23|-0.03|0.12|0.3889| +|=| 2| 13| 38| 490.0564262| 69|00:26:22|-0.03|0.10|0.4403| +|=| 3| 13| 50| 567.0276500| 77|00:19:14|+0.01|0.12|0.4869| +|=| 5| 13| 50| 630.5525315| 85|00:20:25|+0.02|0.12|0.5101| +|=| 9| 13| 50| 684.3011452| 93|00:19:25|-0.00|0.09|0.5713| +|=| 4| 13| 49| 670.5230748| 101|00:26:24|+0.02|0.11|0.5990| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 670.5230748 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 8 89 0.46751 86 40 25 62 0 43 + +# 2023-09-02 13:28:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 8 89 0.46751 86 40 25 62 0 +50 9 81 0.21764 93 38 33 44 33 +11 8 99 0.49758 99 37 50 15 15 +38 10 118 0.42696 79 18 25 57 40 +53 6 98 0.53764 60 25 61 10 4 +# 2023-09-02 13:28:36 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 506021.7, CPU sys time: 45.675, Wall-clock time: 71364.25 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 8 89 0.46751 86 40 25 62 0 +50 9 81 0.21764 93 38 33 44 33 +11 8 99 0.49758 99 37 50 15 15 +38 10 118 0.42696 79 18 25 57 40 +53 6 98 0.53764 60 25 61 10 4 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K8 -k89 -M0.46751 -Q86 -G40 -D25 -O62 -L0 +50 -K9 -k81 -M0.21764 -Q93 -G38 -D33 -O44 -L33 +11 -K8 -k99 -M0.49758 -Q99 -G37 -D50 -O15 -L15 +38 -K10 -k118 -M0.42696 -Q79 -G18 -D25 -O57 -L40 +53 -K6 -k98 -M0.53764 -Q60 -G25 -D61 -O10 -L4 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 13:28:36 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-33.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-33.txt new file mode 100644 index 000000000..c319fc975 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-33.txt @@ -0,0 +1,250 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:38:52 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1004244298 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:38:52 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 500.0081890| 16|00:27:30| NA| NA| NA| +|x| 2| 16| 10| 850.5064690| 32|00:25:37|+0.26|0.63|0.7307| +|x| 3| 16| 1| 673.9544030| 48|00:27:29|-0.03|0.31|0.9538| +|x| 4| 16| 5| 803.9565858| 64|00:25:35|+0.04|0.28|0.8441| +|=| 5| 16| 5| 703.1652686| 80|00:27:32|+0.01|0.21|0.7906| +|=| 6| 16| 5| 669.3108123| 96|00:27:27|+0.03|0.19|0.8022| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 669.3108123 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 5 1 0.67675 93 79 40 55 45 NA + +# 2023-09-01 20:20:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 5 1 0.67675 93 79 40 55 45 +2 2 111 0.28833 70 50 11 7 64 +13 8 87 0.37694 39 31 89 57 18 +14 4 108 0.62300 39 80 82 98 35 +1 9 119 0.36918 49 71 42 82 79 +# 2023-09-01 20:20:05 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 22| 1201.028233| 18|00:25:09| NA| NA| NA| +|x| 4| 18| 22| 1203.256693| 31|00:20:24|-0.11|0.45|0.8648| +|x| 6| 18| 22| 968.8461910| 44|00:24:22|+0.19|0.46|0.7282| +|x| 5| 18| 22| 801.6346432| 57|00:24:45|+0.12|0.34|0.6002| +|-| 1| 9| 22| 741.3092450| 70|00:24:15|+0.15|0.32|0.6182| +|=| 3| 9| 22| 667.7577042| 74|00:24:45|+0.12|0.27|0.5306| +|=| 2| 9| 22| 743.8713727| 78|00:18:12|+0.13|0.26|0.5839| +|-| 8| 2| 22| 713.3874541| 87|00:24:15|+0.24|0.33|0.2857| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 713.3874541 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 8 91 0.65307 41 2 21 26 13 13 + +# 2023-09-01 23:26:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 8 91 0.65307 41 2 21 26 13 +28 5 101 0.78042 66 90 9 93 74 +# 2023-09-01 23:26:15 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 13| 22| 300.0000000| 13|00:24:46| NA| NA| NA| +|x| 4| 13| 32| 750.1980255| 24|00:18:58|+0.00|0.50|0.4615| +|x| 7| 13| 22| 902.1711283| 35|00:19:10|+0.24|0.49|0.5032| +|x| 2| 13| 22| 976.7666923| 46|00:19:18|+0.18|0.39|0.5534| +|-| 8| 6| 22| 881.4133586| 57|00:24:08|+0.03|0.22|0.6774| +|=| 3| 6| 22| 784.5111322| 61|00:22:00|+0.02|0.19|0.5627| +|=| 6| 6| 22| 743.8702830| 65|00:21:34|-0.08|0.07|0.6666| +|=| 1| 6| 22| 713.3874541| 69|00:21:29|-0.01|0.11|0.6696| +|=| 5| 6| 22| 667.4555148| 73|00:21:59|-0.01|0.10|0.5902| +|=| 10| 6| 22| 630.7099633| 79|00:22:00|-0.01|0.09|0.5277| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 630.7099633 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 8 91 0.65307 41 2 21 26 13 13 + +# 2023-09-02 03:01:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 8 91 0.65307 41 2 21 26 13 +38 8 117 0.73584 17 2 37 31 8 +40 6 94 0.64917 78 49 18 50 47 +35 5 98 0.87591 57 77 21 60 67 +32 8 113 0.62077 59 46 45 12 81 +# 2023-09-02 03:01:42 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 262 +# remainingBudget: 238 +# currentBudget: 119 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 50| 1201.043373| 15|00:25:31| NA| NA| NA| +|x| 4| 15| 42| 1211.353704| 25|00:21:02|-0.19|0.40|1.0809| +|x| 6| 15| 22| 975.4880770| 35|00:24:27|-0.04|0.31|0.9517| +|x| 7| 15| 35| 1035.428735| 45|00:20:55|-0.09|0.19|0.9810| +|=| 9| 15| 35| 888.3429876| 55|00:24:45|-0.06|0.15|0.7753| +|=| 8| 15| 22| 821.2487480| 65|00:24:29|+0.03|0.19|0.7418| +|=| 3| 15| 22| 746.7846411| 75|00:24:44|+0.03|0.17|0.6409| +|=| 10| 15| 22| 690.9365610| 85|00:24:45|+0.02|0.15|0.5640| +|=| 2| 15| 22| 747.5606524| 95|00:21:31|+0.03|0.14|0.6097| +|=| 5| 15| 22| 702.8045872| 105|00:24:44|+0.03|0.12|0.5500| +|=| 1| 15| 22| 684.3685022| 115|00:24:29|+0.06|0.15|0.5626| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 684.3685022 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 8 91 0.65307 41 2 21 26 13 13 + +# 2023-09-02 07:23:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 8 91 0.65307 41 2 21 26 13 +35 5 98 0.87591 57 77 21 60 67 +45 8 98 0.69539 45 14 51 59 58 +38 8 117 0.73584 17 2 37 31 8 +40 6 94 0.64917 78 49 18 50 47 +# 2023-09-02 07:23:10 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 377 +# remainingBudget: 123 +# currentBudget: 123 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 58| 500.0007660| 14|00:29:52| NA| NA| NA| +|x| 9| 14| 53| 400.0020080| 23|00:27:29|-0.34|0.33|1.2530| +|x| 6| 14| 40| 433.3382583| 32|00:26:38|-0.08|0.28|1.0283| +|x| 11| 14| 53| 625.6311573| 41|00:19:31|-0.10|0.18|1.0222| +|=| 2| 14| 53| 740.5857690| 50|00:20:43|+0.05|0.24|0.9005| +|=| 8| 14| 53| 700.4884958| 59|00:26:42|+0.13|0.27|0.8841| +|=| 10| 14| 53| 643.2758536| 68|00:27:30|+0.07|0.20|0.9076| +|=| 4| 14| 53| 715.4675919| 77|00:19:46|+0.07|0.19|0.8986| +|=| 3| 14| 53| 669.3045261| 86|00:27:30|+0.04|0.15|0.8818| +|=| 5| 14| 53| 632.3740735| 95|00:27:29|+0.03|0.13|0.8517| +|=| 7| 14| 22| 684.3696103| 104|00:20:39|+0.01|0.10|0.8692| +|=| 1| 14| 22| 669.0061138| 113|00:26:32|+0.04|0.12|0.8706| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 669.0061138 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 8 91 0.65307 41 2 21 26 13 13 + +# 2023-09-02 12:23:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 8 91 0.65307 41 2 21 26 13 +53 9 75 0.83841 36 12 13 10 23 +54 6 91 0.64808 45 1 4 22 26 +56 10 103 0.84339 39 38 62 60 84 +45 8 98 0.69539 45 14 51 59 58 +# 2023-09-02 12:23:38 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 478783.7, CPU sys time: 70.328, Wall-clock time: 67486.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 8 91 0.65307 41 2 21 26 13 +53 9 75 0.83841 36 12 13 10 23 +54 6 91 0.64808 45 1 4 22 26 +56 10 103 0.84339 39 38 62 60 84 +45 8 98 0.69539 45 14 51 59 58 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +22 -K8 -k91 -M0.65307 -Q41 -G2 -D21 -O26 -L13 +53 -K9 -k75 -M0.83841 -Q36 -G12 -D13 -O10 -L23 +54 -K6 -k91 -M0.64808 -Q45 -G1 -D4 -O22 -L26 +56 -K10 -k103 -M0.84339 -Q39 -G38 -D62 -O60 -L84 +45 -K8 -k98 -M0.69539 -Q45 -G14 -D51 -O59 -L58 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 12:23:38 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-34.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-34.txt new file mode 100644 index 000000000..62767aadf --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-34.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:36:42 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 469545132 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:36:42 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 500.0000030| 16|00:28:27| NA| NA| NA| +|x| 2| 16| 16| 850.5291500| 32|00:25:11|+0.57|0.78|0.3988| +|x| 3| 16| 16| 667.0194333| 48|00:28:22|+0.48|0.65|0.6014| +|x| 4| 16| 16| 575.2645750| 64|00:28:26|+0.53|0.65|0.5500| +|-| 5| 7| 16| 704.3220902| 80|00:24:30|-0.03|0.18|0.5835| +|=| 6| 7| 16| 670.2684098| 87|00:25:13|+0.10|0.25|0.5574| +|=| 7| 7| 14| 746.8404031| 94|00:18:36|+0.13|0.25|0.5297| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 746.8404031 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 7 26 0.62938 93 82 42 8 87 NA + +# 2023-09-01 20:35:30 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 7 26 0.62938 93 82 42 8 87 +16 8 110 0.33308 67 14 25 55 2 +9 9 33 0.65064 84 3 32 32 92 +3 6 27 0.26555 45 42 72 55 10 +6 7 39 0.77738 65 35 81 39 61 +# 2023-09-01 20:35:30 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 16| 500.0000320| 17|00:31:00| NA| NA| NA| +|x| 1| 17| 16| 500.0000175| 29|00:22:29|+0.39|0.70|0.5257| +|x| 7| 17| 16| 735.0496107| 41|00:20:37|+0.36|0.57|0.5368| +|x| 6| 17| 16| 676.2872100| 53|00:22:29|+0.45|0.59|0.4370| +|-| 4| 9| 16| 601.0297680| 65|00:22:40|-0.09|0.13|0.7971| +|=| 2| 9| 16| 701.0345228| 69|00:19:50|-0.01|0.15|0.8016| +|=| 3| 9| 16| 643.7438767| 73|00:22:39|-0.01|0.13|0.6784| +|=| 5| 9| 16| 715.8449110| 77|00:19:40|-0.03|0.10|0.7032| +|=| 9| 9| 16| 669.6399209| 86|00:25:29|-0.02|0.09|0.6210| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 669.6399209 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 110 0.33308 67 14 25 55 2 NA + +# 2023-09-02 00:02:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 110 0.33308 67 14 25 55 2 +9 9 33 0.65064 84 3 32 32 92 +6 7 39 0.77738 65 35 81 39 61 +14 7 26 0.62938 93 82 42 8 87 +26 8 55 0.41854 21 35 11 48 2 +# 2023-09-02 00:02:27 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 180 +# remainingBudget: 320 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 32| 1200.534336| 15|00:37:10| NA| NA| NA| +|x| 8| 15| 32| 850.2671680| 25|00:28:04|+0.67|0.83|0.5444| +|x| 9| 15| 32| 666.8447787| 35|00:28:25|+0.20|0.46|0.9508| +|x| 4| 15| 32| 575.1335840| 45|00:28:23|+0.10|0.33|0.8601| +|=| 7| 15| 9| 700.3886382| 55|00:21:55|+0.07|0.26|0.8082| +|=| 5| 15| 9| 784.0418267| 65|00:21:55|+0.05|0.21|0.8481| +|=| 2| 15| 9| 843.6945406| 75|00:21:43|+0.08|0.21|0.8667| +|=| 3| 15| 9| 775.7327230| 85|00:28:25|+0.07|0.18|0.8325| +|=| 1| 15| 9| 745.1028603| 95|00:28:04|+0.07|0.17|0.8324| +|-| 6| 12| 9| 720.5939740| 105|00:28:10|-0.05|0.06|0.9100| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 720.5939740 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 33 0.65064 84 3 32 32 92 NA + +# 2023-09-02 04:34:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 33 0.65064 84 3 32 32 92 +16 8 110 0.33308 67 14 25 55 2 +36 10 80 0.23792 97 20 21 54 69 +6 7 39 0.77738 65 35 81 39 61 +35 8 32 0.82478 73 22 75 43 51 +# 2023-09-02 04:34:47 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 39| 500.0000000| 14|00:44:05| NA| NA| NA| +|x| 2| 14| 16| 850.5292230| 23|00:21:05|-0.16|0.42|1.3203| +|x| 6| 14| 16| 733.6861513| 32|00:28:01|+0.04|0.36|0.9865| +|x| 9| 14| 16| 625.2646135| 41|00:28:20|+0.03|0.27|0.7254| +|=| 10| 14| 9| 740.5811698| 50|00:22:53|+0.01|0.21|0.7963| +|=| 3| 14| 9| 667.1509748| 59|00:28:20|+0.01|0.18|0.6547| +|=| 8| 14| 16| 645.9218577| 68|00:27:57|+0.09|0.22|0.6343| +|=| 1| 14| 16| 627.6816259| 77|00:27:57|+0.09|0.21|0.6203| +|=| 4| 14| 16| 591.2725563| 86|00:28:20|+0.08|0.18|0.5598| +|=| 5| 14| 16| 654.2005158| 95|00:22:23|+0.06|0.16|0.5867| +|-| 7| 11| 9| 700.5408166| 104|00:22:16|-0.03|0.07|0.6884| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 700.5408166 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 33 0.65064 84 3 32 32 92 NA + +# 2023-09-02 09:36:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 33 0.65064 84 3 32 32 92 +16 8 110 0.33308 67 14 25 55 2 +39 10 39 0.65114 73 16 21 21 62 +36 10 80 0.23792 97 20 21 54 69 +6 7 39 0.77738 65 35 81 39 61 +# 2023-09-02 09:36:29 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 9| 300.0000000| 13|00:42:31| NA| NA| NA| +|x| 9| 13| 9| 300.0000000| 21|00:28:21|+0.99|0.99|0.0245| +|x| 3| 13| 9| 300.0000000| 29|00:28:23|+0.98|0.99|0.5775| +|x| 1| 13| 36| 350.0000002| 37|00:28:13|+0.11|0.33|0.8562| +|=| 2| 13| 16| 520.2116600| 45|00:20:02|+0.04|0.23|0.8512| +|=| 6| 13| 16| 516.8430513| 53|00:28:11|+0.10|0.25|0.8389| +|-| 4| 10| 16| 485.8654726| 61|00:28:25|+0.02|0.16|0.3891| +|=| 11| 10| 16| 487.6323071| 66|00:27:41|+0.00|0.13|0.4534| +|=| 5| 10| 16| 569.0678453| 71|00:19:14|-0.05|0.07|0.5228| +|=| 10| 10| 16| 634.2005126| 76|00:19:17|-0.04|0.07|0.5598| +|=| 8| 10| 16| 622.0004689| 81|00:27:37|-0.00|0.09|0.5774| +|=| 7| 10| 16| 670.5961629| 86|00:19:29|+0.00|0.08|0.5936| +|=| 13| 10| 16| 711.3773165| 96|00:23:26|+0.05|0.12|0.5885| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 711.3773165 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 110 0.33308 67 14 25 55 2 NA + +# 2023-09-02 15:17:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 110 0.33308 67 14 25 55 2 +9 9 33 0.65064 84 3 32 32 92 +36 10 80 0.23792 97 20 21 54 69 +48 10 32 0.43823 90 10 33 19 61 +53 9 27 0.87221 84 34 34 37 95 +# 2023-09-02 15:17:24 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 485 +# timeUsed: 0 +# remainingBudget: 15 +# currentBudget: 15 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 548156.3, CPU sys time: 83.651, Wall-clock time: 78041.78 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 110 0.33308 67 14 25 55 2 +9 9 33 0.65064 84 3 32 32 92 +36 10 80 0.23792 97 20 21 54 69 +48 10 32 0.43823 90 10 33 19 61 +53 9 27 0.87221 84 34 34 37 95 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +16 -K8 -k110 -M0.33308 -Q67 -G14 -D25 -O55 -L2 +9 -K9 -k33 -M0.65064 -Q84 -G3 -D32 -O32 -L92 +36 -K10 -k80 -M0.23792 -Q97 -G20 -D21 -O54 -L69 +48 -K10 -k32 -M0.43823 -Q90 -G10 -D33 -O19 -L61 +53 -K9 -k27 -M0.87221 -Q84 -G34 -D34 -O37 -L95 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 15:17:24 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-35.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-35.txt new file mode 100644 index 000000000..68b294501 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-35.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:39:39 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2072438053 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:39:39 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 1202.399563| 16|00:26:16| NA| NA| NA| +|x| 2| 16| 13| 751.1997815| 32|00:29:10|-0.08|0.46|0.8339| +|x| 3| 16| 13| 667.4820873| 48|00:29:04|+0.17|0.45|0.7919| +|x| 4| 16| 13| 575.6115655| 64|00:29:10|+0.21|0.40|0.6781| +|-| 5| 11| 16| 563.6469598| 80|00:29:03|+0.00|0.20|0.5655| +|=| 6| 11| 15| 670.4583990| 91|00:22:13|+0.05|0.21|0.6071| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 670.4583990 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 6 79 0.66515 66 28 9 89 5 NA + +# 2023-09-01 20:24:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 6 79 0.66515 66 28 9 89 5 +16 6 21 0.49981 41 66 4 12 8 +6 7 41 0.55674 93 18 44 44 55 +10 8 50 0.42206 33 24 96 38 36 +5 5 46 0.77357 80 47 66 26 28 +# 2023-09-01 20:24:39 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 16| 500.0009380| 18|00:29:04| NA| NA| NA| +|x| 6| 18| 16| 850.9857725| 31|00:21:56|+0.12|0.56|0.7712| +|x| 4| 18| 16| 667.3238483| 44|00:23:20|+0.12|0.41|1.0017| +|x| 2| 18| 16| 575.4928862| 57|00:23:19|+0.22|0.42|0.8692| +|-| 5| 14| 16| 560.3964836| 70|00:23:20|-0.13|0.10|0.9628| +|=| 1| 14| 18| 667.7213495| 79|00:20:33|-0.10|0.09|0.9985| +|=| 3| 14| 18| 643.7613146| 88|00:23:20|-0.03|0.11|0.9937| +|=| 8| 14| 18| 600.7911502| 102|00:29:10|-0.04|0.09|0.9413| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 600.7911502 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 8 52 0.74438 74 79 48 56 2 6 + +# 2023-09-01 23:38:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 8 52 0.74438 74 79 48 56 2 +16 6 21 0.49981 41 66 4 12 8 +22 8 120 0.79090 75 46 97 30 98 +15 6 79 0.66515 66 28 9 89 5 +6 7 41 0.55674 93 18 44 44 55 +# 2023-09-01 23:38:45 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 38| 1200.957802| 15|00:27:20| NA| NA| NA| +|x| 4| 15| 38| 750.4789010| 25|00:29:09|+0.21|0.61|0.6824| +|x| 5| 15| 37| 667.0075683| 35|00:28:58|+0.07|0.38|0.8932| +|x| 1| 15| 6| 805.7252580| 45|00:24:14|-0.04|0.22|0.9946| +|=| 3| 15| 32| 744.5642722| 55|00:28:59|+0.03|0.22|0.9428| +|=| 2| 15| 32| 670.4702268| 65|00:29:09|+0.05|0.21|0.8635| +|=| 7| 15| 38| 643.2784540| 75|00:28:58|+0.12|0.24|0.8205| +|-| 8| 11| 38| 600.3686472| 85|00:29:10|-0.03|0.10|0.8595| +|=| 6| 11| 37| 669.3106127| 91|00:23:36|-0.01|0.10|0.8932| +|=| 10| 11| 32| 722.5715779| 102|00:25:31|-0.02|0.08|0.9167| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 722.5715779 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 33 0.54084 83 58 11 30 48 16 + +# 2023-09-02 04:13:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 33 0.54084 83 58 11 30 48 +37 7 68 0.79936 92 44 44 81 11 +18 8 52 0.74438 74 79 48 56 2 +15 6 79 0.66515 66 28 9 89 5 +16 6 21 0.49981 41 66 4 12 8 +# 2023-09-02 04:13:55 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 295 +# remainingBudget: 205 +# currentBudget: 102 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 13| 40| 500.0000000| 13|00:36:45| NA| NA| NA| +|x| 10| 13| 40| 850.8052790| 21|00:21:53|+0.12|0.56|0.9837| +|x| 7| 13| 47| 733.7735880| 29|00:28:43|+0.06|0.37|0.8720| +|x| 8| 13| 47| 625.3301910| 37|00:29:10|+0.04|0.28|0.6668| +|=| 2| 13| 47| 560.2641528| 45|00:29:09|+0.03|0.22|0.5385| +|=| 6| 13| 40| 667.1749028| 53|00:21:19|+0.09|0.24|0.6031| +|=| 4| 13| 40| 614.7213453| 61|00:29:10|+0.07|0.21|0.5187| +|=| 1| 13| 46| 690.2155946| 69|00:23:01|+0.07|0.19|0.5796| +|-| 3| 9| 32| 667.2416088| 77|00:28:49|+0.00|0.11|0.6125| +|=| 9| 9| 32| 722.5709202| 81|00:20:06|-0.03|0.07|0.6578| +|=| 5| 9| 46| 703.9910911| 85|00:28:48|-0.02|0.07|0.6763| +|=| 12| 9| 46| 670.3251668| 94|00:29:10|-0.01|0.07|0.6973| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 670.3251668 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 10 38 0.70158 87 44 19 31 41 32 + +# 2023-09-02 09:40:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 10 38 0.70158 87 44 19 31 41 +37 7 68 0.79936 92 44 44 81 11 +41 8 18 0.93228 81 95 71 58 10 +32 9 33 0.54084 83 58 11 30 48 +47 9 52 0.36383 88 75 10 25 74 +# 2023-09-02 09:40:02 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 46| 300.0000000| 13|00:46:39| NA| NA| NA| +|x| 8| 13| 46| 300.0000000| 21|00:29:09|+0.00|0.50|0.4615| +|x| 10| 13| 51| 600.0570287| 29|00:23:47|-0.18|0.21|0.7279| +|x| 5| 13| 55| 575.1677832| 37|00:28:54|-0.02|0.24|0.7415| +|=| 6| 13| 55| 700.1913802| 45|00:22:46|+0.12|0.29|0.7326| +|=| 1| 13| 51| 783.5169877| 53|00:23:15|+0.10|0.25|0.8130| +|=| 2| 13| 51| 714.4431323| 61|00:29:09|+0.08|0.21|0.6906| +|-| 7| 8| 51| 687.6377408| 69|00:28:55|+0.11|0.22|0.6765| +|=| 4| 8| 51| 644.5668807| 72|00:29:10|+0.09|0.20|0.5991| +|=| 9| 8| 51| 700.3144084| 75|00:19:40|+0.07|0.17|0.6148| +|=| 3| 8| 51| 682.1078574| 78|00:28:46|-0.01|0.08|0.6624| +|=| 12| 8| 51| 650.2655359| 81|00:29:09|+0.01|0.09|0.6570| +|=| 11| 8| 46| 641.8386155| 84|00:28:55|+0.01|0.08|0.6857| +|=| 14| 8| 46| 681.7481491| 92|00:24:02|+0.02|0.09|0.7098| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 681.7481491 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 10 38 0.70158 87 44 19 31 41 32 + +# 2023-09-02 16:12:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 10 38 0.70158 87 44 19 31 41 +51 9 35 0.61580 80 34 10 14 30 +52 9 64 0.94800 74 38 39 20 7 +55 10 40 0.71026 89 63 36 27 52 +37 7 68 0.79936 92 44 44 81 11 +# 2023-09-02 16:12:28 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 481 +# timeUsed: 0 +# remainingBudget: 19 +# currentBudget: 19 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 538402.3, CPU sys time: 48.998, Wall-clock time: 81168.61 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 10 38 0.70158 87 44 19 31 41 +51 9 35 0.61580 80 34 10 14 30 +52 9 64 0.94800 74 38 39 20 7 +55 10 40 0.71026 89 63 36 27 52 +37 7 68 0.79936 92 44 44 81 11 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +46 -K10 -k38 -M0.70158 -Q87 -G44 -D19 -O31 -L41 +51 -K9 -k35 -M0.6158 -Q80 -G34 -D10 -O14 -L30 +52 -K9 -k64 -M0.948 -Q74 -G38 -D39 -O20 -L7 +55 -K10 -k40 -M0.71026 -Q89 -G63 -D36 -O27 -L52 +37 -K7 -k68 -M0.79936 -Q92 -G44 -D44 -O81 -L11 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 16:12:28 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-36.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-36.txt new file mode 100644 index 000000000..1a55029da --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-36.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:39:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1461940063 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:39:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 500.0005850| 16|00:44:24| NA| NA| NA| +|x| 2| 16| 14| 400.0002925| 32|00:45:00|+0.21|0.60|0.5813| +|x| 3| 16| 14| 668.3143420| 48|00:37:53|+0.20|0.47|0.7424| +|x| 4| 16| 14| 576.2357565| 64|00:45:01|+0.30|0.48|0.5825| +|-| 5| 11| 14| 701.4554070| 80|00:37:21|+0.00|0.20|0.5521| +|=| 6| 11| 14| 667.8877192| 91|00:29:59|+0.00|0.17|0.6084| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 667.8877192 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 7 63 0.29589 69 1 91 81 99 NA + +# 2023-09-01 21:38:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 7 63 0.29589 69 1 91 81 99 +4 5 67 0.67350 93 45 55 29 63 +1 9 28 0.82149 57 50 91 38 32 +2 9 107 0.78249 64 25 30 6 89 +6 5 104 0.76103 45 31 75 11 9 +# 2023-09-01 21:38:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 14| 300.0000000| 18|00:45:01| NA| NA| NA| +|x| 2| 18| 14| 300.0000000| 31|00:33:01|+0.83|0.91|0.0000| +|x| 6| 18| 23| 366.6667000| 44|00:32:33|+0.37|0.58|0.6359| +|x| 3| 18| 1| 575.2144595| 57|00:26:24|+0.36|0.52|0.6442| +|-| 1| 9| 23| 560.2204030| 70|00:32:31|+0.06|0.25|0.5224| +|=| 4| 9| 23| 516.8503358| 74|00:26:59|+0.05|0.21|0.4372| +|=| 5| 9| 23| 617.6298584| 78|00:19:07|-0.08|0.08|0.5436| +|=| 8| 9| 23| 602.9261261| 87|00:27:04|-0.03|0.10|0.5834| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 602.9261261 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 98 0.46932 55 33 52 9 49 2 + +# 2023-09-02 01:41:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 98 0.46932 55 33 52 9 49 +2 9 107 0.78249 64 25 30 6 89 +1 9 28 0.82149 57 50 91 38 32 +4 5 67 0.67350 93 45 55 29 63 +14 7 63 0.29589 69 1 91 81 99 +# 2023-09-02 01:41:38 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 178 +# remainingBudget: 322 +# currentBudget: 107 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 2| 1201.752761| 16|00:42:57| NA| NA| NA| +|x| 6| 16| 23| 852.8199870| 27|00:29:56|+0.23|0.61|0.9360| +|x| 4| 16| 23| 668.5466580| 38|00:30:00|+0.11|0.41|0.6245| +|x| 3| 16| 23| 801.6854722| 49|00:26:27|+0.24|0.43|0.6132| +|-| 1| 8| 23| 741.3483778| 60|00:29:57|-0.03|0.18|0.7173| +|=| 5| 8| 23| 821.5081472| 63|00:23:05|-0.07|0.11|0.7564| +|=| 7| 8| 23| 747.0069833| 66|00:30:00|-0.06|0.09|0.6445| +|=| 8| 8| 23| 716.1311104| 69|00:29:43|-0.00|0.12|0.7005| +|=| 2| 8| 23| 669.8943203| 72|00:30:00|-0.00|0.11|0.6178| +|=| 10| 8| 23| 632.9048883| 80|00:29:59|-0.00|0.10|0.5525| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 632.9048883 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 98 0.46932 55 33 52 9 49 2 + +# 2023-09-02 06:43:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 98 0.46932 55 33 52 9 49 +30 10 48 0.48864 78 77 61 24 34 +2 9 107 0.78249 64 25 30 6 89 +35 7 88 0.17496 87 35 68 8 59 +4 5 67 0.67350 93 45 55 29 63 +# 2023-09-02 06:43:46 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 258 +# remainingBudget: 242 +# currentBudget: 121 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 48| 1200.398597| 15|00:37:27| NA| NA| NA| +|x| 10| 15| 48| 750.1992985| 25|00:30:03|+0.00|0.50|0.4667| +|x| 5| 15| 30| 900.5171183| 35|00:24:21|-0.01|0.33|0.6692| +|x| 1| 15| 49| 800.6236082| 45|00:29:55|-0.05|0.21|0.7455| +|=| 7| 15| 49| 700.4988866| 55|00:30:04|-0.04|0.17|0.5873| +|=| 6| 15| 30| 666.9289478| 65|00:29:59|+0.03|0.20|0.6149| +|=| 9| 15| 30| 746.0254206| 75|00:23:42|+0.04|0.18|0.6745| +|-| 3| 12| 30| 802.8389900| 85|00:23:18|-0.05|0.08|0.6991| +|=| 8| 12| 23| 770.1098392| 92|00:29:58|-0.03|0.08|0.7372| +|=| 2| 12| 23| 723.0988553| 99|00:30:01|-0.03|0.08|0.6610| +|=| 4| 12| 23| 684.6353230| 106|00:30:04|-0.02|0.07|0.5992| +|=| 12| 12| 23| 669.2491942| 118|00:30:01|+0.00|0.09|0.6108| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 669.2491942 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 98 0.46932 55 33 52 9 49 2 + +# 2023-09-02 12:32:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 98 0.46932 55 33 52 9 49 +30 10 48 0.48864 78 77 61 24 34 +2 9 107 0.78249 64 25 30 6 89 +48 10 122 0.66903 45 6 29 14 24 +4 5 67 0.67350 93 45 55 29 63 +# 2023-09-02 12:32:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 23| 300.0000000| 14|00:48:03| NA| NA| NA| +|x| 3| 14| 30| 750.2669880| 23|00:25:38|+0.00|0.50|0.4643| +|x| 1| 14| 51| 666.8997880| 32|00:29:48|+0.05|0.37|0.6717| +|x| 6| 14| 23| 625.2755037| 41|00:29:49|+0.13|0.34|0.6789| +|=| 8| 14| 23| 600.2204030| 50|00:29:49|+0.06|0.25|0.7590| +|=| 5| 14| 23| 703.9015015| 59|00:25:19|-0.00|0.17|0.8273| +|=| 11| 14| 23| 775.0498113| 68|00:26:16|-0.02|0.12|0.8428| +|=| 4| 14| 23| 715.6685849| 77|00:30:00|-0.02|0.11|0.7316| +|=| 12| 14| 23| 691.7056062| 86|00:29:53|+0.03|0.13|0.7280| +|=| 9| 14| 23| 743.0990330| 95|00:25:49|+0.00|0.10|0.7505| +|=| 7| 14| 23| 702.8173027| 104|00:29:59|+0.00|0.09|0.6816| +|=| 10| 14| 23| 669.2491942| 113|00:30:00|+0.00|0.09|0.6243| +|=| 2| 14| 23| 640.8454100| 122|00:30:00|+0.00|0.08|0.5759| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 640.8454100 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 98 0.46932 55 33 52 9 49 2 + +# 2023-09-02 19:03:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 98 0.46932 55 33 52 9 49 +30 10 48 0.48864 78 77 61 24 34 +56 9 42 0.59026 94 73 81 24 10 +52 7 60 0.57356 89 82 56 14 43 +2 9 107 0.78249 64 25 30 6 89 +# 2023-09-02 19:03:15 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 644760.1, CPU sys time: 90.717, Wall-clock time: 91443.14 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 98 0.46932 55 33 52 9 49 +30 10 48 0.48864 78 77 61 24 34 +56 9 42 0.59026 94 73 81 24 10 +52 7 60 0.57356 89 82 56 14 43 +2 9 107 0.78249 64 25 30 6 89 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +23 -K9 -k98 -M0.46932 -Q55 -G33 -D52 -O9 -L49 +30 -K10 -k48 -M0.48864 -Q78 -G77 -D61 -O24 -L34 +56 -K9 -k42 -M0.59026 -Q94 -G73 -D81 -O24 -L10 +52 -K7 -k60 -M0.57356 -Q89 -G82 -D56 -O14 -L43 +2 -K9 -k107 -M0.78249 -Q64 -G25 -D30 -O6 -L89 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 19:03:15 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-37.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-37.txt new file mode 100644 index 000000000..febd0dfff --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-37.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:36:26 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 143986267 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:36:26 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1201.705556| 16|00:30:40| NA| NA| NA| +|x| 2| 16| 14| 750.8527780| 32|00:36:59|+0.13|0.57|0.8186| +|x| 3| 16| 2| 667.2692457| 48|00:36:18|+0.24|0.50|0.7497| +|x| 4| 16| 2| 575.4519343| 64|00:37:00|+0.28|0.46|0.6363| +|-| 5| 10| 2| 560.3653058| 80|00:36:21|-0.10|0.12|0.6369| +|=| 6| 10| 2| 667.4157585| 90|00:25:26|+0.01|0.18|0.6677| +|=| 7| 10| 14| 743.3948806| 100|00:25:38|+0.01|0.15|0.7088| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 743.3948806 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 93 0.68687 35 36 75 17 65 NA + +# 2023-09-01 21:24:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 93 0.68687 35 36 75 17 65 +2 8 10 0.52313 96 70 39 30 31 +7 8 70 0.29336 59 16 42 37 12 +5 9 7 0.60742 100 76 100 30 62 +4 6 72 0.76307 78 82 56 46 16 +# 2023-09-01 21:24:51 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 14| 500.0019810| 16|00:45:25| NA| NA| NA| +|x| 1| 16| 14| 850.8537685| 27|00:25:16|+0.44|0.72|0.7148| +|x| 4| 16| 14| 667.2358457| 38|00:27:45|+0.22|0.48|0.5508| +|x| 6| 16| 14| 800.5259468| 49|00:25:36|+0.34|0.51|0.5644| +|-| 7| 8| 14| 880.7282304| 60|00:25:03|+0.04|0.23|0.7468| +|=| 5| 8| 14| 817.2786143| 63|00:23:57|+0.01|0.18|0.8131| +|=| 3| 8| 14| 771.9665921| 66|00:24:13|-0.05|0.10|0.8293| +|=| 2| 8| 14| 712.9707681| 69|00:24:39|-0.04|0.09|0.7157| +|=| 9| 8| 14| 667.0851272| 77|00:30:49|-0.03|0.08|0.6296| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 667.0851272 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 93 0.68687 35 36 75 17 65 NA + +# 2023-09-02 01:37:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 93 0.68687 35 36 75 17 65 +27 8 45 0.78187 90 41 45 79 63 +7 8 70 0.29336 59 16 42 37 12 +23 6 48 0.29451 95 81 39 63 95 +2 8 10 0.52313 96 70 39 30 31 +# 2023-09-02 01:37:39 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 177 +# remainingBudget: 323 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 23| 500.0004700| 15|00:45:05| NA| NA| NA| +|x| 4| 15| 23| 400.0002350| 25|00:30:49|+0.00|0.50|0.4667| +|x| 1| 15| 23| 667.5109753| 35|00:24:29|+0.09|0.39|0.5521| +|x| 3| 15| 32| 625.3237413| 45|00:30:33|+0.12|0.34|0.6968| +|=| 6| 15| 32| 744.1789242| 55|00:24:48|+0.00|0.20|0.8006| +|=| 8| 15| 36| 705.6296732| 65|00:30:36|+0.07|0.23|0.7891| +|-| 5| 10| 36| 676.2540057| 75|00:30:28|-0.08|0.07|0.8655| +|=| 7| 10| 36| 744.4467496| 80|00:23:06|-0.07|0.06|0.8752| +|=| 9| 10| 36| 695.0637774| 85|00:30:50|-0.06|0.05|0.7682| +|=| 2| 10| 36| 655.5573997| 90|00:30:50|-0.06|0.05|0.6846| +|=| 11| 10| 31| 702.3798916| 100|00:26:33|-0.05|0.05|0.6998| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 702.3798916 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 7 106 0.67993 57 18 73 40 43 14 + +# 2023-09-02 07:05:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 7 106 0.67993 57 18 73 40 43 +23 6 48 0.29451 95 81 39 63 95 +32 5 63 0.23909 63 26 7 15 7 +36 10 49 0.54752 57 16 72 71 83 +7 8 70 0.29336 59 16 42 37 12 +# 2023-09-02 07:05:52 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 31| 300.0000000| 13|00:30:49| NA| NA| NA| +|x| 8| 13| 36| 400.0001595| 21|00:27:23|+0.50|0.75|0.5892| +|x| 9| 13| 36| 366.6667730| 29|00:27:44|+0.25|0.50|0.5041| +|x| 1| 13| 31| 575.2853822| 37|00:23:06|+0.20|0.40|0.5510| +|=| 6| 13| 31| 704.4044530| 45|00:22:41|-0.02|0.18|0.7363| +|=| 7| 13| 31| 787.6199683| 53|00:22:25|+0.03|0.19|0.7589| +|=| 4| 13| 31| 717.9599729| 61|00:27:44|+0.03|0.17|0.6519| +|=| 5| 13| 31| 690.7149903| 69|00:27:25|+0.08|0.20|0.6469| +|=| 10| 13| 23| 669.5333179| 77|00:27:23|+0.07|0.18|0.6573| +|-| 11| 9| 31| 722.6130824| 85|00:23:30|-0.02|0.09|0.6472| +|=| 2| 9| 31| 684.1937113| 89|00:27:44|-0.01|0.08|0.5861| +|=| 3| 9| 32| 669.1440409| 93|00:27:23|+0.03|0.11|0.5954| +|=| 13| 9| 31| 655.8599124| 102|00:30:29|+0.06|0.13|0.5919| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 655.8599124 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 7 106 0.67993 57 18 73 40 43 14 + +# 2023-09-02 12:51:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +36 10 49 0.54752 57 16 72 71 83 +23 6 48 0.29451 95 81 39 63 95 +41 9 104 0.90281 57 34 72 60 28 +# 2023-09-02 12:51:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 31| 300.0000000| 13|00:30:49| NA| NA| NA| +|x| 6| 13| 36| 756.4242930| 21|00:19:14|-0.06|0.47|0.8977| +|x| 9| 13| 36| 604.2828620| 29|00:24:39|+0.10|0.40|0.5984| +|x| 8| 13| 36| 578.2122262| 37|00:24:25|-0.05|0.21|0.7956| +|=| 2| 13| 36| 522.5697810| 45|00:24:39|-0.00|0.20|0.6789| +|=| 12| 13| 36| 485.4748175| 53|00:24:39|+0.05|0.21|0.5870| +|=| 5| 13| 36| 487.5498437| 61|00:24:25|+0.01|0.15|0.7273| +|=| 1| 13| 36| 579.2215476| 69|00:19:20|+0.02|0.14|0.8031| +|=| 10| 13| 36| 570.4192272| 77|00:24:25|+0.05|0.16|0.8141| +|-| 13| 8| 36| 563.3773045| 85|00:24:26|-0.06|0.05|0.8668| +|=| 7| 8| 36| 623.2335456| 88|00:16:38|-0.07|0.02|0.8582| +|=| 11| 8| 31| 668.8442398| 91|00:16:53|-0.06|0.03|0.8815| +|=| 3| 8| 31| 655.8599124| 94|00:21:33|-0.06|0.02|0.9007| +|=| 4| 8| 31| 630.4413472| 97|00:21:35|-0.06|0.02|0.8731| +|=| 15| 8| 36| 671.7750182| 105|00:23:57|-0.05|0.02|0.8846| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 671.7750182 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 10 49 0.54752 57 16 72 71 83 14 + +# 2023-09-02 18:33:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 49 0.54752 57 16 72 71 83 +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +51 7 49 0.59270 62 29 2 36 10 +50 7 68 0.44031 55 35 24 43 12 +# 2023-09-02 18:33:31 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 484 +# timeUsed: 0 +# remainingBudget: 16 +# currentBudget: 16 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 530691.2, CPU sys time: 57.285, Wall-clock time: 89824.96 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 49 0.54752 57 16 72 71 83 +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +51 7 49 0.59270 62 29 2 36 10 +50 7 68 0.44031 55 35 24 43 12 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +36 -K10 -k49 -M0.54752 -Q57 -G16 -D72 -O71 -L83 +31 -K7 -k106 -M0.67993 -Q57 -G18 -D73 -O40 -L43 +32 -K5 -k63 -M0.23909 -Q63 -G26 -D7 -O15 -L7 +51 -K7 -k49 -M0.5927 -Q62 -G29 -D2 -O36 -L10 +50 -K7 -k68 -M0.44031 -Q55 -G35 -D24 -O43 -L12 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 18:33:31 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-38.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-38.txt new file mode 100644 index 000000000..3061d74dd --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-38.txt @@ -0,0 +1,301 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:39:02 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 193705212 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:39:02 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 10| 500.0242840| 16|00:31:36| NA| NA| NA| +|x| 2| 16| 10| 400.0121420| 32|00:31:40|+0.62|0.81|0.4053| +|x| 3| 16| 16| 669.1058633| 48|00:29:09|+0.56|0.71|0.6300| +|x| 4| 16| 16| 626.8319027| 64|00:31:33|+0.44|0.58|0.6362| +|-| 5| 8| 16| 561.4655222| 80|00:31:40|+0.11|0.29|0.4513| +|=| 6| 8| 16| 671.2998433| 88|00:22:11|+0.07|0.23|0.5655| +|=| 7| 8| 16| 618.2570086| 96|00:25:19|+0.06|0.20|0.4873| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 618.2570086 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 37 0.7531 7 7 13 21 6 NA + +# 2023-09-01 21:02:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 37 0.75310 7 7 13 21 6 +4 5 29 0.61358 68 61 13 32 38 +10 4 58 0.56903 71 87 42 28 70 +14 8 104 0.46180 56 68 86 61 89 +7 4 20 0.25025 96 40 19 34 51 +# 2023-09-01 21:02:14 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 25| 500.0000860| 17|00:34:34| NA| NA| NA| +|x| 1| 17| 25| 500.0000430| 29|00:28:14|+0.88|0.94|0.3917| +|x| 4| 17| 25| 500.0000733| 41|00:28:20|+0.63|0.75|0.3240| +|x| 2| 17| 25| 450.0000550| 53|00:28:30|+0.56|0.67|0.2726| +|-| 3| 13| 19| 604.1189630| 65|00:25:05|+0.06|0.25|0.7627| +|=| 6| 13| 25| 706.2490552| 73|00:23:42|+0.03|0.19|0.8164| +|=| 7| 13| 25| 648.2134759| 81|00:28:29|+0.02|0.16|0.6931| +|=| 5| 13| 25| 604.6867914| 89|00:28:29|+0.02|0.14|0.6022| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 604.6867914 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 9 30 0.67465 68 18 6 37 43 4 + +# 2023-09-02 00:47:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 9 30 0.67465 68 18 6 37 43 +19 6 48 0.75990 24 17 25 7 8 +24 7 72 0.90833 41 62 90 94 13 +16 8 37 0.75310 7 7 13 21 6 +23 9 47 0.58246 13 56 8 27 27 +# 2023-09-02 00:47:42 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 36| 1200.622317| 16|00:38:36| NA| NA| NA| +|x| 1| 16| 25| 850.5614350| 27|00:31:36|+0.09|0.54|0.8442| +|x| 6| 16| 25| 972.5721677| 38|00:27:45|+0.25|0.50|0.7814| +|x| 2| 16| 25| 804.4291257| 49|00:31:40|+0.25|0.44|0.6689| +|-| 3| 10| 36| 880.6081428| 60|00:27:20|-0.02|0.18|0.7915| +|=| 8| 10| 36| 817.1734605| 65|00:31:21|+0.08|0.24|0.7840| +|=| 7| 10| 36| 743.2915376| 70|00:31:39|+0.07|0.20|0.6672| +|=| 5| 10| 36| 687.8800954| 75|00:31:39|+0.06|0.18|0.5807| +|=| 4| 10| 36| 667.0045292| 80|00:31:24|+0.11|0.21|0.5945| +|=| 10| 10| 36| 630.3040763| 90|00:31:39|+0.10|0.19|0.5356| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 630.3040763 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 8 53 0.72561 80 22 9 12 29 25 + +# 2023-09-02 06:02:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 8 53 0.72561 80 22 9 12 29 +25 9 30 0.67465 68 18 6 37 43 +34 10 41 0.75886 39 57 8 50 23 +38 9 14 0.61825 55 4 18 33 17 +19 6 48 0.75990 24 17 25 7 8 +# 2023-09-02 06:02:27 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 36| 500.0000000| 14|00:49:29| NA| NA| NA| +|x| 3| 14| 36| 850.2923825| 23|00:25:01|+0.54|0.77|0.7521| +|x| 4| 14| 36| 733.5282550| 32|00:28:30|+0.36|0.57|0.8009| +|x| 2| 14| 36| 625.1461913| 41|00:28:30|+0.27|0.45|0.7490| +|-| 7| 8| 36| 560.1169530| 50|00:28:29|+0.05|0.24|0.5617| +|=| 9| 8| 36| 666.8678470| 53|00:20:42|+0.06|0.21|0.6266| +|=| 8| 8| 36| 643.0295901| 56|00:28:14|+0.09|0.22|0.6325| +|=| 5| 8| 36| 600.1508914| 59|00:28:30|+0.08|0.19|0.5525| +|=| 10| 8| 36| 566.8007923| 62|00:28:29|+0.07|0.17|0.4905| +|-| 6| 7| 36| 630.3011610| 65|00:20:18|+0.12|0.21|0.4871| +|=| 1| 7| 36| 618.4582512| 67|00:26:29|+0.10|0.18|0.5206| +|-| 12| 4| 36| 668.6159120| 74|00:26:27|-0.02|0.07|0.4591| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 668.6159120 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 8 53 0.72561 80 22 9 12 29 25 + +# 2023-09-02 11:41:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 8 53 0.72561 80 22 9 12 29 +45 8 35 0.43688 62 12 41 36 5 +25 9 30 0.67465 68 18 6 37 43 +42 9 48 0.82603 52 6 45 15 30 +# 2023-09-02 11:41:41 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 349 +# remainingBudget: 151 +# currentBudget: 151 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 15| 36| 1200.698967| 15|00:41:13| NA| NA| NA| +|x| 3| 15| 36| 1200.641866| 26|00:28:30|+0.59|0.80|0.6210| +|x| 11| 15| 36| 967.0945773| 37|00:31:35|+0.60|0.73|0.5827| +|x| 2| 15| 36| 800.3209330| 48|00:31:41|+0.40|0.55|0.5247| +|-| 7| 9| 36| 700.2567464| 59|00:31:42|+0.03|0.22|0.5341| +|=| 5| 9| 36| 633.5472887| 64|00:31:39|+0.02|0.18|0.4450| +|=| 8| 9| 59| 614.5529327| 69|00:31:32|-0.02|0.13|0.5096| +|=| 6| 9| 59| 687.8681506| 74|00:24:25|-0.04|0.09|0.5385| +|=| 9| 9| 59| 744.8769976| 79|00:23:46|+0.01|0.12|0.5622| +|=| 12| 9| 59| 792.3975188| 84|00:23:21|+0.07|0.17|0.5586| +|=| 1| 9| 53| 765.7525292| 89|00:31:29|+0.02|0.11|0.6150| +|=| 4| 9| 53| 743.6064872| 94|00:31:30|-0.00|0.08|0.6506| +|=| 10| 9| 53| 709.4829112| 99|00:31:40|-0.00|0.08|0.6018| +|=| 14| 9| 53| 680.2341319| 108|00:31:43|-0.00|0.07|0.5598| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 680.2341319 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 7 46 0.91727 58 6 6 26 9 36 + +# 2023-09-02 18:47:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 7 46 0.91727 58 6 6 26 9 +59 9 65 0.76210 77 14 9 10 22 +36 8 53 0.72561 80 22 9 12 29 +25 9 30 0.67465 68 18 6 37 43 +56 7 83 0.89479 71 19 29 11 16 +# 2023-09-02 18:47:35 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 457 +# remainingBudget: 43 +# currentBudget: 43 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 7| 53| 500.0000000| 7|00:28:25| NA| NA| NA| +|x| 7| 7| 53| 400.0000000| 9|00:22:09|+0.00|0.50|0.4286| +|x| 1| 7| 53| 433.3333770| 11|00:20:27|+0.08|0.39|0.4168| +|x| 6| 7| 53| 625.0929675| 13|00:13:53|+0.17|0.38|0.5037| +|=| 13| 7| 53| 740.2689772| 15|00:13:55|+0.25|0.40|0.4230| +|=| 5| 7| 53| 666.8908143| 17|00:22:09|+0.20|0.33|0.3963| +|=| 12| 7| 53| 745.9141914| 19|00:14:03|+0.08|0.21|0.5389| +|=| 14| 7| 53| 690.1749175| 21|00:22:09|+0.07|0.18|0.4807| +|=| 4| 7| 53| 669.0443739| 23|00:20:24|+0.07|0.17|0.5388| +|=| 10| 7| 53| 632.1399365| 25|00:22:10|+0.06|0.15|0.4882| +|=| 8| 7| 53| 620.1272150| 27|00:21:13|+0.10|0.18|0.5241| +|-| 3| 6| 53| 668.5084865| 29|00:14:09|+0.05|0.13|0.5465| +|=| 2| 6| 53| 640.1616798| 30|00:18:59|+0.05|0.12|0.5052| +|=| 11| 6| 53| 630.1501342| 31|00:18:05|+0.04|0.11|0.5158| +|=| 9| 6| 59| 668.2664965| 32|00:13:14|+0.07|0.13|0.5183| +|=| 16| 6| 36| 701.5499558| 38|00:19:05|+0.08|0.13|0.5346| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 701.5499558 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 8 53 0.72561 80 22 9 12 29 25 + +# 2023-09-02 23:52:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 8 53 0.72561 80 22 9 12 29 +59 9 65 0.76210 77 14 9 10 22 +53 7 46 0.91727 58 6 6 26 9 +25 9 30 0.67465 68 18 6 37 43 +56 7 83 0.89479 71 19 29 11 16 +# 2023-09-02 23:52:13 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 605540.2, CPU sys time: 63.252, Wall-clock time: 108790.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 8 53 0.72561 80 22 9 12 29 +59 9 65 0.76210 77 14 9 10 22 +53 7 46 0.91727 58 6 6 26 9 +25 9 30 0.67465 68 18 6 37 43 +56 7 83 0.89479 71 19 29 11 16 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +36 -K8 -k53 -M0.72561 -Q80 -G22 -D9 -O12 -L29 +59 -K9 -k65 -M0.7621 -Q77 -G14 -D9 -O10 -L22 +53 -K7 -k46 -M0.91727 -Q58 -G6 -D6 -O26 -L9 +25 -K9 -k30 -M0.67465 -Q68 -G18 -D6 -O37 -L43 +56 -K7 -k83 -M0.89479 -Q71 -G19 -D29 -O11 -L16 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 23:52:13 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-39.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-39.txt new file mode 100644 index 000000000..5c3f7cf5a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-39.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 18:33:32 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 250729386 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 18:33:32 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 500.0000000| 16|00:35:41| NA| NA| NA| +|x| 2| 16| 15| 400.0000000| 32|00:35:50|+0.02|0.51|1.0220| +|x| 3| 16| 15| 667.2662470| 48|00:32:13|+0.20|0.47|0.7842| +|x| 4| 16| 15| 625.4496858| 64|00:35:46|+0.30|0.48|0.6905| +|-| 5| 8| 15| 560.3597486| 80|00:35:46|+0.19|0.35|0.4380| +|=| 6| 8| 15| 667.2969065| 88|00:23:37|+0.18|0.32|0.5407| +|=| 7| 8| 15| 746.2720254| 96|00:24:27|+0.10|0.23|0.6590| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 746.2720254 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-02 22:16:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +1 8 18 0.57502 71 41 60 61 44 +5 9 117 0.27046 97 37 98 97 96 +12 5 5 0.15346 63 90 42 2 42 +9 10 28 0.21257 37 22 38 27 53 +# 2023-09-02 22:16:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 15| 500.0000000| 17|00:44:53| NA| NA| NA| +|x| 1| 17| 15| 500.0000000| 29|00:32:20|+0.48|0.74|0.5343| +|x| 5| 17| 15| 433.3333333| 41|00:32:30|+0.34|0.56|0.6140| +|x| 6| 17| 15| 625.4956740| 53|00:28:15|+0.39|0.54|0.6003| +|-| 2| 9| 15| 560.3965392| 65|00:32:30|+0.09|0.27|0.5388| +|=| 3| 9| 15| 667.2969062| 69|00:22:27|+0.07|0.22|0.6260| +|=| 7| 9| 15| 746.2720251| 73|00:21:43|+0.00|0.14|0.7172| +|=| 4| 9| 15| 715.4880222| 77|00:29:07|+0.06|0.18|0.7188| +|=| 9| 9| 15| 669.3226864| 86|00:32:29|+0.06|0.16|0.6331| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 669.3226864 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-03 02:53:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +24 9 26 0.63686 96 66 51 64 33 +5 9 117 0.27046 97 37 98 97 96 +27 9 113 0.39013 87 24 63 30 86 +1 8 18 0.57502 71 41 60 61 44 +# 2023-09-03 02:53:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 182 +# remainingBudget: 318 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 15| 300.0000000| 15|00:52:02| NA| NA| NA| +|x| 9| 15| 15| 300.0000000| 25|00:32:34|+1.00|1.00|0.0000| +|x| 3| 15| 31| 600.1349380| 35|00:28:53|+0.00|0.33|0.3111| +|x| 5| 15| 31| 525.1012035| 45|00:32:34|+0.00|0.25|0.2333| +|=| 8| 15| 31| 520.0809628| 55|00:32:30|+0.15|0.32|0.3113| +|=| 2| 15| 31| 483.4008023| 65|00:32:33|+0.12|0.27|0.2698| +|-| 1| 9| 31| 485.7721163| 75|00:32:32|+0.13|0.26|0.3776| +|-| 4| 6| 31| 487.5506017| 79|00:32:26|+0.20|0.30|0.3951| +|=| 7| 6| 31| 568.9873772| 80|00:21:09|+0.13|0.22|0.4690| +|=| 6| 6| 15| 632.3904178| 81|00:21:05|+0.04|0.14|0.5180| +|=| 11| 6| 15| 685.9044745| 87|00:23:34|+0.01|0.10|0.5571| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 685.9044745 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-03 08:35:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +31 10 90 0.99980 94 36 98 17 45 +1 8 18 0.57502 71 41 60 61 44 +24 9 26 0.63686 96 66 51 64 33 +27 9 113 0.39013 87 24 63 30 86 +# 2023-09-03 08:35:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 269 +# remainingBudget: 231 +# currentBudget: 115 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 46| 500.0000000| 14|00:41:35| NA| NA| NA| +|x| 11| 14| 46| 850.7600060| 23|00:25:24|+0.38|0.69|0.5209| +|x| 2| 14| 46| 667.1733373| 32|00:29:16|+0.19|0.46|0.4832| +|x| 8| 14| 1| 626.3789440| 41|00:29:16|-0.03|0.23|0.6745| +|=| 6| 14| 45| 740.3393916| 50|00:25:58|+0.04|0.23|0.6959| +|=| 3| 14| 45| 817.1297900| 59|00:26:00|+0.09|0.24|0.7075| +|=| 7| 14| 45| 874.7850633| 68|00:25:57|+0.08|0.21|0.7593| +|=| 5| 14| 45| 802.9369304| 77|00:29:16|+0.07|0.18|0.6690| +|=| 10| 14| 45| 747.0550492| 86|00:29:15|+0.06|0.16|0.5977| +|=| 1| 14| 45| 722.3495443| 95|00:29:15|+0.05|0.14|0.6526| +|=| 4| 14| 45| 702.1363176| 104|00:29:17|+0.05|0.14|0.6578| +|=| 9| 14| 45| 668.6249578| 113|00:29:17|+0.05|0.13|0.6044| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 668.6249578 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 9 89 0.69713 91 78 42 24 74 15 + +# 2023-09-03 14:25:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 9 89 0.69713 91 78 42 24 74 +46 7 101 0.79206 90 21 38 10 51 +31 10 90 0.99980 94 36 98 17 45 +15 8 114 0.70016 99 66 80 13 67 +44 9 65 0.90099 75 32 89 24 53 +# 2023-09-03 14:25:01 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 382 +# remainingBudget: 118 +# currentBudget: 118 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 44| 500.0000000| 13|00:41:19| NA| NA| NA| +|x| 6| 13| 49| 850.2201485| 21|00:24:46|-0.12|0.44|1.0007| +|x| 8| 13| 49| 733.4864183| 29|00:32:24|-0.17|0.22|1.0479| +|x| 10| 13| 49| 625.1148138| 37|00:32:31|-0.11|0.17|0.7547| +|=| 7| 13| 49| 740.2738368| 45|00:24:47|-0.14|0.09|0.8273| +|=| 3| 13| 49| 816.9897478| 53|00:25:07|-0.04|0.13|0.8232| +|=| 11| 13| 49| 871.7879350| 61|00:22:57|-0.01|0.13|0.8357| +|=| 9| 13| 49| 800.3144431| 69|00:32:30|-0.01|0.12|0.7257| +|=| 5| 13| 49| 744.7239494| 77|00:32:29|-0.01|0.10|0.6413| +|=| 1| 13| 49| 720.2516360| 85|00:32:27|+0.01|0.11|0.6556| +|=| 4| 13| 49| 700.2291995| 93|00:32:25|+0.03|0.12|0.6788| +|=| 2| 13| 49| 666.8767663| 101|00:32:30|+0.03|0.11|0.6217| +|=| 12| 13| 49| 654.0413452| 109|00:32:23|+0.02|0.10|0.6394| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 654.0413452 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 87 0.71752 88 66 14 15 67 45 + +# 2023-09-03 21:03:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 87 0.71752 88 66 14 15 67 +45 9 89 0.69713 91 78 42 24 74 +31 10 90 0.99980 94 36 98 17 45 +44 9 65 0.90099 75 32 89 24 53 +15 8 114 0.70016 99 66 80 13 67 +# 2023-09-03 21:03:43 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 679290.5, CPU sys time: 77.658, Wall-clock time: 95411.04 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 87 0.71752 88 66 14 15 67 +45 9 89 0.69713 91 78 42 24 74 +31 10 90 0.99980 94 36 98 17 45 +44 9 65 0.90099 75 32 89 24 53 +15 8 114 0.70016 99 66 80 13 67 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k87 -M0.71752 -Q88 -G66 -D14 -O15 -L67 +45 -K9 -k89 -M0.69713 -Q91 -G78 -D42 -O24 -L74 +31 -K10 -k90 -M0.9998 -Q94 -G36 -D98 -O17 -L45 +44 -K9 -k65 -M0.90099 -Q75 -G32 -D89 -O24 -L53 +15 -K8 -k114 -M0.70016 -Q99 -G66 -D80 -O13 -L67 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 21:03:43 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-4.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-4.txt new file mode 100644 index 000000000..f4de8e69d --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-4.txt @@ -0,0 +1,249 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 19:34:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1394442304 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 19:34:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:03:19| NA| NA| NA| +|x| 2| 16| 14| 759.5782295| 32|00:02:59|+0.27|0.64|0.6081| +|x| 3| 16| 11| 674.4642553| 48|00:03:18|+0.09|0.40|0.7803| +|x| 4| 16| 6| 630.9085560| 64|00:03:18|+0.15|0.36|0.6715| +|=| 5| 16| 9| 749.4472258| 80|00:02:58|+0.10|0.28|0.7744| +|=| 6| 16| 9| 674.5393548| 96|00:03:20|+0.12|0.26|0.7834| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 674.5393548 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 114 0.63687 83 51 79 40 1 NA + +# 2023-09-01 19:53:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 114 0.63687 83 51 79 40 1 +6 6 55 0.17207 53 23 94 1 8 +11 10 64 0.95661 66 48 55 96 90 +7 9 117 0.22850 80 10 80 8 98 +14 7 113 0.47365 19 70 48 65 41 +# 2023-09-01 19:53:50 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 6| 300.0000000| 18|00:05:00| NA| NA| NA| +|x| 2| 18| 29| 756.0521555| 31|00:02:56|+0.26|0.63|0.6937| +|x| 1| 18| 29| 604.0347703| 44|00:03:20|+0.13|0.42|0.5461| +|x| 4| 18| 18| 580.6504902| 57|00:03:16|+0.00|0.25|0.6856| +|=| 5| 18| 18| 709.2021376| 70|00:02:59|-0.02|0.19|0.7413| +|=| 6| 18| 18| 641.0017813| 83|00:03:20|-0.01|0.16|0.6201| +|=| 3| 18| 18| 620.8734396| 96|00:03:17|+0.01|0.15|0.6653| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 620.8734396 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 7 55 0.5324 97 29 67 31 30 9 + +# 2023-09-01 20:18:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 7 55 0.53240 97 29 67 31 30 +26 5 63 0.97234 68 75 79 8 8 +29 4 99 0.28749 22 22 71 38 9 +24 10 71 0.21225 64 54 55 8 89 +17 5 83 0.55454 51 14 71 36 65 +# 2023-09-01 20:18:02 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 500.0643590| 17|00:03:39| NA| NA| NA| +|x| 2| 17| 18| 861.3067400| 29|00:02:22|+0.17|0.59|1.1528| +|x| 3| 17| 31| 740.7384367| 41|00:02:39|+0.17|0.45|0.7738| +|x| 1| 17| 31| 630.5538275| 53|00:02:40|+0.11|0.33|0.9030| +|=| 6| 17| 31| 564.4430620| 65|00:02:39|+0.10|0.28|0.8515| +|=| 7| 17| 31| 520.3692183| 77|00:02:40|+0.12|0.26|0.7741| +|-| 5| 12| 31| 620.7183707| 89|00:02:21|-0.05|0.10|0.5560| +|=| 4| 12| 31| 605.6382576| 96|00:02:38|-0.02|0.11|0.5776| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 605.6382576 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 8 3 0.40875 95 51 61 4 42 18 + +# 2023-09-01 20:39:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 8 3 0.40875 95 51 61 4 42 +18 7 55 0.53240 97 29 67 31 30 +41 5 57 0.98013 56 79 69 22 2 +29 4 99 0.28749 22 22 71 38 9 +26 5 63 0.97234 68 75 79 8 8 +# 2023-09-01 20:39:44 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 44| 1220.270034| 16|00:03:10| NA| NA| NA| +|x| 2| 16| 31| 1221.700218| 27|00:02:29|+0.30|0.65|0.6584| +|x| 4| 16| 18| 981.3181893| 38|00:03:15|+0.22|0.48|0.7335| +|x| 3| 16| 31| 860.8846450| 49|00:03:13|+0.36|0.52|0.6033| +|-| 6| 7| 31| 748.7077160| 60|00:03:20|-0.13|0.09|0.7791| +|=| 1| 7| 31| 673.9230967| 62|00:02:40|-0.11|0.08|0.6337| +|=| 7| 7| 31| 620.5055114| 64|00:02:39|-0.09|0.07|0.5343| +|=| 8| 7| 31| 605.4589734| 66|00:02:34|-0.04|0.09|0.5748| +|=| 5| 7| 31| 674.0538969| 68|00:01:43|-0.04|0.07|0.6050| +|=| 10| 7| 31| 727.5247179| 75|00:01:43|-0.03|0.07|0.6150| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 727.5247179 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 8 3 0.40875 95 51 61 4 42 18 + +# 2023-09-01 21:06:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 8 3 0.40875 95 51 61 4 42 +41 5 57 0.98013 56 79 69 22 2 +29 4 99 0.28749 22 22 71 38 9 +18 7 55 0.53240 97 29 67 31 30 +44 8 103 0.48037 82 43 57 6 22 +# 2023-09-01 21:06:35 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 363 +# remainingBudget: 137 +# currentBudget: 137 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 17| 59| 500.0630170| 17|00:04:11| NA| NA| NA| +|x| 8| 17| 18| 500.0649620| 29|00:02:39|-0.02|0.49|0.7216| +|x| 10| 17| 59| 741.0106703| 41|00:02:14|-0.04|0.31|0.8278| +|x| 1| 17| 59| 630.7580028| 53|00:02:39|-0.02|0.23|0.6492| +|=| 7| 17| 59| 564.6064022| 65|00:02:40|-0.02|0.19|0.5307| +|=| 4| 17| 59| 553.8586888| 77|00:02:38|+0.07|0.23|0.5590| +|-| 9| 12| 59| 649.0872521| 89|00:02:15|-0.00|0.14|0.5682| +|=| 5| 12| 59| 720.5972650| 96|00:01:57|+0.00|0.13|0.6301| +|=| 3| 12| 59| 696.0884929| 103|00:02:38|+0.02|0.13|0.6740| +|=| 6| 12| 59| 656.4796436| 110|00:02:39|+0.02|0.11|0.7057| +|=| 2| 12| 59| 707.9937132| 117|00:02:06|+0.00|0.09|0.7574| +|=| 12| 12| 59| 673.9942371| 129|00:02:40|+0.00|0.08|0.6936| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 59 mean value: 673.9942371 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +59 59 8 78 0.85899 84 16 57 26 13 18 + +# 2023-09-01 21:37:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +59 8 78 0.85899 84 16 57 26 13 +31 8 3 0.40875 95 51 61 4 42 +53 6 18 0.37936 96 39 51 6 50 +18 7 55 0.53240 97 29 67 31 30 +60 7 62 0.98417 68 86 67 34 14 +# 2023-09-01 21:37:56 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 58479.33, CPU sys time: 8.047, Wall-clock time: 7401.897 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +59 8 78 0.85899 84 16 57 26 13 +31 8 3 0.40875 95 51 61 4 42 +53 6 18 0.37936 96 39 51 6 50 +18 7 55 0.53240 97 29 67 31 30 +60 7 62 0.98417 68 86 67 34 14 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +59 -K8 -k78 -M0.85899 -Q84 -G16 -D57 -O26 -L13 +31 -K8 -k3 -M0.40875 -Q95 -G51 -D61 -O4 -L42 +53 -K6 -k18 -M0.37936 -Q96 -G39 -D51 -O6 -L50 +18 -K7 -k55 -M0.5324 -Q97 -G29 -D67 -O31 -L30 +60 -K7 -k62 -M0.98417 -Q68 -G86 -D67 -O34 -L14 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-01 21:37:56 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-40.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-40.txt new file mode 100644 index 000000000..6edc87690 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-40.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 19:03:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1835562391 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 19:03:15 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:36:39| NA| NA| NA| +|x| 2| 16| 6| 750.3958285| 32|00:30:40|+0.19|0.60|1.2575| +|x| 3| 16| 5| 667.2152557| 48|00:36:29|+0.27|0.52|0.9575| +|x| 4| 16| 3| 625.2292515| 64|00:36:34|+0.45|0.59|0.7833| +|-| 5| 8| 3| 560.1834012| 80|00:36:42|+0.08|0.27|0.5305| +|=| 6| 8| 6| 667.3789923| 88|00:27:41|-0.10|0.09|0.6578| +|=| 7| 8| 6| 743.7648163| 96|00:28:02|-0.05|0.10|0.6777| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 743.7648163 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 9 17 0.65326 80 68 52 97 1 NA + +# 2023-09-02 22:56:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 9 17 0.65326 80 68 52 97 1 +3 9 73 0.96612 67 71 4 2 61 +13 5 75 0.21430 93 57 43 1 21 +16 7 46 0.10711 85 11 2 54 0 +14 6 117 0.92960 62 19 69 45 68 +# 2023-09-02 22:56:05 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 6| 300.0000000| 17|00:46:45| NA| NA| NA| +|x| 7| 17| 27| 750.3646115| 29|00:27:03|+0.54|0.77|0.7151| +|x| 3| 17| 17| 666.9659110| 41|00:32:54|+0.33|0.55|0.8278| +|x| 1| 17| 17| 575.2244332| 53|00:33:20|+0.37|0.53|0.7716| +|-| 2| 9| 17| 700.2997054| 65|00:27:15|-0.10|0.12|0.6005| +|=| 4| 9| 17| 666.9164220| 69|00:29:43|-0.01|0.16|0.6249| +|=| 6| 9| 17| 746.1562080| 73|00:25:19|-0.04|0.11|0.6726| +|=| 5| 9| 17| 690.3866820| 77|00:29:59|-0.04|0.09|0.5838| +|=| 9| 9| 17| 669.2348114| 86|00:30:00|-0.01|0.10|0.6116| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 669.2348114 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 7 90 0.94242 88 94 40 25 74 3 + +# 2023-09-03 03:38:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 90 0.94242 88 94 40 25 74 +27 6 39 0.85083 95 71 46 8 62 +16 7 46 0.10711 85 11 2 54 0 +13 5 75 0.21430 93 57 43 1 21 +6 9 17 0.65326 80 68 52 97 1 +# 2023-09-03 03:38:26 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 182 +# remainingBudget: 318 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 17| 300.0000000| 15|00:36:46| NA| NA| NA| +|x| 1| 15| 17| 300.0000000| 25|00:30:01|+0.00|0.50|0.4667| +|x| 8| 15| 17| 300.0000000| 35|00:30:03|+0.00|0.33|0.3111| +|x| 5| 15| 17| 300.0000000| 45|00:30:01|+0.00|0.25|0.2333| +|=| 9| 15| 34| 340.0000002| 55|00:29:47|+0.08|0.26|0.3246| +|=| 4| 15| 16| 366.6667087| 65|00:29:51|+0.11|0.26|0.3988| +|-| 2| 10| 17| 485.8029494| 75|00:24:33|-0.04|0.11|0.3939| +|=| 3| 10| 16| 490.0554711| 80|00:26:25|+0.03|0.15|0.4338| +|=| 7| 10| 17| 566.8353754| 85|00:22:05|+0.06|0.17|0.4701| +|=| 6| 10| 17| 632.3113303| 90|00:22:12|+0.00|0.10|0.5419| +|=| 11| 10| 17| 620.2856778| 100|00:29:53|+0.01|0.10|0.5617| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 620.2856778 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 7 90 0.94242 88 94 40 25 74 3 + +# 2023-09-03 08:50:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 90 0.94242 88 94 40 25 74 +34 8 112 0.84462 37 40 10 34 5 +16 7 46 0.10711 85 11 2 54 0 +27 6 39 0.85083 95 71 46 8 62 +37 6 59 0.45935 72 92 32 6 6 +# 2023-09-03 08:50:08 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 282 +# remainingBudget: 218 +# currentBudget: 109 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 34| 1200.255395| 13|00:35:20| NA| NA| NA| +|x| 8| 13| 34| 750.1276975| 21|00:33:21|+0.29|0.65|0.4508| +|x| 7| 13| 34| 900.2017830| 29|00:25:34|+0.57|0.71|0.3207| +|x| 3| 13| 34| 800.1561712| 37|00:33:05|+0.32|0.49|0.4533| +|-| 1| 10| 34| 700.1249370| 45|00:33:20|-0.11|0.12|0.5192| +|=| 6| 10| 41| 783.9472780| 50|00:24:34|-0.00|0.16|0.5426| +|=| 4| 10| 41| 743.3866286| 55|00:33:05|-0.08|0.07|0.6631| +|=| 10| 10| 41| 687.9633000| 60|00:33:20|-0.07|0.07|0.5777| +|=| 9| 10| 34| 666.9226858| 65|00:33:04|-0.09|0.03|0.6299| +|=| 11| 10| 34| 650.2333634| 70|00:33:10|-0.06|0.04|0.6297| +|=| 5| 10| 34| 618.3939667| 75|00:33:20|-0.06|0.03|0.6648| +|=| 2| 10| 43| 668.5699800| 80|00:24:25|-0.06|0.03|0.7005| +|=| 13| 10| 43| 640.2184431| 90|00:33:23|-0.06|0.02|0.6447| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 640.2184431 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 7 119 0.87802 47 12 25 36 23 34 + +# 2023-09-03 15:39:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 7 119 0.87802 47 12 25 36 23 +42 8 109 0.73080 37 56 6 24 39 +17 7 90 0.94242 88 94 40 25 74 +34 8 112 0.84462 37 40 10 34 5 +41 10 117 0.48030 28 40 21 19 37 +# 2023-09-03 15:39:14 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 372 +# remainingBudget: 128 +# currentBudget: 128 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 54| 1201.012062| 13|00:31:52| NA| NA| NA| +|x| 12| 13| 54| 1200.873562| 21|00:24:21|+0.13|0.56|0.7462| +|x| 3| 13| 48| 967.2379300| 29|00:29:48|+0.23|0.49|0.5919| +|x| 8| 13| 48| 800.4284475| 37|00:30:00|+0.16|0.37|0.5267| +|=| 13| 13| 48| 700.3427580| 45|00:29:59|+0.12|0.29|0.4545| +|=| 7| 13| 41| 784.0036372| 53|00:24:45|+0.11|0.26|0.4959| +|-| 6| 11| 41| 843.6147137| 61|00:24:55|-0.06|0.09|0.6251| +|=| 1| 11| 41| 775.6628745| 67|00:29:59|-0.05|0.08|0.5500| +|=| 2| 11| 42| 822.8263119| 73|00:23:37|-0.05|0.07|0.5940| +|=| 10| 11| 42| 770.5436807| 79|00:30:00|-0.05|0.06|0.5358| +|=| 4| 11| 54| 746.0187952| 85|00:29:49|-0.03|0.06|0.5822| +|=| 9| 11| 54| 725.5172292| 91|00:29:45|-0.01|0.07|0.5984| +|=| 11| 11| 54| 708.1704032| 97|00:29:55|+0.01|0.08|0.6106| +|=| 5| 11| 54| 679.0153744| 103|00:29:59|-0.00|0.07|0.6483| +|=| 15| 11| 48| 669.6293103| 114|00:33:13|+0.00|0.07|0.6577| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 669.6293103 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 93 0.89963 44 85 21 6 26 42 + +# 2023-09-03 22:51:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 93 0.89963 44 85 21 6 26 +54 7 120 0.90179 36 19 22 29 36 +43 7 119 0.87802 47 12 25 36 23 +42 8 109 0.73080 37 56 6 24 39 +50 9 123 0.77735 29 21 31 10 30 +# 2023-09-03 22:51:19 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 486 +# timeUsed: 0 +# remainingBudget: 14 +# currentBudget: 14 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 619649.3, CPU sys time: 58.59, Wall-clock time: 100084.1 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 93 0.89963 44 85 21 6 26 +54 7 120 0.90179 36 19 22 29 36 +43 7 119 0.87802 47 12 25 36 23 +42 8 109 0.73080 37 56 6 24 39 +50 9 123 0.77735 29 21 31 10 30 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +48 -K9 -k93 -M0.89963 -Q44 -G85 -D21 -O6 -L26 +54 -K7 -k120 -M0.90179 -Q36 -G19 -D22 -O29 -L36 +43 -K7 -k119 -M0.87802 -Q47 -G12 -D25 -O36 -L23 +42 -K8 -k109 -M0.7308 -Q37 -G56 -D6 -O24 -L39 +50 -K9 -k123 -M0.77735 -Q29 -G21 -D31 -O10 -L30 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 22:51:19 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-41.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-41.txt new file mode 100644 index 000000000..d96da1fc2 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-41.txt @@ -0,0 +1,291 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 16:12:28 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 942924302 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 16:12:28 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.0000000| 16|00:34:14| NA| NA| NA| +|x| 2| 16| 6| 750.5438240| 32|00:28:22|+0.59|0.80|0.6654| +|x| 3| 16| 16| 667.0764653| 48|00:34:11|+0.37|0.58|0.8008| +|x| 4| 16| 16| 625.3073490| 64|00:34:12|+0.51|0.63|0.6149| +|-| 5| 5| 16| 560.2458792| 80|00:34:11|+0.12|0.29|0.4536| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 560.2458792 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 9 56 0.40517 89 7 43 0 12 NA + +# 2023-09-02 18:57:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 9 56 0.40517 89 7 43 0 12 +6 4 91 0.70817 66 5 44 21 34 +4 10 77 0.61351 24 41 82 32 79 +7 6 55 0.66174 86 71 9 51 3 +8 10 80 0.25193 24 35 9 72 73 +# 2023-09-02 18:57:40 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 24| 1203.053396| 18|00:37:51| NA| NA| NA| +|x| 5| 18| 24| 751.5266980| 31|00:34:11|+0.50|0.75|0.7162| +|x| 3| 18| 16| 673.4668217| 44|00:34:01|+0.27|0.52|0.8221| +|x| 1| 18| 16| 580.1001162| 57|00:34:11|+0.38|0.54|0.6815| +|-| 2| 14| 16| 704.3259722| 70|00:28:21|-0.08|0.13|0.5977| +|=| 4| 14| 16| 670.2716435| 79|00:33:55|+0.02|0.18|0.6147| +|=| 7| 14| 16| 746.0127604| 93|00:37:31|+0.08|0.21|0.6062| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 746.0127604 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 9 56 0.40517 89 7 43 0 12 NA + +# 2023-09-02 22:57:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 9 56 0.40517 89 7 43 0 12 +26 9 34 0.13221 56 14 95 11 45 +24 7 73 0.63510 62 55 43 29 52 +7 6 55 0.66174 86 71 9 51 3 +18 10 96 0.47434 69 82 13 17 30 +# 2023-09-02 22:57:44 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 173 +# remainingBudget: 327 +# currentBudget: 109 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 41| 500.0000000| 18|00:57:25| NA| NA| NA| +|x| 7| 18| 16| 850.2300985| 31|00:35:18|-0.15|0.43|1.2129| +|x| 1| 18| 16| 666.8200657| 44|00:37:35|-0.07|0.28|0.7191| +|x| 5| 18| 16| 575.1150492| 57|00:37:35|-0.05|0.21|0.5170| +|=| 3| 18| 16| 560.0920394| 70|00:37:28|+0.10|0.28|0.5413| +|=| 2| 18| 16| 666.9482655| 83|00:35:10|+0.10|0.25|0.6060| +|-| 4| 8| 16| 643.0985133| 96|00:37:31|+0.09|0.22|0.6083| +|=| 6| 8| 16| 715.2612572| 99|00:25:04|+0.08|0.19|0.6554| +|=| 9| 8| 16| 669.1211176| 107|00:34:11|+0.07|0.17|0.5827| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 669.1211176 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 9 56 0.40517 89 7 43 0 12 NA + +# 2023-09-03 04:35:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 9 56 0.40517 89 7 43 0 12 +34 9 75 0.57725 70 13 29 0 8 +41 10 55 0.67496 90 54 87 41 55 +26 9 34 0.13221 56 14 95 11 45 +24 7 73 0.63510 62 55 43 29 52 +# 2023-09-03 04:35:05 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 280 +# remainingBudget: 220 +# currentBudget: 110 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 50| 500.0000000| 15|01:00:39| NA| NA| NA| +|x| 1| 15| 50| 400.0000000| 25|00:34:14|+0.00|0.50|0.4667| +|x| 7| 15| 16| 666.8229927| 35|00:30:15|-0.04|0.31|0.6989| +|x| 2| 15| 50| 800.6370050| 45|00:30:28|+0.00|0.25|0.6764| +|=| 6| 15| 50| 880.9900266| 55|00:30:30|-0.06|0.16|0.7253| +|=| 4| 15| 52| 817.2387623| 65|00:34:11|-0.01|0.16|0.7404| +|=| 5| 15| 52| 743.3475106| 75|00:34:13|-0.01|0.14|0.6400| +|=| 3| 15| 52| 712.9290718| 85|00:34:15|+0.05|0.17|0.6922| +|=| 8| 15| 52| 689.2702869| 95|00:34:13|+0.07|0.17|0.7085| +|=| 9| 15| 52| 650.3432582| 105|00:34:12|+0.06|0.16|0.6394| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 650.3432582 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 10 73 0.92724 62 16 40 15 8 34 + +# 2023-09-03 10:32:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 10 73 0.92724 62 16 40 15 8 +50 8 92 0.84988 74 46 63 64 33 +16 9 56 0.40517 89 7 43 0 12 +48 9 22 0.62600 93 10 59 3 9 +41 10 55 0.67496 90 54 87 41 55 +# 2023-09-03 10:32:19 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 385 +# remainingBudget: 115 +# currentBudget: 115 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 52| 300.0000000| 15|00:54:40| NA| NA| NA| +|x| 4| 15| 52| 400.0000000| 25|00:30:48|+0.00|0.50|0.4667| +|x| 6| 15| 52| 666.9786270| 35|00:27:29|+0.17|0.44|0.5013| +|x| 8| 15| 41| 625.0395855| 45|00:30:47|+0.24|0.43|0.6256| +|-| 3| 6| 52| 600.1871778| 55|00:30:50|+0.19|0.35|0.5358| +|=| 1| 6| 52| 550.1559815| 56|00:30:45|+0.15|0.29|0.4683| +|=| 2| 6| 52| 643.2841526| 57|00:19:25|-0.06|0.09|0.6018| +|=| 5| 6| 52| 600.3736335| 58|00:30:44|-0.05|0.08|0.5258| +|=| 9| 6| 52| 566.9987853| 59|00:30:45|-0.05|0.07|0.4668| +|=| 7| 6| 52| 630.3372203| 60|00:20:01|-0.07|0.04|0.5066| +|=| 10| 6| 52| 618.4938711| 61|00:28:57|-0.07|0.03|0.5464| +|=| 12| 6| 50| 667.0926343| 67|00:25:58|-0.06|0.03|0.5546| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 667.0926343 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 8 92 0.84988 74 46 63 64 33 41 + +# 2023-09-03 16:33:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 8 92 0.84988 74 46 63 64 33 +48 9 22 0.62600 93 10 59 3 9 +52 10 73 0.92724 62 16 40 15 8 +16 9 56 0.40517 89 7 43 0 12 +55 9 60 0.30204 73 14 41 28 14 +# 2023-09-03 16:33:35 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 452 +# remainingBudget: 48 +# currentBudget: 48 +# nbConfigurations: 8 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 8| 48| 500.0039090| 8|00:33:59| NA| NA| NA| +|x| 10| 8| 16| 500.0067125| 11|00:32:48|+0.20|0.60|0.6139| +|x| 9| 8| 16| 433.3378083| 14|00:34:09|+0.10|0.40|0.4963| +|x| 7| 8| 16| 625.1182217| 17|00:23:13|+0.10|0.33|0.5862| +|=| 1| 8| 16| 560.0945774| 20|00:34:10|+0.08|0.26|0.4830| +|=| 2| 8| 65| 666.8465837| 23|00:22:55|-0.02|0.15|0.5730| +|=| 6| 8| 65| 743.5100341| 26|00:22:44|-0.12|0.04|0.6621| +|=| 5| 8| 65| 688.0712799| 29|00:34:09|-0.11|0.03|0.5747| +|=| 12| 8| 50| 745.0127931| 32|00:22:11|-0.06|0.06|0.5955| +|=| 8| 8| 50| 720.5115138| 35|00:32:56|-0.01|0.09|0.5923| +|=| 3| 8| 50| 700.4650460| 38|00:32:59|+0.00|0.09|0.5818| +|=| 11| 8| 50| 667.0929588| 41|00:34:09|+0.00|0.08|0.5379| +|=| 4| 8| 50| 654.2396555| 44|00:32:39|+0.02|0.10|0.5828| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 654.2396555 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 8 92 0.84988 74 46 63 64 33 41 + +# 2023-09-03 23:06:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 8 92 0.84988 74 46 63 64 33 +63 10 32 0.56350 94 0 30 19 17 +52 10 73 0.92724 62 16 40 15 8 +48 9 22 0.62600 93 10 59 3 9 +16 9 56 0.40517 89 7 43 0 12 +# 2023-09-03 23:06:42 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 708198.7, CPU sys time: 49.499, Wall-clock time: 111254.5 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 8 92 0.84988 74 46 63 64 33 +63 10 32 0.56350 94 0 30 19 17 +52 10 73 0.92724 62 16 40 15 8 +48 9 22 0.62600 93 10 59 3 9 +16 9 56 0.40517 89 7 43 0 12 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K8 -k92 -M0.84988 -Q74 -G46 -D63 -O64 -L33 +63 -K10 -k32 -M0.5635 -Q94 -G0 -D30 -O19 -L17 +52 -K10 -k73 -M0.92724 -Q62 -G16 -D40 -O15 -L8 +48 -K9 -k22 -M0.626 -Q93 -G10 -D59 -O3 -L9 +16 -K9 -k56 -M0.40517 -Q89 -G7 -D43 -O0 -L12 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 23:06:42 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-42.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-42.txt new file mode 100644 index 000000000..214e17a0a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-42.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 15:17:24 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 783584433 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 15:17:24 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 500.0015150| 16|00:34:36| NA| NA| NA| +|x| 2| 16| 1| 400.0007575| 32|00:35:01|+0.21|0.61|1.0995| +|x| 3| 16| 8| 667.4487093| 48|00:29:50|+0.34|0.56|0.8110| +|x| 4| 16| 8| 801.2747482| 64|00:30:35|+0.37|0.53|0.7847| +|-| 5| 8| 8| 701.0197986| 80|00:35:00|-0.00|0.20|0.7956| +|=| 6| 8| 12| 668.2020577| 88|00:31:12|+0.12|0.27|0.7694| +|=| 7| 8| 8| 746.6739417| 96|00:24:20|+0.00|0.14|0.7867| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 746.6739417 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 9 82 0.17067 88 60 58 33 59 NA + +# 2023-09-02 18:58:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 9 82 0.17067 88 60 58 33 59 +12 9 117 0.44882 81 40 58 60 63 +1 7 107 0.98374 63 66 55 97 63 +5 8 55 0.84006 95 20 82 8 95 +11 7 89 0.17148 17 73 83 53 2 +# 2023-09-02 18:58:02 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 8| 300.0000000| 17|00:59:31| NA| NA| NA| +|x| 1| 17| 26| 400.0000005| 29|00:34:50|+0.00|0.50|0.4706| +|x| 7| 17| 18| 666.9003663| 41|00:29:54|+0.20|0.46|0.6132| +|x| 4| 17| 21| 800.7794050| 53|00:30:08|+0.08|0.31|0.7186| +|=| 6| 17| 26| 744.5244836| 65|00:34:52|+0.03|0.23|0.7640| +|=| 2| 17| 26| 670.4370697| 77|00:35:03|+0.03|0.19|0.6348| +|=| 5| 17| 26| 617.5174883| 89|00:35:04|+0.02|0.16|0.5431| +|=| 3| 17| 26| 690.4040646| 101|00:29:43|+0.02|0.14|0.5997| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 690.4040646 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 9 46 0.3113 91 99 75 26 11 8 + +# 2023-09-02 23:47:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 9 46 0.31130 91 99 75 26 11 +21 10 99 0.51137 79 70 20 4 66 +25 8 121 0.87517 88 74 53 95 58 +20 10 74 0.50969 73 83 72 18 66 +28 9 122 0.51330 68 24 89 53 35 +# 2023-09-02 23:47:10 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 30| 500.0000000| 15|00:48:58| NA| NA| NA| +|x| 2| 15| 30| 400.0000000| 25|00:35:01|+0.18|0.59|0.7926| +|x| 7| 15| 32| 666.6959520| 35|00:28:50|+0.07|0.38|1.0349| +|x| 3| 15| 32| 800.3106207| 45|00:29:06|+0.06|0.30|0.9999| +|=| 5| 15| 32| 700.2484966| 55|00:35:02|+0.09|0.27|0.8937| +|=| 8| 15| 32| 633.5404138| 65|00:35:00|+0.12|0.27|0.7917| +|-| 1| 11| 21| 614.5106520| 75|00:34:53|-0.04|0.11|0.5490| +|=| 4| 11| 20| 690.1799654| 81|00:26:24|+0.02|0.14|0.5558| +|=| 6| 11| 32| 666.9579433| 87|00:34:45|+0.02|0.12|0.5818| +|=| 10| 11| 32| 650.2621490| 98|00:35:00|+0.07|0.16|0.6005| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 650.2621490 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 115 0.99283 79 68 94 16 38 26 + +# 2023-09-03 05:30:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 115 0.99283 79 68 94 16 38 +21 10 99 0.51137 79 70 20 4 66 +20 10 74 0.50969 73 83 72 18 66 +26 9 46 0.31130 91 99 75 26 11 +25 8 121 0.87517 88 74 53 95 58 +# 2023-09-03 05:30:15 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 295 +# remainingBudget: 205 +# currentBudget: 102 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 13| 26| 1200.552937| 13|00:38:49| NA| NA| NA| +|x| 1| 13| 26| 850.2764690| 21|00:34:45|+0.28|0.64|0.7463| +|x| 6| 13| 26| 733.5235200| 29|00:34:43|+0.27|0.51|0.7669| +|x| 9| 13| 40| 680.1460160| 37|00:34:42|+0.29|0.47|0.6670| +|=| 4| 13| 32| 784.3384674| 45|00:27:59|+0.13|0.31|0.7407| +|=| 2| 13| 32| 703.6153895| 53|00:34:59|+0.11|0.25|0.6477| +|=| 5| 13| 32| 645.9560481| 61|00:35:01|+0.09|0.22|0.5725| +|=| 7| 13| 32| 715.2225241| 69|00:28:25|+0.07|0.19|0.6479| +|-| 10| 11| 32| 691.3089103| 77|00:34:47|-0.04|0.08|0.7430| +|=| 8| 11| 32| 652.1780193| 83|00:35:00|-0.03|0.07|0.6651| +|=| 3| 11| 32| 702.0849836| 89|00:25:15|-0.03|0.07|0.6679| +|=| 12| 11| 32| 668.5779017| 100|00:35:00|-0.02|0.06|0.6117| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 668.5779017 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 115 0.99283 79 68 94 16 38 26 + +# 2023-09-03 12:09:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 115 0.99283 79 68 94 16 38 +41 9 119 0.79236 80 78 7 0 62 +40 10 79 0.74917 100 64 95 4 26 +20 10 74 0.50969 73 83 72 18 66 +26 9 46 0.31130 91 99 75 26 11 +# 2023-09-03 12:09:46 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 395 +# remainingBudget: 105 +# currentBudget: 105 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 12| 41| 1200.066965| 12|00:31:52| NA| NA| NA| +|x| 9| 12| 41| 850.0334825| 19|00:34:57|+0.09|0.54|0.6497| +|x| 10| 12| 40| 733.5483040| 26|00:34:55|+0.10|0.40|0.6314| +|x| 3| 12| 40| 850.4283685| 33|00:28:30|+0.12|0.34|0.6968| +|=| 5| 12| 40| 740.3426948| 40|00:35:00|+0.05|0.24|0.7560| +|=| 4| 12| 41| 816.9965647| 47|00:28:37|+0.14|0.29|0.7605| +|=| 2| 12| 41| 743.1399126| 54|00:35:00|+0.10|0.23|0.7617| +|-| 1| 9| 41| 712.7474235| 61|00:34:56|-0.05|0.08|0.8556| +|=| 7| 9| 41| 766.9580886| 65|00:25:14|-0.05|0.06|0.8938| +|=| 12| 9| 41| 720.2622797| 69|00:34:59|-0.05|0.06|0.8506| +|=| 6| 9| 41| 700.2476301| 73|00:33:50|-0.06|0.04|0.8876| +|=| 8| 9| 41| 666.8936609| 77|00:35:00|-0.05|0.04|0.8487| +|=| 11| 9| 51| 710.9503050| 81|00:25:40|-0.06|0.02|0.8814| +|=| 14| 9| 51| 681.5967118| 90|00:35:00|-0.05|0.03|0.8490| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 681.5967118 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 9 98 0.99641 60 99 52 46 32 32 + +# 2023-09-03 19:43:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 9 98 0.99641 60 99 52 46 32 +41 9 119 0.79236 80 78 7 0 62 +32 9 115 0.99283 79 68 94 16 38 +40 10 79 0.74917 100 64 95 4 26 +52 10 104 0.95256 57 77 3 5 53 +# 2023-09-03 19:43:22 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 485 +# timeUsed: 0 +# remainingBudget: 15 +# currentBudget: 15 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 737589.5, CPU sys time: 80.517, Wall-clock time: 102357.6 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 9 98 0.99641 60 99 52 46 32 +41 9 119 0.79236 80 78 7 0 62 +32 9 115 0.99283 79 68 94 16 38 +40 10 79 0.74917 100 64 95 4 26 +52 10 104 0.95256 57 77 3 5 53 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +51 -K9 -k98 -M0.99641 -Q60 -G99 -D52 -O46 -L32 +41 -K9 -k119 -M0.79236 -Q80 -G78 -D7 -O0 -L62 +32 -K9 -k115 -M0.99283 -Q79 -G68 -D94 -O16 -L38 +40 -K10 -k79 -M0.74917 -Q100 -G64 -D95 -O4 -L26 +52 -K10 -k104 -M0.95256 -Q57 -G77 -D3 -O5 -L53 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 19:43:22 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-43.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-43.txt new file mode 100644 index 000000000..1a4ffcafe --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-43.txt @@ -0,0 +1,252 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 12:23:38 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 913747830 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 12:23:38 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:32:17| NA| NA| NA| +|x| 2| 16| 7| 750.7435860| 32|00:28:20|+0.27|0.63|0.7494| +|x| 3| 16| 6| 667.1644067| 48|00:32:04|+0.23|0.49|0.8562| +|x| 4| 16| 7| 625.3758747| 64|00:32:03|+0.29|0.46|0.7429| +|=| 5| 16| 7| 744.4417370| 80|00:27:57|+0.15|0.32|0.8532| +|-| 6| 9| 7| 670.3681142| 96|00:32:16|-0.01|0.16|0.6042| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 670.3681142 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 9 52 0.52278 72 37 69 62 88 NA + +# 2023-09-02 15:28:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 9 52 0.52278 72 37 69 62 88 +6 7 34 0.65939 69 0 75 35 6 +11 9 12 0.46030 49 19 88 33 12 +8 9 85 0.95303 100 56 61 90 40 +12 4 99 0.94503 67 47 86 38 18 +# 2023-09-02 15:28:39 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 29| 500.0000000| 18|00:45:54| NA| NA| NA| +|x| 6| 18| 29| 400.0000000| 31|00:32:16|+0.00|0.50|0.4722| +|x| 4| 18| 29| 433.3333443| 44|00:31:44|+0.34|0.56|0.3314| +|x| 2| 18| 7| 625.3731975| 57|00:27:10|+0.25|0.44|0.4848| +|-| 3| 11| 7| 600.3018226| 70|00:31:45|-0.05|0.16|0.7522| +|=| 1| 11| 29| 553.5783963| 76|00:32:14|-0.04|0.13|0.6227| +|=| 5| 11| 29| 646.7729069| 82|00:23:51|+0.01|0.15|0.6628| +|=| 8| 11| 29| 603.4262935| 93|00:32:15|+0.00|0.13|0.5782| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 603.4262935 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 7 62 0.46408 97 48 36 21 60 7 + +# 2023-09-02 19:45:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 62 0.46408 97 48 36 21 60 +25 7 30 0.84506 77 6 92 12 21 +26 8 33 0.71228 73 57 30 91 14 +6 7 34 0.65939 69 0 75 35 6 +7 9 52 0.52278 72 37 69 62 88 +# 2023-09-02 19:45:53 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 189 +# remainingBudget: 311 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 32| 1200.363847| 15|00:41:52| NA| NA| NA| +|x| 1| 15| 32| 750.1819235| 25|00:35:49|+0.00|0.50|0.4667| +|x| 4| 15| 7| 667.3476243| 35|00:35:31|-0.31|0.13|0.7944| +|x| 2| 15| 39| 800.4155833| 45|00:29:43|-0.10|0.17|0.7906| +|=| 8| 15| 39| 700.3324666| 55|00:35:51|-0.08|0.14|0.6144| +|=| 3| 15| 39| 666.9437222| 65|00:35:19|-0.02|0.15|0.6510| +|=| 7| 15| 39| 643.0946197| 75|00:35:32|+0.05|0.18|0.6471| +|=| 6| 15| 39| 600.2077923| 85|00:35:50|+0.04|0.16|0.5687| +|=| 5| 15| 39| 666.9200381| 95|00:30:16|+0.05|0.15|0.6172| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 666.9200381 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 10 63 0.4858 75 3 41 28 52 29 + +# 2023-09-03 01:01:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 10 63 0.48580 75 3 41 28 52 +30 6 40 0.54582 83 0 75 30 2 +35 8 71 0.60717 73 26 100 9 17 +32 10 31 0.69919 64 14 66 0 22 +38 6 29 0.76902 95 26 80 7 44 +# 2023-09-03 01:01:41 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 284 +# remainingBudget: 216 +# currentBudget: 108 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 39| 500.0000000| 15|00:56:15| NA| NA| NA| +|x| 9| 15| 32| 850.1819235| 25|00:31:05|+0.31|0.65|1.2762| +|x| 2| 15| 39| 967.2203750| 35|00:29:54|+0.23|0.49|1.0910| +|x| 4| 15| 39| 850.4155833| 45|00:35:47|+0.06|0.30|1.0296| +|=| 7| 15| 39| 780.3324676| 55|00:35:41|+0.09|0.27|0.9607| +|-| 3| 11| 39| 733.6103897| 65|00:35:39|+0.03|0.19|0.9862| +|=| 5| 11| 39| 800.3257633| 71|00:27:59|+0.01|0.15|0.9420| +|=| 1| 11| 39| 737.7850429| 77|00:35:52|+0.01|0.13|0.8202| +|=| 8| 11| 39| 689.1422603| 83|00:35:50|+0.01|0.12|0.7263| +|=| 6| 11| 39| 650.2280343| 89|00:35:51|+0.01|0.11|0.6517| +|=| 11| 11| 39| 700.5303083| 100|00:31:54|+0.03|0.12|0.6518| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 700.5303083 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 10 63 0.4858 75 3 41 28 52 29 + +# 2023-09-03 07:33:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 10 63 0.48580 75 3 41 28 52 +32 10 31 0.69919 64 14 66 0 22 +42 9 61 0.65285 84 34 55 63 19 +35 8 71 0.60717 73 26 100 9 17 +48 10 32 0.47350 67 5 52 33 7 +# 2023-09-03 07:33:33 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 39| 300.0000000| 14|01:04:29| NA| NA| NA| +|x| 1| 14| 39| 300.0000000| 23|00:35:52|+1.00|1.00|0.0000| +|x| 2| 14| 53| 600.1489377| 32|00:29:53|+0.00|0.33|0.3095| +|x| 9| 14| 53| 750.2012697| 41|00:28:57|+0.06|0.30|0.5047| +|=| 8| 14| 53| 660.1610158| 50|00:35:54|+0.05|0.24|0.3956| +|=| 3| 14| 53| 633.4675135| 59|00:35:39|+0.06|0.22|0.4625| +|=| 6| 14| 53| 585.8292973| 68|00:35:53|+0.05|0.19|0.3967| +|=| 10| 14| 39| 575.2076406| 77|00:35:43|+0.04|0.16|0.4888| +|=| 4| 14| 39| 566.8513703| 86|00:35:40|+0.04|0.15|0.5413| +|=| 5| 14| 39| 630.2280338| 95|00:29:10|+0.07|0.16|0.5717| +|-| 7| 9| 39| 618.3891221| 104|00:35:38|-0.06|0.04|0.5950| +|=| 11| 9| 39| 667.1527826| 108|00:26:27|-0.06|0.03|0.6359| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 667.1527826 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 10 63 0.4858 75 3 41 28 52 29 + +# 2023-09-03 14:42:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 10 63 0.48580 75 3 41 28 52 +32 10 31 0.69919 64 14 66 0 22 +48 10 32 0.47350 67 5 52 33 7 +42 9 61 0.65285 84 34 55 63 19 +58 10 73 0.47792 82 22 46 56 7 +# 2023-09-03 14:42:53 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 716318.5, CPU sys time: 73.286, Wall-clock time: 94755.19 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 10 63 0.48580 75 3 41 28 52 +32 10 31 0.69919 64 14 66 0 22 +48 10 32 0.47350 67 5 52 33 7 +42 9 61 0.65285 84 34 55 63 19 +58 10 73 0.47792 82 22 46 56 7 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +39 -K10 -k63 -M0.4858 -Q75 -G3 -D41 -O28 -L52 +32 -K10 -k31 -M0.69919 -Q64 -G14 -D66 -O0 -L22 +48 -K10 -k32 -M0.4735 -Q67 -G5 -D52 -O33 -L7 +42 -K9 -k61 -M0.65285 -Q84 -G34 -D55 -O63 -L19 +58 -K10 -k73 -M0.47792 -Q82 -G22 -D46 -O56 -L7 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 14:42:53 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-44.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-44.txt new file mode 100644 index 000000000..5ebf70d56 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-44.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 11:37:49 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1062412296 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 11:37:49 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 6| 500.0000030| 16|00:46:49| NA| NA| NA| +|x| 2| 16| 6| 850.3229745| 32|00:39:58|+0.31|0.65|0.8855| +|x| 3| 16| 6| 666.8819830| 48|00:47:42|+0.29|0.53|0.6757| +|x| 4| 16| 6| 625.1615058| 64|00:46:46|+0.38|0.54|0.5714| +|-| 5| 4| 6| 740.1688198| 80|00:39:35|+0.18|0.34|0.5738| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 740.1688198 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 58 0.83643 70 16 61 21 4 NA + +# 2023-09-02 15:18:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 58 0.83643 70 16 61 21 4 +10 10 31 0.36082 50 1 40 65 54 +5 10 121 0.55829 30 62 58 14 31 +16 9 41 0.10854 65 48 62 97 89 +# 2023-09-02 15:18:42 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 6| 300.0000000| 17|01:02:19| NA| NA| NA| +|x| 5| 17| 6| 750.0990380| 30|00:46:34|+0.00|0.50|0.4706| +|x| 1| 17| 6| 666.7326930| 43|00:53:39|+0.31|0.54|0.4803| +|x| 4| 17| 6| 625.0495382| 56|00:53:39|+0.31|0.48|0.5184| +|-| 2| 9| 6| 740.1688198| 69|00:46:12|+0.12|0.29|0.7492| +|=| 3| 9| 6| 666.8073498| 74|00:36:40|+0.09|0.24|0.6180| +|=| 7| 9| 6| 614.4062999| 83|00:36:40|+0.08|0.21|0.5261| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 614.4062999 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 58 0.83643 70 16 61 21 4 NA + +# 2023-09-02 20:54:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 58 0.83643 70 16 61 21 4 +10 10 31 0.36082 50 1 40 65 54 +5 10 121 0.55829 30 62 58 14 31 +19 8 28 0.99683 81 6 98 6 23 +17 6 63 0.46269 64 1 86 63 6 +# 2023-09-02 20:54:28 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 163 +# remainingBudget: 337 +# currentBudget: 112 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 10| 500.0000010| 18|01:05:10| NA| NA| NA| +|x| 7| 18| 10| 400.0000005| 31|00:55:00|+0.00|0.50|0.4722| +|x| 5| 18| 19| 666.8162717| 44|00:46:00|+0.18|0.46|0.5044| +|x| 1| 18| 6| 625.0541993| 57|00:53:24|+0.13|0.35|0.6252| +|=| 4| 18| 6| 600.0433742| 70|00:53:23|+0.15|0.32|0.5794| +|=| 3| 18| 6| 550.0361452| 83|00:55:00|+0.12|0.27|0.5122| +|=| 6| 18| 6| 514.3166959| 96|00:55:00|+0.10|0.23|0.4558| +|=| 2| 18| 6| 600.1078521| 109|00:46:04|+0.07|0.19|0.5365| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 600.1078521 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 58 0.83643 70 16 61 21 4 NA + +# 2023-09-03 04:03:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 58 0.83643 70 16 61 21 4 +10 10 31 0.36082 50 1 40 65 54 +32 7 46 0.85646 68 15 71 38 19 +19 8 28 0.99683 81 6 98 6 23 +42 9 117 0.75673 49 66 91 30 67 +# 2023-09-03 04:03:33 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 272 +# remainingBudget: 228 +# currentBudget: 114 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 42| 1200.285608| 17|00:56:29| NA| NA| NA| +|x| 4| 17| 51| 850.1659960| 29|00:36:36|+0.31|0.65|0.6514| +|x| 1| 17| 51| 733.4446553| 41|00:36:34|+0.22|0.48|0.7144| +|x| 5| 17| 51| 850.5000622| 53|00:32:59|+0.20|0.40|0.7293| +|-| 8| 12| 19| 780.1564292| 65|00:36:36|-0.06|0.15|1.0037| +|=| 7| 12| 19| 700.1303577| 72|00:36:40|-0.05|0.13|0.8219| +|=| 3| 12| 19| 642.9688780| 79|00:36:40|-0.04|0.11|0.6962| +|=| 2| 12| 6| 715.1599374| 86|00:28:33|-0.04|0.09|0.7345| +|=| 6| 12| 6| 669.0310554| 93|00:36:39|-0.04|0.08|0.6477| +|=| 10| 12| 51| 720.3137718| 105|00:33:30|+0.03|0.12|0.6574| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 720.3137718 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 10 85 0.94873 72 12 84 26 22 6 + +# 2023-09-03 10:14:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 10 85 0.94873 72 12 84 26 22 +6 10 58 0.83643 70 16 61 21 4 +10 10 31 0.36082 50 1 40 65 54 +49 8 58 0.79303 69 2 57 33 9 +19 8 28 0.99683 81 6 98 6 23 +# 2023-09-03 10:14:53 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 377 +# remainingBudget: 123 +# currentBudget: 123 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 51| 300.0000000| 15|01:05:59| NA| NA| NA| +|x| 7| 15| 51| 300.0000000| 25|00:36:41|+1.00|1.00|0.0000| +|x| 6| 15| 51| 300.0000000| 35|00:36:41|+1.00|1.00|0.0000| +|x| 8| 15| 57| 350.0000000| 45|00:36:40|+0.00|0.25|0.2333| +|=| 1| 15| 57| 380.0000000| 55|00:36:39|-0.00|0.20|0.3337| +|=| 4| 15| 57| 400.0000000| 65|00:36:40|+0.04|0.20|0.4175| +|-| 2| 11| 57| 514.3673739| 75|00:33:29|+0.00|0.15|0.5537| +|=| 9| 11| 57| 602.6095226| 81|00:29:38|-0.07|0.06|0.6088| +|=| 3| 11| 57| 568.9862423| 87|00:36:40|-0.06|0.06|0.5367| +|=| 10| 11| 63| 632.0479575| 93|00:29:54|-0.06|0.05|0.5643| +|=| 5| 11| 63| 683.7183156| 99|00:30:03|-0.05|0.04|0.6112| +|=| 12| 11| 63| 668.4084630| 110|00:36:40|-0.03|0.05|0.6249| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 63 mean value: 668.4084630 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +63 63 10 33 0.88897 76 5 41 20 4 6 + +# 2023-09-03 17:40:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +63 10 33 0.88897 76 5 41 20 4 +51 10 85 0.94873 72 12 84 26 22 +59 10 86 0.98660 51 39 76 38 22 +62 10 104 0.75641 69 14 91 6 31 +10 10 31 0.36082 50 1 40 65 54 +# 2023-09-03 17:40:43 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 487 +# timeUsed: 0 +# remainingBudget: 13 +# currentBudget: 13 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 820016.8, CPU sys time: 73.451, Wall-clock time: 108173.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +63 10 33 0.88897 76 5 41 20 4 +51 10 85 0.94873 72 12 84 26 22 +59 10 86 0.98660 51 39 76 38 22 +62 10 104 0.75641 69 14 91 6 31 +10 10 31 0.36082 50 1 40 65 54 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +63 -K10 -k33 -M0.88897 -Q76 -G5 -D41 -O20 -L4 +51 -K10 -k85 -M0.94873 -Q72 -G12 -D84 -O26 -L22 +59 -K10 -k86 -M0.9866 -Q51 -G39 -D76 -O38 -L22 +62 -K10 -k104 -M0.75641 -Q69 -G14 -D91 -O6 -L31 +10 -K10 -k31 -M0.36082 -Q50 -G1 -D40 -O65 -L54 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 17:40:43 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-45.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-45.txt new file mode 100644 index 000000000..02c3d7aa8 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-45.txt @@ -0,0 +1,296 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 12:22:02 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1116599526 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 12:22:02 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 500.0010740| 16|00:37:01| NA| NA| NA| +|x| 2| 16| 1| 400.0005370| 32|00:37:30|+0.57|0.79|0.4612| +|x| 3| 16| 13| 666.7964500| 48|00:34:23|+0.39|0.59|0.5943| +|x| 4| 16| 3| 801.3130573| 64|00:34:00|+0.23|0.42|0.6737| +|-| 5| 7| 3| 741.0549798| 80|00:37:02|+0.07|0.26|0.6587| +|=| 6| 7| 3| 667.5458165| 87|00:33:44|+0.06|0.21|0.5534| +|=| 7| 7| 13| 645.9025629| 94|00:33:02|+0.14|0.26|0.5424| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 645.9025629 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 7 119 0.66622 76 33 30 79 49 NA + +# 2023-09-02 16:28:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 7 119 0.66622 76 33 30 79 49 +3 9 12 0.94540 66 58 28 59 100 +2 7 93 0.52268 37 78 64 42 11 +4 7 64 0.24509 21 79 44 4 26 +1 7 2 0.19517 77 66 79 45 33 +# 2023-09-02 16:28:48 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 13| 300.0000000| 17|01:03:45| NA| NA| NA| +|x| 6| 17| 13| 300.0000000| 29|00:37:33|+1.00|1.00|0.0000| +|x| 4| 17| 24| 600.0780297| 41|00:35:04|+0.00|0.33|0.3137| +|x| 5| 17| 24| 575.0585223| 53|00:37:23|+0.22|0.41|0.3937| +|-| 3| 11| 18| 700.2566658| 65|00:35:07|+0.16|0.33|0.5228| +|-| 7| 9| 18| 666.8805548| 71|00:37:17|+0.26|0.38|0.5019| +|-| 1| 8| 18| 643.0405156| 75|00:37:13|+0.21|0.33|0.5637| +|-| 2| 4| 18| 600.1604511| 78|00:37:29|+0.10|0.21|0.4827| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 600.1604511 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 88 0.7851 47 22 72 15 13 2 + +# 2023-09-02 21:49:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 88 0.78510 47 22 72 15 13 +24 10 59 0.70450 84 6 57 89 51 +13 7 119 0.66622 76 33 30 79 49 +28 9 55 0.72091 44 46 12 98 48 +# 2023-09-02 21:49:42 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 172 +# remainingBudget: 328 +# currentBudget: 109 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 30| 1200.702936| 15|00:49:34| NA| NA| NA| +|x| 8| 15| 30| 750.3514680| 26|00:37:30|+0.00|0.50|0.4667| +|x| 2| 15| 30| 600.2343120| 37|00:37:30|+0.00|0.33|0.3111| +|x| 5| 15| 38| 575.9555330| 48|00:37:20|-0.04|0.22|0.4874| +|=| 4| 15| 24| 704.1512544| 59|00:34:06|-0.09|0.13|0.6020| +|=| 3| 15| 18| 783.8621723| 70|00:33:30|-0.04|0.13|0.6579| +|=| 1| 15| 18| 743.3104734| 81|00:37:30|+0.04|0.17|0.6485| +|=| 6| 15| 18| 687.8966642| 92|00:37:30|+0.03|0.15|0.5697| +|=| 7| 15| 18| 667.0192571| 103|00:37:20|+0.04|0.15|0.6242| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 667.0192571 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 88 0.7851 47 22 72 15 13 2 + +# 2023-09-03 03:31:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 88 0.78510 47 22 72 15 13 +32 8 69 0.89248 89 79 14 97 81 +38 9 35 0.56653 79 89 66 24 35 +13 7 119 0.66622 76 33 30 79 49 +24 10 59 0.70450 84 6 57 89 51 +# 2023-09-03 03:31:36 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 18| 300.0000000| 15|01:00:00| NA| NA| NA| +|x| 4| 15| 46| 750.1110345| 25|00:33:47|+0.00|0.50|1.1087| +|x| 3| 15| 46| 900.1386020| 35|00:33:00|+0.18|0.45|1.0064| +|x| 1| 15| 46| 800.1063860| 45|00:37:24|+0.19|0.40|0.8487| +|=| 7| 15| 18| 740.2567188| 55|00:37:19|+0.13|0.30|0.9010| +|-| 9| 10| 18| 817.1955498| 65|00:33:34|+0.03|0.19|0.7493| +|=| 8| 10| 46| 742.9600411| 70|00:37:35|+0.03|0.16|0.6424| +|=| 6| 10| 46| 687.5900360| 75|00:37:30|+0.02|0.14|0.5621| +|=| 2| 10| 46| 644.5244764| 80|00:37:31|+0.02|0.13|0.4997| +|=| 5| 10| 18| 630.3173314| 85|00:37:20|-0.01|0.09|0.5505| +|=| 11| 10| 46| 618.2520069| 95|00:37:31|-0.01|0.08|0.6049| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 618.2520069 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 10 118 0.8512 95 25 88 17 3 18 + +# 2023-09-03 10:34:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 10 118 0.85120 95 25 88 17 3 +18 9 88 0.78510 47 22 72 15 13 +47 10 29 0.71156 89 77 74 36 29 +13 7 119 0.66622 76 33 30 79 49 +24 10 59 0.70450 84 6 57 89 51 +# 2023-09-03 10:34:13 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 370 +# remainingBudget: 130 +# currentBudget: 130 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 51| 1200.488280| 15|00:57:37| NA| NA| NA| +|x| 5| 15| 51| 850.2441400| 25|00:37:33|+0.49|0.75|0.8532| +|x| 10| 15| 51| 666.8294267| 35|00:37:35|+0.25|0.50|0.5955| +|x| 7| 15| 51| 625.1220700| 45|00:37:31|+0.36|0.52|0.5868| +|-| 2| 11| 51| 560.0976560| 55|00:37:33|+0.20|0.36|0.4994| +|=| 1| 11| 51| 550.0813832| 61|00:37:30|+0.16|0.30|0.6011| +|=| 8| 11| 51| 514.3554713| 67|00:37:30|+0.13|0.26|0.5159| +|=| 11| 11| 55| 512.6680616| 73|00:37:30|+0.05|0.17|0.5831| +|=| 9| 11| 55| 589.1423493| 79|00:31:35|+0.03|0.14|0.6361| +|=| 3| 11| 55| 652.2723880| 85|00:32:18|-0.01|0.09|0.6639| +|=| 4| 11| 53| 702.0667042| 91|00:32:35|-0.02|0.07|0.6768| +|=| 6| 11| 53| 668.5611455| 97|00:37:33|-0.02|0.07|0.6191| +|=| 13| 11| 53| 640.2102882| 108|00:37:33|-0.02|0.06|0.5704| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 640.2102882 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 10 118 0.80163 72 28 91 43 0 46 + +# 2023-09-03 18:46:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 10 118 0.80163 72 28 91 43 0 +55 10 98 0.79903 96 30 82 7 20 +18 9 88 0.78510 47 22 72 15 13 +54 9 88 0.78844 55 33 98 34 3 +46 10 118 0.85120 95 25 88 17 3 +# 2023-09-03 18:46:12 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 478 +# remainingBudget: 22 +# currentBudget: 22 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 18| 1201.722190| 6|00:32:10| NA| NA| NA| +|x| 9| 6| 55| 1201.453655| 7|00:26:19|-0.20|0.40|1.0936| +|x| 11| 6| 55| 967.6357703| 8|00:35:42|-0.07|0.29|1.0600| +|x| 10| 6| 55| 800.7268277| 9|00:37:29|-0.05|0.22|0.7383| +|=| 13| 6| 55| 700.5814622| 10|00:37:29|-0.03|0.17|0.5680| +|=| 5| 6| 55| 667.1512185| 11|00:35:39|+0.01|0.18|0.6324| +|=| 8| 6| 55| 614.7010444| 12|00:37:30|+0.01|0.15|0.5311| +|=| 6| 6| 55| 575.3634139| 13|00:37:29|+0.01|0.13|0.4578| +|=| 7| 6| 55| 566.9897012| 14|00:35:40|+0.05|0.15|0.4853| +|=| 12| 6| 55| 630.4251804| 15|00:25:16|+0.01|0.11|0.5196| +|=| 3| 6| 18| 682.2309925| 16|00:25:52|-0.02|0.07|0.5685| +|=| 2| 6| 18| 650.3784097| 17|00:37:30|-0.02|0.07|0.5179| +|=| 1| 6| 55| 640.3611185| 18|00:35:44|-0.02|0.06|0.5259| +|=| 4| 6| 55| 681.8834985| 19|00:25:49|-0.05|0.02|0.5538| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 681.8834985 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 10 98 0.79903 96 30 82 7 20 46 + +# 2023-09-04 02:31:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 98 0.79903 96 30 82 7 20 +18 9 88 0.78510 47 22 72 15 13 +53 10 118 0.80163 72 28 91 43 0 +46 10 118 0.85120 95 25 88 17 3 +54 9 88 0.78844 55 33 98 34 3 +# 2023-09-04 02:31:57 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 834425.4, CPU sys time: 71.455, Wall-clock time: 137395 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 98 0.79903 96 30 82 7 20 +18 9 88 0.78510 47 22 72 15 13 +53 10 118 0.80163 72 28 91 43 0 +46 10 118 0.85120 95 25 88 17 3 +54 9 88 0.78844 55 33 98 34 3 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +55 -K10 -k98 -M0.79903 -Q96 -G30 -D82 -O7 -L20 +18 -K9 -k88 -M0.7851 -Q47 -G22 -D72 -O15 -L13 +53 -K10 -k118 -M0.80163 -Q72 -G28 -D91 -O43 -L0 +46 -K10 -k118 -M0.8512 -Q95 -G25 -D88 -O17 -L3 +54 -K9 -k88 -M0.78844 -Q55 -G33 -D98 -O34 -L3 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 02:31:57 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-46.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-46.txt new file mode 100644 index 000000000..6faf9d951 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-46.txt @@ -0,0 +1,294 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 15:32:45 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 147401832 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 15:32:45 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:38:23| NA| NA| NA| +|x| 2| 16| 6| 400.0000060| 32|00:38:01|+0.50|0.75|0.5423| +|x| 3| 16| 6| 667.0983293| 48|00:33:32|+0.56|0.71|0.4346| +|x| 4| 16| 6| 800.4686978| 64|00:34:12|+0.57|0.67|0.5246| +|-| 5| 6| 6| 700.3749582| 80|00:38:19|+0.27|0.42|0.4228| +|=| 6| 6| 6| 666.9791318| 86|00:37:59|+0.18|0.31|0.4873| +|=| 7| 6| 6| 614.5535416| 92|00:38:20|+0.15|0.27|0.4274| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 614.5535416 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 8 62 0.89356 90 5 86 55 17 NA + +# 2023-09-02 19:51:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 8 62 0.89356 90 5 86 55 17 +12 10 86 0.45751 59 60 66 90 34 +14 5 67 0.21655 82 76 72 7 21 +16 5 65 0.16633 40 39 75 49 14 +1 8 17 0.79082 32 45 82 10 2 +# 2023-09-02 19:51:35 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 1200.679939| 17|00:47:02| NA| NA| NA| +|x| 1| 17| 18| 750.3399695| 29|00:34:31|+0.29|0.64|0.7032| +|x| 5| 17| 18| 600.2266463| 41|00:34:31|+0.38|0.58|0.4688| +|x| 7| 17| 18| 525.1699848| 53|00:34:29|+0.44|0.58|0.3516| +|=| 6| 17| 26| 520.9981024| 65|00:34:30|+0.07|0.26|0.6766| +|=| 4| 17| 6| 634.6412325| 77|00:32:15|+0.12|0.27|0.6957| +|-| 2| 12| 6| 615.4067724| 89|00:34:30|-0.03|0.12|0.5529| +|=| 3| 12| 6| 688.6427979| 96|00:28:11|+0.03|0.15|0.5761| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 688.6427979 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 8 62 0.89356 90 5 86 55 17 NA + +# 2023-09-03 00:31:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 8 62 0.89356 90 5 86 55 17 +12 10 86 0.45751 59 60 66 90 34 +20 9 58 0.85467 100 55 96 74 27 +1 8 17 0.79082 32 45 82 10 2 +16 5 65 0.16633 40 39 75 49 14 +# 2023-09-03 00:31:37 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 20| 500.0000000| 16|00:56:48| NA| NA| NA| +|x| 8| 16| 1| 851.9489335| 27|00:33:30|-0.81|0.10|1.6317| +|x| 3| 16| 6| 969.5272443| 38|00:33:08|-0.29|0.14|1.1217| +|x| 4| 16| 6| 1027.290384| 49|00:33:46|-0.14|0.14|1.0183| +|=| 5| 16| 6| 881.8323072| 60|00:38:23|-0.11|0.11|0.7985| +|=| 6| 16| 6| 818.1935893| 71|00:38:07|-0.04|0.13|0.8117| +|=| 7| 16| 6| 744.1659337| 82|00:38:22|-0.03|0.12|0.6914| +|=| 2| 16| 6| 713.6451935| 93|00:38:06|+0.02|0.15|0.7114| +|=| 1| 16| 6| 667.6846164| 104|00:38:21|+0.02|0.13|0.6314| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 667.6846164 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 8 62 0.89356 90 5 86 55 17 NA + +# 2023-09-03 06:20:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 8 62 0.89356 90 5 86 55 17 +39 9 8 0.94363 99 35 76 13 7 +33 10 51 0.86977 82 54 74 51 51 +20 9 58 0.85467 100 55 96 74 27 +31 10 53 0.55249 84 17 75 96 37 +# 2023-09-03 06:20:16 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 292 +# remainingBudget: 208 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 6| 300.0000000| 14|00:57:33| NA| NA| NA| +|x| 9| 14| 33| 400.0000000| 23|00:38:07|+0.00|0.50|0.4643| +|x| 1| 14| 33| 366.6666667| 32|00:38:21|+0.00|0.33|0.3095| +|x| 4| 14| 43| 575.1500412| 41|00:32:22|-0.06|0.21|0.5100| +|=| 5| 14| 43| 520.1200330| 50|00:38:21|-0.04|0.17|0.3989| +|=| 6| 14| 43| 516.7667155| 59|00:38:07|+0.06|0.22|0.4830| +|=| 8| 14| 33| 617.4560567| 68|00:33:36|-0.04|0.11|0.5856| +|=| 7| 14| 33| 577.7740496| 77|00:38:21|-0.03|0.10|0.5055| +|=| 2| 14| 33| 569.1324888| 86|00:38:07|-0.03|0.08|0.5479| +|=| 3| 14| 43| 632.3140952| 95|00:32:39|-0.02|0.08|0.5792| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 632.3140952 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 8 50 0.86549 84 18 56 24 10 39 + +# 2023-09-03 12:45:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 8 50 0.86549 84 18 56 24 10 +6 8 62 0.89356 90 5 86 55 17 +42 8 83 0.93418 97 34 43 38 5 +33 10 51 0.86977 82 54 74 51 51 +39 9 8 0.94363 99 35 76 13 7 +# 2023-09-03 12:45:54 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 43| 500.0000000| 14|01:07:04| NA| NA| NA| +|x| 10| 14| 43| 400.0000000| 23|00:38:21|+0.00|0.50|0.4643| +|x| 6| 14| 6| 433.3333333| 32|00:38:06|+0.29|0.52|0.4988| +|x| 8| 14| 6| 626.8168980| 41|00:32:26|+0.21|0.41|0.5843| +|=| 1| 14| 6| 561.4535184| 50|00:38:20|+0.16|0.33|0.4899| +|-| 3| 10| 6| 668.0937613| 59|00:33:06|-0.04|0.13|0.6078| +|=| 7| 10| 6| 615.5089383| 64|00:34:30|-0.03|0.11|0.5199| +|=| 5| 10| 6| 576.0703210| 69|00:34:29|-0.03|0.10|0.4542| +|=| 2| 10| 55| 569.0923886| 74|00:34:29|-0.01|0.10|0.5042| +|=| 9| 10| 55| 562.1850511| 79|00:34:30|+0.01|0.11|0.5383| +|=| 4| 10| 6| 619.0146862| 84|00:27:24|-0.04|0.05|0.5867| +|=| 12| 10| 6| 667.5163687| 94|00:34:29|-0.03|0.05|0.6115| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 667.5163687 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 8 62 0.89356 90 5 86 55 17 NA + +# 2023-09-03 20:13:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 8 62 0.89356 90 5 86 55 17 +55 8 55 0.76380 97 12 75 33 0 +42 8 83 0.93418 97 34 43 38 5 +43 8 50 0.86549 84 18 56 24 10 +49 9 79 0.96320 71 15 58 32 37 +# 2023-09-03 20:13:15 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 481 +# remainingBudget: 19 +# currentBudget: 19 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 43| 1201.210136| 6|00:25:26| NA| NA| NA| +|x| 11| 6| 43| 850.6050680| 7|00:28:55|+0.00|0.50|0.4167| +|x| 1| 6| 43| 667.0700453| 8|00:30:40|+0.00|0.33|0.2778| +|x| 7| 6| 43| 575.3025340| 9|00:30:40|+0.00|0.25|0.2083| +|=| 9| 6| 43| 560.2420272| 10|00:28:52|+0.12|0.29|0.3278| +|-| 3| 5| 43| 667.0373500| 11|00:22:15|+0.20|0.34|0.3451| +|.| 6| 5| 43| 643.1748897| 11|00:00:00|+0.08|0.22|0.4562| +|.| 10| 5| 43| 600.2780285| 11|00:00:00|+0.07|0.19|0.3993| +|.| 2| 5| 43| 589.1360253| 11|00:00:00|+0.17|0.26|0.4159| +|.| 5| 5| 43| 560.2224228| 11|00:00:00|+0.15|0.23|0.3772| +|.| 12| 5| 43| 618.5474692| 11|00:00:00|+0.01|0.10|0.4393| +|.| 8| 5| 43| 668.7957380| 11|00:00:00|-0.05|0.03|0.4773| +|.| 4| 5| 43| 709.7037708| 11|00:00:00|-0.08|0.01|0.5186| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 709.7929316 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 8 55 0.7638 97 12 75 33 0 43 + +# 2023-09-03 23:00:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 8 55 0.76380 97 12 75 33 0 +42 8 83 0.93418 97 34 43 38 5 +43 8 50 0.86549 84 18 56 24 10 +6 8 62 0.89356 90 5 86 55 17 +49 9 79 0.96320 71 15 58 32 37 +# 2023-09-03 23:00:06 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 780378.2, CPU sys time: 55.274, Wall-clock time: 113240.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 8 55 0.76380 97 12 75 33 0 +42 8 83 0.93418 97 34 43 38 5 +43 8 50 0.86549 84 18 56 24 10 +6 8 62 0.89356 90 5 86 55 17 +49 9 79 0.96320 71 15 58 32 37 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +55 -K8 -k55 -M0.7638 -Q97 -G12 -D75 -O33 -L0 +42 -K8 -k83 -M0.93418 -Q97 -G34 -D43 -O38 -L5 +43 -K8 -k50 -M0.86549 -Q84 -G18 -D56 -O24 -L10 +6 -K8 -k62 -M0.89356 -Q90 -G5 -D86 -O55 -L17 +49 -K9 -k79 -M0.9632 -Q71 -G15 -D58 -O32 -L37 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 23:00:06 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-47.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-47.txt new file mode 100644 index 000000000..6d66125b6 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-47.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 23:33:08 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 884786277 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 23:33:08 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:43:08| NA| NA| NA| +|x| 2| 16| 2| 750.3122835| 32|00:39:36|-0.22|0.39|1.1454| +|x| 3| 16| 2| 666.8751293| 48|00:43:10|+0.15|0.44|0.8943| +|x| 4| 16| 2| 575.1563470| 64|00:43:10|+0.10|0.33|0.8041| +|-| 5| 11| 2| 560.1326198| 80|00:43:11|-0.02|0.18|0.5251| +|=| 6| 11| 2| 670.2905897| 91|00:28:34|-0.04|0.14|0.6764| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 670.2905897 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 8 49 0.89877 83 19 31 85 45 NA + +# 2023-09-03 03:34:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 8 49 0.89877 83 19 31 85 45 +11 6 45 0.11630 97 42 70 59 62 +15 5 93 0.93767 34 57 4 34 90 +8 7 11 0.65724 96 43 47 100 82 +14 8 82 0.32480 29 74 63 11 84 +# 2023-09-03 03:34:01 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 2| 300.0000000| 18|00:54:51| NA| NA| NA| +|x| 3| 18| 17| 400.0000005| 31|00:39:16|+0.21|0.60|0.6648| +|x| 1| 18| 17| 366.6666670| 44|00:39:16|+0.30|0.54|0.4432| +|x| 5| 18| 21| 400.0000187| 57|00:39:14|+0.19|0.39|0.6540| +|=| 2| 18| 2| 560.1326198| 70|00:36:20|+0.05|0.24|0.8031| +|=| 4| 18| 2| 516.7771832| 83|00:39:17|+0.09|0.24|0.6966| +|=| 6| 18| 18| 617.6754854| 96|00:36:26|+0.01|0.15|0.7892| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 617.6754854 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 10 71 0.16977 82 59 43 94 74 8 + +# 2023-09-03 08:18:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 10 71 0.16977 82 59 43 94 74 +17 8 81 0.86915 70 71 64 77 27 +24 8 87 0.47476 46 13 26 49 8 +2 8 49 0.89877 83 19 31 85 45 +15 5 93 0.93767 34 57 4 34 90 +# 2023-09-03 08:18:43 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 35| 500.0000060| 17|00:54:54| NA| NA| NA| +|x| 6| 17| 38| 850.7364675| 29|00:34:59|+0.27|0.64|0.7622| +|x| 5| 17| 38| 733.8243117| 41|00:39:07|+0.36|0.58|0.6930| +|x| 1| 17| 38| 625.3682338| 53|00:39:14|+0.24|0.43|0.5818| +|=| 2| 17| 38| 744.3951418| 65|00:35:38|+0.05|0.24|0.7243| +|=| 3| 17| 38| 703.6626203| 77|00:39:13|+0.09|0.24|0.7025| +|=| 7| 17| 38| 645.9965317| 89|00:39:15|+0.07|0.21|0.6138| +|=| 4| 17| 38| 602.7469653| 101|00:39:12|+0.06|0.18|0.5444| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 602.7469653 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 10 64 0.48943 80 43 18 90 75 18 + +# 2023-09-03 13:40:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 10 64 0.48943 80 43 18 90 75 +24 8 87 0.47476 46 13 26 49 8 +33 9 68 0.25348 81 59 25 62 52 +18 10 71 0.16977 82 59 43 94 74 +17 8 81 0.86915 70 71 64 77 27 +# 2023-09-03 13:40:19 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 43| 1200.325697| 16|00:59:53| NA| NA| NA| +|x| 6| 16| 33| 1202.021238| 27|00:36:34|+0.07|0.53|0.9328| +|x| 8| 16| 50| 967.9658073| 38|00:39:14|+0.03|0.35|0.9427| +|x| 5| 16| 50| 850.9772240| 49|00:39:15|+0.12|0.34|0.7889| +|=| 3| 16| 38| 784.3164046| 60|00:39:23|+0.12|0.30|0.7821| +|=| 7| 16| 38| 703.5970038| 71|00:39:20|+0.10|0.25|0.6776| +|=| 2| 16| 50| 772.2871669| 82|00:36:15|+0.04|0.18|0.7315| +|=| 4| 16| 50| 713.2512710| 93|00:39:22|+0.02|0.14|0.8000| +|=| 1| 16| 50| 667.3344631| 104|00:39:19|+0.02|0.13|0.7134| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 667.3344631 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 106 0.56019 26 32 7 36 25 24 + +# 2023-09-03 19:49:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 106 0.56019 26 32 7 36 25 +38 10 64 0.48943 80 43 18 90 75 +46 10 83 0.26987 90 63 33 73 58 +42 8 98 0.13993 64 17 44 8 7 +33 9 68 0.25348 81 59 25 62 52 +# 2023-09-03 19:49:00 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 392 +# remainingBudget: 108 +# currentBudget: 108 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 50| 300.0000000| 15|01:10:45| NA| NA| NA| +|x| 2| 15| 57| 750.1030815| 25|00:37:47|-0.07|0.46|1.1896| +|x| 3| 15| 57| 666.7385300| 35|00:39:20|-0.13|0.25|1.1581| +|x| 5| 15| 38| 630.1256967| 45|00:39:21|+0.07|0.30|0.9962| +|=| 4| 15| 38| 564.1005574| 55|00:39:17|+0.05|0.24|0.7844| +|=| 7| 15| 38| 520.0837978| 65|00:39:19|+0.04|0.20|0.6474| +|=| 8| 15| 38| 517.2147630| 75|00:39:22|+0.04|0.18|0.6630| +|=| 9| 15| 46| 600.1798525| 85|00:37:19|+0.04|0.16|0.6883| +|=| 1| 15| 46| 566.8265356| 95|00:39:23|+0.04|0.14|0.6131| +|=| 6| 15| 50| 630.6010168| 105|00:37:40|+0.07|0.16|0.6244| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 630.6010168 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 106 0.56019 26 32 7 36 25 24 + +# 2023-09-04 02:48:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 106 0.56019 26 32 7 36 25 +46 10 83 0.26987 90 63 33 73 58 +38 10 64 0.48943 80 43 18 90 75 +42 8 98 0.13993 64 17 44 8 7 +33 9 68 0.25348 81 59 25 62 52 +# 2023-09-04 02:48:39 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 873368, CPU sys time: 105.39, Wall-clock time: 98130.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 106 0.56019 26 32 7 36 25 +46 10 83 0.26987 90 63 33 73 58 +38 10 64 0.48943 80 43 18 90 75 +42 8 98 0.13993 64 17 44 8 7 +33 9 68 0.25348 81 59 25 62 52 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K10 -k106 -M0.56019 -Q26 -G32 -D7 -O36 -L25 +46 -K10 -k83 -M0.26987 -Q90 -G63 -D33 -O73 -L58 +38 -K10 -k64 -M0.48943 -Q80 -G43 -D18 -O90 -L75 +42 -K8 -k98 -M0.13993 -Q64 -G17 -D44 -O8 -L7 +33 -K9 -k68 -M0.25348 -Q81 -G59 -D25 -O62 -L52 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 02:48:39 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-48.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-48.txt new file mode 100644 index 000000000..e56cd6a4d --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-48.txt @@ -0,0 +1,293 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 12:56:08 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 772531597 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 12:56:08 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 6| 500.0023510| 16|00:46:52| NA| NA| NA| +|x| 2| 16| 6| 851.6712965| 32|00:40:34|+0.47|0.74|0.8341| +|x| 3| 16| 6| 667.7808643| 48|00:48:01|+0.38|0.58|0.7929| +|x| 4| 16| 6| 625.8393760| 64|00:46:53|+0.47|0.60|0.6280| +|-| 5| 11| 6| 743.7369654| 80|00:40:40|-0.04|0.17|0.7979| +|=| 6| 11| 6| 669.7808045| 91|00:40:03|-0.03|0.14|0.6532| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 669.7808045 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 7 96 0.95704 59 6 39 94 23 NA + +# 2023-09-02 17:19:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 7 96 0.95704 59 6 39 94 23 +10 8 28 0.24540 33 27 80 14 12 +16 6 69 0.93990 48 73 55 2 24 +13 5 14 0.87640 73 85 95 4 61 +11 6 63 0.55103 90 65 80 99 73 +# 2023-09-02 17:19:15 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 25| 500.0026610| 18|01:03:03| NA| NA| NA| +|x| 2| 18| 25| 850.8119870| 31|00:40:45|+0.49|0.75|0.5681| +|x| 3| 18| 25| 667.2079913| 44|00:44:00|+0.26|0.50|0.7447| +|x| 6| 18| 25| 575.4059935| 57|00:44:01|+0.22|0.42|0.6500| +|-| 5| 13| 25| 703.6563940| 70|00:40:44|-0.08|0.13|0.5844| +|=| 1| 13| 18| 670.2786572| 78|00:39:46|+0.01|0.17|0.6311| +|=| 4| 13| 18| 645.9531603| 86|00:39:45|+0.05|0.19|0.6438| +|=| 8| 13| 18| 715.2597093| 99|00:53:26|+0.06|0.18|0.6703| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 715.2597093 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 36 0.87537 84 59 54 55 45 16 + +# 2023-09-02 23:24:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 36 0.87537 84 59 54 55 45 +26 8 55 0.32470 40 17 75 86 20 +22 10 121 0.59959 41 78 97 15 44 +6 7 96 0.95704 59 6 39 94 23 +16 6 69 0.93990 48 73 55 2 24 +# 2023-09-02 23:24:50 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 190 +# remainingBudget: 310 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 18| 300.0000000| 15|01:04:01| NA| NA| NA| +|x| 4| 15| 16| 400.0000000| 25|00:39:43|+0.00|0.50|0.4667| +|x| 1| 15| 38| 433.3333483| 35|00:39:48|+0.03|0.35|0.6192| +|x| 5| 15| 33| 626.0862613| 45|00:35:35|-0.11|0.17|0.7087| +|=| 6| 15| 33| 560.8690090| 55|00:39:59|-0.08|0.14|0.5652| +|=| 3| 15| 33| 517.3908408| 65|00:40:00|-0.06|0.11|0.4702| +|=| 8| 15| 33| 614.9390796| 75|00:36:14|-0.02|0.13|0.5499| +|=| 7| 15| 33| 600.5737508| 85|00:39:45|+0.03|0.15|0.5695| +|=| 2| 15| 18| 669.1197416| 95|00:34:37|+0.05|0.16|0.6091| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 669.1197416 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 36 0.87537 84 59 54 55 45 16 + +# 2023-09-03 05:34:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 36 0.87537 84 59 54 55 45 +33 8 42 0.94262 83 44 23 87 49 +30 10 24 0.87435 46 73 16 63 14 +36 9 64 0.54985 78 83 83 97 33 +38 10 35 0.83337 69 66 51 72 53 +# 2023-09-03 05:34:36 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 30| 500.0000000| 15|01:10:40| NA| NA| NA| +|x| 7| 15| 30| 500.0000025| 25|00:39:57|+0.20|0.60|0.5684| +|x| 6| 15| 30| 433.3333350| 35|00:40:00|+0.10|0.40|0.5006| +|x| 8| 15| 30| 625.4735873| 45|00:36:28|+0.03|0.28|0.6303| +|=| 2| 15| 30| 744.4088214| 55|00:36:16|+0.07|0.25|0.6648| +|=| 3| 15| 30| 670.3406845| 65|00:39:59|+0.05|0.21|0.5676| +|=| 9| 15| 30| 617.4348724| 75|00:40:00|+0.05|0.18|0.4943| +|=| 5| 15| 30| 690.4465911| 85|00:36:12|+0.03|0.16|0.5479| +|=| 4| 15| 30| 669.2858608| 95|00:39:52|+0.07|0.17|0.5526| +|-| 1| 11| 30| 652.3588457| 105|00:39:57|-0.06|0.04|0.6644| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 652.3588457 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 10 24 0.87435 46 73 16 63 14 18 + +# 2023-09-03 12:34:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 10 24 0.87435 46 73 16 63 14 +33 8 42 0.94262 83 44 23 87 49 +45 10 37 0.96809 62 40 17 79 15 +49 9 68 0.60647 85 35 15 76 61 +18 9 36 0.87537 84 59 54 55 45 +# 2023-09-03 12:34:02 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 390 +# remainingBudget: 110 +# currentBudget: 110 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 56| 1200.376377| 14|00:57:10| NA| NA| NA| +|x| 3| 14| 56| 750.1881885| 23|00:39:59|+0.00|0.50|0.4643| +|x| 4| 14| 56| 666.7921257| 32|00:39:51|+0.20|0.47|0.6179| +|x| 6| 14| 56| 575.0940943| 41|00:40:00|+0.13|0.35|0.4637| +|-| 8| 8| 56| 700.4944610| 50|00:36:30|-0.01|0.19|0.5006| +|=| 2| 8| 56| 783.7720447| 53|00:27:31|+0.14|0.29|0.5008| +|=| 5| 8| 56| 846.1636366| 56|00:28:01|-0.05|0.10|0.6489| +|=| 10| 8| 30| 803.0398882| 59|00:35:49|-0.09|0.05|0.7111| +|=| 7| 8| 30| 769.3687901| 62|00:35:51|-0.03|0.08|0.7021| +|=| 9| 8| 30| 722.4319111| 65|00:36:00|-0.03|0.08|0.6297| +|=| 1| 8| 30| 702.2122565| 68|00:35:48|-0.03|0.07|0.6361| +|=| 12| 8| 30| 668.6945684| 76|00:40:00|-0.02|0.06|0.5831| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 668.6945684 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 10 24 0.87435 46 73 16 63 14 18 + +# 2023-09-03 20:06:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 10 24 0.87435 46 73 16 63 14 +50 9 19 0.76327 93 48 10 76 48 +56 9 31 0.97820 66 63 8 45 0 +33 8 42 0.94262 83 44 23 87 49 +49 9 68 0.60647 85 35 15 76 61 +# 2023-09-03 20:06:38 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 466 +# remainingBudget: 34 +# currentBudget: 34 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 7| 30| 300.0000000| 7|00:39:59| NA| NA| NA| +|x| 3| 7| 30| 300.0000000| 9|00:35:59|+1.00|1.00|0.0000| +|x| 1| 7| 50| 366.6666720| 11|00:35:00|-0.21|0.19|0.7225| +|x| 5| 7| 49| 575.0350678| 13|00:30:19|-0.19|0.11|0.8997| +|=| 4| 7| 50| 560.5167830| 15|00:35:01|-0.09|0.12|0.8035| +|=| 12| 7| 50| 517.0973192| 17|00:35:59|-0.03|0.14|0.7056| +|=| 11| 7| 49| 614.3638647| 19|00:30:24|-0.01|0.13|0.7332| +|=| 7| 7| 49| 600.0684889| 21|00:35:00|+0.01|0.13|0.7599| +|=| 8| 7| 56| 669.2206383| 23|00:30:07|+0.02|0.12|0.7595| +|=| 9| 7| 56| 632.2985745| 25|00:35:59|+0.01|0.11|0.7411| +|=| 10| 7| 30| 618.5622785| 27|00:35:02|-0.01|0.08|0.7637| +|=| 6| 7| 30| 592.0154219| 29|00:35:59|+0.00|0.08|0.7410| +|=| 2| 7| 50| 638.9142301| 31|00:30:20|-0.01|0.07|0.7986| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 638.9142301 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 9 19 0.76327 93 48 10 76 48 33 + +# 2023-09-04 03:31:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 19 0.76327 93 48 10 76 48 +56 9 31 0.97820 66 63 8 45 0 +30 10 24 0.87435 46 73 16 63 14 +33 8 42 0.94262 83 44 23 87 49 +49 9 68 0.60647 85 35 15 76 61 +# 2023-09-04 03:31:53 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 889236.6, CPU sys time: 68.681, Wall-clock time: 138945.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 19 0.76327 93 48 10 76 48 +56 9 31 0.97820 66 63 8 45 0 +30 10 24 0.87435 46 73 16 63 14 +33 8 42 0.94262 83 44 23 87 49 +49 9 68 0.60647 85 35 15 76 61 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K9 -k19 -M0.76327 -Q93 -G48 -D10 -O76 -L48 +56 -K9 -k31 -M0.9782 -Q66 -G63 -D8 -O45 -L0 +30 -K10 -k24 -M0.87435 -Q46 -G73 -D16 -O63 -L14 +33 -K8 -k42 -M0.94262 -Q83 -G44 -D23 -O87 -L49 +49 -K9 -k68 -M0.60647 -Q85 -G35 -D15 -O76 -L61 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 03:31:53 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-49.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-49.txt new file mode 100644 index 000000000..aeb2ef037 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-49.txt @@ -0,0 +1,287 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 17:06:38 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1823375004 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 17:06:38 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:49:14| NA| NA| NA| +|x| 2| 16| 8| 400.0014770| 32|00:49:17|+0.11|0.56|1.1212| +|x| 3| 16| 15| 667.3043223| 48|00:45:53|+0.22|0.48|0.9100| +|x| 4| 16| 15| 800.6763375| 64|00:46:33|+0.30|0.48|0.8732| +|-| 5| 10| 15| 740.5440938| 80|00:49:10|-0.17|0.06|1.0097| +|=| 6| 10| 15| 667.1200782| 90|00:41:00|-0.10|0.08|0.9272| +|=| 7| 10| 15| 614.6743527| 100|00:41:03|-0.04|0.11|0.8438| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 614.6743527 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 106 0.18999 83 24 3 70 75 NA + +# 2023-09-02 22:28:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 106 0.18999 83 24 3 70 75 +16 8 105 0.82014 95 84 97 88 4 +2 8 86 0.31641 87 17 79 61 54 +3 10 96 0.54997 35 32 9 94 92 +9 7 54 0.35009 41 19 14 89 19 +# 2023-09-02 22:28:52 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 15| 500.0013320| 16|01:01:17| NA| NA| NA| +|x| 6| 16| 15| 400.0006660| 27|00:40:52|+0.00|0.50|0.4688| +|x| 4| 16| 15| 666.9312383| 38|00:39:13|-0.05|0.30|0.6819| +|x| 5| 16| 15| 625.2022085| 49|00:40:50|+0.02|0.27|0.7133| +|=| 3| 16| 22| 744.3834066| 60|00:39:09|+0.01|0.21|0.7596| +|=| 1| 16| 22| 670.3195055| 71|00:40:52|+0.01|0.17|0.6314| +|=| 2| 16| 15| 643.2459716| 82|00:40:50|+0.01|0.15|0.6725| +|=| 7| 16| 15| 600.3402251| 93|00:40:52|+0.01|0.13|0.5880| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 600.3402251 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 106 0.18999 83 24 3 70 75 NA + +# 2023-09-03 04:12:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 106 0.18999 83 24 3 70 75 +17 8 62 0.64763 44 45 92 52 38 +22 8 55 0.43428 71 98 82 40 18 +16 8 105 0.82014 95 84 97 88 4 +27 7 72 0.80953 78 97 99 67 30 +# 2023-09-03 04:12:50 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 16| 1200.421645| 15|00:56:33| NA| NA| NA| +|x| 4| 15| 33| 1201.034911| 25|00:36:13|+0.18|0.59|0.9822| +|x| 6| 15| 29| 900.7501573| 35|00:41:01|-0.06|0.30|1.0500| +|x| 7| 15| 29| 750.5626180| 45|00:41:02|-0.03|0.23|1.0472| +|=| 5| 15| 16| 704.1719116| 55|00:40:59|+0.01|0.21|0.9659| +|=| 2| 15| 36| 667.2549927| 65|00:41:01|+0.04|0.20|0.9289| +|=| 8| 15| 35| 643.4726563| 75|00:41:00|+0.08|0.21|0.8523| +|=| 1| 15| 35| 600.5385743| 85|00:40:59|+0.09|0.20|0.8306| +|-| 3| 12| 35| 667.3242144| 95|00:34:40|-0.10|0.02|0.9476| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 667.3242144 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 8 40 0.19293 68 55 70 15 21 17 + +# 2023-09-03 10:26:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 8 40 0.19293 68 55 70 15 21 +32 9 108 0.34362 39 14 14 64 56 +34 7 68 0.61908 66 31 55 52 17 +36 10 63 0.32740 85 22 20 92 68 +16 8 105 0.82014 95 84 97 88 4 +# 2023-09-03 10:26:22 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 35| 300.0000000| 15|01:05:28| NA| NA| NA| +|x| 9| 15| 16| 750.2108225| 25|00:37:09|-0.29|0.35|1.1657| +|x| 6| 15| 16| 600.1405483| 35|00:40:54|-0.03|0.32|0.8334| +|x| 7| 15| 16| 525.1054112| 45|00:40:54|+0.15|0.36|0.6392| +|=| 3| 15| 42| 660.4987126| 55|00:38:43|+0.13|0.31|0.6566| +|=| 5| 15| 42| 633.7489272| 65|00:40:53|+0.05|0.21|0.7800| +|-| 2| 9| 42| 614.6419376| 75|00:40:57|+0.05|0.18|0.5184| +|=| 4| 9| 42| 687.9176811| 79|00:37:12|+0.05|0.17|0.5602| +|=| 8| 9| 42| 667.0379388| 83|00:40:51|+0.07|0.18|0.5885| +|=| 1| 9| 42| 630.3341449| 87|00:40:53|+0.07|0.16|0.5300| +|-| 11| 2| 42| 682.2044238| 96|00:36:48|+0.60|0.64|0.1273| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 682.2044238 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 10 124 0.94776 100 86 76 96 30 16 + +# 2023-09-03 18:07:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 10 124 0.94776 100 86 76 96 30 +35 8 40 0.19293 68 55 70 15 21 +# 2023-09-03 18:07:10 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 11 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 11| 42| 500.0000000| 11|00:40:54| NA| NA| NA| +|x| 3| 11| 42| 850.5791675| 20|00:35:01|-0.22|0.39|1.0765| +|x| 10| 11| 42| 667.0527783| 29|00:40:50|-0.11|0.26|0.6619| +|x| 9| 11| 42| 800.6233907| 38|00:36:07|-0.05|0.21|0.7857| +|=| 1| 11| 42| 700.4987126| 47|00:40:54|-0.04|0.17|0.6078| +|=| 7| 11| 42| 633.7489272| 56|00:40:54|-0.03|0.14|0.4961| +|=| 8| 11| 42| 614.6419376| 65|00:40:51|+0.03|0.17|0.5339| +|=| 6| 11| 42| 575.3116954| 74|00:40:50|+0.02|0.15|0.4653| +|=| 2| 11| 42| 566.9437292| 83|00:40:52|+0.09|0.19|0.4839| +|-| 5| 5| 42| 560.2493563| 92|00:40:50|+0.06|0.16|0.4824| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 667.0207218 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 10 124 0.94776 100 86 76 96 30 16 + +# 2023-09-04 00:45:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 10 124 0.94776 100 86 76 96 30 +35 8 40 0.19293 68 55 70 15 21 +52 10 119 0.81238 95 75 60 100 64 +50 8 119 0.96863 100 77 85 97 31 +53 8 82 0.84530 88 81 92 94 11 +# 2023-09-04 00:45:18 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 476 +# remainingBudget: 24 +# currentBudget: 24 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 42| 1200.184538| 6|00:35:22| NA| NA| NA| +|x| 12| 6| 42| 850.0922690| 7|00:36:38|+0.55|0.78|0.6200| +|x| 10| 6| 42| 666.7281793| 8|00:36:52|+0.28|0.52|0.4844| +|x| 1| 6| 42| 575.0461345| 9|00:36:50|+0.18|0.39|0.3811| +|=| 11| 6| 42| 700.2183502| 13|00:34:33|+0.26|0.41|0.4235| +|-| 8| 5| 42| 666.8486252| 14|00:36:49|+0.35|0.46|0.3769| +|.| 9| 5| 42| 743.2038541| 14|00:00:00|+0.16|0.28|0.5077| +|.| 5| 5| 42| 712.8033724| 14|00:00:00|+0.24|0.33|0.4784| +|.| 2| 5| 42| 689.1585532| 14|00:00:00|+0.29|0.37|0.4772| +|.| 3| 5| 42| 740.3585314| 14|00:00:00|+0.19|0.27|0.5578| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 708.0333231 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 10 124 0.94776 100 86 76 96 30 16 + +# 2023-09-04 04:22:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 10 124 0.94776 100 86 76 96 30 +35 8 40 0.19293 68 55 70 15 21 +52 10 119 0.81238 95 75 60 100 64 +50 8 119 0.96863 100 77 85 97 31 +53 8 82 0.84530 88 81 92 94 11 +# 2023-09-04 04:22:25 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 883495.9, CPU sys time: 71.777, Wall-clock time: 126946.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 10 124 0.94776 100 86 76 96 30 +35 8 40 0.19293 68 55 70 15 21 +52 10 119 0.81238 95 75 60 100 64 +50 8 119 0.96863 100 77 85 97 31 +53 8 82 0.84530 88 81 92 94 11 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +42 -K10 -k124 -M0.94776 -Q100 -G86 -D76 -O96 -L30 +35 -K8 -k40 -M0.19293 -Q68 -G55 -D70 -O15 -L21 +52 -K10 -k119 -M0.81238 -Q95 -G75 -D60 -O100 -L64 +50 -K8 -k119 -M0.96863 -Q100 -G77 -D85 -O97 -L31 +53 -K8 -k82 -M0.8453 -Q88 -G81 -D92 -O94 -L11 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 04:22:25 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-5.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-5.txt new file mode 100644 index 000000000..bd6e5f528 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-5.txt @@ -0,0 +1,300 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 21:37:56 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1364655806 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 21:37:56 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 9| 500.0252250| 16|00:04:01| NA| NA| NA| +|x| 2| 16| 9| 400.0126125| 32|00:04:10|+0.00|0.50|1.0717| +|x| 3| 16| 1| 668.5574483| 48|00:03:10|+0.23|0.49|0.8071| +|x| 4| 16| 1| 576.4180862| 64|00:04:10|+0.32|0.49|0.7026| +|-| 5| 10| 1| 561.1600244| 80|00:04:01|-0.08|0.13|0.9681| +|=| 6| 10| 7| 671.5661810| 90|00:03:07|-0.01|0.16|0.9485| +|=| 7| 10| 9| 647.0269080| 100|00:04:00|+0.03|0.17|0.8953| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 647.0269080 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 8 89 0.41747 67 42 25 7 22 NA + +# 2023-09-01 22:04:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 8 89 0.41747 67 42 25 7 22 +7 7 113 0.16791 45 24 16 3 27 +1 3 45 0.57655 75 70 79 98 49 +15 9 76 0.12774 98 45 7 0 53 +14 4 87 0.40930 95 21 22 35 37 +# 2023-09-01 22:04:39 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 25| 1218.970177| 16|00:04:31| NA| NA| NA| +|x| 7| 16| 1| 860.6679195| 27|00:04:05|-0.08|0.46|0.9076| +|x| 1| 16| 1| 740.4801607| 38|00:04:06|+0.20|0.47|0.7326| +|x| 2| 16| 1| 630.3601205| 49|00:04:09|+0.09|0.32|0.8027| +|-| 6| 10| 9| 745.7194678| 60|00:03:22|-0.11|0.11|1.0204| +|=| 3| 10| 1| 824.8786830| 65|00:02:55|-0.12|0.07|0.9750| +|=| 4| 10| 1| 749.8960140| 70|00:04:09|-0.09|0.07|0.9213| +|=| 5| 10| 1| 718.6749844| 75|00:04:04|-0.04|0.09|0.8835| +|=| 9| 10| 1| 672.1555417| 85|00:04:09|-0.02|0.10|0.8422| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 1 mean value: 672.1555417 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +1 1 3 45 0.57655 75 70 79 98 49 NA + +# 2023-09-01 22:40:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +1 3 45 0.57655 75 70 79 98 49 +9 8 89 0.41747 67 42 25 7 22 +24 9 19 0.38023 93 25 39 16 40 +7 7 113 0.16791 45 24 16 3 27 +27 10 116 0.26343 68 30 25 48 1 +# 2023-09-01 22:40:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 31| 1222.216731| 15|00:03:31| NA| NA| NA| +|x| 5| 15| 30| 861.4671555| 25|00:03:36|+0.39|0.69|0.5630| +|x| 2| 15| 31| 674.0999700| 35|00:03:45|+0.03|0.35|0.9441| +|x| 1| 15| 36| 630.8952138| 45|00:03:37|+0.05|0.29|0.7879| +|=| 8| 15| 36| 749.0044446| 55|00:02:24|+0.16|0.33|0.7069| +|=| 9| 15| 36| 674.1703705| 65|00:03:45|+0.10|0.25|0.7656| +|=| 4| 15| 36| 620.7174604| 75|00:03:44|+0.08|0.21|0.7570| +|=| 3| 15| 36| 693.9296056| 85|00:02:34|+0.09|0.20|0.7999| +|-| 7| 10| 36| 672.3872901| 95|00:03:36|+0.02|0.13|0.8816| +|=| 6| 10| 36| 725.5258716| 100|00:02:16|+0.02|0.11|0.8950| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 725.5258716 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 81 0.65705 70 10 42 36 14 27 + +# 2023-09-01 23:13:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 81 0.65705 70 10 42 36 14 +1 3 45 0.57655 75 70 79 98 49 +33 4 24 0.63124 77 91 66 67 80 +30 8 124 0.29278 61 13 6 35 20 +27 10 116 0.26343 68 30 25 48 1 +# 2023-09-01 23:13:06 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 36| 300.0000000| 14|00:04:09| NA| NA| NA| +|x| 3| 14| 1| 752.7838510| 23|00:02:29|-0.20|0.40|1.3259| +|x| 7| 14| 36| 668.8211293| 32|00:03:05|+0.02|0.35|1.0161| +|x| 10| 14| 42| 810.5407210| 41|00:02:28|+0.03|0.27|0.9873| +|=| 2| 14| 42| 708.4325768| 50|00:03:19|+0.02|0.22|0.9503| +|=| 6| 14| 36| 788.9644410| 59|00:02:26|+0.00|0.17|0.9723| +|=| 9| 14| 36| 719.1123780| 68|00:03:19|+0.02|0.16|0.9213| +|=| 4| 14| 36| 666.7233307| 77|00:03:19|+0.05|0.17|0.8610| +|=| 5| 14| 36| 648.2004548| 86|00:03:05|+0.04|0.15|0.8861| +|=| 8| 14| 36| 705.5245461| 95|00:02:29|+0.05|0.15|0.8856| +|-| 1| 7| 36| 686.8417015| 104|00:03:05|-0.02|0.08|0.5481| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 686.8417015 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 81 0.65705 70 10 42 36 14 27 + +# 2023-09-01 23:46:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 81 0.65705 70 10 42 36 14 +1 3 45 0.57655 75 70 79 98 49 +42 2 37 0.64422 71 47 49 64 6 +44 2 16 0.46528 63 75 95 97 37 +46 3 35 0.67993 59 74 59 58 64 +# 2023-09-01 23:46:25 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 53| 500.0535490| 13|00:03:33| NA| NA| NA| +|x| 2| 13| 53| 400.0267745| 21|00:03:20|+0.57|0.78|0.8914| +|x| 1| 13| 53| 433.3537290| 29|00:03:07|+0.36|0.57|0.9050| +|x| 6| 13| 36| 625.9675670| 37|00:01:57|+0.40|0.55|0.7607| +|-| 8| 7| 36| 745.0623272| 45|00:01:57|+0.04|0.24|0.6102| +|=| 11| 7| 36| 670.8852727| 47|00:03:20|+0.04|0.20|0.5211| +|=| 10| 7| 53| 750.0110081| 49|00:01:52|-0.02|0.12|0.5882| +|=| 7| 7| 53| 718.7631896| 51|00:03:07|+0.03|0.15|0.6083| +|=| 9| 7| 53| 672.2339463| 53|00:03:20|+0.03|0.13|0.5446| +|=| 5| 7| 36| 654.8928002| 55|00:03:06|+0.01|0.11|0.5609| +|=| 3| 7| 36| 705.0311476| 57|00:01:47|+0.01|0.10|0.5872| +|=| 4| 7| 36| 671.2785520| 59|00:03:19|+0.01|0.09|0.5412| +|=| 13| 7| 36| 658.1085806| 66|00:03:32|+0.04|0.12|0.5510| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 658.1085806 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 81 0.65705 70 10 42 36 14 27 + +# 2023-09-02 00:23:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 81 0.65705 70 10 42 36 14 +53 8 33 0.69858 91 15 54 34 8 +42 2 37 0.64422 71 47 49 64 6 +46 3 35 0.67993 59 74 59 58 64 +1 3 45 0.57655 75 70 79 98 49 +# 2023-09-02 00:23:48 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 455 +# remainingBudget: 45 +# currentBudget: 45 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 7| 36| 300.0000000| 7|00:03:45| NA| NA| NA| +|x| 4| 7| 36| 300.0000000| 9|00:03:19|+1.00|1.00|0.0000| +|x| 11| 7| 36| 300.0000000| 11|00:03:20|+1.00|1.00|0.0000| +|x| 5| 7| 36| 350.0043617| 13|00:03:13|+0.00|0.25|0.2143| +|=| 1| 7| 36| 380.0061404| 15|00:03:12|+0.05|0.24|0.2851| +|=| 10| 7| 53| 520.3027957| 17|00:02:18|-0.00|0.16|0.3812| +|=| 13| 7| 36| 517.6642541| 19|00:03:12|+0.09|0.22|0.3833| +|=| 12| 7| 53| 515.2526506| 21|00:03:12|+0.14|0.25|0.4231| +|=| 8| 7| 36| 593.9083394| 23|00:02:20|+0.05|0.15|0.5109| +|=| 6| 7| 36| 654.8948160| 25|00:02:27|+0.09|0.18|0.5024| +|=| 2| 7| 36| 622.6316509| 27|00:03:20|+0.08|0.16|0.4656| +|-| 7| 6| 36| 612.4164105| 29|00:03:11|+0.03|0.11|0.5382| +|=| 3| 6| 36| 658.1085806| 30|00:02:16|+0.00|0.08|0.5671| +|=| 9| 6| 36| 632.5293963| 31|00:03:20|+0.00|0.08|0.5847| +|=| 15| 6| 36| 671.7626605| 37|00:02:23|+0.03|0.10|0.5787| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 671.7626605 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 81 0.65705 70 10 42 36 14 27 + +# 2023-09-02 01:08:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 81 0.65705 70 10 42 36 14 +53 8 33 0.69858 91 15 54 34 8 +55 8 74 0.60981 89 24 36 30 3 +42 2 37 0.64422 71 47 49 64 6 +1 3 45 0.57655 75 70 79 98 49 +# 2023-09-02 01:08:42 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 53099.82, CPU sys time: 7.04, Wall-clock time: 12645.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 81 0.65705 70 10 42 36 14 +53 8 33 0.69858 91 15 54 34 8 +55 8 74 0.60981 89 24 36 30 3 +42 2 37 0.64422 71 47 49 64 6 +1 3 45 0.57655 75 70 79 98 49 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +36 -K9 -k81 -M0.65705 -Q70 -G10 -D42 -O36 -L14 +53 -K8 -k33 -M0.69858 -Q91 -G15 -D54 -O34 -L8 +55 -K8 -k74 -M0.60981 -Q89 -G24 -D36 -O30 -L3 +42 -K2 -k37 -M0.64422 -Q71 -G47 -D49 -O64 -L6 +1 -K3 -k45 -M0.57655 -Q75 -G70 -D79 -O98 -L49 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 01:08:42 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-50.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-50.txt new file mode 100644 index 000000000..8a8955262 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-50.txt @@ -0,0 +1,300 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 13:28:37 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 278907327 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 13:28:37 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 500.0059750| 16|00:40:36| NA| NA| NA| +|x| 2| 16| 2| 400.0029875| 32|00:41:40|+0.00|0.50|0.4687| +|x| 3| 16| 2| 667.8588957| 48|00:31:53|-0.01|0.32|0.6701| +|x| 4| 16| 6| 801.0977015| 64|00:31:57|-0.07|0.20|0.7857| +|=| 5| 16| 2| 744.8122606| 80|00:40:37|+0.07|0.25|0.7296| +|=| 6| 16| 2| 670.6768838| 96|00:41:39|+0.05|0.21|0.6114| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 670.6768838 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 9 15 0.28718 81 68 37 66 11 NA + +# 2023-09-02 17:17:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 9 15 0.28718 81 68 37 66 11 +6 5 66 0.64033 51 55 26 11 9 +15 7 93 0.80296 50 97 16 22 82 +16 4 118 0.30545 34 51 64 19 86 +3 5 105 0.52312 70 17 26 66 32 +# 2023-09-02 17:17:02 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 22| 1201.104037| 18|00:47:11| NA| NA| NA| +|x| 5| 18| 22| 850.5539620| 31|00:40:51|+0.57|0.78|0.5014| +|x| 2| 18| 22| 667.0359747| 44|00:41:39|+0.37|0.58|0.6545| +|x| 6| 18| 22| 575.2769810| 57|00:41:39|+0.35|0.51|0.5709| +|-| 1| 9| 22| 560.2215852| 70|00:41:00|+0.16|0.33|0.5060| +|=| 4| 9| 22| 667.0874788| 74|00:32:17|+0.14|0.28|0.5496| +|=| 3| 9| 22| 743.3343141| 78|00:32:10|+0.12|0.25|0.6264| +|=| 8| 9| 22| 712.9175393| 87|00:40:51|+0.10|0.22|0.6580| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 712.9175393 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 6 107 0.84961 91 73 16 12 43 15 + +# 2023-09-02 22:34:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 6 107 0.84961 91 73 16 12 43 +29 6 93 0.90774 37 59 36 21 23 +24 7 85 0.49571 84 88 22 9 16 +2 9 15 0.28718 81 68 37 66 11 +28 10 16 0.39860 75 62 80 66 25 +# 2023-09-02 22:34:45 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 22| 300.0000000| 16|01:10:49| NA| NA| NA| +|x| 6| 16| 22| 300.0000000| 27|00:41:40|+1.00|1.00|0.0000| +|x| 1| 16| 24| 366.6666667| 38|00:41:21|+0.08|0.39|0.7175| +|x| 4| 16| 33| 575.0349070| 49|00:31:28|+0.19|0.39|0.6827| +|-| 8| 12| 34| 560.0970778| 60|00:41:23|+0.09|0.27|0.5348| +|=| 2| 12| 33| 516.6900085| 67|00:41:40|+0.07|0.22|0.4482| +|=| 5| 12| 33| 514.3057216| 74|00:41:07|+0.06|0.19|0.5447| +|=| 7| 12| 34| 600.3311269| 81|00:32:22|+0.05|0.17|0.5858| +|=| 3| 12| 22| 667.0378127| 88|00:31:31|+0.01|0.12|0.6336| +|=| 10| 12| 22| 720.5029601| 100|00:35:37|+0.03|0.13|0.6573| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 720.5029601 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 6 107 0.84961 91 73 16 12 43 15 + +# 2023-09-03 05:23:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 6 107 0.84961 91 73 16 12 43 +34 10 54 0.30510 94 67 39 48 12 +33 8 48 0.59088 96 57 50 47 22 +35 8 69 0.59644 93 55 16 54 68 +2 9 15 0.28718 81 68 37 66 11 +# 2023-09-03 05:23:47 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 283 +# remainingBudget: 217 +# currentBudget: 108 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 22| 300.0000000| 14|00:45:49| NA| NA| NA| +|x| 4| 14| 33| 750.0698135| 23|00:27:53|+0.29|0.65|0.6394| +|x| 3| 14| 22| 900.7440910| 32|00:29:07|+0.07|0.38|0.9233| +|x| 8| 14| 43| 800.6322665| 41|00:37:05|+0.13|0.35|0.8805| +|-| 2| 12| 43| 700.5058132| 50|00:37:31|-0.04|0.17|0.6307| +|=| 9| 12| 43| 633.7548443| 57|00:37:31|-0.03|0.14|0.5121| +|=| 1| 12| 22| 614.6046271| 64|00:36:54|+0.00|0.15|0.5728| +|=| 5| 12| 33| 602.5532342| 71|00:37:03|+0.04|0.16|0.5775| +|=| 6| 12| 33| 568.9362082| 78|00:37:31|+0.03|0.14|0.5128| +|=| 7| 12| 22| 630.3340314| 85|00:28:50|+0.07|0.16|0.5581| +|=| 10| 12| 22| 682.2754183| 92|00:28:52|+0.03|0.12|0.5941| +|=| 12| 12| 47| 668.4905016| 104|00:41:15|-0.01|0.08|0.6342| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 47 mean value: 668.4905016 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +47 47 8 72 0.87145 69 77 32 37 37 22 + +# 2023-09-03 12:29:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +47 8 72 0.87145 69 77 32 37 37 +22 6 107 0.84961 91 73 16 12 43 +43 7 98 0.53455 85 58 14 11 2 +33 8 48 0.59088 96 57 50 47 22 +34 10 54 0.30510 94 67 39 48 12 +# 2023-09-03 12:29:15 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 34| 500.0000010| 13|00:44:40| NA| NA| NA| +|x| 8| 13| 52| 500.0000070| 21|00:40:54|+0.09|0.54|1.0526| +|x| 2| 13| 52| 433.3333380| 29|00:41:40|+0.01|0.34|1.0725| +|x| 12| 13| 52| 450.0000035| 37|00:40:44|+0.11|0.33|0.9898| +|=| 7| 13| 52| 600.0454510| 45|00:30:26|+0.03|0.23|1.0032| +|=| 11| 13| 52| 550.0378758| 53|00:41:40|+0.05|0.21|0.9702| +|=| 6| 13| 52| 514.3181793| 61|00:41:40|+0.08|0.21|0.9418| +|-| 3| 8| 52| 600.1431578| 69|00:30:33|+0.09|0.20|0.4734| +|=| 9| 8| 52| 566.7939180| 72|00:41:39|+0.08|0.18|0.4290| +|!| 10| 8| 47| 630.1772573| 75|00:30:14|+0.13|0.21|0.4377| +|!| 5| 8| 52| 618.3332614| 78|00:39:29|+0.10|0.19|0.4700| +|=| 1| 8| 52| 608.4726198| 81|00:39:32|+0.04|0.12|0.5202| +|=| 4| 8| 52| 654.0522525| 84|00:29:55|+0.01|0.09|0.5736| +|=| 14| 8| 52| 694.5393534| 92|00:32:33|-0.00|0.07|0.6148| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 694.5393534 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 9 75 0.88807 97 91 14 28 40 22 + +# 2023-09-03 21:15:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 9 75 0.88807 97 91 14 28 40 +56 10 87 0.89697 84 67 20 37 57 +47 8 72 0.87145 69 77 32 37 37 +50 10 77 0.64798 53 58 35 40 34 +33 8 48 0.59088 96 57 50 47 22 +# 2023-09-03 21:15:01 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 479 +# remainingBudget: 21 +# currentBudget: 21 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 6| 52| 300.0000000| 6|00:41:39| NA| NA| NA| +|x| 13| 6| 52| 400.0000070| 7|00:31:19|+0.00|0.50|0.4167| +|x| 11| 6| 52| 366.6666713| 8|00:33:20|+0.00|0.33|0.2778| +|x| 8| 6| 52| 400.0000035| 9|00:31:17|-0.12|0.16|0.4647| +|=| 2| 6| 52| 380.0000028| 10|00:33:20|-0.09|0.13|0.3622| +|=| 14| 6| 47| 516.7341477| 11|00:23:57|-0.10|0.08|0.4655| +|=| 7| 6| 52| 617.2998457| 12|00:24:00|-0.07|0.08|0.4923| +|=| 10| 6| 47| 687.7390986| 13|00:23:53|+0.01|0.13|0.5010| +|=| 6| 6| 47| 644.6569766| 14|00:33:20|+0.01|0.12|0.4475| +|=| 4| 6| 47| 702.2018654| 15|00:24:08|-0.08|0.03|0.4984| +|=| 3| 6| 47| 747.4801952| 16|00:23:50|-0.04|0.06|0.5036| +|=| 9| 6| 47| 710.1901789| 17|00:33:20|-0.03|0.05|0.4639| +|=| 1| 6| 47| 694.0223672| 18|00:31:25|-0.05|0.03|0.5160| +|=| 5| 6| 52| 680.2536391| 19|00:31:18|-0.05|0.02|0.5428| +|=| 12| 6| 52| 668.2367298| 20|00:31:24|-0.03|0.04|0.5681| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 668.2367298 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 9 75 0.88807 97 91 14 28 40 22 + +# 2023-09-04 04:46:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 9 75 0.88807 97 91 14 28 40 +56 10 87 0.89697 84 67 20 37 57 +47 8 72 0.87145 69 77 32 37 37 +58 8 107 0.96284 57 69 52 37 49 +50 10 77 0.64798 53 58 35 40 34 +# 2023-09-04 04:46:40 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 782393.9, CPU sys time: 72.558, Wall-clock time: 141482.9 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 9 75 0.88807 97 91 14 28 40 +56 10 87 0.89697 84 67 20 37 57 +47 8 72 0.87145 69 77 32 37 37 +58 8 107 0.96284 57 69 52 37 49 +50 10 77 0.64798 53 58 35 40 34 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +52 -K9 -k75 -M0.88807 -Q97 -G91 -D14 -O28 -L40 +56 -K10 -k87 -M0.89697 -Q84 -G67 -D20 -O37 -L57 +47 -K8 -k72 -M0.87145 -Q69 -G77 -D32 -O37 -L37 +58 -K8 -k107 -M0.96284 -Q57 -G69 -D52 -O37 -L49 +50 -K10 -k77 -M0.64798 -Q53 -G58 -D35 -O40 -L34 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 04:46:40 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-51.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-51.txt new file mode 100644 index 000000000..3f79ba634 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-51.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 23:52:13 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1465162183 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 23:52:13 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:42:31| NA| NA| NA| +|x| 2| 16| 12| 400.0001765| 32|00:42:27|+0.63|0.81|0.7208| +|x| 3| 16| 5| 667.5634273| 48|00:39:10|+0.46|0.64|0.7364| +|x| 4| 16| 5| 805.7490472| 64|00:39:23|+0.21|0.41|0.8467| +|-| 5| 12| 5| 744.6069510| 80|00:42:27|-0.13|0.10|0.8175| +|=| 6| 12| 5| 670.5057925| 92|00:42:30|-0.09|0.09|0.8018| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 670.5057925 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 4 97 0.97561 84 5 82 71 75 NA + +# 2023-09-03 04:00:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 4 97 0.97561 84 5 82 71 75 +11 3 57 0.59245 100 15 92 13 54 +8 5 43 0.33450 94 88 8 86 8 +2 4 85 0.77065 54 79 37 65 16 +12 10 111 0.62282 15 8 12 5 36 +# 2023-09-03 04:00:45 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 5| 300.0000000| 18|00:50:59| NA| NA| NA| +|x| 2| 18| 29| 400.0000000| 31|00:38:14|-0.06|0.47|1.0000| +|x| 1| 18| 29| 366.6666667| 44|00:38:15|+0.14|0.43|0.6666| +|x| 3| 18| 29| 575.2920750| 57|00:34:21|+0.13|0.35|0.8299| +|=| 4| 18| 29| 700.3934170| 70|00:34:01|+0.13|0.30|0.8767| +|-| 5| 11| 29| 666.9945142| 83|00:38:14|+0.04|0.20|0.6208| +|=| 6| 11| 29| 614.5667264| 89|00:33:59|+0.03|0.17|0.5300| +|=| 8| 11| 29| 687.7796791| 100|00:30:47|+0.07|0.19|0.5612| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 687.7796791 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 8 86 0.85664 61 35 80 31 7 2 + +# 2023-09-03 08:59:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 8 86 0.85664 61 35 80 31 7 +20 8 51 0.46094 48 36 66 7 66 +27 5 95 0.50217 73 18 15 1 42 +12 10 111 0.62282 15 8 12 5 36 +8 5 43 0.33450 94 88 8 86 8 +# 2023-09-03 08:59:40 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 20| 500.0000000| 15|00:54:20| NA| NA| NA| +|x| 8| 15| 36| 850.8180050| 25|00:34:45|-0.19|0.40|1.1396| +|x| 5| 15| 29| 733.4268967| 35|00:42:07|+0.21|0.47|0.8670| +|x| 3| 15| 29| 850.3622475| 45|00:34:30|+0.14|0.36|0.8790| +|-| 2| 11| 29| 780.2897980| 55|00:42:08|+0.04|0.23|0.7303| +|=| 6| 11| 29| 700.2414983| 61|00:42:30|+0.03|0.19|0.6384| +|=| 7| 11| 29| 643.0641414| 67|00:42:30|+0.03|0.17|0.5642| +|=| 4| 11| 29| 712.7809719| 73|00:31:08|+0.05|0.17|0.6428| +|=| 1| 11| 29| 666.9164194| 79|00:42:30|+0.05|0.15|0.5758| +|-| 10| 6| 29| 650.2247791| 90|00:42:09|-0.02|0.08|0.6190| +|=| 11| 6| 29| 618.3861628| 96|00:42:29|-0.02|0.07|0.5595| +|=| 12| 6| 29| 666.9940312| 102|00:30:21|+0.01|0.09|0.5686| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 666.9940312 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 8 86 0.85664 61 35 80 31 7 2 + +# 2023-09-03 17:01:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 8 86 0.85664 61 35 80 31 7 +39 8 58 0.71684 79 50 72 14 75 +32 9 79 0.77539 60 5 74 23 13 +33 10 83 0.72831 27 12 10 1 40 +20 8 51 0.46094 48 36 66 7 66 +# 2023-09-03 17:01:10 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 294 +# remainingBudget: 206 +# currentBudget: 103 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 12| 29| 300.0000000| 12|00:42:32| NA| NA| NA| +|x| 6| 12| 29| 300.0000000| 19|00:42:30|+1.00|1.00|0.0000| +|x| 9| 12| 33| 366.6666667| 26|00:42:29|+0.00|0.33|0.3056| +|x| 1| 12| 33| 350.0000000| 33|00:42:30|+0.00|0.25|0.2292| +|=| 11| 12| 33| 340.0000000| 40|00:42:30|+0.00|0.20|0.1833| +|=| 10| 12| 33| 366.6666667| 47|00:42:28|+0.03|0.19|0.2816| +|=| 3| 12| 33| 485.8216653| 54|00:35:27|-0.01|0.14|0.4001| +|=| 7| 12| 33| 462.5939571| 61|00:42:30|-0.01|0.12|0.3492| +|=| 4| 12| 33| 544.7159972| 68|00:35:11|+0.03|0.14|0.4095| +|=| 12| 12| 43| 610.1772845| 75|00:37:33|-0.00|0.10|0.4721| +|=| 2| 12| 43| 600.1611677| 82|00:42:28|-0.00|0.09|0.5094| +|=| 5| 12| 43| 591.8144037| 89|00:42:28|+0.01|0.10|0.5463| +|=| 8| 12| 29| 638.7637211| 96|00:35:42|+0.00|0.08|0.5726| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 638.7637211 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 8 86 0.85664 61 35 80 31 7 2 + +# 2023-09-04 01:47:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 8 86 0.85664 61 35 80 31 7 +43 10 59 0.81062 38 20 36 0 27 +45 9 48 0.93010 47 52 85 25 29 +39 8 58 0.71684 79 50 72 14 75 +32 9 79 0.77539 60 5 74 23 13 +# 2023-09-04 01:47:33 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 390 +# remainingBudget: 110 +# currentBudget: 110 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 12| 29| 1200.596307| 12|00:40:22| NA| NA| NA| +|x| 1| 12| 29| 750.2981535| 19|00:42:30|+0.00|0.50|0.4583| +|x| 5| 12| 29| 666.8654357| 26|00:42:11|+0.28|0.52|0.5268| +|x| 8| 12| 29| 800.2166637| 33|00:36:58|+0.14|0.35|0.6378| +|=| 13| 12| 29| 700.1733310| 40|00:42:30|+0.10|0.28|0.5202| +|=| 11| 12| 29| 633.4777758| 47|00:42:29|+0.08|0.24|0.4385| +|-| 2| 6| 29| 614.4095221| 54|00:42:14|+0.10|0.23|0.5344| +|=| 9| 6| 29| 600.1096246| 55|00:29:49|+0.03|0.16|0.5675| +|=| 3| 6| 29| 666.8939219| 56|00:13:33|+0.03|0.13|0.5934| +|=| 12| 6| 43| 722.3284225| 57|00:13:22|-0.03|0.08|0.6306| +|=| 7| 6| 43| 683.9349295| 58|00:34:00|-0.02|0.07|0.5690| +|=| 6| 6| 43| 651.9403521| 59|00:33:59|-0.02|0.06|0.5183| +|=| 10| 6| 48| 638.7119364| 60|00:29:49|-0.01|0.06|0.5423| +|=| 4| 6| 29| 678.8946201| 61|00:13:51|+0.01|0.08|0.5576| +|=| 15| 6| 48| 666.9678684| 67|00:42:13|+0.02|0.09|0.5714| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 666.9678684 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 8 96 0.84707 33 2 1 4 24 43 + +# 2023-09-04 10:07:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 8 96 0.84707 33 2 1 4 24 +29 8 86 0.85664 61 35 80 31 7 +43 10 59 0.81062 38 20 36 0 27 +32 9 79 0.77539 60 5 74 23 13 +45 9 48 0.93010 47 52 85 25 29 +# 2023-09-04 10:07:32 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 457 +# remainingBudget: 43 +# currentBudget: 43 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 16| 7| 54| 1200.053573| 7|00:33:47| NA| NA| NA| +|x| 14| 7| 54| 1200.107602| 9|00:26:27|+0.32|0.66|0.5433| +|x| 13| 7| 54| 900.0717347| 11|00:34:00|+0.16|0.44|0.4668| +|x| 1| 7| 54| 750.0538010| 13|00:34:00|+0.11|0.33|0.3763| +|=| 5| 7| 54| 700.0430408| 15|00:32:53|+0.18|0.34|0.4778| +|=| 6| 7| 54| 633.3692007| 17|00:34:00|+0.14|0.28|0.4043| +|=| 15| 7| 54| 614.3182621| 19|00:33:00|+0.15|0.28|0.4347| +|=| 2| 7| 43| 600.3038839| 21|00:33:07|+0.13|0.23|0.4486| +|=| 10| 7| 48| 589.0291198| 23|00:32:26|+0.04|0.14|0.5417| diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-52.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-52.txt new file mode 100644 index 000000000..f91dc7a38 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-52.txt @@ -0,0 +1,248 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:41:29 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 335420234 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:41:29 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 1200.327736| 16|00:34:36| NA| NA| NA| +|x| 2| 16| 5| 750.1638680| 32|00:43:22|+0.39|0.69|0.6828| +|x| 3| 16| 5| 666.7759120| 48|00:42:04|+0.23|0.49|0.7682| +|x| 4| 16| 5| 625.0819340| 64|00:41:51|+0.38|0.53|0.6627| +|-| 5| 5| 5| 560.0655472| 80|00:43:20|+0.27|0.41|0.4097| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 560.0655472 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 45 0.91742 89 63 87 88 77 NA + +# 2023-09-01 21:06:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 45 0.91742 89 63 87 88 77 +8 10 111 0.48830 77 34 8 13 90 +15 6 60 0.99640 89 12 88 74 4 +9 9 102 0.86577 19 47 52 42 97 +12 7 78 0.50752 57 33 36 55 40 +# 2023-09-01 21:06:43 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 25| 1200.410913| 18|01:07:32| NA| NA| NA| +|x| 3| 18| 25| 850.2054680| 31|00:51:52|+0.18|0.59|0.6278| +|x| 1| 18| 22| 967.3564193| 44|00:49:27|+0.22|0.48|0.6694| +|x| 2| 18| 22| 800.5173145| 57|00:52:00|+0.14|0.36|0.5708| +|-| 4| 12| 22| 740.4138596| 70|00:51:52|+0.04|0.23|0.6934| +|=| 5| 12| 22| 667.0115497| 77|00:43:19|+0.03|0.19|0.5845| +|=| 7| 12| 22| 614.5813283| 89|00:43:21|+0.03|0.17|0.5048| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 614.5813283 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 10 59 0.87505 61 98 80 81 43 5 + +# 2023-09-02 03:06:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 10 59 0.87505 61 98 80 81 43 +5 9 45 0.91742 89 63 87 88 77 +28 8 58 0.49978 88 76 21 11 76 +25 8 42 0.62137 89 83 56 91 88 +8 10 111 0.48830 77 34 8 13 90 +# 2023-09-02 03:06:09 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 169 +# remainingBudget: 331 +# currentBudget: 110 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 5| 1200.559452| 18|01:02:47| NA| NA| NA| +|x| 3| 18| 5| 850.2797260| 31|00:47:28|+0.01|0.50|0.8602| +|x| 1| 18| 5| 966.9623960| 44|00:41:33|+0.18|0.45|0.8939| +|x| 4| 18| 5| 850.2217970| 57|00:47:26|+0.21|0.41|0.8093| +|-| 2| 8| 5| 740.1774376| 70|00:47:39|+0.13|0.30|0.6620| +|=| 5| 8| 5| 666.8145313| 73|00:39:00|+0.10|0.25|0.5580| +|=| 6| 8| 5| 746.1550976| 76|00:25:43|-0.04|0.11|0.6380| +|=| 7| 8| 5| 690.3857104| 79|00:38:59|-0.03|0.09|0.5567| +|=| 9| 8| 5| 669.2317438| 87|00:42:42|-0.03|0.09|0.6007| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 669.2317438 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 45 0.91742 89 63 87 88 77 NA + +# 2023-09-02 09:39:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 45 0.91742 89 63 87 88 77 +22 10 59 0.87505 61 98 80 81 43 +32 9 89 0.69310 90 44 76 78 95 +25 8 42 0.62137 89 83 56 91 88 +28 8 58 0.49978 88 76 21 11 76 +# 2023-09-02 09:39:29 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 256 +# remainingBudget: 244 +# currentBudget: 122 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 22| 500.0000000| 16|01:08:43| NA| NA| NA| +|x| 8| 16| 46| 850.8107955| 27|00:38:57|-0.45|0.28|1.2575| +|x| 6| 16| 47| 967.6278370| 38|00:38:21|-0.15|0.24|0.9604| +|x| 7| 16| 47| 800.7208777| 49|00:43:19|-0.10|0.18|0.7146| +|=| 2| 16| 47| 700.5767022| 60|00:43:19|-0.07|0.14|0.5694| +|=| 3| 16| 47| 667.1472518| 71|00:43:15|-0.02|0.15|0.5977| +|=| 4| 16| 47| 643.2721081| 82|00:43:10|-0.03|0.12|0.6872| +|=| 5| 16| 47| 600.3630946| 93|00:43:20|-0.03|0.10|0.5991| +|=| 9| 16| 5| 591.4181314| 104|00:43:09|+0.01|0.12|0.6327| +|=| 1| 16| 5| 652.3090919| 115|00:38:08|+0.02|0.12|0.6507| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 652.3090919 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 45 0.91742 89 63 87 88 77 NA + +# 2023-09-02 17:03:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 45 0.91742 89 63 87 88 77 +32 9 89 0.69310 90 44 76 78 95 +22 10 59 0.87505 61 98 80 81 43 +25 8 42 0.62137 89 83 56 91 88 +47 8 19 0.96185 66 74 53 50 79 +# 2023-09-02 17:03:16 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 371 +# remainingBudget: 129 +# currentBudget: 129 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 16| 57| 1200.434881| 16|00:58:55| NA| NA| NA| +|x| 2| 16| 57| 750.2174405| 27|00:43:20|+0.00|0.50|0.4688| +|x| 5| 16| 57| 600.1449603| 38|00:43:21|+0.00|0.33|0.3125| +|x| 9| 16| 57| 575.1088683| 49|00:43:05|+0.08|0.31|0.4335| +|=| 6| 16| 57| 700.5583384| 60|00:36:15|+0.06|0.25|0.5144| +|=| 4| 16| 63| 672.2651517| 71|00:43:04|+0.00|0.17|0.6329| +|=| 8| 16| 5| 746.4858136| 82|00:35:34|-0.01|0.13|0.6543| +|=| 10| 16| 5| 715.6757400| 93|00:43:07|-0.00|0.12|0.6978| +|=| 1| 16| 5| 769.5259618| 104|00:35:41|+0.04|0.14|0.7083| +|=| 7| 16| 5| 722.5733656| 115|00:43:21|+0.03|0.13|0.6395| +|=| 3| 16| 5| 702.3394233| 126|00:43:04|+0.06|0.14|0.6680| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 702.3394233 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 45 0.91742 89 63 87 88 77 NA + +# 2023-09-03 00:52:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 45 0.91742 89 63 87 88 77 +57 10 114 0.82778 77 63 87 86 84 +47 8 19 0.96185 66 74 53 50 79 +55 10 30 0.78606 84 43 54 83 93 +25 8 42 0.62137 89 83 56 91 88 +# 2023-09-03 00:52:09 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 926343.9, CPU sys time: 125.379, Wall-clock time: 112239.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 45 0.91742 89 63 87 88 77 +57 10 114 0.82778 77 63 87 86 84 +47 8 19 0.96185 66 74 53 50 79 +55 10 30 0.78606 84 43 54 83 93 +25 8 42 0.62137 89 83 56 91 88 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +5 -K9 -k45 -M0.91742 -Q89 -G63 -D87 -O88 -L77 +57 -K10 -k114 -M0.82778 -Q77 -G63 -D87 -O86 -L84 +47 -K8 -k19 -M0.96185 -Q66 -G74 -D53 -O50 -L79 +55 -K10 -k30 -M0.78606 -Q84 -G43 -D54 -O83 -L93 +25 -K8 -k42 -M0.62137 -Q89 -G83 -D56 -O91 -L88 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 00:52:09 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-53.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-53.txt new file mode 100644 index 000000000..1e05f1e65 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-53.txt @@ -0,0 +1,244 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-03 00:52:09 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1486097313 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-03 00:52:09 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:44:11| NA| NA| NA| +|x| 2| 16| 15| 750.7646265| 32|00:41:30|-0.02|0.49|1.0188| +|x| 3| 16| 15| 667.1764787| 48|00:43:58|+0.07|0.38|0.9505| +|x| 4| 16| 15| 575.3823590| 64|00:44:13|+0.08|0.31|0.8150| +|=| 5| 16| 15| 560.3058976| 80|00:43:58|+0.14|0.32|0.7980| +|-| 6| 10| 15| 670.2835352| 96|00:41:22|-0.01|0.16|0.6226| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 670.2835352 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 7 122 0.61629 92 60 92 5 97 NA + +# 2023-09-03 05:11:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 7 122 0.61629 92 60 92 5 97 +8 8 80 0.73357 63 46 22 97 93 +7 8 62 0.31886 63 55 59 77 47 +5 6 98 0.37384 87 48 52 77 10 +12 10 85 0.35181 48 0 78 16 97 +# 2023-09-03 05:11:24 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 24| 500.0000860| 18|01:09:04| NA| NA| NA| +|x| 3| 18| 29| 500.0001115| 31|00:55:49|+0.24|0.62|0.8193| +|x| 1| 18| 29| 433.3334077| 44|00:57:28|+0.12|0.41|0.5879| +|x| 5| 18| 29| 450.0002870| 57|00:55:35|+0.08|0.31|0.6750| +|=| 2| 18| 29| 600.1001028| 70|00:43:57|+0.13|0.31|0.6724| +|=| 6| 18| 29| 700.4707778| 83|00:43:16|+0.11|0.25|0.7264| +|=| 4| 18| 29| 643.2606667| 96|00:57:27|+0.09|0.22|0.6313| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 643.2606667 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 9 110 0.48516 89 89 54 0 78 15 + +# 2023-09-03 11:34:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 9 110 0.48516 89 89 54 0 78 +24 9 93 0.46354 98 78 17 75 85 +21 8 93 0.58355 89 32 61 41 52 +15 7 122 0.61629 92 60 92 5 97 +8 8 80 0.73357 63 46 22 97 93 +# 2023-09-03 11:34:04 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 21| 1200.622888| 17|01:02:57| NA| NA| NA| +|x| 2| 17| 24| 1200.603934| 29|00:35:43|+0.34|0.67|1.0964| +|x| 5| 17| 29| 967.1338127| 41|00:43:42|-0.07|0.28|1.1362| +|x| 1| 17| 29| 800.3503595| 53|00:44:14|-0.03|0.23|1.0049| +|=| 4| 17| 29| 700.2802876| 65|00:44:15|+0.01|0.21|0.8650| +|=| 6| 17| 29| 783.9542652| 77|00:35:34|+0.08|0.23|0.8504| +|=| 7| 17| 34| 743.4888829| 89|00:43:42|+0.11|0.23|0.8668| +|-| 3| 10| 29| 712.9657268| 101|00:43:45|-0.06|0.07|0.6474| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 712.9657268 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 9 110 0.48516 89 89 54 0 78 15 + +# 2023-09-03 17:28:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 9 110 0.48516 89 89 54 0 78 +24 9 93 0.46354 98 78 17 75 85 +21 8 93 0.58355 89 32 61 41 52 +34 7 112 0.45071 72 47 52 69 20 +33 10 42 0.63256 91 68 31 13 46 +# 2023-09-03 17:28:00 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 293 +# remainingBudget: 207 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 29| 300.0000000| 15|01:10:44| NA| NA| NA| +|x| 1| 15| 29| 300.0000000| 25|00:44:15|+1.00|1.00|0.0000| +|x| 8| 15| 42| 600.0319783| 35|00:34:09|+0.06|0.37|0.7221| +|x| 7| 15| 42| 575.0239838| 45|00:43:40|-0.00|0.25|0.7878| +|=| 6| 15| 46| 700.3273150| 55|00:34:38|-0.01|0.19|0.8901| +|=| 4| 15| 46| 633.6060958| 65|00:44:12|-0.00|0.16|0.8101| +|=| 5| 15| 34| 614.6407374| 75|00:43:40|-0.04|0.11|0.8951| +|=| 3| 15| 46| 600.2067322| 85|00:43:38|+0.01|0.14|0.8863| +|=| 2| 15| 46| 667.0228726| 95|00:33:07|-0.00|0.11|0.8749| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 667.0228726 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 9 47 0.63018 91 43 62 38 65 21 + +# 2023-09-04 00:00:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 9 47 0.63018 91 43 62 38 65 +29 9 110 0.48516 89 89 54 0 78 +34 7 112 0.45071 72 47 52 69 20 +33 10 42 0.63256 91 68 31 13 46 +42 9 92 0.61368 93 92 7 40 44 +# 2023-09-04 00:00:07 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 46| 500.0000000| 15|01:08:50| NA| NA| NA| +|x| 9| 15| 46| 400.0000000| 25|00:44:13|+0.00|0.50|0.4667| +|x| 1| 15| 46| 366.6666667| 35|00:44:12|+0.00|0.33|0.3111| +|x| 3| 15| 46| 400.0000000| 45|00:43:27|+0.14|0.35|0.4232| +|-| 2| 9| 46| 560.3103990| 55|00:33:24|+0.04|0.24|0.5705| +|=| 4| 9| 46| 516.9253325| 59|00:44:09|+0.04|0.20|0.4692| +|=| 6| 9| 46| 614.6389603| 63|00:27:38|-0.04|0.11|0.5192| +|=| 8| 9| 46| 687.8985713| 67|00:27:05|-0.04|0.09|0.5867| +|=| 5| 9| 46| 667.0228726| 71|00:41:55|-0.06|0.05|0.6135| +|=| 7| 9| 46| 650.3205853| 75|00:41:48|-0.02|0.08|0.6336| +|=| 11| 9| 46| 618.4732594| 84|00:44:14|-0.02|0.07|0.5750| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 618.4732594 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 9 47 0.63018 91 43 62 38 65 21 + +# 2023-09-04 07:41:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 9 47 0.63018 91 43 62 38 65 +60 9 75 0.61428 92 70 52 37 59 +29 9 110 0.48516 89 89 54 0 78 +33 10 42 0.63256 91 68 31 13 46 +34 7 112 0.45071 72 47 52 69 20 +# 2023-09-04 07:41:08 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 472 +# remainingBudget: 28 +# currentBudget: 28 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 6| 60| 1200.627612| 6|00:28:29| NA| NA| NA| +|x| 3| 6| 60| 850.3138065| 7|00:36:18|+0.06|0.53|0.5057| +|x| 2| 6| 29| 967.1983143| 8|00:23:46|+0.33|0.55|0.4879| +|x| 11| 6| 29| 800.3987358| 9|00:39:44|+0.22|0.41|0.4523| +|=| 7| 6| 60| 740.2463686| 10|00:36:16|+0.08|0.27|0.4964| +|=| 10| 6| 60| 700.2053072| 11|00:36:10|+0.13|0.27|0.5439| +|=| 9| 6| 60| 643.0331204| 12|00:39:44|+0.11|0.23|0.4877| +|=| 5| 6| 60| 625.1539804| 13|00:36:09|+0.13|0.23|0.4904| +|=| 1| 6| 60| 589.0257603| 14|00:39:44|+0.11|0.21|0.4508| +|=| 4| 6| 60| 560.1231843| 15|00:39:45|+0.10|0.19|0.4162| diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-54.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-54.txt new file mode 100644 index 000000000..3d1739618 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-54.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:43:46 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 452226609 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:43:46 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 500.0000000| 16|00:48:36| NA| NA| NA| +|x| 2| 16| 16| 851.4147355| 32|00:38:50|+0.37|0.69|0.6006| +|x| 3| 16| 16| 667.6098237| 48|00:49:32|+0.37|0.58|0.5429| +|x| 4| 16| 9| 802.5968555| 64|00:38:07|+0.38|0.53|0.6073| +|-| 5| 10| 9| 742.0805124| 80|00:48:39|+0.03|0.23|0.7110| +|=| 6| 10| 16| 670.4812878| 90|00:40:30|+0.03|0.19|0.5940| +|=| 7| 10| 16| 617.5553896| 100|00:40:30|+0.02|0.16|0.5100| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 617.5553896 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 9 78 0.41822 94 65 51 12 41 NA + +# 2023-09-01 22:48:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 9 78 0.41822 94 65 51 12 41 +9 8 33 0.16498 67 43 78 86 1 +14 8 94 0.20519 65 71 37 44 31 +10 9 113 0.98025 15 43 75 10 78 +3 5 33 0.12936 46 48 13 36 14 +# 2023-09-01 22:48:33 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 24| 500.0000000| 16|01:11:02| NA| NA| NA| +|x| 2| 16| 24| 850.4712630| 27|00:38:53|+0.07|0.54|0.9020| +|x| 7| 16| 24| 666.9808420| 38|00:45:01|+0.15|0.44|0.6987| +|x| 4| 16| 24| 800.2896077| 49|00:38:09|+0.14|0.36|0.7970| +|-| 5| 10| 18| 740.2573130| 60|00:44:38|+0.08|0.26|0.7867| +|=| 1| 10| 18| 700.2144275| 65|00:44:13|+0.10|0.25|0.7873| +|=| 6| 10| 18| 643.0409379| 70|00:45:00|+0.09|0.22|0.6695| +|=| 3| 10| 18| 600.1608206| 75|00:45:00|+0.07|0.19|0.5825| +|=| 9| 10| 18| 668.9973721| 85|00:36:27|+0.05|0.16|0.6348| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 668.9973721 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 94 0.46515 80 27 85 30 58 16 + +# 2023-09-02 05:37:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 94 0.46515 80 27 85 30 58 +17 8 38 0.32537 88 3 7 44 24 +16 9 78 0.41822 94 65 51 12 41 +23 6 77 0.77107 72 93 44 66 17 +24 10 38 0.34671 73 44 30 55 20 +# 2023-09-02 05:37:00 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 18| 300.0000000| 15|01:03:00| NA| NA| NA| +|x| 1| 15| 18| 400.0000000| 25|00:44:53|-0.09|0.45|1.0800| +|x| 7| 15| 18| 366.6666667| 35|00:45:01|+0.06|0.37|0.7200| +|x| 3| 15| 18| 350.0000000| 45|00:45:03|+0.17|0.38|0.5400| +|=| 8| 15| 16| 380.0000010| 55|00:44:52|+0.10|0.28|0.6851| +|=| 5| 15| 18| 400.0000178| 65|00:44:51|+0.05|0.21|0.7994| +|=| 4| 15| 18| 514.3325899| 75|00:40:52|-0.01|0.14|0.8830| +|=| 6| 15| 18| 487.5410161| 85|00:45:00|+0.02|0.14|0.8090| +|=| 9| 15| 17| 566.9323113| 95|00:41:18|+0.04|0.15|0.8035| +|=| 2| 15| 18| 632.0976349| 105|00:40:34|+0.04|0.14|0.8169| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 632.0976349 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 94 0.46515 80 27 85 30 58 16 + +# 2023-09-02 13:12:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 94 0.46515 80 27 85 30 58 +16 9 78 0.41822 94 65 51 12 41 +17 8 38 0.32537 88 3 7 44 24 +37 7 70 0.92486 66 93 43 59 23 +23 6 77 0.77107 72 93 44 66 17 +# 2023-09-02 13:12:28 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 290 +# remainingBudget: 210 +# currentBudget: 105 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 16| 500.0000000| 14|01:06:00| NA| NA| NA| +|x| 2| 14| 39| 850.5900800| 23|00:37:08|-0.38|0.31|1.1139| +|x| 7| 14| 39| 667.0600533| 32|00:45:00|-0.26|0.16|1.1158| +|x| 3| 14| 39| 575.2950400| 41|00:45:04|-0.17|0.12|0.7900| +|=| 1| 14| 18| 560.1917146| 50|00:44:41|-0.06|0.15|0.7902| +|=| 9| 14| 16| 667.2904565| 59|00:34:29|-0.08|0.10|0.8164| +|=| 5| 14| 16| 643.3920339| 68|00:44:39|-0.04|0.11|0.8248| +|=| 10| 14| 16| 600.4680296| 77|00:45:04|-0.04|0.09|0.8129| +|=| 4| 14| 18| 668.9973767| 86|00:36:22|-0.02|0.09|0.8530| +|=| 8| 14| 18| 652.0976486| 95|00:44:41|+0.01|0.11|0.8481| +|=| 6| 14| 18| 620.0887715| 104|00:44:59|+0.01|0.10|0.8318| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 620.0887715 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 9 94 0.46515 80 27 85 30 58 16 + +# 2023-09-02 21:20:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 9 94 0.46515 80 27 85 30 58 +45 8 100 0.76514 81 28 69 28 69 +16 9 78 0.41822 94 65 51 12 41 +40 10 72 0.47645 89 53 50 38 89 +17 8 38 0.32537 88 3 7 44 24 +# 2023-09-02 21:20:41 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 394 +# remainingBudget: 106 +# currentBudget: 106 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 40| 1200.166049| 13|00:55:12| NA| NA| NA| +|x| 10| 13| 40| 750.0830245| 21|00:45:05|+0.00|0.50|0.4615| +|x| 1| 13| 40| 666.7220163| 29|00:44:50|+0.04|0.36|0.5367| +|x| 8| 13| 40| 625.0415148| 37|00:44:53|-0.07|0.20|0.6505| +|=| 7| 13| 40| 560.0332118| 45|00:45:00|-0.05|0.16|0.5288| +|=| 6| 13| 40| 516.6943432| 53|00:45:00|-0.04|0.13|0.4448| +|=| 4| 13| 40| 614.4022883| 61|00:36:21|-0.00|0.14|0.5157| +|=| 2| 13| 18| 687.8365812| 69|00:35:31|-0.04|0.09|0.5878| +|=| 9| 13| 47| 745.3077563| 77|00:36:20|-0.04|0.07|0.6302| +|=| 3| 13| 47| 700.7769807| 85|00:45:05|-0.04|0.07|0.5657| +|=| 11| 13| 47| 682.5245279| 93|00:44:52|+0.01|0.10|0.5704| +|=| 5| 13| 49| 667.0239243| 101|00:44:49|+0.03|0.11|0.5802| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 667.0239243 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 37 0.50815 82 55 59 27 46 16 + +# 2023-09-03 06:03:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 37 0.50815 82 55 59 27 46 +47 10 87 0.18566 92 91 43 15 44 +45 8 100 0.76514 81 28 69 28 69 +17 8 38 0.32537 88 3 7 44 24 +18 9 94 0.46515 80 27 85 30 58 +# 2023-09-03 06:03:46 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 950085.8, CPU sys time: 106.525, Wall-clock time: 130799.5 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 37 0.50815 82 55 59 27 46 +47 10 87 0.18566 92 91 43 15 44 +45 8 100 0.76514 81 28 69 28 69 +17 8 38 0.32537 88 3 7 44 24 +18 9 94 0.46515 80 27 85 30 58 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k37 -M0.50815 -Q82 -G55 -D59 -O27 -L46 +47 -K10 -k87 -M0.18566 -Q92 -G91 -D43 -O15 -L44 +45 -K8 -k100 -M0.76514 -Q81 -G28 -D69 -O28 -L69 +17 -K8 -k38 -M0.32537 -Q88 -G3 -D7 -O44 -L24 +18 -K9 -k94 -M0.46515 -Q80 -G27 -D85 -O30 -L58 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 06:03:46 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-55.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-55.txt new file mode 100644 index 000000000..ecc31065f --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-55.txt @@ -0,0 +1,204 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-03 06:03:46 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 681831345 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-03 06:03:46 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 9| 1200.142860| 16|00:40:39| NA| NA| NA| +|x| 2| 16| 9| 750.0714300| 32|00:45:49|+0.02|0.51|0.9531| +|x| 3| 16| 9| 666.7142870| 48|00:45:31|+0.39|0.59|0.5735| +|x| 4| 16| 9| 625.0392682| 64|00:45:32|+0.46|0.59|0.4923| +|-| 5| 9| 3| 740.1169560| 80|00:40:23|-0.03|0.17|0.6998| +|=| 6| 9| 3| 666.7641300| 89|00:45:49|-0.03|0.14|0.5851| +|=| 7| 9| 9| 746.1299070| 98|00:38:19|+0.05|0.19|0.5899| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 746.1299070 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 122 0.55101 98 97 12 78 14 NA + +# 2023-09-03 11:05:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 122 0.55101 98 97 12 78 14 +3 6 70 0.62350 78 49 23 0 7 +5 10 42 0.66454 84 89 80 52 18 +11 6 21 0.78948 21 70 21 28 13 +8 6 31 0.48039 77 65 52 53 74 +# 2023-09-03 11:05:50 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 9| 300.0000000| 16|00:59:34| NA| NA| NA| +|x| 2| 16| 9| 300.0000000| 27|00:45:49|+1.00|1.00|0.2911| +|x| 5| 16| 3| 600.1111617| 38|00:38:37|+0.45|0.63|0.6948| +|x| 3| 16| 18| 575.1086092| 49|00:45:29|+0.36|0.52|0.6449| +|-| 6| 13| 18| 520.0868874| 60|00:45:50|-0.02|0.18|0.3912| +|=| 1| 13| 3| 633.4284278| 68|00:39:04|-0.05|0.12|0.4664| +|=| 4| 13| 18| 617.2447914| 76|00:45:28|-0.02|0.13|0.5645| +|=| 7| 13| 18| 690.1453552| 84|00:37:08|+0.05|0.17|0.5959| +|=| 9| 13| 18| 669.0182711| 97|00:58:45|+0.05|0.15|0.6316| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 669.0182711 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 10 47 0.84309 47 58 67 28 24 5 + +# 2023-09-03 18:01:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 10 47 0.84309 47 58 67 28 24 +26 9 103 0.99679 55 64 11 54 63 +9 9 122 0.55101 98 97 12 78 14 +3 6 70 0.62350 78 49 23 0 7 +25 7 45 0.74406 52 61 49 35 13 +# 2023-09-03 18:01:38 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 195 +# remainingBudget: 305 +# currentBudget: 101 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 26| 500.0000000| 14|01:12:14| NA| NA| NA| +|x| 7| 14| 18| 850.2247625| 23|00:40:22|-0.18|0.41|0.5476| +|x| 1| 14| 35| 967.3874970| 32|00:40:29|+0.09|0.39|0.7209| +|x| 3| 14| 35| 850.5406228| 41|00:45:43|+0.24|0.43|0.5759| +|-| 5| 9| 35| 920.6596694| 50|00:40:29|-0.05|0.16|1.0303| +|=| 9| 9| 18| 853.5274438| 54|00:45:35|-0.06|0.11|1.0079| +|=| 2| 9| 18| 774.4520947| 58|00:45:49|-0.05|0.10|0.8469| +|=| 6| 9| 18| 715.1455829| 62|00:45:50|-0.04|0.09|0.7304| +|=| 8| 9| 18| 669.0182959| 66|00:45:50|-0.04|0.08|0.6422| +|=| 4| 9| 18| 652.1164663| 70|00:45:31|-0.01|0.09|0.6586| +|=| 11| 9| 18| 702.0784723| 79|00:39:56|+0.00|0.09|0.6685| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 702.0784723 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 10 47 0.84309 47 58 67 28 24 5 + +# 2023-09-04 02:29:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 10 47 0.84309 47 58 67 28 24 +26 9 103 0.99679 55 64 11 54 63 +35 10 51 0.51358 89 91 54 49 35 +9 9 122 0.55101 98 97 12 78 14 +30 7 105 0.48361 74 67 14 79 9 +# 2023-09-04 02:29:33 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 274 +# remainingBudget: 226 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 18| 300.0000000| 14|01:04:14| NA| NA| NA| +|x| 3| 14| 18| 400.0000000| 23|00:45:38|+0.18|0.59|0.7136| +|x| 4| 14| 18| 433.3333333| 32|00:45:38|+0.48|0.65|0.5136| +|x| 10| 14| 26| 450.0000002| 41|00:45:37|+0.55|0.66|0.4863| +|-| 7| 7| 18| 600.0899050| 50|00:39:57|-0.05|0.16|0.6451| +|=| 1| 7| 35| 700.3604353| 52|00:32:15|-0.01|0.16|0.6770| +|=| 5| 7| 18| 774.4518664| 54|00:32:33|+0.06|0.19|0.6729| +|=| 11| 7| 18| 827.8576996| 56|00:32:51|+0.01|0.14|0.7464| +|=| 2| 7| 18| 769.2068441| 58|00:45:50|+0.01|0.12|0.6638| +|=| 6| 7| 18| 722.2861597| 60|00:45:50|+0.01|0.11|0.5977| +|=| 9| 7| 18| 702.0784723| 62|00:43:06|+0.04|0.12|0.6110| +|=| 8| 7| 18| 668.5719329| 64|00:45:50|+0.03|0.11|0.5611| +|=| 13| 7| 18| 640.2202458| 71|00:45:50|+0.03|0.10|0.5187| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 640.2202458 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 10 47 0.84309 47 58 67 28 24 5 + +# 2023-09-04 11:54:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 10 47 0.84309 47 58 67 28 24 +26 9 103 0.99679 55 64 11 54 63 +35 10 51 0.51358 89 91 54 49 35 +9 9 122 0.55101 98 97 12 78 14 +30 7 105 0.48361 74 67 14 79 9 +# 2023-09-04 11:54:48 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 345 +# remainingBudget: 155 +# currentBudget: 155 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-56.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-56.txt new file mode 100644 index 000000000..87e2b852a --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-56.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:43:46 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1032391262 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:43:46 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 500.0097560| 16|00:41:32| NA| NA| NA| +|x| 2| 16| 15| 851.2269925| 32|00:36:49|+0.23|0.61|0.6460| +|x| 3| 16| 15| 667.4846617| 48|00:42:01|+0.24|0.49|0.7441| +|x| 4| 16| 16| 625.6192615| 64|00:41:31|+0.28|0.46|0.7204| +|-| 5| 10| 16| 560.4954092| 80|00:42:00|+0.02|0.22|0.5464| +|=| 6| 10| 15| 667.4272918| 90|00:33:51|+0.01|0.17|0.6224| +|=| 7| 10| 15| 744.4910567| 100|00:34:36|+0.03|0.17|0.6345| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 744.4910567 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 6 44 0.95507 40 80 57 17 4 NA + +# 2023-09-01 22:16:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 6 44 0.95507 40 80 57 17 4 +2 4 72 0.79931 75 2 39 14 9 +7 9 6 0.95922 96 17 82 95 22 +16 7 32 0.15886 68 28 18 18 58 +14 4 35 0.32624 81 67 18 20 44 +# 2023-09-01 22:16:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 17| 500.0000330| 16|01:00:23| NA| NA| NA| +|x| 1| 16| 16| 500.0124795| 27|00:41:47|-0.27|0.36|1.2339| +|x| 6| 16| 22| 733.7157397| 38|00:38:16|-0.05|0.30|1.0745| +|x| 5| 16| 22| 625.2868047| 49|00:42:04|-0.03|0.22|0.7716| +|=| 4| 16| 22| 600.2294454| 60|00:41:47|+0.05|0.24|0.7346| +|=| 7| 16| 22| 700.3352070| 71|00:38:27|+0.10|0.25|0.7445| +|=| 2| 16| 22| 771.8058590| 82|00:38:18|+0.08|0.21|0.7996| +|=| 3| 16| 22| 712.8301266| 93|00:42:04|+0.07|0.19|0.7001| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 712.8301266 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 7 35 0.70105 63 37 49 3 16 2 + +# 2023-09-02 03:59:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 7 35 0.70105 63 37 49 3 16 +17 7 18 0.71413 74 25 43 53 79 +26 8 57 0.98765 94 31 85 65 64 +27 8 17 0.29658 51 87 31 17 17 +25 9 105 0.21217 83 76 47 40 69 +# 2023-09-02 03:59:21 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 22| 300.0000000| 15|01:05:20| NA| NA| NA| +|x| 3| 15| 22| 300.0000000| 25|00:46:40|+1.00|1.00|0.0000| +|x| 1| 15| 22| 366.6666667| 35|00:45:16|+0.00|0.33|0.3111| +|x| 8| 15| 31| 400.0000768| 45|00:45:29|+0.00|0.25|0.4706| +|=| 2| 15| 22| 560.1317874| 55|00:35:43|+0.04|0.24|0.5640| +|=| 5| 15| 22| 516.7764895| 65|00:46:40|+0.04|0.20|0.4694| +|=| 4| 15| 22| 514.3798493| 75|00:45:17|+0.04|0.18|0.5319| +|=| 6| 15| 22| 600.2221247| 85|00:35:36|+0.07|0.18|0.5728| +|-| 7| 9| 22| 666.9601126| 95|00:35:49|-0.04|0.08|0.6194| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 666.9601126 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 7 35 0.70105 63 37 49 3 16 2 + +# 2023-09-02 10:41:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 7 35 0.70105 63 37 49 3 16 +29 6 35 0.69048 79 40 14 15 26 +35 10 64 0.97716 89 30 62 35 98 +30 10 14 0.27025 85 34 75 60 80 +27 8 17 0.29658 51 87 31 17 17 +# 2023-09-02 10:41:15 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 35| 1200.392373| 15|00:48:38| NA| NA| NA| +|x| 5| 15| 35| 750.1961865| 25|00:42:00|+0.00|0.50|0.4667| +|x| 4| 15| 22| 666.9411883| 35|00:40:58|-0.04|0.30|0.6740| +|x| 2| 15| 22| 800.3633340| 45|00:32:21|+0.18|0.38|0.6267| +|-| 7| 9| 22| 880.4634702| 55|00:33:15|-0.11|0.11|0.8083| +|=| 1| 9| 22| 817.0528918| 59|00:36:02|-0.01|0.16|0.7638| +|=| 6| 9| 22| 871.9193434| 63|00:28:25|+0.04|0.18|0.7241| +|=| 8| 9| 22| 825.4330713| 67|00:35:58|-0.00|0.12|0.7775| +|=| 9| 9| 22| 767.0516189| 71|00:37:19|-0.00|0.11|0.6911| +|=| 3| 9| 22| 720.3464570| 75|00:37:20|-0.00|0.10|0.6220| +|=| 11| 9| 22| 700.3149618| 84|00:45:47|+0.04|0.13|0.6425| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 700.3149618 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 7 35 0.70105 63 37 49 3 16 2 + +# 2023-09-02 17:39:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 7 35 0.70105 63 37 49 3 16 +35 10 64 0.97716 89 30 62 35 98 +29 6 35 0.69048 79 40 14 15 26 +43 8 34 0.55017 63 0 72 10 42 +27 8 17 0.29658 51 87 31 17 17 +# 2023-09-02 17:39:24 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 372 +# remainingBudget: 128 +# currentBudget: 128 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 22| 300.0000000| 15|01:10:00| NA| NA| NA| +|x| 4| 15| 53| 400.0000000| 25|00:41:21|+0.00|0.50|0.4667| +|x| 6| 15| 55| 666.8799933| 35|00:32:28|+0.09|0.40|0.5492| +|x| 9| 15| 55| 575.1599950| 45|00:42:01|+0.06|0.30|0.4302| +|=| 3| 15| 55| 520.1279960| 55|00:42:00|+0.05|0.24|0.3514| +|=| 10| 15| 57| 633.4329608| 65|00:32:33|+0.10|0.25|0.4074| +|=| 2| 15| 57| 717.2558709| 75|00:34:38|+0.07|0.20|0.5280| +|=| 5| 15| 57| 665.0988870| 85|00:42:01|+0.06|0.18|0.4627| +|-| 11| 11| 22| 644.7301554| 95|00:41:24|-0.04|0.07|0.5182| +|=| 1| 11| 22| 630.2571399| 101|00:40:53|-0.03|0.07|0.5323| +|=| 8| 11| 22| 618.4182332| 107|00:40:58|-0.04|0.06|0.5909| +|=| 7| 11| 57| 668.4720817| 113|00:29:25|-0.01|0.07|0.5903| +|=| 13| 11| 57| 640.1280754| 124|00:46:40|-0.01|0.07|0.5461| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 57 mean value: 640.1280754 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +57 57 9 29 0.72657 73 25 57 20 38 22 + +# 2023-09-03 02:35:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +57 9 29 0.72657 73 25 57 20 38 +22 7 35 0.70105 63 37 49 3 16 +35 10 64 0.97716 89 30 62 35 98 +48 5 48 0.76483 68 28 15 0 0 +29 6 35 0.69048 79 40 14 15 26 +# 2023-09-03 02:35:52 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 844107.6, CPU sys time: 125.825, Wall-clock time: 118326 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +57 9 29 0.72657 73 25 57 20 38 +22 7 35 0.70105 63 37 49 3 16 +35 10 64 0.97716 89 30 62 35 98 +48 5 48 0.76483 68 28 15 0 0 +29 6 35 0.69048 79 40 14 15 26 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +57 -K9 -k29 -M0.72657 -Q73 -G25 -D57 -O20 -L38 +22 -K7 -k35 -M0.70105 -Q63 -G37 -D49 -O3 -L16 +35 -K10 -k64 -M0.97716 -Q89 -G30 -D62 -O35 -L98 +48 -K5 -k48 -M0.76483 -Q68 -G28 -D15 -O0 -L0 +29 -K6 -k35 -M0.69048 -Q79 -G40 -D14 -O15 -L26 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 02:35:52 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-57.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-57.txt new file mode 100644 index 000000000..9ccb6245b --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-57.txt @@ -0,0 +1,259 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-03 02:35:52 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1932663757 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-03 02:35:52 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:47:29| NA| NA| NA| +|x| 2| 16| 7| 751.6921490| 32|00:43:46|+0.54|0.77|0.6415| +|x| 3| 16| 7| 667.7997903| 48|00:47:14|+0.48|0.65|0.6403| +|x| 4| 16| 7| 575.8498427| 64|00:47:30|+0.52|0.64|0.5169| +|-| 5| 8| 7| 701.1739864| 80|00:42:57|-0.01|0.19|0.5417| +|=| 6| 8| 7| 667.6460377| 88|00:47:05|+0.08|0.23|0.5527| +|=| 7| 8| 7| 746.8267917| 96|00:42:06|+0.00|0.15|0.6319| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 746.8267917 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 7 95 0.55086 64 37 36 97 27 NA + +# 2023-09-03 07:54:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 7 95 0.55086 64 37 36 97 27 +10 8 25 0.52017 54 32 76 98 62 +1 10 2 0.33957 36 46 52 66 2 +11 9 52 0.12049 25 99 86 2 35 +16 5 69 0.10825 72 40 89 79 19 +# 2023-09-03 07:54:02 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 10| 500.0005140| 17|01:15:14| NA| NA| NA| +|x| 3| 17| 23| 500.0059165| 29|00:47:25|+0.30|0.65|0.5170| +|x| 4| 17| 23| 433.3372777| 41|00:47:30|+0.15|0.43|0.4861| +|x| 7| 17| 21| 625.1831063| 53|00:47:02|+0.24|0.43|0.5155| +|-| 6| 11| 10| 600.2512506| 65|00:47:25|-0.01|0.19|0.7641| +|=| 2| 11| 21| 700.4492617| 71|00:43:01|-0.00|0.16|0.8060| +|=| 1| 11| 21| 643.2422243| 77|00:47:29|-0.00|0.14|0.6839| +|=| 5| 11| 21| 712.9527331| 83|00:43:18|+0.05|0.17|0.6992| +|=| 9| 11| 21| 667.0690961| 94|00:47:30|+0.04|0.15|0.6196| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 667.0690961 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 9 26 0.47013 79 59 68 61 14 1 + +# 2023-09-03 15:20:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 9 26 0.47013 79 59 68 61 14 +23 6 23 0.76528 88 70 79 63 56 +17 10 18 0.23780 90 17 86 72 20 +10 8 25 0.52017 54 32 76 98 62 +7 7 95 0.55086 64 37 36 97 27 +# 2023-09-03 15:20:00 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 190 +# remainingBudget: 310 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 21| 300.0000000| 14|01:11:14| NA| NA| NA| +|x| 8| 14| 10| 400.0002570| 23|00:47:10|+0.00|0.50|0.4643| +|x| 5| 14| 36| 666.7702847| 32|00:39:06|-0.10|0.27|0.6271| +|x| 4| 14| 36| 575.0777135| 41|00:47:31|-0.06|0.20|0.4683| +|=| 3| 14| 35| 560.2082716| 50|00:47:09|+0.01|0.20|0.4716| +|=| 7| 14| 35| 666.9914252| 59|00:38:23|+0.09|0.24|0.5217| +|-| 6| 11| 35| 643.1355309| 68|00:47:10|-0.03|0.11|0.6922| +|=| 2| 11| 35| 712.7913134| 74|00:36:02|-0.03|0.10|0.7061| +|=| 1| 11| 35| 666.9256119| 80|00:47:29|-0.02|0.09|0.6250| +|=| 9| 11| 35| 630.2330507| 86|00:47:30|-0.02|0.08|0.5606| +|=| 11| 11| 35| 618.3936825| 97|00:47:15|+0.00|0.10|0.5839| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 618.3936825 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 26 0.7167 88 48 39 70 26 21 + +# 2023-09-03 23:56:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 26 0.71670 88 48 39 70 26 +21 9 26 0.47013 79 59 68 61 14 +29 8 61 0.98830 80 45 90 58 28 +34 10 49 0.63119 96 52 51 99 32 +17 10 18 0.23780 90 17 86 72 20 +# 2023-09-03 23:56:04 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 42| 1200.447512| 13|01:07:42| NA| NA| NA| +|x| 6| 13| 39| 850.6261340| 21|00:46:58|-0.26|0.37|0.6938| +|x| 9| 13| 39| 667.0840893| 29|00:47:30|-0.17|0.22|0.8493| +|x| 7| 13| 39| 800.4849893| 37|00:38:33|-0.12|0.16|0.9000| +|=| 10| 13| 39| 700.3879914| 45|00:47:29|-0.08|0.13|0.8365| +|=| 11| 13| 38| 666.9509043| 53|00:46:58|-0.04|0.14|0.8682| +|=| 8| 13| 38| 643.1007859| 61|00:46:58|-0.02|0.13|0.8681| +|=| 2| 13| 38| 712.7453077| 69|00:37:07|+0.01|0.13|0.8347| +|=| 3| 13| 38| 689.1086206| 77|00:46:58|+0.02|0.13|0.8287| +|=| 5| 13| 35| 740.7903221| 85|00:38:23|+0.03|0.13|0.8359| +|=| 1| 13| 35| 700.7184746| 93|00:47:29|+0.03|0.12|0.8136| +|=| 4| 13| 35| 667.3252684| 101|00:47:29|+0.04|0.12|0.7860| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 667.3252684 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 26 0.7167 88 48 39 70 26 21 + +# 2023-09-04 09:15:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 26 0.71670 88 48 39 70 26 +21 9 26 0.47013 79 59 68 61 14 +38 8 52 0.73127 64 30 53 75 37 +44 10 68 0.93915 98 23 58 60 42 +43 7 51 0.77411 93 42 81 53 33 +# 2023-09-04 09:15:46 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 35| 300.0000000| 13|01:01:44| NA| NA| NA| +|x| 11| 13| 35| 400.0000000| 21|00:46:53|+0.00|0.50|0.4615| +|x| 3| 13| 44| 433.3333333| 29|00:46:52|+0.19|0.46|0.3839| +|x| 4| 13| 44| 400.0000000| 37|00:47:31|+0.12|0.34|0.3458| +|=| 8| 13| 44| 420.0000000| 45|00:46:53|+0.18|0.35|0.4151| +|=| 1| 13| 44| 400.0000000| 53|00:47:30|+0.15|0.29|0.3690| +|=| 9| 13| 44| 385.7142857| 61|00:47:29|+0.12|0.25|0.3295| +|-| 12| 9| 44| 487.6735650| 69|00:40:48|-0.01|0.12|0.4635| +|=| 7| 9| 44| 566.9775039| 73|00:34:58|-0.02|0.09|0.4980| +|=| 10| 9| 44| 540.2797535| 77|00:47:29|-0.02|0.08|0.4478| +|=| 2| 9| 38| 600.1796872| 81|00:35:11|-0.04|0.06|0.4805| +|=| 6| 9| 38| 591.8314654| 85|00:45:44|-0.04|0.05|0.5169| +|=| 5| 9| 35| 639.0694785| 89|00:35:30|-0.02|0.06|0.5320| +|=| 14| 9| 38| 629.1258899| 98|00:47:15|-0.02|0.06|0.5599| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 629.1258899 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 8 52 0.73127 64 30 53 75 37 29 + +# 2023-09-04 19:47:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 8 52 0.73127 64 30 53 75 37 +44 10 68 0.93915 98 23 58 60 42 +46 10 49 0.71290 89 8 53 86 53 +21 9 26 0.47013 79 59 68 61 14 +35 9 26 0.71670 88 48 39 70 26 +# 2023-09-04 19:47:43 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 486 +# timeUsed: 0 +# remainingBudget: 14 +# currentBudget: 14 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 974415, CPU sys time: 62.955, Wall-clock time: 148310.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 8 52 0.73127 64 30 53 75 37 +44 10 68 0.93915 98 23 58 60 42 +46 10 49 0.71290 89 8 53 86 53 +21 9 26 0.47013 79 59 68 61 14 +35 9 26 0.71670 88 48 39 70 26 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +38 -K8 -k52 -M0.73127 -Q64 -G30 -D53 -O75 -L37 +44 -K10 -k68 -M0.93915 -Q98 -G23 -D58 -O60 -L42 +46 -K10 -k49 -M0.7129 -Q89 -G8 -D53 -O86 -L53 +21 -K9 -k26 -M0.47013 -Q79 -G59 -D68 -O61 -L14 +35 -K9 -k26 -M0.7167 -Q88 -G48 -D39 -O70 -L26 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-04 19:47:43 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-58.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-58.txt new file mode 100644 index 000000000..7ef33240d --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-58.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:46:16 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1974178951 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:46:16 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:48:22| NA| NA| NA| +|x| 2| 16| 11| 750.1590285| 32|00:33:43|+0.38|0.69|0.5647| +|x| 3| 16| 10| 666.9963170| 48|00:46:22|+0.58|0.72|0.3675| +|x| 4| 16| 10| 800.5892500| 64|00:34:07|+0.52|0.64|0.4462| +|-| 5| 8| 10| 700.4714000| 80|00:48:22|-0.05|0.16|0.5719| +|=| 6| 8| 10| 667.0602632| 88|00:45:28|+0.03|0.19|0.6067| +|=| 7| 8| 10| 643.1945113| 96|00:45:26|+0.12|0.24|0.5921| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 643.1945113 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 10 116 0.74754 60 22 39 3 55 NA + +# 2023-09-01 22:48:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 10 116 0.74754 60 22 39 3 55 +8 8 108 0.71117 77 40 46 24 86 +12 8 48 0.31654 49 81 85 64 87 +13 5 88 0.20904 57 30 57 99 41 +6 5 117 0.40638 100 74 88 70 9 +# 2023-09-01 22:48:09 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 1200.462271| 17|00:53:20| NA| NA| NA| +|x| 6| 17| 23| 850.3327810| 29|00:47:42|+0.37|0.69|0.5728| +|x| 1| 17| 23| 666.8885207| 41|00:48:22|+0.33|0.55|0.4822| +|x| 4| 17| 23| 800.3978055| 53|00:36:28|+0.34|0.50|0.4187| +|-| 7| 11| 23| 740.3182444| 65|00:47:12|+0.12|0.29|0.7473| +|=| 5| 11| 23| 666.9318703| 71|00:48:20|+0.09|0.25|0.6194| +|=| 3| 11| 23| 643.0844653| 77|00:44:48|+0.12|0.24|0.6327| +|=| 2| 11| 23| 713.3726814| 83|00:28:54|+0.05|0.17|0.6903| +|=| 9| 11| 23| 667.4423834| 94|00:48:21|+0.04|0.15|0.6127| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 23 mean value: 667.4423834 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +23 23 9 88 0.5967 57 20 45 7 19 10 + +# 2023-09-02 05:31:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +23 9 88 0.59670 57 20 45 7 19 +10 10 116 0.74754 60 22 39 3 55 +18 8 77 0.44382 30 25 21 1 57 +8 8 108 0.71117 77 40 46 24 86 +28 9 102 0.79830 58 7 48 21 44 +# 2023-09-02 05:31:41 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 190 +# remainingBudget: 310 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 31| 500.0000010| 14|01:14:05| NA| NA| NA| +|x| 8| 14| 18| 850.2311375| 23|00:37:04|+0.45|0.73|0.7540| +|x| 7| 14| 31| 733.5789897| 32|00:47:04|+0.02|0.35|0.9959| +|x| 6| 14| 23| 675.1667402| 41|00:47:36|+0.08|0.31|0.9019| +|=| 3| 14| 29| 640.0987726| 50|00:47:25|+0.05|0.24|0.8894| +|=| 4| 14| 23| 733.5987760| 59|00:36:44|+0.04|0.20|0.9016| +|=| 1| 14| 23| 671.6560937| 68|00:48:20|+0.03|0.17|0.7767| +|=| 5| 14| 23| 625.1990820| 77|00:48:20|+0.03|0.15|0.6820| +|=| 9| 14| 23| 589.0658507| 86|00:48:19|+0.02|0.13|0.6078| +|=| 2| 14| 35| 650.3547142| 95|00:36:14|+0.03|0.13|0.6427| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 650.3547142 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 73 0.48175 78 2 53 35 39 23 + +# 2023-09-02 13:22:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 73 0.48175 78 2 53 35 39 +29 7 77 0.60702 61 20 47 27 13 +23 9 88 0.59670 57 20 45 7 19 +36 9 119 0.93812 68 47 30 21 87 +30 10 50 0.91965 68 7 83 22 40 +# 2023-09-02 13:22:58 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 29| 1200.101376| 14|00:56:33| NA| NA| NA| +|x| 1| 14| 29| 750.0506880| 23|00:48:19|+0.00|0.50|0.4643| +|x| 3| 14| 35| 666.7337900| 32|00:46:58|+0.22|0.48|0.6452| +|x| 10| 14| 35| 625.0503448| 41|00:46:59|+0.06|0.29|0.7664| +|=| 2| 14| 35| 740.1554280| 50|00:37:13|+0.08|0.27|0.7722| +|=| 4| 14| 35| 816.9551190| 59|00:37:02|+0.06|0.22|0.8066| +|=| 9| 14| 35| 743.1043877| 68|00:48:20|+0.05|0.19|0.6867| +|=| 6| 14| 35| 712.7163451| 77|00:46:58|+0.07|0.19|0.7044| +|=| 5| 14| 35| 666.8589734| 86|00:48:20|+0.06|0.17|0.6253| +|=| 8| 14| 29| 720.3794559| 95|00:36:02|+0.07|0.17|0.6411| +|-| 7| 10| 29| 700.3449634| 104|00:47:47|-0.01|0.08|0.6880| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 700.3449634 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 7 77 0.60702 61 20 47 27 13 10 + +# 2023-09-02 21:43:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 77 0.60702 61 20 47 27 13 +35 9 73 0.48175 78 2 53 35 39 +30 10 50 0.91965 68 7 83 22 40 +38 9 52 0.88734 73 31 96 26 52 +36 9 119 0.93812 68 47 30 21 87 +# 2023-09-02 21:43:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 29| 300.0000000| 13|01:12:32| NA| NA| NA| +|x| 5| 13| 29| 300.0000000| 21|00:48:19|+1.00|1.00|0.0000| +|x| 6| 13| 29| 366.6666667| 29|00:46:44|+0.00|0.33|0.3077| +|x| 1| 13| 29| 350.0000000| 37|00:48:20|+0.00|0.25|0.2308| +|=| 3| 13| 30| 380.0000000| 45|00:47:30|-0.02|0.19|0.3613| +|=| 2| 13| 50| 516.8864257| 53|00:37:55|+0.05|0.21|0.4013| +|-| 11| 11| 29| 614.3540863| 61|00:38:00|-0.02|0.13|0.5146| +|=| 7| 11| 29| 600.0598303| 67|00:46:39|-0.07|0.07|0.5568| +|=| 8| 11| 29| 666.7746917| 73|00:35:38|-0.06|0.06|0.6113| +|=| 9| 11| 29| 630.0972225| 79|00:48:20|-0.05|0.05|0.5497| +|=| 10| 11| 29| 618.2702240| 85|00:46:39|-0.01|0.08|0.5772| +|=| 4| 11| 29| 666.9828831| 91|00:35:22|-0.02|0.07|0.5889| +|=| 13| 11| 29| 638.7534305| 102|00:48:20|-0.02|0.06|0.5449| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 638.7534305 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 7 77 0.60702 61 20 47 27 13 10 + +# 2023-09-03 07:43:59 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 77 0.60702 61 20 47 27 13 +35 9 73 0.48175 78 2 53 35 39 +30 10 50 0.91965 68 7 83 22 40 +38 9 52 0.88734 73 31 96 26 52 +36 9 119 0.93812 68 47 30 21 87 +# 2023-09-03 07:43:59 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 975725.4, CPU sys time: 134.175, Wall-clock time: 136663.1 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 7 77 0.60702 61 20 47 27 13 +35 9 73 0.48175 78 2 53 35 39 +30 10 50 0.91965 68 7 83 22 40 +38 9 52 0.88734 73 31 96 26 52 +36 9 119 0.93812 68 47 30 21 87 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +29 -K7 -k77 -M0.60702 -Q61 -G20 -D47 -O27 -L13 +35 -K9 -k73 -M0.48175 -Q78 -G2 -D53 -O35 -L39 +30 -K10 -k50 -M0.91965 -Q68 -G7 -D83 -O22 -L40 +38 -K9 -k52 -M0.88734 -Q73 -G31 -D96 -O26 -L52 +36 -K9 -k119 -M0.93812 -Q68 -G47 -D30 -O21 -L87 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 07:43:59 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-59.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-59.txt new file mode 100644 index 000000000..904699993 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-59.txt @@ -0,0 +1,290 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-03 07:43:59 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1846357141 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-03 07:43:59 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 1200.414712| 16|00:46:30| NA| NA| NA| +|x| 2| 16| 2| 850.2073560| 32|00:48:58|+0.27|0.64|0.7818| +|x| 3| 16| 2| 666.8049040| 48|00:49:10|+0.24|0.49|0.8600| +|x| 4| 16| 2| 800.1969460| 64|00:46:39|+0.35|0.52|0.7702| +|-| 5| 7| 2| 700.1575568| 80|00:49:10|+0.17|0.34|0.5307| +|-| 6| 3| 2| 666.7979640| 87|00:47:37|+0.07|0.22|0.2896| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 666.7979640 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-03 12:32:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +11 8 101 0.93705 87 46 33 14 20 +3 8 78 0.68733 98 83 20 49 51 +# 2023-09-03 12:32:07 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 87 +# remainingBudget: 413 +# currentBudget: 103 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 17| 27| 500.0000000| 17|01:06:47| NA| NA| NA| +|x| 5| 17| 2| 400.0000105| 31|00:54:06|-0.29|0.36|1.1544| +|x| 3| 17| 2| 366.6666737| 45|00:54:05|-0.13|0.25|0.7696| +|x| 1| 17| 2| 575.1036833| 59|00:44:37|+0.08|0.31|0.8361| +|=| 4| 17| 2| 700.1575610| 73|00:44:04|+0.09|0.27|0.8572| +|-| 2| 6| 2| 666.7979675| 87|00:53:20|+0.08|0.24|0.5684| +|=| 6| 6| 2| 642.9696864| 90|00:45:28|+0.12|0.25|0.5879| +|-| 8| 2| 2| 712.6081421| 96|00:31:13|+0.11|0.23|0.2768| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 712.6081421 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-03 19:05:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +11 8 101 0.93705 87 46 33 14 20 +# 2023-09-03 19:05:52 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 13| 2| 300.0000000| 13|01:08:50| NA| NA| NA| +|x| 3| 13| 2| 300.0000000| 24|00:49:18|+1.00|1.00|0.0000| +|x| 8| 13| 2| 600.0257773| 35|00:39:18|+0.00|0.33|0.3077| +|x| 7| 13| 2| 575.0193383| 46|00:49:16|+0.06|0.30|0.4555| +|=| 1| 13| 2| 700.0984130| 57|00:39:34|+0.14|0.31|0.5593| +|=| 4| 13| 2| 783.4775228| 68|00:39:56|+0.11|0.26|0.6133| +|-| 2| 5| 2| 742.9807339| 79|00:49:15|+0.11|0.24|0.5320| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 666.7627930 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-04 00:41:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +11 8 101 0.93705 87 46 33 14 20 +38 10 98 0.78413 65 5 37 11 40 +41 10 44 0.59072 44 25 47 21 25 +34 10 122 0.42810 87 18 26 23 47 +# 2023-09-04 00:41:23 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 262 +# remainingBudget: 238 +# currentBudget: 119 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 2| 300.0000000| 16|01:28:32| NA| NA| NA| +|x| 4| 16| 42| 750.0546425| 27|00:43:27|+0.00|0.50|0.4688| +|x| 9| 16| 42| 600.0364283| 38|00:49:14|+0.00|0.33|0.3125| +|x| 8| 16| 2| 750.1126010| 49|00:43:04|+0.17|0.38|0.3880| +|=| 5| 16| 2| 660.0900808| 63|01:13:44|+0.13|0.30|0.3265| +|-| 6| 7| 2| 633.4084007| 77|01:12:08|+0.15|0.29|0.3363| +|=| 1| 7| 2| 714.4093023| 79|00:29:53|+0.10|0.23|0.4443| +|=| 7| 7| 2| 687.6081421| 81|00:45:44|+0.03|0.15|0.5152| +|=| 3| 7| 2| 644.5405708| 83|00:49:10|+0.02|0.13|0.4602| +|=| 2| 7| 2| 630.0865137| 85|00:45:45|+0.02|0.12|0.4991| +|=| 11| 7| 2| 618.2604671| 92|00:48:58|+0.05|0.13|0.5157| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 618.2604671 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-04 10:31:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +11 8 101 0.93705 87 46 33 14 20 +38 10 98 0.78413 65 5 37 11 40 +42 10 104 0.74554 91 57 33 7 30 +51 9 81 0.74449 56 8 41 14 60 +# 2023-09-04 10:31:08 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 354 +# remainingBudget: 146 +# currentBudget: 146 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 16| 55| 1200.429575| 16|01:03:05| NA| NA| NA| +|x| 8| 16| 2| 1200.266271| 27|00:36:23|-0.15|0.43|1.2582| +|x| 4| 16| 2| 1200.301871| 38|00:37:58|+0.13|0.42|1.0437| +|x| 3| 16| 2| 975.2264032| 49|00:49:16|+0.14|0.35|0.9515| +|=| 9| 16| 2| 840.1811226| 60|00:49:14|+0.16|0.33|0.8287| +|-| 6| 9| 2| 783.4842688| 71|00:48:47|+0.02|0.19|0.6347| +|=| 11| 9| 11| 743.0247394| 75|00:45:52|+0.01|0.15|0.6392| +|=| 7| 9| 11| 712.6487294| 79|00:45:51|-0.03|0.10|0.6735| +|=| 5| 9| 11| 666.7988706| 83|00:49:11|-0.03|0.09|0.5979| +|=| 1| 9| 2| 720.1320347| 87|00:30:16|-0.04|0.06|0.6290| +|=| 10| 9| 2| 681.9382134| 91|00:49:11|-0.04|0.06|0.5712| +|=| 2| 9| 2| 666.7766956| 95|00:46:00|-0.02|0.07|0.5866| +|=| 13| 9| 2| 653.9477190| 104|00:48:42|-0.01|0.07|0.5888| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 653.9477190 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-04 20:31:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +11 8 101 0.93705 87 46 33 14 20 +38 10 98 0.78413 65 5 37 11 40 +42 10 104 0.74554 91 57 33 7 30 +55 7 90 0.83547 86 60 23 0 24 +# 2023-09-04 20:31:01 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 458 +# remainingBudget: 42 +# currentBudget: 42 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 7| 2| 300.0000000| 7|00:49:14| NA| NA| NA| +|x| 6| 7| 2| 400.0000000| 9|00:45:19|+0.00|0.50|0.4286| +|x| 3| 7| 2| 366.6666667| 11|00:49:10|+0.00|0.33|0.2857| +|x| 1| 7| 2| 575.1036780| 13|00:31:39|-0.14|0.14|0.4709| +|=| 9| 7| 2| 520.0829424| 15|00:49:10|-0.11|0.11|0.3682| +|=| 11| 7| 2| 516.7357855| 17|00:45:18|-0.09|0.09|0.4574| +|=| 8| 7| 2| 614.3560064| 19|00:31:44|+0.01|0.15|0.4949| +|=| 4| 7| 2| 687.6081396| 21|00:32:12|+0.06|0.18|0.5069| +|=| 13| 7| 2| 666.7627908| 23|00:45:20|+0.10|0.20|0.5079| +|=| 5| 7| 2| 630.0865117| 25|00:49:10|+0.09|0.18|0.4635| +|=| 2| 7| 2| 618.2604652| 27|00:45:17|+0.04|0.12|0.5284| +|=| 12| 7| 2| 666.7766938| 29|00:32:06|-0.02|0.07|0.5805| +|=| 10| 7| 2| 638.5631020| 31|00:49:10|-0.02|0.06|0.5352| +|=| 7| 7| 2| 628.6657391| 33|00:45:19|-0.04|0.03|0.5644| +|=| 15| 7| 2| 666.7615439| 40|00:36:20|-0.02|0.05|0.5739| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 666.7615439 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 10 107 0.94231 51 27 8 44 47 NA + +# 2023-09-05 07:07:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +65 10 105 0.93454 61 35 2 28 70 +42 10 104 0.74554 91 57 33 7 30 +11 8 101 0.93705 87 46 33 14 20 +55 7 90 0.83547 86 60 23 0 24 +# 2023-09-05 07:07:39 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 1059664, CPU sys time: 194.37, Wall-clock time: 170619.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 10 107 0.94231 51 27 8 44 47 +65 10 105 0.93454 61 35 2 28 70 +42 10 104 0.74554 91 57 33 7 30 +11 8 101 0.93705 87 46 33 14 20 +55 7 90 0.83547 86 60 23 0 24 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +2 -K10 -k107 -M0.94231 -Q51 -G27 -D8 -O44 -L47 +65 -K10 -k105 -M0.93454 -Q61 -G35 -D2 -O28 -L70 +42 -K10 -k104 -M0.74554 -Q91 -G57 -D33 -O7 -L30 +11 -K8 -k101 -M0.93705 -Q87 -G46 -D33 -O14 -L20 +55 -K7 -k90 -M0.83547 -Q86 -G60 -D23 -O0 -L24 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-05 07:07:39 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-6.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-6.txt new file mode 100644 index 000000000..7cba051aa --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-6.txt @@ -0,0 +1,292 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 01:08:42 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1559607260 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 01:08:42 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 1209.998904| 16|00:04:50| NA| NA| NA| +|x| 2| 16| 6| 755.9690550| 32|00:06:00|-0.29|0.36|1.1115| +|x| 3| 16| 5| 672.3362247| 48|00:05:49|+0.02|0.35|0.9302| +|x| 4| 16| 5| 629.2547302| 64|00:05:49|+0.19|0.39|0.7934| +|=| 5| 16| 5| 563.4037842| 80|00:06:00|+0.10|0.28|0.8738| +|=| 6| 16| 5| 673.9492303| 96|00:04:53|+0.06|0.22|0.9007| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 673.9492303 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 5 24 0.31717 69 45 64 31 25 NA + +# 2023-09-02 01:42:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 5 24 0.31717 69 45 64 31 25 +8 3 98 0.57172 83 41 89 21 60 +4 9 12 0.46774 64 97 32 16 17 +16 10 32 0.26145 52 32 22 77 32 +9 3 32 0.49156 30 79 7 8 48 +# 2023-09-02 01:42:06 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 29| 1208.719465| 18|00:04:18| NA| NA| NA| +|x| 6| 18| 23| 1221.835840| 31|00:03:35|+0.05|0.53|0.7855| +|x| 5| 18| 23| 914.5572270| 44|00:04:59|+0.03|0.35|0.9299| +|x| 1| 18| 29| 987.8623183| 57|00:03:22|+0.10|0.32|0.8412| +|-| 4| 12| 29| 890.3071354| 70|00:04:48|-0.03|0.18|0.9024| +|=| 3| 12| 29| 825.2854083| 77|00:04:44|+0.01|0.18|0.8876| +|=| 2| 12| 29| 750.2446357| 84|00:05:00|+0.02|0.16|0.8431| +|=| 8| 12| 17| 721.3722233| 96|00:04:53|+0.05|0.17|0.8280| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 721.3722233 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 10 22 0.1691 46 8 28 24 15 16 + +# 2023-09-02 02:17:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 10 22 0.16910 46 8 28 24 15 +5 5 24 0.31717 69 45 64 31 25 +19 9 65 0.46361 95 54 76 5 34 +29 3 17 0.62993 82 68 53 29 86 +23 7 13 0.54882 23 95 27 51 13 +# 2023-09-02 02:17:50 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 17| 300.0000000| 15|00:06:30| NA| NA| NA| +|x| 6| 15| 31| 760.4972370| 25|00:03:23|+0.00|0.50|0.4667| +|x| 7| 15| 31| 910.6308363| 35|00:03:19|+0.15|0.43|0.4944| +|x| 4| 15| 29| 807.8453425| 45|00:04:50|-0.00|0.25|0.6423| +|=| 5| 15| 29| 706.2762740| 55|00:05:00|-0.00|0.20|0.5254| +|=| 3| 15| 31| 672.0321850| 65|00:04:51|-0.05|0.12|0.6137| +|=| 1| 15| 29| 750.2446357| 75|00:03:17|-0.07|0.08|0.6956| +|=| 2| 15| 29| 693.9640562| 85|00:04:59|-0.06|0.07|0.6050| +|=| 8| 15| 31| 672.6567378| 95|00:04:52|-0.03|0.08|0.6506| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 672.6567378 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 10 1 0.41209 80 43 26 5 21 17 + +# 2023-09-02 02:58:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 10 1 0.41209 80 43 26 5 21 +5 5 24 0.31717 69 45 64 31 25 +17 10 22 0.16910 46 8 28 24 15 +29 3 17 0.62993 82 68 53 29 86 +19 9 65 0.46361 95 54 76 5 34 +# 2023-09-02 02:58:55 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 43| 1201.664509| 15|00:04:27| NA| NA| NA| +|x| 9| 15| 40| 753.7493295| 25|00:04:59|-0.32|0.34|1.5947| +|x| 2| 15| 40| 602.4995530| 35|00:04:59|+0.07|0.38|1.0330| +|x| 4| 15| 47| 577.0979438| 45|00:04:52|+0.03|0.27|0.9526| +|=| 1| 15| 47| 702.9503114| 55|00:03:25|+0.04|0.24|0.8574| +|=| 7| 15| 47| 789.9284837| 65|00:03:29|+0.00|0.17|0.8919| +|=| 5| 15| 47| 719.9387003| 75|00:05:00|+0.07|0.21|0.8276| +|=| 3| 15| 17| 696.2171188| 85|00:04:51|+0.06|0.18|0.8486| +|=| 6| 15| 47| 751.3406708| 95|00:03:30|+0.01|0.12|0.9002| +|=| 8| 15| 31| 727.6245075| 105|00:04:52|+0.01|0.11|0.9103| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 727.6245075 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 10 1 0.41209 80 43 26 5 21 17 + +# 2023-09-02 03:43:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 10 1 0.41209 80 43 26 5 21 +47 10 16 0.48020 90 50 39 15 18 +17 10 22 0.16910 46 8 28 24 15 +44 10 13 0.21859 61 36 42 7 26 +5 5 24 0.31717 69 45 64 31 25 +# 2023-09-02 03:43:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 392 +# remainingBudget: 108 +# currentBudget: 108 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 17| 500.0156350| 14|00:06:52| NA| NA| NA| +|x| 7| 14| 17| 861.7029260| 23|00:03:41|+0.03|0.51|1.3809| +|x| 9| 14| 17| 674.4686173| 32|00:05:00|+0.01|0.34|0.7698| +|x| 8| 14| 17| 630.8714105| 41|00:04:56|+0.21|0.41|0.7182| +|-| 5| 10| 17| 564.6971284| 50|00:05:00|-0.06|0.15|0.6158| +|=| 1| 10| 5| 673.6527627| 55|00:03:02|-0.06|0.12|0.6776| +|=| 3| 10| 17| 649.4656491| 60|00:04:42|-0.03|0.12|0.6915| +|=| 10| 10| 17| 721.2280792| 65|00:02:59|-0.06|0.07|0.7459| +|=| 6| 10| 58| 772.6282310| 70|00:03:03|-0.04|0.08|0.7570| +|=| 2| 10| 58| 725.3654079| 75|00:04:59|-0.03|0.07|0.6756| +|=| 4| 10| 58| 704.8907045| 80|00:04:49|-0.01|0.08|0.6881| +|=| 12| 10| 58| 671.1498125| 90|00:05:00|-0.01|0.08|0.6279| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 58 mean value: 671.1498125 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +58 58 9 27 0.63473 87 54 35 2 21 47 + +# 2023-09-02 04:37:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +58 9 27 0.63473 87 54 35 2 21 +17 10 22 0.16910 46 8 28 24 15 +57 4 23 0.32253 88 28 53 48 19 +44 10 13 0.21859 61 36 42 7 26 +5 5 24 0.31717 69 45 64 31 25 +# 2023-09-02 04:37:33 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 482 +# remainingBudget: 18 +# currentBudget: 18 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 58| 300.0000000| 6|00:04:59| NA| NA| NA| +|x| 1| 6| 44| 756.6134725| 7|00:01:56|-0.12|0.44|0.6227| +|x| 4| 6| 44| 671.0874147| 8|00:03:39|+0.04|0.36|0.6601| +|x| 11| 6| 44| 628.3263177| 9|00:03:38|+0.20|0.40|0.5872| +|=| 10| 6| 44| 747.3683988| 10|00:01:55|-0.10|0.12|0.8233| +|=| 8| 6| 17| 707.7335947| 11|00:03:37|-0.11|0.07|0.8894| +|=| 9| 6| 17| 649.4859383| 12|00:03:59|-0.09|0.06|0.7543| +|=| 5| 6| 17| 605.8001960| 13|00:04:00|-0.08|0.06|0.6550| +|=| 6| 6| 44| 673.2596648| 14|00:02:00|-0.11|0.01|0.7102| +|=| 2| 6| 44| 635.9336983| 15|00:04:00|-0.10|0.01|0.6329| +|=| 12| 6| 44| 605.3942712| 16|00:03:59|-0.09|0.01|0.5709| +|=| 3| 6| 17| 597.5973578| 17|00:03:39|-0.08|0.01|0.5966| +|=| 7| 6| 59| 645.3930237| 18|00:02:00|-0.06|0.02|0.6130| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 59 mean value: 645.3930237 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +59 59 8 18 0.28805 68 5 24 21 33 17 + +# 2023-09-02 05:21:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +59 8 18 0.28805 68 5 24 21 33 +58 9 27 0.63473 87 54 35 2 21 +17 10 22 0.16910 46 8 28 24 15 +5 5 24 0.31717 69 45 64 31 25 +44 10 13 0.21859 61 36 42 7 26 +# 2023-09-02 05:21:02 -03: Stopped because budget is exhausted +# Iteration: 7 +# nbIterations: 6 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 18 +# number of elites: 5 +# nbConfigurations: 6 +# Total CPU user time: 89590.95, CPU sys time: 10.041, Wall-clock time: 15139.82 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +59 8 18 0.28805 68 5 24 21 33 +58 9 27 0.63473 87 54 35 2 21 +17 10 22 0.16910 46 8 28 24 15 +5 5 24 0.31717 69 45 64 31 25 +44 10 13 0.21859 61 36 42 7 26 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +59 -K8 -k18 -M0.28805 -Q68 -G5 -D24 -O21 -L33 +58 -K9 -k27 -M0.63473 -Q87 -G54 -D35 -O2 -L21 +17 -K10 -k22 -M0.1691 -Q46 -G8 -D28 -O24 -L15 +5 -K5 -k24 -M0.31717 -Q69 -G45 -D64 -O31 -L25 +44 -K10 -k13 -M0.21859 -Q61 -G36 -D42 -O7 -L26 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 05:21:02 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-7.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-7.txt new file mode 100644 index 000000000..cdedca897 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-7.txt @@ -0,0 +1,259 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 05:21:02 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1173441171 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 05:21:02 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 300.0000000| 16|00:05:49| NA| NA| NA| +|x| 2| 16| 12| 753.3467780| 32|00:05:03|+0.16|0.58|0.6375| +|x| 3| 16| 12| 668.9318177| 48|00:05:48|+0.32|0.55|0.5421| +|x| 4| 16| 12| 626.7262915| 64|00:05:48|+0.39|0.54|0.5205| +|-| 5| 8| 12| 745.2637920| 80|00:05:02|+0.04|0.23|0.8091| +|=| 6| 8| 12| 671.0531600| 88|00:05:49|-0.01|0.16|0.8325| +|=| 7| 8| 12| 749.8103329| 96|00:03:47|+0.00|0.15|0.8444| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 749.8103329 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 10 7 0.15293 95 53 48 44 48 NA + +# 2023-09-02 05:58:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 10 7 0.15293 95 53 48 44 48 +4 2 55 0.36916 61 77 95 12 35 +2 8 54 0.99180 69 31 9 20 59 +9 9 5 0.28242 29 49 28 40 51 +15 5 11 0.24997 66 73 11 20 32 +# 2023-09-02 05:58:13 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 23| 500.0051910| 17|00:06:44| NA| NA| NA| +|x| 7| 17| 4| 855.1696495| 29|00:03:58|+0.49|0.74|0.5702| +|x| 4| 17| 23| 739.6556270| 41|00:04:56|+0.34|0.56|0.7760| +|x| 2| 17| 23| 860.4083745| 53|00:03:52|+0.14|0.36|0.8513| +|-| 3| 12| 23| 788.3498388| 65|00:05:01|-0.11|0.11|0.9766| +|=| 5| 12| 21| 857.8054723| 72|00:03:20|-0.07|0.11|0.9655| +|=| 1| 12| 21| 778.1189763| 79|00:04:39|-0.06|0.09|0.9497| +|=| 6| 12| 21| 718.3541042| 86|00:04:39|-0.03|0.10|0.9108| +|=| 9| 12| 21| 671.8703149| 98|00:05:49|+0.00|0.11|0.8759| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 671.8703149 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 5 27 0.97635 81 16 34 33 6 2 + +# 2023-09-02 06:41:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 27 0.97635 81 16 34 33 6 +23 7 19 0.34507 38 53 60 62 36 +12 10 7 0.15293 95 53 48 44 48 +19 2 60 0.34938 47 68 100 29 22 +26 8 15 0.65137 54 42 36 33 65 +# 2023-09-02 06:41:18 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 194 +# remainingBudget: 306 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 12| 500.0401090| 14|00:05:43| NA| NA| NA| +|x| 1| 14| 12| 400.0200545| 23|00:05:50|+0.00|0.50|0.4643| +|x| 8| 14| 21| 433.3697163| 32|00:05:36|+0.19|0.46|0.5219| +|x| 5| 14| 21| 625.4934470| 41|00:04:18|+0.18|0.39|0.5648| +|-| 4| 8| 21| 600.4059160| 50|00:05:36|-0.10|0.12|0.7848| +|=| 9| 8| 21| 550.3382633| 53|00:05:49|-0.08|0.10|0.6399| +|=| 6| 8| 21| 514.5756543| 56|00:05:49|-0.06|0.09|0.5404| +|=| 2| 8| 21| 603.0981282| 59|00:03:57|-0.04|0.09|0.5885| +|=| 7| 8| 21| 671.8702783| 62|00:03:56|-0.03|0.09|0.6265| +|=| 3| 8| 21| 654.6881955| 65|00:05:24|+0.02|0.12|0.6343| +|=| 11| 8| 21| 622.4438141| 73|00:05:50|+0.02|0.11|0.5746| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 622.4438141 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 5 27 0.97635 81 16 34 33 6 2 + +# 2023-09-02 07:39:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 27 0.97635 81 16 34 33 6 +35 10 9 0.31695 70 41 63 86 36 +12 10 7 0.15293 95 53 48 44 48 +23 7 19 0.34507 38 53 60 62 36 +26 8 15 0.65137 54 42 36 33 65 +# 2023-09-02 07:39:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 267 +# remainingBudget: 233 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 40| 1214.211505| 14|00:05:32| NA| NA| NA| +|x| 8| 14| 42| 857.1248215| 23|00:05:09|-0.04|0.48|0.8972| +|x| 1| 14| 42| 671.4165477| 32|00:05:14|-0.09|0.27|0.9064| +|x| 7| 14| 42| 808.9404210| 41|00:04:26|-0.06|0.20|0.9031| +|=| 5| 14| 42| 888.3985990| 50|00:04:27|-0.04|0.17|0.9287| +|=| 11| 14| 42| 790.3321658| 59|00:05:15|-0.05|0.13|1.0071| +|=| 9| 14| 42| 720.2847136| 68|00:05:15|-0.04|0.11|0.9965| +|=| 3| 14| 42| 692.7616320| 77|00:05:09|-0.03|0.10|1.0132| +|=| 10| 14| 42| 671.3552134| 86|00:05:08|-0.01|0.10|0.9814| +|=| 2| 14| 42| 724.8116178| 95|00:04:21|+0.01|0.11|0.9552| +|=| 6| 14| 42| 686.1923798| 104|00:05:14|+0.00|0.09|0.9422| +|=| 4| 14| 42| 670.6822467| 113|00:05:08|+0.02|0.11|0.9341| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 670.6822467 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 5 53 0.55353 55 32 58 15 27 21 + +# 2023-09-02 08:39:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 5 53 0.55353 55 32 58 15 27 +21 5 27 0.97635 81 16 34 33 6 +12 10 7 0.15293 95 53 48 44 48 +35 10 9 0.31695 70 41 63 86 36 +26 8 15 0.65137 54 42 36 33 65 +# 2023-09-02 08:39:35 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 380 +# remainingBudget: 120 +# currentBudget: 120 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 48| 1204.471207| 13|00:04:43| NA| NA| NA| +|x| 4| 13| 21| 852.2664130| 21|00:05:39|-0.30|0.35|1.4717| +|x| 12| 13| 21| 975.6082377| 29|00:04:19|+0.04|0.36|1.0563| +|x| 8| 13| 42| 859.2585198| 37|00:05:42|+0.06|0.30|0.9289| +|=| 7| 13| 48| 928.3700722| 45|00:04:21|+0.06|0.25|0.8968| +|=| 6| 13| 54| 821.8855657| 53|00:05:50|+0.01|0.18|0.9252| +|=| 5| 13| 21| 878.6852656| 61|00:04:29|+0.04|0.17|0.9266| +|=| 9| 13| 21| 806.3496074| 69|00:05:50|+0.03|0.15|0.8103| +|=| 11| 13| 21| 750.0885399| 77|00:05:49|+0.03|0.14|0.7200| +|=| 1| 13| 21| 705.0796859| 85|00:05:50|+0.02|0.12|0.6478| +|=| 10| 13| 54| 686.6711454| 93|00:05:39|+0.06|0.15|0.6520| +|=| 2| 13| 54| 731.3215972| 101|00:04:12|+0.05|0.12|0.6736| +|-| 3| 10| 54| 713.5294542| 109|00:05:42|-0.02|0.05|0.7042| +|=| 14| 10| 54| 683.9916360| 119|00:05:50|-0.02|0.05|0.6531| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 683.9916360 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 7 14 0.93074 69 27 27 28 0 21 + +# 2023-09-02 09:53:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 7 14 0.93074 69 27 27 28 0 +21 5 27 0.97635 81 16 34 33 6 +42 5 53 0.55353 55 32 58 15 27 +53 10 12 0.15488 94 37 71 44 35 +51 9 15 0.29928 82 36 26 87 14 +# 2023-09-02 09:53:36 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 102189.1, CPU sys time: 11.507, Wall-clock time: 16353.9 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 7 14 0.93074 69 27 27 28 0 +21 5 27 0.97635 81 16 34 33 6 +42 5 53 0.55353 55 32 58 15 27 +53 10 12 0.15488 94 37 71 44 35 +51 9 15 0.29928 82 36 26 87 14 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +54 -K7 -k14 -M0.93074 -Q69 -G27 -D27 -O28 -L0 +21 -K5 -k27 -M0.97635 -Q81 -G16 -D34 -O33 -L6 +42 -K5 -k53 -M0.55353 -Q55 -G32 -D58 -O15 -L27 +53 -K10 -k12 -M0.15488 -Q94 -G37 -D71 -O44 -L35 +51 -K9 -k15 -M0.29928 -Q82 -G36 -D26 -O87 -L14 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 09:53:36 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-8.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-8.txt new file mode 100644 index 000000000..9cf579013 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-8.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:45:30 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 161852666 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:45:30 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 10| 500.0424470| 16|00:07:08| NA| NA| NA| +|x| 2| 16| 5| 400.0431495| 32|00:07:20|-0.31|0.35|1.2483| +|x| 3| 16| 6| 673.7838487| 48|00:06:01|-0.03|0.31|1.0492| +|x| 4| 16| 6| 580.3378865| 64|00:07:19|+0.09|0.32|0.9794| +|=| 5| 16| 6| 564.2802292| 80|00:07:07|+0.11|0.29|0.9169| +|=| 6| 16| 6| 674.0270078| 96|00:05:58|+0.07|0.22|0.9321| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 674.0270078 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 5 29 0.9489 85 50 85 30 21 NA + +# 2023-08-29 17:26:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 5 29 0.94890 85 50 85 30 21 +7 8 99 0.67253 30 26 94 12 60 +4 6 65 0.21863 71 39 92 88 51 +5 10 56 0.11676 85 86 79 9 66 +9 6 87 0.83807 45 34 91 64 43 +# 2023-08-29 17:26:26 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 24| 1206.672835| 18|00:06:49| NA| NA| NA| +|x| 5| 18| 24| 853.3768840| 31|00:06:33|-0.04|0.48|1.1520| +|x| 3| 18| 24| 970.8060643| 44|00:05:25|+0.26|0.51|0.8441| +|x| 1| 18| 24| 853.1099933| 57|00:06:32|+0.12|0.34|0.8912| +|=| 6| 18| 24| 926.7848822| 70|00:05:25|+0.10|0.28|0.9399| +|-| 4| 12| 24| 822.3207352| 83|00:06:39|-0.01|0.16|0.7770| +|=| 2| 12| 24| 747.7034873| 90|00:06:40|-0.01|0.13|0.6641| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 747.7034873 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 13 0.68984 87 46 38 68 10 6 + +# 2023-08-29 18:10:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 13 0.68984 87 46 38 68 10 +4 6 65 0.21863 71 39 92 88 51 +6 5 29 0.94890 85 50 85 30 21 +21 10 108 0.59772 55 71 87 4 33 +7 8 99 0.67253 30 26 94 12 60 +# 2023-08-29 18:10:33 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 186 +# remainingBudget: 314 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 24| 300.0000000| 17|00:10:39| NA| NA| NA| +|x| 4| 17| 24| 300.0000000| 29|00:06:40|+1.00|1.00|0.0000| +|x| 6| 17| 4| 600.7797330| 41|00:05:47|-0.09|0.27|0.6440| +|x| 7| 17| 24| 757.0393182| 53|00:05:46|+0.01|0.26|0.7789| +|=| 5| 17| 24| 705.6476412| 65|00:06:33|-0.00|0.20|0.8353| +|=| 1| 17| 24| 671.3766643| 77|00:06:33|-0.01|0.16|0.8752| +|=| 2| 17| 24| 618.3228551| 89|00:06:40|+0.03|0.17|0.8440| +|=| 3| 17| 24| 691.7405514| 101|00:05:45|+0.07|0.19|0.8234| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 691.7405514 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 13 0.68984 87 46 38 68 10 6 + +# 2023-08-29 19:05:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 13 0.68984 87 46 38 68 10 +41 10 47 0.72302 70 10 37 80 17 +6 5 29 0.94890 85 50 85 30 21 +21 10 108 0.59772 55 71 87 4 33 +36 5 21 0.24779 88 56 88 39 28 +# 2023-08-29 19:05:01 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 44| 500.0405690| 16|00:09:40| NA| NA| NA| +|x| 6| 16| 44| 860.8047550| 27|00:05:49|-0.42|0.29|1.3941| +|x| 8| 16| 44| 673.8698367| 38|00:06:40|-0.21|0.19|0.7772| +|x| 7| 16| 44| 810.3032957| 49|00:05:52|-0.03|0.23|0.7599| +|=| 4| 16| 44| 708.2426366| 60|00:06:40|-0.02|0.18|0.5966| +|=| 2| 16| 44| 640.2021972| 71|00:06:40|-0.02|0.15|0.4915| +|=| 1| 16| 24| 618.3267290| 82|00:06:38|-0.00|0.14|0.5447| +|=| 3| 16| 24| 691.7439410| 93|00:05:56|+0.06|0.18|0.5489| +|=| 5| 16| 24| 670.4480512| 104|00:06:39|+0.07|0.17|0.5755| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 670.4480512 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 13 0.68984 87 46 38 68 10 6 + +# 2023-08-29 20:05:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 13 0.68984 87 46 38 68 10 +44 9 63 0.98944 65 64 87 99 18 +42 7 78 0.82897 49 53 68 46 34 +21 10 108 0.59772 55 71 87 4 33 +41 10 47 0.72302 70 10 37 80 17 +# 2023-08-29 20:05:40 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 21| 1205.043404| 15|00:07:49| NA| NA| NA| +|x| 5| 15| 62| 860.3137830| 25|00:06:37|+0.20|0.60|0.7943| +|x| 2| 15| 62| 673.5425220| 35|00:06:39|+0.10|0.40|0.5759| +|x| 8| 15| 62| 580.1568915| 45|00:06:40|+0.07|0.30|0.4435| +|=| 7| 15| 56| 708.0458468| 55|00:05:47|-0.04|0.17|0.5627| +|=| 1| 15| 56| 673.3787857| 65|00:06:37|-0.03|0.14|0.6108| +|=| 6| 15| 62| 750.6941834| 75|00:05:42|-0.00|0.14|0.6430| +|=| 9| 15| 62| 719.3644433| 85|00:06:38|-0.05|0.09|0.7233| +|=| 3| 15| 62| 773.2915586| 95|00:05:56|-0.02|0.09|0.7325| +|=| 4| 15| 62| 725.9624027| 105|00:06:39|-0.02|0.09|0.6586| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 62 mean value: 725.9624027 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +62 62 6 52 0.77863 98 38 33 72 1 24 + +# 2023-08-29 21:10:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +62 6 52 0.77863 98 38 33 72 1 +56 10 18 0.65050 92 28 52 73 9 +54 10 63 0.70593 62 64 98 85 14 +24 6 13 0.68984 87 46 38 68 10 +61 5 86 0.86663 48 57 74 58 34 +# 2023-08-29 21:10:49 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 125286.9, CPU sys time: 15.29, Wall-clock time: 15918.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +62 6 52 0.77863 98 38 33 72 1 +56 10 18 0.65050 92 28 52 73 9 +54 10 63 0.70593 62 64 98 85 14 +24 6 13 0.68984 87 46 38 68 10 +61 5 86 0.86663 48 57 74 58 34 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +62 -K6 -k52 -M0.77863 -Q98 -G38 -D33 -O72 -L1 +56 -K10 -k18 -M0.6505 -Q92 -G28 -D52 -O73 -L9 +54 -K10 -k63 -M0.70593 -Q62 -G64 -D98 -O85 -L14 +24 -K6 -k13 -M0.68984 -Q87 -G46 -D38 -O68 -L10 +61 -K5 -k86 -M0.86663 -Q48 -G57 -D74 -O58 -L34 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-29 21:10:49 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-9.txt b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-9.txt new file mode 100644 index 000000000..c4e3441b3 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/resultados-completos/result-irace-9.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-29 16:44:13 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1619447417 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-29 16:44:13 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1215.809810| 16|00:07:30| NA| NA| NA| +|x| 2| 16| 14| 857.9464485| 32|00:08:55|+0.17|0.59|0.5911| +|x| 3| 16| 14| 671.9642990| 48|00:09:00|+0.18|0.46|0.8152| +|x| 4| 16| 14| 578.9732242| 64|00:08:59|+0.29|0.47|0.7162| +|-| 5| 11| 12| 705.2226298| 80|00:07:36|+0.00|0.20|0.8783| +|=| 6| 11| 12| 671.0349848| 91|00:07:26|+0.11|0.26|0.8641| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 671.0349848 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 10 91 0.45991 74 54 90 12 14 NA + +# 2023-08-29 17:33:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 10 91 0.45991 74 54 90 12 14 +14 10 78 0.81241 58 29 71 22 12 +7 5 48 0.85695 67 94 79 49 71 +11 4 117 0.91653 88 49 99 2 56 +13 7 72 0.40955 64 80 75 62 10 +# 2023-08-29 17:33:42 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 19| 500.0000200| 18|00:10:28| NA| NA| NA| +|x| 2| 18| 17| 500.0240070| 31|00:07:29|-0.02|0.49|0.8932| +|x| 1| 18| 28| 740.5125540| 44|00:06:53|-0.05|0.30|0.9132| +|x| 6| 18| 19| 680.1706475| 57|00:07:29|-0.04|0.22|0.9536| +|=| 3| 18| 19| 604.1365180| 70|00:07:31|+0.04|0.23|0.8506| +|=| 4| 18| 19| 553.4470983| 83|00:07:29|+0.12|0.27|0.7755| +|-| 5| 15| 19| 648.8903856| 96|00:06:58|-0.02|0.12|0.6886| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 648.8903856 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 93 0.58916 62 4 6 7 1 11 + +# 2023-08-29 18:28:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 93 0.58916 62 4 6 7 1 +12 10 91 0.45991 74 54 90 12 14 +28 9 120 0.57886 48 54 89 27 19 +17 10 105 0.56959 53 24 18 39 9 +26 5 53 0.16367 50 37 71 75 13 +# 2023-08-29 18:28:03 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 38| 1200.966128| 17|00:10:55| NA| NA| NA| +|x| 3| 17| 38| 750.4830640| 29|00:07:29|+0.38|0.69|0.7461| +|x| 4| 17| 38| 600.3220427| 41|00:07:30|+0.50|0.66|0.5037| +|x| 1| 17| 12| 757.1392230| 53|00:06:50|+0.47|0.60|0.4262| +|-| 2| 13| 34| 704.8087178| 65|00:07:28|-0.08|0.13|0.6068| +|=| 7| 13| 34| 670.6864518| 73|00:07:29|-0.06|0.12|0.6525| +|=| 6| 13| 19| 646.3152857| 81|00:07:28|+0.01|0.16|0.6672| +|=| 5| 13| 19| 718.2196386| 89|00:06:26|-0.03|0.10|0.7235| +|=| 9| 13| 19| 671.7507899| 102|00:11:14|-0.03|0.09|0.6396| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 671.7507899 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 93 0.58916 62 4 6 7 1 11 + +# 2023-08-29 19:40:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 93 0.58916 62 4 6 7 1 +34 9 93 0.48274 66 24 16 1 17 +12 10 91 0.45991 74 54 90 12 14 +38 8 100 0.89467 30 27 7 2 21 +28 9 120 0.57886 48 54 89 27 19 +# 2023-08-29 19:40:57 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 289 +# remainingBudget: 211 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 12| 1201.165215| 15|00:09:27| NA| NA| NA| +|x| 5| 15| 12| 1203.434964| 25|00:05:51|+0.07|0.54|1.0270| +|x| 3| 15| 12| 902.2899763| 35|00:07:29|+0.04|0.36|0.9734| +|x| 9| 15| 12| 751.7174822| 45|00:07:30|+0.14|0.36|0.8126| +|-| 2| 9| 12| 701.3929460| 55|00:07:25|+0.01|0.20|0.5710| +|=| 1| 9| 12| 787.8797273| 59|00:05:11|+0.11|0.26|0.5833| +|=| 6| 9| 46| 747.0290123| 63|00:06:42|+0.06|0.20|0.6314| +|=| 8| 9| 12| 804.4522977| 67|00:05:11|+0.02|0.14|0.6771| +|=| 4| 9| 12| 748.4020424| 71|00:06:45|+0.02|0.13|0.6007| +|=| 7| 9| 19| 724.7274875| 75|00:06:42|-0.01|0.09|0.6529| +|=| 11| 9| 19| 686.1158977| 84|00:07:30|-0.01|0.08|0.5908| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 686.1158977 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 93 0.58916 62 4 6 7 1 11 + +# 2023-08-29 20:56:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 93 0.58916 62 4 6 7 1 +12 10 91 0.45991 74 54 90 12 14 +46 9 81 0.50582 89 47 93 5 43 +34 9 93 0.48274 66 24 16 1 17 +43 9 107 0.57922 66 11 24 36 4 +# 2023-08-29 20:56:46 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 373 +# remainingBudget: 127 +# currentBudget: 127 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 56| 500.0016490| 15|00:11:12| NA| NA| NA| +|x| 3| 15| 54| 400.0176850| 25|00:07:30|-0.32|0.34|1.4610| +|x| 1| 15| 59| 667.4972130| 35|00:06:46|-0.10|0.26|1.1691| +|x| 9| 15| 59| 575.6229097| 45|00:07:30|-0.10|0.17|1.0240| +|=| 11| 15| 59| 520.4983278| 55|00:07:29|-0.06|0.15|0.8781| +|=| 4| 15| 59| 483.7486065| 65|00:07:30|-0.01|0.16|0.7612| +|=| 8| 15| 59| 589.2008266| 75|00:06:39|-0.03|0.11|0.8176| +|=| 7| 15| 53| 578.1601710| 85|00:07:29|-0.02|0.11|0.8684| +|=| 10| 15| 19| 647.2956831| 95|00:06:45|-0.01|0.10|0.8595| +|=| 5| 15| 19| 704.7211257| 105|00:06:40|+0.01|0.11|0.8632| +|=| 6| 15| 19| 686.1102673| 115|00:07:29|-0.00|0.09|0.8945| +|=| 2| 15| 19| 670.6124840| 125|00:07:30|-0.01|0.08|0.9050| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 670.6124840 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 93 0.58916 62 4 6 7 1 11 + +# 2023-08-29 22:27:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 93 0.58916 62 4 6 7 1 +59 9 78 0.70769 89 71 72 13 25 +46 9 81 0.50582 89 47 93 5 43 +53 9 60 0.35967 84 24 90 28 54 +57 6 89 0.48657 73 0 19 15 3 +# 2023-08-29 22:27:20 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 155401.6, CPU sys time: 13.693, Wall-clock time: 20586.94 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 93 0.58916 62 4 6 7 1 +59 9 78 0.70769 89 71 72 13 25 +46 9 81 0.50582 89 47 93 5 43 +53 9 60 0.35967 84 24 90 28 54 +57 6 89 0.48657 73 0 19 15 3 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +19 -K6 -k93 -M0.58916 -Q62 -G4 -D6 -O7 -L1 +59 -K9 -k78 -M0.70769 -Q89 -G71 -D72 -O13 -L25 +46 -K9 -k81 -M0.50582 -Q89 -G47 -D93 -O5 -L43 +53 -K9 -k60 -M0.35967 -Q84 -G24 -D90 -O28 -L54 +57 -K6 -k89 -M0.48657 -Q73 -G0 -D19 -O15 -L3 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-29 22:27:20 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-10-migrations/results-evol/results-evol-EscolhaDireta.txt b/src/irace/results/results-island-model/results-10-migrations/results-evol/results-evol-EscolhaDireta.txt new file mode 100644 index 000000000..e69de29bb diff --git a/src/irace/results/results-island-model/results-10-migrations/results-evol/results-evol-EscolhaProporcional.txt b/src/irace/results/results-island-model/results-10-migrations/results-evol/results-evol-EscolhaProporcional.txt new file mode 100644 index 000000000..b93102b15 --- /dev/null +++ b/src/irace/results/results-island-model/results-10-migrations/results-evol/results-evol-EscolhaProporcional.txt @@ -0,0 +1,60 @@ + +./evol -K10 -k37 -M0.94337 -Q70 -G81 -D74 -O35 -L9 -N 2 +./evol -K4 -k76 -M0.93642 -Q86 -G21 -D77 -O1 -L13 -N 3 +./evol -K8 -k78 -M0.85899 -Q84 -G16 -D57 -O26 -L13 -N 4 +./evol -K9 -k81 -M0.65705 -Q70 -G10 -D42 -O36 -L14 -N 5 +./evol -K8 -k18 -M0.28805 -Q68 -G5 -D24 -O21 -L33 -N 6 +./evol -K7 -k14 -M0.93074 -Q69 -G27 -D27 -O28 -L0 -N 7 +./evol -K6 -k52 -M0.77863 -Q98 -G38 -D33 -O72 -L1 -N 8 +./evol -K6 -k93 -M0.58916 -Q62 -G4 -D6 -O7 -L1 -N 9 +./evol -K8 -k70 -M0.8155 -Q85 -G45 -D30 -O13 -L35 -N 10 +./evol -K9 -k94 -M0.46953 -Q54 -G29 -D87 -O18 -L0 -N 11 +./evol -K9 -k55 -M0.30822 -Q84 -G47 -D92 -O35 -L13 -N 12 +./evol -K7 -k30 -M0.77679 -Q93 -G2 -D46 -O21 -L14 -N 13 +./evol -K10 -k108 -M0.45031 -Q91 -G39 -D19 -O31 -L59 -N 14 +./evol -K9 -k34 -M0.39489 -Q71 -G21 -D73 -O15 -L8 -N 15 +./evol -K10 -k109 -M0.64693 -Q88 -G59 -D61 -O54 -L21 -N 16 +./evol -K8 -k75 -M0.73471 -Q69 -G78 -D15 -O29 -L1 -N 17 +./evol -K8 -k112 -M0.66407 -Q82 -G23 -D76 -O25 -L12 -N 18 +./evol -K9 -k46 -M0.60876 -Q60 -G28 -D23 -O13 -L62 -N 19 +./evol -K10 -k109 -M0.19925 -Q75 -G29 -D31 -O35 -L27 -N 20 +./evol -K9 -k99 -M0.34869 -Q46 -G61 -D80 -O14 -L24 -N 21 +./evol -K10 -k92 -M0.85742 -Q89 -G24 -D73 -O61 -L39 -N 22 +./evol -K10 -k84 -M0.78147 -Q96 -G52 -D24 -O36 -L19 -N 23 +./evol -K10 -k101 -M0.87662 -Q75 -G13 -D18 -O18 -L34 -N 24 +./evol -K10 -k92 -M0.66405 -Q95 -G16 -D31 -O23 -L74 -N 25 +./evol -K9 -k117 -M0.96296 -Q50 -G52 -D94 -O53 -L36 -N 26 +./evol -K9 -k24 -M0.45809 -Q84 -G36 -D27 -O24 -L43 -N 27 +./evol -K10 -k24 -M0.6799 -Q45 -G0 -D30 -O4 -L98 -N 28 +./evol -K10 -k97 -M0.69601 -Q69 -G54 -D39 -O60 -L13 -N 29 +./evol -K10 -k97 -M0.52275 -Q100 -G13 -D31 -O60 -L78 -N 30 +./evol -K9 -k100 -M0.6688 -Q81 -G44 -D82 -O6 -L1 -N 31 +./evol -K8 -k89 -M0.46751 -Q86 -G40 -D25 -O62 -L0 -N 32 +./evol -K8 -k91 -M0.65307 -Q41 -G2 -D21 -O26 -L13 -N 33 +./evol -K8 -k110 -M0.33308 -Q67 -G14 -D25 -O55 -L2 -N 34 +./evol -K10 -k38 -M0.70158 -Q87 -G44 -D19 -O31 -L41 -N 35 +./evol -K9 -k98 -M0.46932 -Q55 -G33 -D52 -O9 -L49 -N 36 +./evol -K10 -k49 -M0.54752 -Q57 -G16 -D72 -O71 -L83 -N 37 +./evol -K8 -k53 -M0.72561 -Q80 -G22 -D9 -O12 -L29 -N 38 +./evol -K10 -k87 -M0.71752 -Q88 -G66 -D14 -O15 -L67 -N 39 +./evol -K9 -k93 -M0.89963 -Q44 -G85 -D21 -O6 -L26 -N 40 +./evol -K8 -k92 -M0.84988 -Q74 -G46 -D63 -O64 -L33 -N 41 +./evol -K9 -k98 -M0.99641 -Q60 -G99 -D52 -O46 -L32 -N 42 +./evol -K10 -k63 -M0.4858 -Q75 -G3 -D41 -O28 -L52 -N 43 +./evol -K10 -k33 -M0.88897 -Q76 -G5 -D41 -O20 -L4 -N 44 +./evol -K10 -k98 -M0.79903 -Q96 -G30 -D82 -O7 -L20 -N 45 +./evol -K8 -k55 -M0.7638 -Q97 -G12 -D75 -O33 -L0 -N 46 +./evol -K10 -k106 -M0.56019 -Q26 -G32 -D7 -O36 -L25 -N 47 +./evol -K9 -k19 -M0.76327 -Q93 -G48 -D10 -O76 -L48 -N 48 +./evol -K10 -k124 -M0.94776 -Q100 -G86 -D76 -O96 -L30 -N 49 +./evol -K9 -k75 -M0.88807 -Q97 -G91 -D14 -O28 -L40 -N 50 +./evol -N 51 +./evol -K9 -k45 -M0.91742 -Q89 -G63 -D87 -O88 -L77 -N 52 +./evol -N 53 +./evol -K10 -k37 -M0.50815 -Q82 -G55 -D59 -O27 -L46 -N 54 +./evol -N 55 +./evol -K9 -k29 -M0.72657 -Q73 -G25 -D57 -O20 -L38 -N 56 +./evol -K8 -k52 -M0.73127 -Q64 -G30 -D53 -O75 -L37 -N 57 +./evol -K7 -k77 -M0.60702 -Q61 -G20 -D47 -O27 -L13 -N 58 +./evol -K10 -k107 -M0.94231 -Q51 -G27 -D8 -O44 -L47 -N 59 +./evol -N 60 \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-10.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-10.txt new file mode 100644 index 000000000..dc1c52215 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-10.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 02:19:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1894057324 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 02:19:15 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 500.0289070| 16|00:09:09| NA| NA| NA| +|x| 2| 16| 13| 853.2312935| 32|00:09:09|+0.69|0.84|0.3216| +|x| 3| 16| 13| 668.8905560| 48|00:09:10|+0.37|0.58|0.4553| +|x| 4| 16| 13| 626.6964115| 64|00:09:09|+0.41|0.56|0.4124| +|-| 5| 3| 13| 741.4804838| 80|00:09:09|+0.20|0.36|0.4080| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 741.4804838 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 8 15 0.62664 85 73 87 12 21 NA + +# 2023-09-08 03:05:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 8 15 0.62664 85 73 87 12 21 +14 10 35 0.22611 13 83 10 54 18 +1 8 41 0.47506 29 72 2 41 34 +# 2023-09-08 03:05:05 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 22| 300.2290580| 17|00:10:01| NA| NA| NA| +|x| 4| 17| 22| 400.1345090| 31|00:08:19|+0.40|0.70|0.4999| +|x| 1| 17| 23| 433.5269883| 45|00:08:20|+0.44|0.63|0.4359| +|x| 5| 17| 13| 625.2638575| 59|00:08:19|+0.14|0.36|0.5984| +|=| 2| 17| 13| 741.4962944| 73|00:08:19|+0.13|0.30|0.6738| +|=| 3| 17| 13| 667.9484255| 87|00:08:20|+0.13|0.27|0.7283| +|=| 7| 17| 13| 747.0335770| 104|00:09:59|+0.04|0.17|0.8281| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 747.0335770 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 8 15 0.62664 85 73 87 12 21 NA + +# 2023-09-08 04:06:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 8 15 0.62664 85 73 87 12 21 +1 8 41 0.47506 29 72 2 41 34 +14 10 35 0.22611 13 83 10 54 18 +27 8 17 0.39177 54 57 34 18 13 +22 4 17 0.50143 97 23 92 16 32 +# 2023-09-08 04:06:46 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 34| 500.0396430| 17|00:13:19| NA| NA| NA| +|x| 6| 17| 34| 400.2276420| 29|00:08:20|+0.15|0.57|0.9053| +|x| 1| 17| 13| 433.4706917| 41|00:08:19|+0.21|0.48|0.7737| +|x| 4| 17| 34| 450.1587268| 53|00:08:20|+0.31|0.48|0.6805| +|-| 7| 11| 34| 604.3843354| 65|00:08:19|-0.09|0.13|1.0218| +|=| 3| 11| 34| 553.7115715| 71|00:08:20|-0.05|0.12|1.0138| +|=| 5| 11| 34| 646.5507236| 77|00:08:19|+0.00|0.14|0.9335| +|=| 2| 11| 34| 716.0142265| 83|00:08:19|+0.02|0.14|0.8930| +|=| 9| 11| 34| 669.8414426| 94|00:08:20|+0.05|0.16|0.8854| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 669.8414426 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 39 0.8399 45 15 11 19 28 1 + +# 2023-09-08 05:26:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 39 0.83990 45 15 11 19 28 +13 8 15 0.62664 85 73 87 12 21 +40 7 10 0.70828 88 82 95 25 81 +14 10 35 0.22611 13 83 10 54 18 +27 8 17 0.39177 54 57 34 18 13 +# 2023-09-08 05:26:46 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 278 +# remainingBudget: 222 +# currentBudget: 111 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 27| 1203.881519| 15|00:11:39| NA| NA| NA| +|x| 5| 15| 52| 1216.791977| 25|00:08:19|-0.15|0.42|1.1453| +|x| 1| 15| 43| 974.9075190| 35|00:08:20|-0.16|0.22|0.9835| +|x| 7| 15| 14| 1037.087953| 45|00:08:19|-0.08|0.19|1.0053| +|=| 3| 15| 44| 889.5935588| 55|00:08:20|-0.02|0.18|1.0005| +|=| 8| 15| 44| 824.6697457| 65|00:08:19|+0.02|0.18|0.9311| +|=| 9| 15| 44| 749.9376597| 75|00:08:20|-0.03|0.12|0.9690| +|=| 2| 15| 34| 806.2954591| 85|00:08:19|-0.01|0.12|0.9033| +|=| 4| 15| 34| 772.2718311| 95|00:08:20|-0.00|0.11|0.8771| +|=| 6| 15| 34| 725.0862121| 105|00:08:20|+0.00|0.10|0.8926| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 725.0862121 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 39 0.8399 45 15 11 19 28 1 + +# 2023-09-08 06:53:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 39 0.83990 45 15 11 19 28 +27 8 17 0.39177 54 57 34 18 13 +13 8 15 0.62664 85 73 87 12 21 +45 10 14 0.44005 73 84 100 9 31 +46 8 7 0.88626 79 80 52 15 27 +# 2023-09-08 06:53:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 383 +# remainingBudget: 117 +# currentBudget: 117 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 62| 500.0428090| 15|00:13:19| NA| NA| NA| +|x| 2| 15| 27| 852.9966405| 25|00:08:19|-0.26|0.37|1.2777| +|x| 1| 15| 13| 735.5268557| 35|00:08:20|+0.09|0.40|0.8919| +|x| 3| 15| 13| 626.6974120| 45|00:08:20|+0.11|0.34|0.8648| +|=| 6| 15| 13| 561.4155564| 55|00:08:19|+0.08|0.27|0.9422| +|=| 7| 15| 13| 671.4370447| 65|00:08:20|-0.00|0.16|0.9659| +|=| 4| 15| 45| 647.9119249| 75|00:08:20|+0.02|0.16|0.9724| +|=| 9| 15| 45| 604.5083409| 85|00:08:19|+0.00|0.13|0.9390| +|=| 8| 15| 45| 592.9077486| 95|00:08:20|+0.05|0.15|0.8839| +|=| 5| 15| 34| 652.8753902| 105|00:08:19|+0.05|0.14|0.8547| +|=| 10| 15| 45| 707.1547790| 115|00:08:20|+0.02|0.11|0.8595| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 707.1547790 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 10 14 0.44005 73 84 100 9 31 13 + +# 2023-09-08 08:30:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 14 0.44005 73 84 100 9 31 +34 9 39 0.83990 45 15 11 19 28 +61 10 33 0.54009 79 71 80 35 0 +13 8 15 0.62664 85 73 87 12 21 +27 8 17 0.39177 54 57 34 18 13 +# 2023-09-08 08:30:06 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 176250.8, CPU sys time: 13.864, Wall-clock time: 22250.76 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 14 0.44005 73 84 100 9 31 +34 9 39 0.83990 45 15 11 19 28 +61 10 33 0.54009 79 71 80 35 0 +13 8 15 0.62664 85 73 87 12 21 +27 8 17 0.39177 54 57 34 18 13 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +45 -K10 -k14 -M0.44005 -Q73 -G84 -D100 -O9 -L31 +34 -K9 -k39 -M0.8399 -Q45 -G15 -D11 -O19 -L28 +61 -K10 -k33 -M0.54009 -Q79 -G71 -D80 -O35 -L0 +13 -K8 -k15 -M0.62664 -Q85 -G73 -D87 -O12 -L21 +27 -K8 -k17 -M0.39177 -Q54 -G57 -D34 -O18 -L13 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 08:30:06 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-11.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-11.txt new file mode 100644 index 000000000..e2e266ec5 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-11.txt @@ -0,0 +1,300 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 08:30:06 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2108913588 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 08:30:06 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 1206.834630| 16|00:09:09| NA| NA| NA| +|x| 2| 16| 13| 760.5015235| 32|00:09:10|+0.50|0.75|0.5281| +|x| 3| 16| 13| 673.6756050| 48|00:09:09|+0.68|0.79|0.3644| +|x| 4| 16| 13| 806.1370007| 64|00:09:10|+0.62|0.72|0.4422| +|-| 5| 6| 13| 705.0888308| 80|00:09:10|+0.19|0.35|0.8595| +|=| 6| 6| 13| 670.9236930| 86|00:08:14|-0.05|0.12|0.9386| +|=| 7| 6| 13| 747.4027341| 92|00:08:14|+0.04|0.18|0.8716| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 747.4027341 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 9 28 0.65664 65 89 44 80 40 NA + +# 2023-09-08 09:32:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 9 28 0.65664 65 89 44 80 40 +10 7 7 0.84217 37 74 16 65 27 +16 4 38 0.52027 47 89 45 95 59 +3 9 2 0.54275 21 63 30 38 62 +5 7 45 0.78656 79 89 98 2 75 +# 2023-09-08 09:32:26 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0208670| 17|00:14:40| NA| NA| NA| +|x| 6| 17| 28| 500.0380940| 29|00:08:14|+0.46|0.73|0.2691| +|x| 4| 17| 19| 734.2375387| 41|00:08:14|+0.19|0.46|0.6063| +|x| 3| 17| 28| 680.1992552| 53|00:08:14|+0.12|0.34|0.7338| +|=| 5| 17| 28| 604.1753498| 65|00:08:15|+0.15|0.32|0.7772| +|-| 2| 11| 28| 553.5212238| 77|00:08:15|-0.02|0.15|0.8768| +|=| 7| 11| 28| 648.8143456| 83|00:08:14|-0.03|0.12|0.9036| +|=| 1| 11| 19| 715.1138359| 89|00:08:14|-0.02|0.11|0.9005| +|=| 9| 11| 28| 673.8147619| 100|00:08:15|-0.00|0.11|0.8917| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 673.8147619 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 9 25 0.50803 53 95 79 99 9 13 + +# 2023-09-08 10:53:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 9 25 0.50803 53 95 79 99 9 +13 9 28 0.65664 65 89 44 80 40 +19 7 40 0.89077 75 93 34 57 20 +16 4 38 0.52027 47 89 45 95 59 +10 7 7 0.84217 37 74 16 65 27 +# 2023-09-08 10:53:06 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 1202.398120| 14|00:10:59| NA| NA| NA| +|x| 2| 14| 19| 760.5064750| 23|00:09:10|+0.03|0.51|1.1286| +|x| 9| 14| 30| 607.3874067| 32|00:09:10|+0.20|0.47|0.8009| +|x| 7| 14| 28| 760.7357197| 41|00:09:09|-0.04|0.22|1.0161| +|=| 4| 14| 19| 846.7020214| 50|00:09:10|-0.04|0.17|0.9709| +|=| 6| 14| 28| 793.9416593| 59|00:09:09|+0.03|0.19|0.9130| +|=| 1| 14| 19| 848.8239443| 68|00:09:09|+0.03|0.17|0.8982| +|=| 5| 14| 28| 785.7621010| 77|00:09:10|+0.06|0.18|0.8726| +|=| 3| 14| 28| 754.0184317| 86|00:09:09|+0.05|0.15|0.8688| +|-| 8| 11| 28| 728.6186752| 95|00:09:09|-0.05|0.06|0.9761| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 728.6186752 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 9 25 0.50803 53 95 79 99 9 13 + +# 2023-09-08 12:26:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 9 25 0.50803 53 95 79 99 9 +19 7 40 0.89077 75 93 34 57 20 +13 9 28 0.65664 65 89 44 80 40 +33 9 35 0.73170 76 56 38 75 50 +30 9 30 0.84295 57 69 61 86 15 +# 2023-09-08 12:26:36 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 44| 500.0379210| 14|00:14:40| NA| NA| NA| +|x| 9| 14| 46| 400.0790980| 23|00:09:10|+0.33|0.67|0.8444| +|x| 5| 14| 33| 366.7592893| 32|00:09:10|+0.35|0.56|0.7238| +|x| 2| 14| 33| 350.3358290| 41|00:09:09|+0.02|0.27|0.9081| +|=| 7| 14| 33| 521.6308604| 50|00:09:10|+0.01|0.21|0.9363| +|=| 4| 14| 45| 638.1106488| 59|00:09:09|-0.01|0.16|0.8969| +|=| 10| 14| 45| 718.9600440| 68|00:09:10|-0.02|0.13|0.9244| +|=| 1| 14| 45| 781.6552660| 77|00:09:09|+0.01|0.13|0.9058| +|=| 6| 14| 45| 750.3638884| 86|00:09:10|+0.05|0.16|0.8652| +|=| 3| 14| 45| 725.3379192| 95|00:09:10|+0.05|0.14|0.8770| +|=| 8| 14| 45| 704.8573798| 104|00:09:10|+0.05|0.13|0.8891| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 704.8573798 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 10 33 0.92024 76 86 12 37 24 19 + +# 2023-09-08 14:12:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 33 0.92024 76 86 12 37 24 +38 8 22 0.38461 61 82 25 80 15 +28 9 25 0.50803 53 95 79 99 9 +33 9 35 0.73170 76 56 38 75 50 +39 9 25 0.39380 42 90 69 64 9 +# 2023-09-08 14:12:56 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 39| 300.1537040| 13|00:13:45| NA| NA| NA| +|x| 3| 13| 49| 400.0970625| 21|00:09:09|+0.43|0.72|0.7316| +|x| 10| 13| 49| 673.5964057| 29|00:09:09|-0.04|0.31|1.0082| +|x| 11| 13| 49| 630.2058688| 37|00:09:10|+0.00|0.25|0.9849| +|=| 1| 13| 49| 744.7384308| 45|00:09:10|+0.03|0.23|0.9451| +|=| 7| 13| 49| 824.0251557| 53|00:09:09|+0.07|0.22|0.9279| +|=| 8| 13| 49| 777.7381067| 61|00:09:10|+0.12|0.25|0.8975| +|-| 6| 6| 49| 743.0260871| 69|00:09:09|+0.07|0.19|0.8082| +|=| 9| 6| 49| 693.8197750| 70|00:09:09|+0.03|0.14|0.8166| +|=| 5| 6| 49| 654.4415170| 71|00:09:09|+0.07|0.16|0.7960| +|=| 4| 6| 49| 706.0905791| 72|00:09:10|+0.00|0.10|0.8366| +|=| 2| 6| 49| 672.2537705| 73|00:09:10|+0.02|0.11|0.8306| +|=| 13| 6| 49| 659.0035688| 79|00:09:09|+0.05|0.13|0.7976| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 659.0035688 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 43 0.94423 79 73 6 18 19 45 + +# 2023-09-08 16:16:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 43 0.94423 79 73 6 18 19 +45 10 33 0.92024 76 86 12 37 24 +38 8 22 0.38461 61 82 25 80 15 +33 9 35 0.73170 76 56 38 75 50 +39 9 25 0.39380 42 90 69 64 9 +# 2023-09-08 16:16:41 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 470 +# remainingBudget: 30 +# currentBudget: 30 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 45| 300.1363190| 6|00:09:10| NA| NA| NA| +|x| 7| 6| 49| 760.3057175| 7|00:09:09|-0.49|0.26|1.2027| +|x| 4| 6| 45| 909.2316953| 8|00:09:09|-0.31|0.12|1.1462| +|x| 8| 6| 45| 806.9367680| 9|00:09:10|-0.27|0.05|1.0197| +|=| 6| 6| 45| 745.5559880| 10|00:09:10|-0.17|0.07|0.9635| +|=| 3| 6| 45| 704.6473560| 11|00:09:09|-0.10|0.08|0.8728| +|=| 13| 6| 49| 677.6127404| 12|00:09:09|-0.03|0.12|0.7982| +|=| 10| 6| 45| 741.4955398| 13|00:09:09|+0.00|0.13|0.7783| +|=| 12| 6| 45| 692.4899336| 14|00:09:10|-0.03|0.09|0.8091| +|=| 2| 6| 49| 656.4089640| 15|00:09:10|+0.02|0.12|0.7805| +|=| 9| 6| 55| 624.0812798| 16|00:09:09|+0.00|0.09|0.7902| +|=| 11| 6| 49| 613.6910980| 17|00:09:09|+0.04|0.12|0.7613| +|=| 1| 6| 49| 659.0124504| 18|00:09:10|+0.04|0.11|0.7499| +|=| 5| 6| 49| 633.3713607| 19|00:09:10|+0.06|0.12|0.7456| +|=| 15| 6| 49| 672.6240423| 25|00:09:09|+0.05|0.11|0.7503| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 672.6240423 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 43 0.94423 79 73 6 18 19 45 + +# 2023-09-08 18:34:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 43 0.94423 79 73 6 18 19 +45 10 33 0.92024 76 86 12 37 24 +55 10 14 0.97123 86 62 18 34 29 +39 9 25 0.39380 42 90 69 64 9 +38 8 22 0.38461 61 82 25 80 15 +# 2023-09-08 18:34:11 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 196599.2, CPU sys time: 12.337, Wall-clock time: 36244.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 43 0.94423 79 73 6 18 19 +45 10 33 0.92024 76 86 12 37 24 +55 10 14 0.97123 86 62 18 34 29 +39 9 25 0.39380 42 90 69 64 9 +38 8 22 0.38461 61 82 25 80 15 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k43 -M0.94423 -Q79 -G73 -D6 -O18 -L19 +45 -K10 -k33 -M0.92024 -Q76 -G86 -D12 -O37 -L24 +55 -K10 -k14 -M0.97123 -Q86 -G62 -D18 -O34 -L29 +39 -K9 -k25 -M0.3938 -Q42 -G90 -D69 -O64 -L9 +38 -K8 -k22 -M0.38461 -Q61 -G82 -D25 -O80 -L15 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 18:34:11 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-12.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-12.txt new file mode 100644 index 000000000..9dd1d2e2c --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-12.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 18:34:11 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 55334274 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 18:34:11 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1208.167636| 16|00:08:59| NA| NA| NA| +|x| 2| 16| 2| 755.7518340| 32|00:09:00|+0.45|0.72|0.8746| +|x| 3| 16| 2| 670.5149107| 48|00:08:59|+0.60|0.73|0.5446| +|x| 4| 16| 2| 578.2882665| 64|00:09:00|+0.54|0.66|0.5042| +|-| 5| 4| 2| 703.5994242| 80|00:08:59|+0.24|0.39|0.6208| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 703.5994242 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 8 21 0.11348 85 3 7 0 88 NA + +# 2023-09-08 19:19:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 8 21 0.11348 85 3 7 0 88 +12 7 32 0.56847 32 4 3 19 1 +15 8 22 0.37827 62 7 44 100 78 +16 3 31 0.19066 42 24 20 1 37 +# 2023-09-08 19:19:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 24| 500.0082360| 17|00:14:00| NA| NA| NA| +|x| 4| 17| 24| 400.1361740| 30|00:10:00|+0.51|0.76|0.4812| +|x| 3| 17| 22| 433.4487743| 43|00:09:59|+0.12|0.42|0.8358| +|x| 1| 17| 22| 630.3263800| 56|00:09:59|+0.20|0.40|0.8345| +|=| 5| 17| 22| 748.3674664| 69|00:10:00|+0.12|0.30|0.8959| +|-| 2| 11| 2| 669.6784238| 82|00:10:00|+0.03|0.19|0.8903| +|=| 7| 11| 2| 616.8884227| 93|00:09:59|+0.05|0.18|0.8932| +|=| 8| 11| 2| 602.2782885| 104|00:10:00|+0.09|0.20|0.8364| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 602.2782885 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 8 21 0.11348 85 3 7 0 88 NA + +# 2023-09-08 20:43:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 8 21 0.11348 85 3 7 0 88 +22 10 35 0.67054 71 24 48 4 40 +12 7 32 0.56847 32 4 3 19 1 +24 7 23 0.41525 48 14 28 6 5 +27 9 46 0.61028 62 68 33 97 39 +# 2023-09-08 20:43:11 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 32| 1204.605094| 16|00:16:59| NA| NA| NA| +|x| 5| 16| 2| 1212.457158| 27|00:10:00|+0.27|0.63|0.9603| +|x| 6| 16| 27| 980.3771487| 38|00:10:00|+0.17|0.45|0.9679| +|x| 2| 16| 2| 806.2669813| 49|00:10:00|+0.12|0.34|0.9184| +|=| 1| 16| 2| 887.2982812| 60|00:09:59|+0.12|0.29|0.8507| +|-| 3| 12| 2| 822.7554117| 71|00:09:59|+0.01|0.18|0.8879| +|=| 7| 12| 2| 748.0972694| 78|00:10:00|+0.01|0.15|0.8791| +|=| 8| 12| 2| 717.0860294| 85|00:09:59|+0.04|0.16|0.8311| +|=| 4| 12| 2| 670.9218410| 92|00:09:59|+0.00|0.11|0.9079| +|=| 10| 12| 2| 653.8420106| 104|00:09:59|+0.03|0.13|0.8795| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 653.8420106 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 8 21 0.11348 85 3 7 0 88 NA + +# 2023-09-08 22:30:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 8 21 0.11348 85 3 7 0 88 +36 8 41 0.31557 37 1 14 16 23 +34 9 22 0.30448 64 25 36 1 36 +33 10 43 0.66820 60 4 43 11 68 +22 10 35 0.67054 71 24 48 4 40 +# 2023-09-08 22:30:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 48| 1220.422719| 14|00:14:00| NA| NA| NA| +|x| 1| 14| 2| 1215.928766| 23|00:10:00|+0.02|0.51|0.7857| +|x| 7| 14| 2| 910.6686493| 32|00:10:00|+0.10|0.40|0.6900| +|x| 3| 14| 2| 808.0117530| 41|00:09:59|+0.17|0.38|0.5891| +|=| 9| 14| 2| 890.4234546| 50|00:09:59|+0.16|0.32|0.6941| +|=| 4| 14| 2| 792.2876012| 59|00:10:00|+0.09|0.24|0.8246| +|-| 2| 8| 2| 721.9722563| 68|00:10:00|-0.01|0.13|0.8311| +|=| 6| 8| 2| 694.2349020| 71|00:09:59|-0.06|0.08|0.8940| +|=| 10| 8| 2| 672.6669726| 74|00:10:00|-0.06|0.06|0.8940| +|=| 5| 8| 2| 725.8846808| 77|00:09:59|-0.04|0.07|0.8649| +|=| 8| 8| 2| 705.3503779| 80|00:10:00|-0.01|0.08|0.8389| +|=| 12| 8| 2| 671.5923754| 88|00:10:00|-0.02|0.07|0.8348| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 671.5923754 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 8 21 0.11348 85 3 7 0 88 NA + +# 2023-09-09 00:34:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 8 21 0.11348 85 3 7 0 88 +33 10 43 0.66820 60 4 43 11 68 +36 8 41 0.31557 37 1 14 16 23 +22 10 35 0.67054 71 24 48 4 40 +48 10 46 0.14198 58 10 24 18 54 +# 2023-09-09 00:34:11 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 58| 500.0000010| 14|00:16:59| NA| NA| NA| +|x| 6| 14| 58| 500.0087355| 23|00:10:00|+0.46|0.73|0.4860| +|x| 11| 14| 55| 733.5524823| 32|00:09:59|+0.33|0.55|0.7615| +|x| 4| 14| 55| 625.2013038| 41|00:10:00|+0.24|0.43|0.7485| +|-| 3| 11| 33| 604.2353568| 50|00:09:59|-0.07|0.14|0.9506| +|=| 1| 11| 55| 703.5980260| 56|00:10:00|-0.03|0.14|0.9803| +|=| 10| 11| 55| 674.5204723| 62|00:09:59|+0.06|0.19|0.8948| +|=| 5| 11| 55| 742.8078574| 68|00:10:00|+0.05|0.17|0.8949| +|=| 9| 11| 55| 795.9815899| 74|00:09:59|-0.02|0.10|0.9477| +|=| 8| 11| 55| 766.3910543| 80|00:10:00|-0.01|0.09|0.9263| +|=| 2| 11| 55| 724.0562985| 86|00:10:00|-0.03|0.06|0.9367| +|=| 7| 11| 2| 688.2454731| 92|00:09:59|-0.03|0.06|0.9260| +|=| 12| 11| 55| 658.8541639| 98|00:10:00|-0.05|0.03|0.9528| +|=| 14| 11| 55| 633.2524121| 109|00:10:00|-0.04|0.03|0.9486| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 633.2524121 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 10 28 0.69794 59 28 42 13 58 33 + +# 2023-09-09 03:01:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 28 0.69794 59 28 42 13 58 +58 10 33 0.55727 92 31 42 17 31 +33 10 43 0.66820 60 4 43 11 68 +2 8 21 0.11348 85 3 7 0 88 +36 8 41 0.31557 37 1 14 16 23 +# 2023-09-09 03:01:11 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 485 +# timeUsed: 0 +# remainingBudget: 15 +# currentBudget: 15 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 216411, CPU sys time: 13.161, Wall-clock time: 30420.18 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 28 0.69794 59 28 42 13 58 +58 10 33 0.55727 92 31 42 17 31 +33 10 43 0.66820 60 4 43 11 68 +2 8 21 0.11348 85 3 7 0 88 +36 8 41 0.31557 37 1 14 16 23 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +55 -K10 -k28 -M0.69794 -Q59 -G28 -D42 -O13 -L58 +58 -K10 -k33 -M0.55727 -Q92 -G31 -D42 -O17 -L31 +33 -K10 -k43 -M0.6682 -Q60 -G4 -D43 -O11 -L68 +2 -K8 -k21 -M0.11348 -Q85 -G3 -D7 -O0 -L88 +36 -K8 -k41 -M0.31557 -Q37 -G1 -D14 -O16 -L23 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 03:01:11 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-13.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-13.txt new file mode 100644 index 000000000..3473769d3 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-13.txt @@ -0,0 +1,260 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 03:01:11 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 303045114 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 03:01:11 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 12| 300.3448610| 16|00:10:50| NA| NA| NA| +|x| 2| 16| 12| 760.2632555| 32|00:10:49|+0.61|0.80|0.5520| +|x| 3| 16| 12| 673.5590587| 48|00:10:49|+0.54|0.69|0.5085| +|x| 4| 16| 9| 630.4984970| 64|00:10:49|+0.31|0.48|0.6334| +|-| 5| 8| 9| 564.5647022| 80|00:10:49|-0.04|0.17|0.8553| +|=| 6| 8| 14| 673.9323350| 88|00:10:50|-0.07|0.11|0.9253| +|=| 7| 8| 9| 620.5140087| 96|00:10:50|-0.03|0.12|0.8815| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 620.5140087 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 34 0.39694 84 86 84 23 18 NA + +# 2023-09-09 04:17:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 34 0.39694 84 86 84 23 18 +14 4 35 0.40733 98 22 17 81 59 +8 10 19 0.11105 96 8 7 74 87 +12 8 41 0.31746 52 49 10 28 42 +3 10 3 0.48449 23 32 5 7 64 +# 2023-09-09 04:17:02 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 1201.336390| 17|00:18:24| NA| NA| NA| +|x| 5| 17| 28| 750.7198520| 29|00:10:51|+0.22|0.61|0.6531| +|x| 7| 17| 28| 600.5199820| 41|00:10:50|+0.32|0.55|0.6172| +|x| 4| 17| 28| 575.3974060| 53|00:10:50|+0.44|0.58|0.5183| +|-| 1| 8| 28| 520.3948842| 65|00:10:51|+0.12|0.30|0.6936| +|=| 6| 8| 28| 634.6043725| 68|00:09:44|+0.10|0.25|0.7025| +|=| 2| 8| 19| 721.2216400| 71|00:09:45|+0.05|0.19|0.7298| +|=| 3| 8| 19| 693.5729845| 74|00:09:44|+0.06|0.18|0.7560| +|=| 9| 8| 19| 672.0779832| 82|00:10:50|+0.09|0.19|0.7341| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 672.0779832 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 8 12 0.20302 70 69 91 26 66 9 + +# 2023-09-09 05:58:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 8 12 0.20302 70 69 91 26 66 +28 9 30 0.85236 93 90 79 23 59 +9 9 34 0.39694 84 86 84 23 18 +3 10 3 0.48449 23 32 5 7 64 +25 6 43 0.67443 26 88 2 13 58 +# 2023-09-09 05:58:54 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 178 +# remainingBudget: 322 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 38| 300.0600830| 15|00:17:19| NA| NA| NA| +|x| 4| 15| 9| 400.1663995| 25|00:10:50|+0.53|0.76|0.5535| +|x| 5| 15| 29| 366.7712973| 35|00:10:50|+0.35|0.57|0.6348| +|x| 7| 15| 28| 350.1912525| 45|00:10:49|+0.34|0.50|0.5707| +|-| 3| 11| 29| 380.1105614| 55|00:10:49|+0.26|0.41|0.5278| +|-| 2| 10| 29| 520.1260575| 61|00:10:49|+0.17|0.31|0.5974| +|=| 6| 10| 29| 618.1515833| 66|00:10:50|+0.12|0.25|0.6916| +|=| 8| 10| 29| 692.8155160| 71|00:10:49|+0.09|0.20|0.7584| +|=| 1| 10| 29| 649.3059963| 76|00:10:50|+0.03|0.14|0.8050| +|=| 9| 10| 29| 634.3787761| 81|00:10:49|+0.05|0.15|0.7988| +|=| 11| 10| 29| 685.9685725| 91|00:10:50|+0.08|0.16|0.7922| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 685.9685725 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 10 13 0.57998 59 92 83 15 53 19 + +# 2023-09-09 08:04:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 13 0.57998 59 92 83 15 53 +28 9 30 0.85236 93 90 79 23 59 +37 9 14 0.94164 99 78 60 7 51 +31 10 44 0.62092 51 64 1 54 54 +9 9 34 0.39694 84 86 84 23 18 +# 2023-09-09 08:04:34 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 269 +# remainingBudget: 231 +# currentBudget: 115 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 31| 500.0054980| 14|00:17:19| NA| NA| NA| +|x| 5| 14| 31| 400.1291420| 23|00:10:50|+0.53|0.76|0.4763| +|x| 6| 14| 28| 668.6161490| 32|00:10:49|+0.49|0.66|0.5227| +|x| 7| 14| 28| 576.4921723| 41|00:10:50|+0.30|0.47|0.6139| +|=| 2| 14| 31| 705.4199510| 50|00:10:49|+0.07|0.25|0.8004| +|=| 1| 14| 46| 638.8410852| 59|00:10:50|+0.03|0.19|0.8174| +|=| 10| 14| 37| 591.6523357| 68|00:10:50|+0.02|0.16|0.8652| +|=| 9| 14| 37| 580.2093365| 77|00:10:49|+0.06|0.18|0.8418| +|-| 11| 9| 29| 647.8061259| 86|00:10:49|-0.01|0.10|0.9022| +|=| 4| 9| 29| 633.0281800| 90|00:10:50|-0.01|0.09|0.9098| +|=| 8| 9| 29| 685.9768041| 94|00:10:49|+0.02|0.11|0.8786| +|=| 3| 9| 29| 670.4806332| 98|00:10:50|-0.01|0.08|0.8971| +|=| 13| 9| 29| 642.0270287| 107|00:10:50|-0.01|0.06|0.9055| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 642.0270287 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 10 13 0.57998 59 92 83 15 53 19 + +# 2023-09-09 10:31:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 13 0.57998 59 92 83 15 53 +28 9 30 0.85236 93 90 79 23 59 +31 10 44 0.62092 51 64 1 54 54 +37 9 14 0.94164 99 78 60 7 51 +43 10 11 0.25565 66 68 61 2 60 +# 2023-09-09 10:31:54 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 28| 1201.260943| 13|00:20:34| NA| NA| NA| +|x| 2| 13| 54| 1206.105789| 21|00:10:49|-0.25|0.37|1.1128| +|x| 12| 13| 54| 970.7578503| 29|00:10:49|-0.16|0.23|1.0017| +|x| 1| 13| 54| 803.0857223| 37|00:10:50|-0.06|0.20|0.9028| +|=| 11| 13| 54| 883.2800410| 45|00:10:49|+0.01|0.21|0.9179| +|=| 3| 13| 54| 819.4116462| 53|00:10:50|+0.08|0.24|0.8877| +|=| 13| 13| 54| 745.2945513| 61|00:10:50|+0.06|0.19|0.9139| +|=| 4| 13| 43| 718.2061126| 69|00:10:49|+0.04|0.16|0.8954| +|=| 5| 13| 43| 671.8629560| 77|00:10:50|+0.03|0.14|0.8982| +|=| 7| 13| 43| 634.6831139| 85|00:10:49|+0.07|0.16|0.8836| +|=| 9| 13| 52| 623.5298127| 93|00:10:49|+0.07|0.16|0.8754| +|=| 6| 13| 29| 671.0704784| 101|00:10:49|+0.07|0.14|0.8747| +|-| 8| 11| 28| 711.7219365| 109|00:10:50|-0.02|0.06|0.9419| +|=| 10| 11| 29| 683.4632264| 115|00:10:49|-0.01|0.06|0.9294| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 683.4632264 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 10 13 0.57998 59 92 83 15 53 19 + +# 2023-09-09 13:13:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 13 0.57998 59 92 83 15 53 +52 10 24 0.69049 80 96 83 19 80 +28 9 30 0.85236 93 90 79 23 59 +37 9 14 0.94164 99 78 60 7 51 +43 10 11 0.25565 66 68 61 2 60 +# 2023-09-09 13:13:19 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 255107.1, CPU sys time: 13.372, Wall-clock time: 36727.39 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 13 0.57998 59 92 83 15 53 +52 10 24 0.69049 80 96 83 19 80 +28 9 30 0.85236 93 90 79 23 59 +37 9 14 0.94164 99 78 60 7 51 +43 10 11 0.25565 66 68 61 2 60 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +29 -K10 -k13 -M0.57998 -Q59 -G92 -D83 -O15 -L53 +52 -K10 -k24 -M0.69049 -Q80 -G96 -D83 -O19 -L80 +28 -K9 -k30 -M0.85236 -Q93 -G90 -D79 -O23 -L59 +37 -K9 -k14 -M0.94164 -Q99 -G78 -D60 -O7 -L51 +43 -K10 -k11 -M0.25565 -Q66 -G68 -D61 -O2 -L60 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 13:13:19 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-14.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-14.txt new file mode 100644 index 000000000..f69168e2d --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-14.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 13:13:19 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1464667839 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 13:13:19 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 500.0255100| 16|00:12:49| NA| NA| NA| +|x| 2| 16| 13| 400.1091400| 32|00:12:50|+0.51|0.75|0.4353| +|x| 3| 16| 7| 667.2470003| 48|00:12:49|+0.52|0.68|0.5082| +|x| 4| 16| 7| 625.4456548| 64|00:12:50|+0.62|0.71|0.4037| +|-| 5| 7| 7| 560.4126400| 80|00:12:51|-0.16|0.07|0.9216| +|=| 6| 7| 7| 670.4382302| 87|00:09:19|-0.06|0.12|0.8594| +|=| 7| 7| 7| 749.1559387| 94|00:09:20|+0.02|0.16|0.7840| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 749.1559387 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 8 18 0.61354 82 37 92 76 3 NA + +# 2023-09-09 14:36:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 8 18 0.61354 82 37 92 76 3 +10 7 46 0.74174 76 64 56 97 86 +1 6 45 0.61309 77 26 98 18 72 +13 8 29 0.75168 50 13 77 26 49 +6 8 17 0.23790 70 90 5 84 89 +# 2023-09-09 14:36:11 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 27| 500.0580900| 17|00:18:39| NA| NA| NA| +|x| 1| 17| 25| 500.0698535| 29|00:11:40|+0.07|0.54|0.8440| +|x| 7| 17| 25| 734.2879060| 41|00:11:39|+0.18|0.45|0.9140| +|x| 5| 17| 25| 625.7294477| 53|00:11:40|+0.20|0.40|0.8302| +|-| 2| 11| 25| 560.6794288| 65|00:11:40|-0.11|0.11|1.0243| +|=| 3| 11| 25| 669.2520977| 71|00:11:39|-0.06|0.11|0.9781| +|=| 4| 11| 25| 645.0760703| 77|00:11:40|+0.01|0.15|0.9360| +|=| 6| 11| 25| 715.0719488| 83|00:11:39|+0.03|0.15|0.9039| +|=| 9| 11| 25| 668.9650036| 94|00:11:40|+0.06|0.17|0.8831| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 668.9650036 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 8 36 0.32775 95 37 48 67 38 13 + +# 2023-09-09 16:28:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 8 36 0.32775 95 37 48 67 38 +27 10 40 0.94067 84 79 61 81 19 +7 8 18 0.61354 82 37 92 76 3 +10 7 46 0.74174 76 64 56 97 86 +20 5 29 0.27628 74 57 67 6 54 +# 2023-09-09 16:28:11 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 500.0255530| 14|00:16:19| NA| NA| NA| +|x| 1| 14| 36| 500.0225425| 23|00:11:39|+0.33|0.66|0.7866| +|x| 2| 14| 36| 433.4094397| 32|00:11:40|+0.07|0.38|0.9148| +|x| 5| 14| 36| 400.1088813| 41|00:11:39|+0.14|0.36|0.7783| +|=| 6| 14| 36| 564.1775182| 50|00:11:39|+0.13|0.30|0.7814| +|-| 8| 10| 36| 553.4978205| 59|00:11:40|+0.02|0.18|0.8154| +|=| 4| 10| 27| 543.4089301| 64|00:11:40|+0.05|0.19|0.8203| +|=| 7| 10| 27| 625.9212802| 69|00:11:39|+0.02|0.14|0.8371| +|=| 9| 10| 27| 589.7195512| 74|00:11:40|+0.05|0.15|0.8268| +|=| 3| 10| 27| 651.9591610| 79|00:11:39|+0.04|0.13|0.8503| +|=| 11| 10| 27| 703.8447588| 89|00:11:40|+0.04|0.13|0.8583| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 703.8447588 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 10 40 0.94067 84 79 61 81 19 10 + +# 2023-09-09 18:41:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 10 40 0.94067 84 79 61 81 19 +25 8 36 0.32775 95 37 48 67 38 +7 8 18 0.61354 82 37 92 76 3 +32 10 29 0.65419 97 43 64 32 42 +36 8 32 0.48804 86 25 21 57 34 +# 2023-09-09 18:41:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 32| 300.1129290| 13|00:16:20| NA| NA| NA| +|x| 8| 13| 32| 400.0932125| 21|00:11:39|+0.25|0.62|0.8586| +|x| 3| 13| 32| 667.5637227| 29|00:11:40|+0.02|0.35|1.0095| +|x| 9| 13| 32| 575.8259700| 37|00:11:39|-0.16|0.13|1.0944| +|=| 10| 13| 32| 560.6995306| 45|00:11:39|-0.13|0.09|1.0696| +|=| 11| 13| 45| 673.8140492| 53|00:11:40|-0.14|0.05|1.0476| +|=| 4| 13| 45| 648.9899271| 61|00:11:39|-0.08|0.07|0.9860| +|=| 1| 13| 45| 630.3711529| 69|00:11:39|-0.03|0.10|0.9494| +|=| 7| 13| 45| 695.9835558| 77|00:11:40|-0.02|0.10|0.9213| +|=| 5| 13| 25| 651.7912215| 85|00:11:40|+0.02|0.12|0.8865| +|=| 2| 13| 36| 620.9891910| 93|00:11:39|-0.00|0.09|0.9098| +|=| 6| 13| 25| 668.6195555| 101|00:11:40|+0.02|0.10|0.8929| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 668.6195555 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 8 36 0.32775 95 37 48 67 38 13 + +# 2023-09-09 21:05:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 8 36 0.32775 95 37 48 67 38 +45 8 31 0.98268 83 42 53 96 16 +27 10 40 0.94067 84 79 61 81 19 +36 8 32 0.48804 86 25 21 57 34 +42 10 39 0.81808 58 80 73 63 16 +# 2023-09-09 21:05:51 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 378 +# remainingBudget: 122 +# currentBudget: 122 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 52| 1210.987114| 14|00:19:49| NA| NA| NA| +|x| 2| 14| 49| 760.4319375| 23|00:11:40|+0.32|0.66|0.7581| +|x| 7| 14| 48| 913.8265380| 32|00:11:39|+0.02|0.35|0.8945| +|x| 9| 14| 27| 756.2098715| 41|00:11:40|-0.10|0.18|0.9229| +|=| 10| 14| 48| 708.4224402| 50|00:11:39|-0.17|0.07|0.9925| +|=| 6| 14| 27| 788.0042610| 59|00:11:39|-0.12|0.07|0.9360| +|=| 1| 14| 42| 751.0352229| 68|00:11:40|-0.08|0.07|0.9405| +|=| 12| 14| 48| 695.5733641| 77|00:11:40|-0.08|0.06|0.9277| +|=| 4| 14| 48| 673.8476398| 86|00:11:39|-0.04|0.07|0.9036| +|=| 8| 14| 27| 652.8479896| 95|00:11:39|-0.04|0.07|0.8907| +|=| 11| 14| 25| 702.9384702| 104|00:11:39|-0.03|0.07|0.8798| +|=| 3| 14| 25| 745.3698845| 113|00:11:40|+0.00|0.08|0.8582| +|=| 5| 14| 25| 711.1148221| 122|00:11:40|+0.01|0.08|0.8390| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 711.1148221 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 8 36 0.32775 95 37 48 67 38 13 + +# 2023-09-09 23:45:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 8 36 0.32775 95 37 48 67 38 +48 10 38 0.35209 89 37 51 36 39 +36 8 32 0.48804 86 25 21 57 34 +27 10 40 0.94067 84 79 61 81 19 +42 10 39 0.81808 58 80 73 63 16 +# 2023-09-09 23:45:41 -03: Stopped because budget is exhausted +# Iteration: 6 +# nbIterations: 5 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 122 +# number of elites: 5 +# nbConfigurations: 14 +# Total CPU user time: 266913.6, CPU sys time: 14.689, Wall-clock time: 37942.02 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 8 36 0.32775 95 37 48 67 38 +48 10 38 0.35209 89 37 51 36 39 +36 8 32 0.48804 86 25 21 57 34 +27 10 40 0.94067 84 79 61 81 19 +42 10 39 0.81808 58 80 73 63 16 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +25 -K8 -k36 -M0.32775 -Q95 -G37 -D48 -O67 -L38 +48 -K10 -k38 -M0.35209 -Q89 -G37 -D51 -O36 -L39 +36 -K8 -k32 -M0.48804 -Q86 -G25 -D21 -O57 -L34 +27 -K10 -k40 -M0.94067 -Q84 -G79 -D61 -O81 -L19 +42 -K10 -k39 -M0.81808 -Q58 -G80 -D73 -O63 -L16 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 23:45:41 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-15.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-15.txt new file mode 100644 index 000000000..957299888 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-15.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 23:45:41 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1342875276 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 23:45:41 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 500.0266200| 16|00:13:44| NA| NA| NA| +|x| 2| 16| 12| 400.2164375| 32|00:13:45|+0.52|0.76|0.1031| +|x| 3| 16| 14| 673.6063677| 48|00:13:44|+0.57|0.72|0.1914| +|x| 4| 16| 12| 630.3266055| 64|00:13:45|+0.59|0.69|0.1757| +|-| 5| 7| 12| 564.3003686| 80|00:13:45|-0.11|0.11|0.9103| +|=| 6| 7| 12| 673.7432725| 87|00:12:29|-0.03|0.14|0.8611| +|=| 7| 7| 12| 620.3674477| 94|00:12:30|+0.08|0.21|0.7858| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 620.3674477 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 9 20 0.3303 83 92 17 20 54 NA + +# 2023-09-10 01:19:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 9 20 0.33030 83 92 17 20 54 +13 8 31 0.98808 83 84 75 28 59 +7 8 13 0.28838 64 52 91 7 27 +14 10 38 0.89965 73 68 8 77 42 +4 9 6 0.62984 73 27 55 28 5 +# 2023-09-10 01:19:26 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 14| 1201.202832| 17|00:19:59| NA| NA| NA| +|x| 3| 17| 4| 1214.907369| 29|00:11:15|+0.34|0.67|1.1372| +|x| 2| 17| 4| 910.0151580| 41|00:11:15|+0.41|0.61|0.8673| +|x| 4| 17| 21| 806.1769565| 53|00:11:15|+0.32|0.49|0.8325| +|-| 5| 13| 17| 708.2170958| 65|00:11:15|-0.10|0.12|1.0625| +|=| 6| 13| 25| 789.6018798| 73|00:11:14|-0.12|0.07|1.0282| +|=| 1| 13| 25| 748.2343501| 81|00:11:15|-0.06|0.09|0.9595| +|=| 7| 13| 25| 692.2207529| 89|00:11:14|-0.01|0.12|0.9081| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 692.2207529 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 9 23 0.52245 68 100 10 8 24 12 + +# 2023-09-10 02:58:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 9 23 0.52245 68 100 10 8 24 +19 9 44 0.77577 46 75 10 44 3 +17 8 22 0.12301 47 66 44 24 17 +12 9 20 0.33030 83 92 17 20 54 +21 9 42 0.66380 82 100 74 84 48 +# 2023-09-10 02:58:12 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 36| 500.0129880| 16|00:19:59| NA| NA| NA| +|x| 7| 16| 19| 400.0686335| 27|00:12:30|+0.13|0.57|1.0315| +|x| 6| 16| 19| 667.7740490| 38|00:12:30|+0.22|0.48|0.7605| +|x| 5| 16| 19| 575.9047870| 49|00:12:29|+0.36|0.52|0.6511| +|-| 2| 10| 25| 521.0430362| 60|00:12:30|-0.11|0.11|0.9190| +|=| 1| 10| 19| 517.3700028| 65|00:12:29|-0.03|0.14|0.8970| +|=| 8| 10| 25| 616.7248656| 70|00:12:29|-0.06|0.09|0.9530| +|=| 3| 10| 25| 692.2144706| 75|00:12:30|-0.04|0.09|0.9379| +|=| 4| 10| 25| 670.8683541| 80|00:12:30|-0.04|0.07|0.9377| +|=| 10| 10| 19| 634.7027846| 90|00:12:30|-0.03|0.07|0.9209| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 634.7027846 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 9 44 0.77577 46 75 10 44 3 14 + +# 2023-09-10 05:10:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 9 44 0.77577 46 75 10 44 3 +33 9 14 0.31983 50 82 39 19 17 +25 9 23 0.52245 68 100 10 8 24 +21 9 42 0.66380 82 100 74 84 48 +17 8 22 0.12301 47 66 44 24 17 +# 2023-09-10 05:10:42 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 273 +# remainingBudget: 227 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 25| 1200.300935| 14|00:21:14| NA| NA| NA| +|x| 10| 14| 47| 750.3108960| 23|00:12:30|-0.58|0.21|1.3492| +|x| 5| 14| 25| 600.5169237| 32|00:12:29|-0.25|0.17|1.2294| +|x| 8| 14| 25| 753.3451193| 41|00:12:30|-0.14|0.14|1.1034| +|=| 2| 14| 47| 664.2808144| 50|00:12:29|-0.08|0.13|1.0100| +|=| 4| 14| 33| 634.4022795| 59|00:12:29|-0.05|0.12|0.9717| +|=| 6| 14| 33| 718.1414386| 68|00:12:29|+0.00|0.15|0.9318| +|=| 9| 14| 33| 690.8785526| 77|00:12:30|+0.02|0.14|0.9197| +|=| 1| 14| 33| 669.6732139| 86|00:12:30|+0.04|0.15|0.8850| +|=| 7| 14| 25| 631.8612093| 95|00:12:30|+0.06|0.16|0.8884| +|=| 3| 14| 25| 685.3867090| 104|00:12:29|+0.05|0.14|0.8926| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 25 mean value: 685.3867090 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +25 25 9 23 0.52245 68 100 10 8 24 12 + +# 2023-09-10 07:36:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +25 9 23 0.52245 68 100 10 8 24 +47 9 31 0.71297 64 92 29 2 24 +19 9 44 0.77577 46 75 10 44 3 +33 9 14 0.31983 50 82 39 19 17 +42 8 39 0.63584 27 88 12 14 30 +# 2023-09-10 07:36:57 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 377 +# remainingBudget: 123 +# currentBudget: 123 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 25| 500.0237550| 14|00:20:00| NA| NA| NA| +|x| 7| 14| 25| 400.0746635| 23|00:12:29|+0.24|0.62|0.6566| +|x| 10| 14| 57| 366.9311930| 32|00:12:30|+0.00|0.34|0.9866| +|x| 1| 14| 19| 400.0838850| 41|00:12:29|+0.04|0.28|0.9375| +|=| 11| 14| 50| 560.3740028| 50|00:12:30|+0.09|0.27|0.8535| +|=| 4| 14| 50| 550.3160470| 59|00:12:30|+0.07|0.22|0.8998| +|=| 3| 14| 19| 646.2105903| 68|00:12:30|+0.12|0.24|0.9111| +|-| 5| 11| 50| 602.8669563| 77|00:12:29|-0.01|0.12|0.9357| +|=| 8| 11| 50| 671.4671379| 83|00:12:29|-0.02|0.09|0.9496| +|=| 9| 11| 50| 654.3254923| 89|00:12:29|-0.04|0.06|0.9532| +|=| 2| 11| 50| 622.1229205| 95|00:12:29|-0.05|0.05|0.9582| +|=| 6| 11| 50| 672.0134137| 101|00:12:30|-0.04|0.05|0.9420| +|=| 13| 11| 50| 712.7026563| 112|00:12:30|-0.03|0.05|0.9261| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 712.7026563 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 9 41 0.91967 46 87 8 44 7 19 + +# 2023-09-10 10:26:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 41 0.91967 46 87 8 44 7 +25 9 23 0.52245 68 100 10 8 24 +55 9 29 0.77596 79 83 10 1 32 +54 10 43 0.80410 56 72 5 10 12 +19 9 44 0.77577 46 75 10 44 3 +# 2023-09-10 10:26:57 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 288587.4, CPU sys time: 16.435, Wall-clock time: 38475.57 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 41 0.91967 46 87 8 44 7 +25 9 23 0.52245 68 100 10 8 24 +55 9 29 0.77596 79 83 10 1 32 +54 10 43 0.80410 56 72 5 10 12 +19 9 44 0.77577 46 75 10 44 3 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K9 -k41 -M0.91967 -Q46 -G87 -D8 -O44 -L7 +25 -K9 -k23 -M0.52245 -Q68 -G100 -D10 -O8 -L24 +55 -K9 -k29 -M0.77596 -Q79 -G83 -D10 -O1 -L32 +54 -K10 -k43 -M0.8041 -Q56 -G72 -D5 -O10 -L12 +19 -K9 -k44 -M0.77577 -Q46 -G75 -D10 -O44 -L3 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 10:26:57 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-16.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-16.txt new file mode 100644 index 000000000..0f6ad0fbe --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-16.txt @@ -0,0 +1,244 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:25:38 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 671230226 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:25:38 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 10| 300.1313970| 16|00:13:26| NA| NA| NA| +|x| 2| 16| 7| 400.1004420| 32|00:13:19|+0.69|0.84|0.3340| +|x| 3| 16| 7| 673.4795077| 48|00:13:20|+0.53|0.69|0.3520| +|x| 4| 16| 7| 805.4898678| 64|00:13:19|+0.60|0.70|0.3788| +|-| 5| 4| 7| 744.4227178| 80|00:13:20|+0.12|0.30|0.7861| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 744.4227178 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 7 24 0.86865 59 3 6 1 7 NA + +# 2023-09-06 17:32:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 7 24 0.86865 59 3 6 1 7 +10 10 12 0.13755 23 41 34 11 46 +4 5 23 0.92762 64 4 4 5 1 +11 7 37 0.96550 79 34 99 85 49 +# 2023-09-06 17:32:24 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 29| 300.0849000| 17|00:20:11| NA| NA| NA| +|x| 5| 17| 29| 400.0714095| 30|00:14:40|+0.67|0.84|0.2508| +|x| 1| 17| 19| 366.7986900| 43|00:14:46|+0.55|0.70|0.1968| +|x| 2| 17| 19| 400.1214765| 56|00:14:39|+0.50|0.62|0.2710| +|-| 3| 10| 19| 560.3792886| 69|00:14:40|-0.05|0.16|1.0147| +|=| 4| 10| 19| 667.6340562| 75|00:13:19|-0.05|0.13|0.9447| +|=| 7| 10| 19| 615.1433811| 85|00:13:21|+0.01|0.15|0.9129| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 615.1433811 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 9 18 0.17325 88 61 72 22 36 10 + +# 2023-09-06 19:18:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 9 18 0.17325 88 61 72 22 36 +7 7 24 0.86865 59 3 6 1 7 +22 6 26 0.35552 62 56 40 56 0 +28 9 7 0.47233 78 54 12 37 37 +4 5 23 0.92762 64 4 4 5 1 +# 2023-09-06 19:18:03 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 165 +# remainingBudget: 335 +# currentBudget: 111 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 39| 1201.346520| 18|00:21:19| NA| NA| NA| +|x| 2| 18| 42| 860.3044470| 31|00:13:19|-0.00|0.50|1.4438| +|x| 6| 18| 40| 673.8606177| 44|00:13:24|+0.01|0.34|1.1681| +|x| 5| 18| 40| 630.4282182| 57|00:13:19|+0.14|0.35|1.0197| +|=| 7| 18| 38| 564.1309846| 70|00:13:23|+0.11|0.29|0.9800| +|=| 1| 18| 38| 520.2219605| 83|00:13:23|+0.08|0.23|0.9646| +|-| 3| 15| 38| 620.2558027| 96|00:13:19|-0.05|0.10|1.0264| +|=| 4| 15| 36| 694.8262924| 106|00:13:19|-0.02|0.11|0.9799| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 694.8262924 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 36 0.15656 40 58 28 51 9 19 + +# 2023-09-06 21:12:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 36 0.15656 40 58 28 51 9 +7 7 24 0.86865 59 3 6 1 7 +38 10 14 0.50950 96 50 47 39 31 +19 9 18 0.17325 88 61 72 22 36 +40 10 33 0.17608 71 66 73 48 9 +# 2023-09-06 21:12:54 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 271 +# remainingBudget: 229 +# currentBudget: 114 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 50| 500.0856770| 17|00:22:40| NA| NA| NA| +|x| 5| 17| 49| 500.0888860| 29|00:13:20|+0.42|0.71|0.5359| +|x| 8| 17| 53| 740.1132643| 41|00:13:20|+0.07|0.38|1.1005| +|x| 4| 17| 53| 860.6055872| 53|00:13:19|-0.18|0.12|1.1163| +|=| 2| 17| 44| 784.6559316| 65|00:13:20|-0.14|0.09|1.0714| +|=| 1| 17| 44| 703.9403523| 77|00:13:25|-0.11|0.08|1.0464| +|=| 7| 17| 50| 649.1130876| 89|00:13:25|-0.06|0.09|1.0025| +|=| 3| 17| 36| 719.8287965| 101|00:13:20|-0.02|0.11|0.9861| +|=| 6| 17| 36| 673.1884500| 113|00:13:28|+0.00|0.11|0.9736| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 673.1884500 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 36 0.15656 40 58 28 51 9 19 + +# 2023-09-06 23:22:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 36 0.15656 40 58 28 51 9 +7 7 24 0.86865 59 3 6 1 7 +19 9 18 0.17325 88 61 72 22 36 +52 8 24 0.25324 79 52 51 6 31 +38 10 14 0.50950 96 50 47 39 31 +# 2023-09-06 23:22:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 61| 300.1785400| 16|00:24:04| NA| NA| NA| +|x| 3| 16| 19| 750.9999300| 27|00:13:20|+0.31|0.66|0.7702| +|x| 5| 16| 57| 667.6306517| 38|00:13:20|+0.15|0.43|0.8980| +|x| 2| 16| 19| 625.5535230| 49|00:13:20|-0.00|0.25|0.9832| +|=| 4| 16| 7| 744.4549484| 60|00:13:19|+0.06|0.24|0.8542| +|=| 8| 16| 7| 824.0684000| 71|00:13:20|-0.04|0.14|0.8519| +|=| 1| 16| 19| 747.1116991| 82|00:13:23|-0.03|0.12|0.9015| +|=| 9| 16| 7| 718.0891466| 93|00:13:20|-0.03|0.10|0.8963| +|=| 6| 16| 58| 667.9523396| 104|00:13:23|-0.01|0.10|0.8881| +|=| 7| 16| 7| 634.5106536| 115|00:13:24|+0.01|0.11|0.8886| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 634.5106536 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 7 24 0.86865 59 3 6 1 7 NA + +# 2023-09-07 01:46:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 7 24 0.86865 59 3 6 1 7 +58 8 15 0.16190 87 59 87 10 52 +36 9 36 0.15656 40 58 28 51 9 +19 9 18 0.17325 88 61 72 22 36 +38 10 14 0.50950 96 50 47 39 31 +# 2023-09-07 01:46:51 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 291643.9, CPU sys time: 21.395, Wall-clock time: 33673.25 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 7 24 0.86865 59 3 6 1 7 +58 8 15 0.16190 87 59 87 10 52 +36 9 36 0.15656 40 58 28 51 9 +19 9 18 0.17325 88 61 72 22 36 +38 10 14 0.50950 96 50 47 39 31 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +7 -K7 -k24 -M0.86865 -Q59 -G3 -D6 -O1 -L7 +58 -K8 -k15 -M0.1619 -Q87 -G59 -D87 -O10 -L52 +36 -K9 -k36 -M0.15656 -Q40 -G58 -D28 -O51 -L9 +19 -K9 -k18 -M0.17325 -Q88 -G61 -D72 -O22 -L36 +38 -K10 -k14 -M0.5095 -Q96 -G50 -D47 -O39 -L31 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 01:46:51 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-17.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-17.txt new file mode 100644 index 000000000..dd58cc299 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-17.txt @@ -0,0 +1,303 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 01:46:51 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2144824614 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 01:46:51 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 10| 1200.754507| 16|00:16:59| NA| NA| NA| +|x| 2| 16| 15| 754.4050600| 32|00:17:05|+0.41|0.71|0.8941| +|x| 3| 16| 15| 669.6257520| 48|00:16:59|+0.46|0.64|0.6639| +|x| 4| 16| 15| 577.2505135| 64|00:17:04|+0.58|0.69|0.4905| +|-| 5| 10| 15| 706.2404032| 80|00:16:59|-0.08|0.13|1.0286| +|=| 6| 10| 15| 671.8732590| 90|00:14:10|+0.00|0.17|0.9589| +|=| 7| 10| 15| 618.7800756| 100|00:14:13|+0.03|0.17|0.8936| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 618.7800756 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 7 18 0.60046 77 5 34 44 12 NA + +# 2023-09-07 03:40:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 7 18 0.60046 77 5 34 44 12 +6 8 38 0.33193 86 53 49 1 61 +11 8 25 0.50085 98 1 43 59 0 +3 8 28 0.48863 82 39 97 88 8 +10 9 28 0.24835 80 84 35 53 61 +# 2023-09-07 03:40:24 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 26| 500.0243240| 16|00:21:14| NA| NA| NA| +|x| 2| 16| 6| 400.1173935| 27|00:14:11|+0.26|0.63|0.8007| +|x| 4| 16| 15| 366.7751317| 38|00:14:12|+0.42|0.61|0.6661| +|x| 5| 16| 26| 576.0246202| 49|00:14:09|+0.19|0.39|0.7796| +|-| 7| 12| 6| 524.2365696| 60|00:14:14|-0.05|0.16|1.0161| +|=| 1| 12| 15| 638.5727190| 67|00:14:09|-0.04|0.13|1.0030| +|=| 3| 12| 6| 620.2630879| 74|00:14:09|-0.02|0.12|0.9683| +|=| 6| 12| 6| 605.2353534| 81|00:14:15|-0.02|0.11|0.9622| +|=| 9| 12| 15| 670.5027889| 93|00:14:09|+0.01|0.12|0.9264| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 670.5027889 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 7 18 0.60046 77 5 34 44 12 NA + +# 2023-09-07 05:55:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 7 18 0.60046 77 5 34 44 12 +11 8 25 0.50085 98 1 43 59 0 +6 8 38 0.33193 86 53 49 1 61 +21 9 31 0.86842 94 10 39 98 74 +3 8 28 0.48863 82 39 97 88 8 +# 2023-09-07 05:55:12 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 500.0383740| 14|00:14:09| NA| NA| NA| +|x| 6| 14| 15| 500.0671005| 23|00:12:44|-0.01|0.50|0.8896| +|x| 4| 14| 15| 433.4196663| 32|00:12:48|+0.22|0.48|0.7174| +|x| 2| 14| 28| 400.0708305| 41|00:12:47|+0.33|0.50|0.5880| +|-| 8| 9| 28| 420.0744076| 50|00:12:44|+0.03|0.23|0.8753| +|=| 3| 9| 28| 433.4025215| 54|00:12:44|-0.05|0.13|0.9204| +|=| 5| 9| 28| 545.8724877| 58|00:12:44|-0.09|0.07|0.9739| +|=| 1| 9| 34| 626.5207656| 62|00:12:45|-0.04|0.09|0.9244| +|=| 7| 9| 15| 592.4041834| 66|00:12:45|-0.04|0.08|0.9120| +|=| 9| 9| 15| 653.4621763| 70|00:12:44|-0.03|0.07|0.9118| +|=| 11| 9| 15| 621.3393269| 79|00:12:48|-0.01|0.08|0.8885| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 621.3393269 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 7 18 0.60046 77 5 34 44 12 NA + +# 2023-09-07 08:17:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 7 18 0.60046 77 5 34 44 12 +34 9 14 0.38139 100 5 14 21 3 +6 8 38 0.33193 86 53 49 1 61 +11 8 25 0.50085 98 1 43 59 0 +3 8 28 0.48863 82 39 97 88 8 +# 2023-09-07 08:17:00 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 272 +# remainingBudget: 228 +# currentBudget: 114 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 37| 1202.041592| 14|00:19:49| NA| NA| NA| +|x| 1| 14| 37| 1211.306992| 23|00:14:10|-0.36|0.32|1.3404| +|x| 10| 14| 44| 976.9971007| 32|00:14:09|-0.23|0.18|1.0962| +|x| 7| 14| 44| 807.8331513| 41|00:14:10|-0.14|0.14|0.9673| +|=| 8| 14| 44| 746.2749884| 50|00:14:09|-0.02|0.18|0.8273| +|=| 4| 14| 38| 670.7486620| 59|00:14:14|+0.02|0.18|0.7921| +|=| 2| 14| 38| 617.7922473| 68|00:14:11|+0.04|0.18|0.8053| +|=| 3| 14| 38| 603.0749810| 77|00:14:09|+0.09|0.20|0.7680| +|=| 9| 14| 38| 669.4117814| 86|00:14:09|+0.07|0.17|0.8224| +|-| 11| 11| 38| 632.4790207| 95|00:14:11|-0.02|0.08|0.9350| +|=| 6| 11| 38| 620.4414703| 101|00:14:10|-0.02|0.07|0.9294| +|=| 5| 11| 38| 670.4499010| 107|00:14:09|-0.02|0.06|0.9513| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 670.4499010 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 8 17 0.48259 73 5 7 8 3 34 + +# 2023-09-07 11:12:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 8 17 0.48259 73 5 7 8 3 +44 10 44 0.57656 85 24 41 33 79 +15 7 18 0.60046 77 5 34 44 12 +34 9 14 0.38139 100 5 14 21 3 +42 8 19 0.33816 90 74 26 14 63 +# 2023-09-07 11:12:46 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 44| 1210.830805| 13|00:19:49| NA| NA| NA| +|x| 2| 13| 46| 760.4300670| 21|00:14:10|+0.12|0.56|0.9129| +|x| 7| 13| 44| 603.8054430| 29|00:14:11|+0.03|0.35|0.7742| +|x| 6| 13| 44| 577.8588613| 37|00:14:09|+0.26|0.45|0.6457| +|-| 9| 10| 44| 706.4708162| 45|00:14:09|-0.02|0.18|0.9190| +|=| 11| 10| 44| 638.7594277| 50|00:14:10|+0.02|0.18|0.8600| +|=| 10| 10| 44| 618.9423683| 55|00:14:10|+0.01|0.15|0.9082| +|=| 3| 10| 44| 604.0772939| 60|00:14:10|+0.05|0.17|0.9011| +|=| 5| 10| 48| 671.5230402| 65|00:14:10|+0.04|0.15|0.9294| +|=| 1| 10| 48| 724.5331318| 70|00:14:09|+0.03|0.13|0.9291| +|=| 8| 10| 48| 704.1227566| 75|00:14:09|+0.05|0.14|0.9157| +|=| 12| 10| 48| 746.2566342| 80|00:14:10|+0.05|0.13|0.9253| +|=| 4| 10| 48| 711.9659440| 85|00:14:10|+0.04|0.12|0.9249| +|=| 14| 10| 48| 696.8386636| 95|00:14:10|+0.03|0.10|0.9262| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 696.8386636 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 21 0.4659 71 42 30 0 3 38 + +# 2023-09-07 14:36:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 21 0.46590 71 42 30 0 3 +46 10 27 0.22221 98 11 28 20 9 +38 8 17 0.48259 73 5 7 8 3 +44 10 44 0.57656 85 24 41 33 79 +47 9 13 0.48672 89 18 0 16 42 +# 2023-09-07 14:36:47 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 474 +# remainingBudget: 26 +# currentBudget: 26 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 6| 44| 300.0200890| 6|00:14:09| NA| NA| NA| +|x| 6| 6| 44| 400.0196025| 7|00:11:20|+0.14|0.57|1.0570| +|x| 8| 6| 48| 433.3703683| 8|00:11:19|-0.30|0.14|1.1337| +|x| 9| 6| 48| 630.2549522| 9|00:11:19|-0.23|0.08|1.0550| +|=| 7| 6| 54| 560.6978366| 10|00:11:19|-0.20|0.04|1.0172| +|=| 2| 6| 48| 520.3009310| 11|00:11:19|-0.16|0.03|0.9833| +|=| 14| 6| 44| 517.3724384| 12|00:11:20|-0.10|0.06|0.9360| +|=| 4| 6| 54| 487.9898779| 13|00:11:20|-0.09|0.05|0.9015| +|=| 3| 6| 44| 491.3986534| 14|00:11:19|-0.08|0.04|0.9152| +|=| 10| 6| 44| 492.2627893| 15|00:11:19|-0.07|0.03|0.9217| +|=| 5| 6| 48| 556.6617871| 16|00:11:20|-0.06|0.04|0.9052| +|=| 12| 6| 48| 611.0840788| 17|00:11:20|-0.03|0.05|0.8883| +|=| 13| 6| 48| 657.9894085| 18|00:11:20|-0.02|0.06|0.8925| +|=| 1| 6| 48| 696.8204476| 19|00:11:19|-0.03|0.04|0.8874| +|=| 11| 6| 48| 670.3866131| 20|00:11:20|-0.04|0.02|0.8894| +|=| 16| 6| 48| 704.7668674| 26|00:14:09|-0.04|0.03|0.8848| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 704.7668674 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 21 0.4659 71 42 30 0 3 38 + +# 2023-09-07 17:43:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 21 0.46590 71 42 30 0 3 +44 10 44 0.57656 85 24 41 33 79 +46 10 27 0.22221 98 11 28 20 9 +54 8 24 0.36622 73 16 28 8 13 +38 8 17 0.48259 73 5 7 8 3 +# 2023-09-07 17:43:47 -03: Stopped because budget is exhausted +# Iteration: 7 +# nbIterations: 6 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 26 +# number of elites: 5 +# nbConfigurations: 6 +# Total CPU user time: 311690.9, CPU sys time: 17.47, Wall-clock time: 57415.7 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 21 0.46590 71 42 30 0 3 +44 10 44 0.57656 85 24 41 33 79 +46 10 27 0.22221 98 11 28 20 9 +54 8 24 0.36622 73 16 28 8 13 +38 8 17 0.48259 73 5 7 8 3 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +48 -K9 -k21 -M0.4659 -Q71 -G42 -D30 -O0 -L3 +44 -K10 -k44 -M0.57656 -Q85 -G24 -D41 -O33 -L79 +46 -K10 -k27 -M0.22221 -Q98 -G11 -D28 -O20 -L9 +54 -K8 -k24 -M0.36622 -Q73 -G16 -D28 -O8 -L13 +38 -K8 -k17 -M0.48259 -Q73 -G5 -D7 -O8 -L3 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 17:43:47 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-18.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-18.txt new file mode 100644 index 000000000..37ff399f2 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-18.txt @@ -0,0 +1,248 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 17:43:47 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1550746829 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 17:43:47 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 300.0565310| 16|00:15:04| NA| NA| NA| +|x| 2| 16| 15| 400.0597615| 32|00:14:59|+0.71|0.86|0.3219| +|x| 3| 16| 15| 673.6140113| 48|00:15:00|+0.67|0.78|0.5860| +|x| 4| 16| 6| 630.2741185| 64|00:14:59|+0.72|0.79|0.4464| +|-| 5| 5| 6| 564.2532648| 80|00:15:05|-0.03|0.18|0.7994| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 564.2532648 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 32 0.89384 91 99 14 66 30 NA + +# 2023-09-07 18:58:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 32 0.89384 91 99 14 66 30 +15 8 21 0.57291 87 55 28 6 49 +4 9 33 0.86592 72 86 70 21 49 +9 7 27 0.77707 66 66 38 96 46 +11 10 1 0.12566 66 39 36 24 11 +# 2023-09-07 18:58:57 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 4| 1201.729128| 18|00:25:29| NA| NA| NA| +|x| 5| 18| 19| 760.3052015| 31|00:18:08|-0.01|0.49|0.8781| +|x| 1| 18| 6| 606.9596157| 44|00:18:05|+0.28|0.52|0.7052| +|x| 3| 18| 19| 755.3900825| 57|00:17:59|+0.06|0.29|0.9279| +|=| 2| 18| 19| 704.3466568| 70|00:17:59|+0.11|0.29|0.8928| +|-| 4| 13| 6| 673.6444008| 83|00:18:00|-0.06|0.12|1.0004| +|=| 7| 13| 15| 620.2804139| 96|00:19:34|-0.02|0.13|0.9663| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 620.2804139 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 21 0.57291 87 55 28 6 49 NA + +# 2023-09-07 21:14:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 21 0.57291 87 55 28 6 49 +6 10 32 0.89384 91 99 14 66 30 +4 9 33 0.86592 72 86 70 21 49 +19 9 38 0.63686 61 94 4 7 47 +17 8 33 0.15310 59 93 2 31 10 +# 2023-09-07 21:14:15 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 176 +# remainingBudget: 324 +# currentBudget: 108 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 30| 1200.659570| 17|00:25:30| NA| NA| NA| +|x| 1| 17| 30| 750.4058800| 29|00:15:05|-0.16|0.42|0.9303| +|x| 4| 17| 6| 667.4919627| 41|00:14:59|+0.22|0.48|0.6451| +|x| 5| 17| 6| 575.6614345| 53|00:15:06|+0.27|0.46|0.6303| +|-| 6| 10| 6| 704.6491638| 65|00:14:59|-0.03|0.18|0.8662| +|=| 7| 10| 6| 637.2992378| 70|00:15:00|-0.07|0.11|0.9469| +|=| 3| 10| 19| 717.5612750| 75|00:15:00|-0.09|0.07|0.9696| +|=| 2| 10| 19| 690.3877349| 80|00:15:00|-0.12|0.02|0.9993| +|=| 9| 10| 6| 671.6424480| 90|00:14:59|-0.10|0.02|0.9784| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 671.6424480 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 32 0.89384 91 99 14 66 30 NA + +# 2023-09-07 23:39:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 32 0.89384 91 99 14 66 30 +17 8 33 0.15310 59 93 2 31 10 +19 9 38 0.63686 61 94 4 7 47 +35 8 19 0.24063 74 83 1 5 12 +34 10 22 0.99950 81 82 17 80 33 +# 2023-09-07 23:39:56 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 266 +# remainingBudget: 234 +# currentBudget: 117 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 6| 500.0492960| 16|00:23:59| NA| NA| NA| +|x| 3| 16| 44| 850.2808515| 27|00:14:59|-0.14|0.43|1.0432| +|x| 4| 16| 44| 733.5373490| 38|00:14:59|-0.01|0.32|0.9484| +|x| 2| 16| 44| 675.1752687| 49|00:15:00|-0.06|0.20|0.9658| +|=| 9| 16| 6| 644.2145264| 60|00:14:59|+0.00|0.20|0.8996| +|=| 5| 16| 6| 586.8737470| 71|00:15:04|+0.04|0.20|0.8659| +|=| 8| 16| 6| 674.7961033| 82|00:15:00|+0.04|0.18|0.8691| +|=| 6| 16| 6| 743.0216005| 93|00:14:59|+0.01|0.13|0.9230| +|=| 7| 16| 6| 693.8580458| 104|00:15:03|+0.04|0.15|0.9030| +|=| 1| 16| 6| 654.4831328| 115|00:15:04|+0.03|0.12|0.9129| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 654.4831328 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 10 32 0.89384 91 99 14 66 30 NA + +# 2023-09-08 02:19:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 10 32 0.89384 91 99 14 66 30 +42 8 25 0.28911 80 60 10 23 26 +44 10 26 0.94185 67 98 27 62 53 +49 9 37 0.87233 66 83 68 12 37 +19 9 38 0.63686 61 94 4 7 47 +# 2023-09-08 02:19:07 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 381 +# remainingBudget: 119 +# currentBudget: 119 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 61| 300.0441580| 15|00:27:07| NA| NA| NA| +|x| 2| 15| 61| 400.0557290| 25|00:14:59|-0.14|0.43|1.0664| +|x| 6| 15| 61| 667.2526153| 35|00:14:59|+0.07|0.38|0.9742| +|x| 10| 15| 61| 625.4453450| 45|00:15:00|+0.25|0.44|0.8057| +|=| 8| 15| 61| 741.0700002| 55|00:14:59|+0.07|0.25|0.9100| +|=| 1| 15| 61| 667.5830063| 65|00:15:02|+0.08|0.23|0.8986| +|=| 5| 15| 61| 615.1009971| 75|00:15:07|+0.04|0.18|0.9240| +|=| 3| 15| 61| 691.0460607| 85|00:14:59|-0.03|0.10|0.9761| +|=| 4| 15| 61| 669.8320480| 95|00:15:00|-0.01|0.10|0.9691| +|=| 7| 15| 42| 632.5405327| 105|00:15:03|-0.00|0.10|0.9521| +|=| 9| 15| 42| 620.4981506| 115|00:14:59|+0.01|0.10|0.9332| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 620.4981506 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 8 25 0.28911 80 60 10 23 26 35 + +# 2023-09-08 05:16:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 8 25 0.28911 80 60 10 23 26 +6 10 32 0.89384 91 99 14 66 30 +59 10 27 0.84561 92 97 0 64 25 +61 10 33 0.86185 92 93 25 74 30 +44 10 26 0.94185 67 98 27 62 53 +# 2023-09-08 05:16:28 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 345612.8, CPU sys time: 23.728, Wall-clock time: 41560.66 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 8 25 0.28911 80 60 10 23 26 +6 10 32 0.89384 91 99 14 66 30 +59 10 27 0.84561 92 97 0 64 25 +61 10 33 0.86185 92 93 25 74 30 +44 10 26 0.94185 67 98 27 62 53 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +42 -K8 -k25 -M0.28911 -Q80 -G60 -D10 -O23 -L26 +6 -K10 -k32 -M0.89384 -Q91 -G99 -D14 -O66 -L30 +59 -K10 -k27 -M0.84561 -Q92 -G97 -D0 -O64 -L25 +61 -K10 -k33 -M0.86185 -Q92 -G93 -D25 -O74 -L30 +44 -K10 -k26 -M0.94185 -Q67 -G98 -D27 -O62 -L53 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 05:16:28 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-19.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-19.txt new file mode 100644 index 000000000..2190ae0ff --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-19.txt @@ -0,0 +1,260 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 05:16:28 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 967489288 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 05:16:28 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 9| 500.0601450| 16|00:15:49| NA| NA| NA| +|x| 2| 16| 9| 400.2550380| 32|00:15:53|+0.36|0.68|0.5772| +|x| 3| 16| 9| 673.6284580| 48|00:15:50|+0.35|0.57|0.6213| +|x| 4| 16| 9| 810.4916737| 64|00:15:50|+0.45|0.59|0.5677| +|-| 5| 10| 9| 708.4202106| 80|00:15:53|-0.05|0.16|1.0134| +|=| 6| 10| 9| 673.6904827| 90|00:15:49|+0.03|0.19|0.9343| +|=| 7| 10| 9| 648.9027284| 100|00:15:49|+0.05|0.19|0.8829| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 648.9027284 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 26 0.37008 18 78 1 29 17 NA + +# 2023-09-08 07:07:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 26 0.37008 18 78 1 29 17 +11 5 31 0.41340 66 5 34 33 48 +2 6 27 0.70273 89 63 81 68 86 +10 10 10 0.42705 32 43 21 14 63 +13 9 34 0.29874 74 34 65 24 93 +# 2023-09-08 07:07:26 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 17| 1201.087273| 16|00:22:09| NA| NA| NA| +|x| 3| 16| 9| 1211.943446| 27|00:15:49|-0.12|0.44|1.1563| +|x| 6| 16| 9| 974.6429117| 38|00:15:50|+0.23|0.49|0.7535| +|x| 4| 16| 2| 1031.391287| 49|00:15:49|+0.26|0.45|0.7624| +|=| 2| 16| 9| 889.0919974| 60|00:15:51|+0.15|0.32|0.8164| +|-| 1| 9| 9| 824.2533553| 71|00:15:49|-0.00|0.16|0.9160| +|=| 7| 9| 9| 777.9566193| 75|00:15:49|-0.03|0.12|0.9081| +|=| 5| 9| 9| 718.2288366| 79|00:15:50|-0.04|0.09|0.8949| +|=| 9| 9| 9| 671.7880029| 88|00:15:51|-0.03|0.08|0.8789| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 671.7880029 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 26 0.37008 18 78 1 29 17 NA + +# 2023-09-08 09:36:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 26 0.37008 18 78 1 29 17 +11 5 31 0.41340 66 5 34 33 48 +18 10 21 0.84241 37 40 16 35 4 +2 6 27 0.70273 89 63 81 68 86 +26 7 1 0.11171 16 18 77 45 11 +# 2023-09-08 09:36:18 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 35| 300.0720650| 14|00:23:51| NA| NA| NA| +|x| 5| 14| 35| 300.2522110| 23|00:15:50|-0.16|0.42|0.8274| +|x| 2| 14| 35| 300.2336370| 32|00:15:50|+0.22|0.48|0.6018| +|x| 9| 14| 11| 300.2573362| 41|00:15:51|+0.13|0.35|0.5526| +|-| 1| 12| 9| 340.3189626| 50|00:15:50|-0.05|0.16|1.0108| +|=| 4| 12| 9| 487.1126890| 57|00:15:49|-0.10|0.08|1.0053| +|=| 3| 12| 35| 589.6154357| 64|00:15:49|-0.09|0.07|0.9916| +|=| 8| 12| 9| 668.3203782| 71|00:15:49|-0.06|0.08|0.9546| +|=| 6| 12| 9| 649.6227632| 78|00:15:50|+0.01|0.12|0.9101| +|=| 7| 12| 35| 634.9802738| 85|00:15:50|-0.00|0.10|0.9227| +|=| 11| 12| 35| 622.7160395| 97|00:15:49|+0.02|0.11|0.8930| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 622.7160395 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 10 18 0.4392 31 82 12 63 38 9 + +# 2023-09-08 12:38:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 10 18 0.43920 31 82 12 63 38 +30 10 40 0.39866 18 88 16 27 38 +9 9 26 0.37008 18 78 1 29 17 +18 10 21 0.84241 37 40 16 35 4 +11 5 31 0.41340 66 5 34 33 48 +# 2023-09-08 12:38:31 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 9| 1201.301595| 13|00:22:09| NA| NA| NA| +|x| 7| 13| 18| 852.3809425| 21|00:15:49|-0.16|0.42|1.2259| +|x| 3| 13| 41| 968.8867650| 29|00:15:50|-0.25|0.17|1.2118| +|x| 11| 13| 41| 851.6776835| 37|00:15:49|-0.01|0.24|1.0070| +|=| 5| 13| 41| 741.3808044| 45|00:15:50|+0.08|0.27|0.9217| +|-| 10| 9| 41| 667.8617833| 53|00:15:50|+0.02|0.19|0.8592| +|=| 9| 9| 41| 615.3160809| 57|00:15:50|-0.01|0.14|0.8838| +|=| 8| 9| 41| 691.0059213| 61|00:15:49|-0.02|0.11|0.9040| +|=| 2| 9| 41| 647.6419814| 65|00:15:50|-0.05|0.07|0.9379| +|=| 4| 9| 41| 704.9148255| 69|00:15:50|-0.04|0.06|0.9287| +|=| 1| 9| 41| 686.2951496| 73|00:15:50|-0.04|0.06|0.9278| +|=| 6| 9| 41| 670.7742828| 77|00:15:49|-0.03|0.06|0.9177| +|=| 13| 9| 43| 642.0721887| 86|00:15:50|-0.01|0.07|0.9064| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 642.0721887 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 9 14 0.73626 50 33 10 54 22 18 + +# 2023-09-08 16:10:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 9 14 0.73626 50 33 10 54 22 +41 9 9 0.35453 55 74 22 54 37 +35 10 18 0.43920 31 82 12 63 38 +18 10 21 0.84241 37 40 16 35 4 +9 9 26 0.37008 18 78 1 29 17 +# 2023-09-08 16:10:41 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 371 +# remainingBudget: 129 +# currentBudget: 129 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 49| 1200.543008| 13|00:26:54| NA| NA| NA| +|x| 12| 13| 49| 1200.906377| 21|00:15:50|-0.12|0.44|1.1043| +|x| 7| 13| 49| 967.3035373| 29|00:15:50|-0.06|0.29|1.1346| +|x| 13| 13| 35| 805.0210302| 37|00:15:50|-0.09|0.18|1.0089| +|=| 4| 13| 49| 881.2912224| 45|00:15:49|+0.00|0.20|0.9802| +|=| 2| 13| 49| 784.4820450| 53|00:15:50|+0.03|0.19|0.9503| +|=| 10| 13| 49| 715.2801496| 61|00:15:50|+0.10|0.23|0.9147| +|=| 6| 13| 49| 688.3778398| 69|00:15:50|+0.08|0.19|0.8995| +|=| 5| 13| 49| 645.2557270| 77|00:15:50|+0.09|0.19|0.8689| +|=| 9| 13| 51| 610.7773774| 85|00:15:50|+0.07|0.16|0.8762| +|=| 8| 13| 51| 666.1879970| 93|00:15:49|+0.07|0.16|0.8703| +|=| 3| 13| 49| 709.3609089| 101|00:15:49|+0.04|0.12|0.8929| +|=| 1| 13| 49| 693.2629330| 109|00:15:49|+0.03|0.10|0.8993| +|=| 11| 13| 49| 679.4629883| 117|00:15:49|+0.04|0.11|0.8849| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 679.4629883 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 16 0.38604 54 91 5 68 35 41 + +# 2023-09-08 20:03:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 16 0.38604 54 91 5 68 35 +41 9 9 0.35453 55 74 22 54 37 +43 9 14 0.73626 50 33 10 54 22 +52 10 16 0.91573 41 37 18 44 10 +51 9 19 0.67563 57 77 12 40 27 +# 2023-09-08 20:03:27 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 488 +# timeUsed: 0 +# remainingBudget: 12 +# currentBudget: 12 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 350497.8, CPU sys time: 19.51, Wall-clock time: 53218.87 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 16 0.38604 54 91 5 68 35 +41 9 9 0.35453 55 74 22 54 37 +43 9 14 0.73626 50 33 10 54 22 +52 10 16 0.91573 41 37 18 44 10 +51 9 19 0.67563 57 77 12 40 27 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k16 -M0.38604 -Q54 -G91 -D5 -O68 -L35 +41 -K9 -k9 -M0.35453 -Q55 -G74 -D22 -O54 -L37 +43 -K9 -k14 -M0.73626 -Q50 -G33 -D10 -O54 -L22 +52 -K10 -k16 -M0.91573 -Q41 -G37 -D18 -O44 -L10 +51 -K9 -k19 -M0.67563 -Q57 -G77 -D12 -O40 -L27 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 20:03:27 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-2.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-2.txt new file mode 100644 index 000000000..475ca3d14 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-2.txt @@ -0,0 +1,245 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:21:48 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1918973628 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:21:48 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 301.2057160| 16|00:02:09| NA| NA| NA| +|x| 2| 16| 5| 400.6428300| 32|00:02:09|+0.69|0.85|0.1200| +|x| 3| 16| 5| 674.7675693| 48|00:02:09|+0.56|0.71|0.3728| +|x| 4| 16| 5| 631.1110100| 64|00:02:10|+0.59|0.69|0.3182| +|-| 5| 3| 5| 565.0631488| 80|00:02:10|+0.40|0.52|0.2849| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 565.0631488 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 8 4 0.2012 26 93 30 31 61 NA + +# 2023-09-06 16:32:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 8 4 0.20120 26 93 30 31 61 +2 5 28 0.92354 98 71 39 22 41 +9 4 36 0.91179 76 85 74 48 22 +# 2023-09-06 16:32:38 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 30| 1220.727716| 17|00:02:09| NA| NA| NA| +|x| 5| 17| 30| 760.7614465| 31|00:01:30|+0.25|0.63|0.3830| +|x| 4| 17| 30| 673.8806370| 45|00:01:29|+0.51|0.67|0.2287| +|x| 1| 17| 19| 582.1569240| 59|00:01:30|+0.46|0.59|0.2023| +|-| 3| 10| 17| 707.7625046| 73|00:01:29|-0.01|0.19|0.9480| +|=| 2| 10| 30| 674.5726040| 80|00:01:30|+0.01|0.18|0.8820| +|=| 7| 10| 30| 649.6747390| 90|00:01:29|+0.03|0.17|0.8588| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 649.6747390 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 5 42 0.8693 98 26 39 48 6 2 + +# 2023-09-06 16:43:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 5 42 0.86930 98 26 39 48 6 +19 9 34 0.71342 48 97 62 5 79 +5 8 4 0.20120 26 93 30 31 61 +2 5 28 0.92354 98 71 39 22 41 +17 8 29 0.93229 37 79 19 30 28 +# 2023-09-06 16:43:48 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 170 +# remainingBudget: 330 +# currentBudget: 110 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 40| 300.3300230| 18|00:01:51| NA| NA| NA| +|x| 7| 18| 34| 400.5105280| 31|00:01:29|+0.28|0.64|0.4979| +|x| 4| 18| 41| 433.8039883| 44|00:01:30|+0.31|0.54|0.4767| +|x| 3| 18| 2| 630.6537647| 57|00:01:29|+0.20|0.40|0.3829| +|-| 6| 14| 2| 748.9594622| 70|00:01:29|-0.00|0.20|1.0098| +|=| 5| 14| 34| 674.5905263| 79|00:01:30|-0.04|0.13|1.0136| +|=| 1| 14| 34| 621.1577737| 88|00:01:30|-0.03|0.12|0.9751| +|=| 2| 14| 41| 606.4207986| 97|00:01:29|-0.01|0.11|0.9426| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 606.4207986 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 6 37 0.54192 95 77 44 32 72 2 + +# 2023-09-06 16:56:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 6 37 0.54192 95 77 44 32 72 +34 9 41 0.40515 32 77 79 29 40 +30 5 42 0.86930 98 26 39 48 6 +2 5 28 0.92354 98 71 39 22 41 +40 5 40 0.96913 93 61 40 65 30 +# 2023-09-06 16:56:09 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 267 +# remainingBudget: 233 +# currentBudget: 116 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 48| 1220.116234| 17|00:02:29| NA| NA| NA| +|x| 8| 17| 44| 760.4612660| 29|00:01:40|+0.31|0.66|0.5710| +|x| 4| 17| 54| 674.1749930| 41|00:01:39|+0.28|0.52|0.5632| +|x| 2| 17| 54| 630.6681308| 53|00:01:40|+0.30|0.48|0.5754| +|-| 5| 10| 54| 564.6023174| 65|00:01:39|-0.10|0.12|0.9533| +|=| 3| 10| 54| 673.3059265| 70|00:01:29|-0.01|0.16|0.9038| +|=| 7| 10| 54| 648.5727210| 75|00:01:30|+0.02|0.16|0.8743| +|=| 6| 10| 54| 720.7115852| 80|00:01:29|-0.00|0.12|0.9268| +|=| 1| 10| 54| 674.2242103| 85|00:01:30|-0.05|0.07|0.9470| +|=| 10| 10| 54| 729.4137101| 95|00:01:29|-0.05|0.06|0.9363| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 729.4137101 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 9 42 0.47773 81 88 67 28 57 41 + +# 2023-09-06 17:12:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 9 42 0.47773 81 88 67 28 57 +44 7 30 0.48964 97 79 54 7 58 +34 9 41 0.40515 32 77 79 29 40 +46 6 32 0.82386 76 77 0 14 38 +2 5 28 0.92354 98 71 39 22 41 +# 2023-09-06 17:12:49 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 362 +# remainingBudget: 138 +# currentBudget: 138 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 17| 65| 300.3899240| 17|00:02:40| NA| NA| NA| +|x| 2| 17| 54| 400.6480530| 29|00:01:40|-0.12|0.44|0.7873| +|x| 8| 17| 54| 367.2466333| 41|00:01:40|+0.19|0.46|0.5955| +|x| 9| 17| 54| 580.9519700| 53|00:01:39|+0.08|0.31|0.7509| +|=| 6| 17| 63| 708.9704506| 65|00:01:40|+0.02|0.21|0.8381| +|=| 5| 17| 54| 641.6384298| 77|00:01:40|+0.08|0.24|0.7863| +|=| 3| 17| 54| 723.8077930| 89|00:01:39|+0.07|0.21|0.8270| +|-| 1| 14| 54| 671.1224702| 101|00:01:40|-0.06|0.08|0.9614| +|=| 4| 14| 54| 652.1103297| 110|00:01:39|-0.02|0.09|0.9372| +|=| 7| 14| 54| 636.9166455| 119|00:01:40|-0.01|0.09|0.9261| +|=| 10| 14| 54| 690.4805148| 128|00:01:39|-0.03|0.07|0.9321| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 690.4805148 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 9 42 0.47773 81 88 67 28 57 41 + +# 2023-09-06 17:32:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 9 42 0.47773 81 88 67 28 57 +34 9 41 0.40515 32 77 79 29 40 +44 7 30 0.48964 97 79 54 7 58 +65 10 40 0.48385 45 84 86 19 44 +46 6 32 0.82386 76 77 0 14 38 +# 2023-09-06 17:32:10 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 33139.88, CPU sys time: 6.047, Wall-clock time: 4221.82 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 9 42 0.47773 81 88 67 28 57 +34 9 41 0.40515 32 77 79 29 40 +44 7 30 0.48964 97 79 54 7 58 +65 10 40 0.48385 45 84 86 19 44 +46 6 32 0.82386 76 77 0 14 38 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +54 -K9 -k42 -M0.47773 -Q81 -G88 -D67 -O28 -L57 +34 -K9 -k41 -M0.40515 -Q32 -G77 -D79 -O29 -L40 +44 -K7 -k30 -M0.48964 -Q97 -G79 -D54 -O7 -L58 +65 -K10 -k40 -M0.48385 -Q45 -G84 -D86 -O19 -L44 +46 -K6 -k32 -M0.82386 -Q76 -G77 -D0 -O14 -L38 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 17:32:10 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-20.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-20.txt new file mode 100644 index 000000000..686239c4f --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-20.txt @@ -0,0 +1,249 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 20:03:27 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1908640433 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 20:03:27 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1202.279691| 16|00:16:39| NA| NA| NA| +|x| 2| 16| 7| 851.8575560| 32|00:16:40|+0.51|0.76|0.5022| +|x| 3| 16| 7| 668.0363210| 48|00:16:47|+0.65|0.76|0.3592| +|x| 4| 16| 12| 625.8882408| 64|00:16:39|+0.58|0.68|0.3548| +|-| 5| 4| 12| 560.7383352| 80|00:16:50|+0.28|0.42|0.5509| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 560.7383352 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 7 13 0.1151 46 51 24 15 0 NA + +# 2023-09-08 21:27:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 7 13 0.11510 46 51 24 15 0 +14 7 29 0.85021 60 20 47 14 68 +7 6 5 0.58266 45 67 49 4 2 +1 5 7 0.42063 70 77 29 34 90 +# 2023-09-08 21:27:05 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 20| 1201.118340| 17|00:21:40| NA| NA| NA| +|x| 3| 17| 20| 750.7142030| 30|00:16:42|+0.41|0.71|0.5256| +|x| 4| 17| 20| 667.1807973| 43|00:16:40|+0.36|0.58|0.5229| +|x| 1| 17| 12| 805.9650337| 56|00:16:39|+0.38|0.54|0.6704| +|-| 5| 9| 12| 704.7997696| 69|00:16:43|-0.01|0.19|0.9344| +|=| 2| 9| 12| 670.6829277| 74|00:16:39|-0.02|0.15|0.9539| +|=| 7| 9| 12| 749.2323071| 83|00:16:39|-0.03|0.12|0.9338| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 749.2323071 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 7 13 0.1151 46 51 24 15 0 NA + +# 2023-09-08 23:28:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 7 13 0.11510 46 51 24 15 0 +17 7 32 0.99941 72 10 4 21 48 +25 10 21 0.17791 35 35 33 0 18 +7 6 5 0.58266 45 67 49 4 2 +27 7 23 0.33378 95 51 46 66 85 +# 2023-09-08 23:28:51 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 163 +# remainingBudget: 337 +# currentBudget: 112 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 41| 300.0404700| 18|00:26:44| NA| NA| NA| +|x| 5| 18| 25| 300.1014040| 31|00:16:45|+0.55|0.77|0.3688| +|x| 2| 18| 25| 366.7617553| 44|00:16:40|+0.44|0.63|0.4515| +|x| 7| 18| 41| 580.1947765| 57|00:16:39|+0.36|0.52|0.6110| +|-| 6| 13| 27| 706.4320542| 70|00:16:40|-0.11|0.11|0.9392| +|=| 1| 13| 40| 788.2414202| 78|00:16:39|-0.07|0.11|0.9696| +|=| 3| 13| 12| 720.7028766| 86|00:16:41|-0.06|0.09|0.9848| +|=| 4| 13| 12| 693.1218989| 94|00:16:39|-0.04|0.09|0.9695| +|=| 9| 13| 12| 671.6732518| 107|00:18:19|-0.03|0.09|0.9508| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 671.6732518 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 7 13 0.1151 46 51 24 15 0 NA + +# 2023-09-09 02:10:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 7 13 0.11510 46 51 24 15 0 +25 10 21 0.17791 35 35 33 0 18 +40 10 19 0.20052 18 28 28 9 41 +27 7 23 0.33378 95 51 46 66 85 +34 5 36 0.86265 64 5 18 7 38 +# 2023-09-09 02:10:42 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 270 +# remainingBudget: 230 +# currentBudget: 115 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 51| 500.0147110| 16|00:28:20| NA| NA| NA| +|x| 2| 16| 44| 500.0162005| 27|00:16:39|+0.74|0.87|0.1963| +|x| 1| 16| 44| 740.1627153| 38|00:16:39|+0.23|0.49|0.9203| +|x| 5| 16| 48| 630.1806840| 49|00:16:42|+0.22|0.42|0.7802| +|-| 8| 11| 44| 564.1751020| 60|00:16:44|-0.11|0.11|1.0458| +|=| 7| 11| 44| 670.7750757| 66|00:16:40|-0.03|0.14|0.9734| +|=| 4| 11| 40| 644.0064580| 72|00:16:39|-0.03|0.11|0.9453| +|=| 9| 11| 44| 628.0908146| 78|00:16:39|-0.02|0.11|0.9244| +|=| 6| 11| 44| 693.9010479| 84|00:16:40|-0.06|0.06|0.9692| +|=| 3| 11| 44| 654.5343770| 90|00:16:40|-0.06|0.05|0.9713| +|=| 11| 11| 44| 622.3243222| 101|00:16:44|-0.04|0.05|0.9569| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 622.3243222 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 7 22 0.22172 55 52 2 11 1 12 + +# 2023-09-09 05:25:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 7 22 0.22172 55 52 2 11 1 +53 10 24 0.14886 38 24 24 8 3 +48 8 25 0.49788 72 36 21 10 51 +47 9 15 0.16191 51 77 0 18 5 +12 7 13 0.11510 46 51 24 15 0 +# 2023-09-09 05:25:54 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 371 +# remainingBudget: 129 +# currentBudget: 129 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 59| 1200.085666| 15|00:26:40| NA| NA| NA| +|x| 11| 15| 48| 750.7184310| 25|00:16:45|-0.08|0.46|1.0947| +|x| 2| 15| 48| 667.1546557| 35|00:16:39|-0.06|0.29|1.0509| +|x| 6| 15| 48| 805.4708415| 45|00:16:39|+0.00|0.25|0.9763| +|=| 4| 15| 48| 744.3901336| 55|00:16:40|+0.00|0.20|0.9738| +|=| 1| 15| 48| 823.7293860| 65|00:16:40|+0.03|0.19|0.9608| +|=| 9| 15| 48| 777.4834949| 75|00:16:40|+0.02|0.16|0.9539| +|=| 7| 15| 48| 830.5592596| 85|00:16:40|+0.03|0.15|0.9621| +|=| 8| 15| 44| 771.8344627| 95|00:16:43|-0.01|0.10|0.9799| +|=| 5| 15| 48| 724.5722650| 105|00:16:43|+0.00|0.10|0.9534| +|=| 10| 15| 44| 704.2605546| 115|00:16:39|+0.01|0.10|0.9534| +|=| 3| 15| 44| 670.5917033| 125|00:16:44|+0.00|0.08|0.9471| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 670.5917033 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 7 22 0.22172 55 52 2 11 1 12 + +# 2023-09-09 08:56:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 7 22 0.22172 55 52 2 11 1 +48 8 25 0.49788 72 36 21 10 51 +53 10 24 0.14886 38 24 24 8 3 +59 10 13 0.28047 46 49 3 14 3 +55 8 9 0.16859 68 44 3 9 1 +# 2023-09-09 08:56:09 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 354186.2, CPU sys time: 21.947, Wall-clock time: 46361.83 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 7 22 0.22172 55 52 2 11 1 +48 8 25 0.49788 72 36 21 10 51 +53 10 24 0.14886 38 24 24 8 3 +59 10 13 0.28047 46 49 3 14 3 +55 8 9 0.16859 68 44 3 9 1 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +44 -K7 -k22 -M0.22172 -Q55 -G52 -D2 -O11 -L1 +48 -K8 -k25 -M0.49788 -Q72 -G36 -D21 -O10 -L51 +53 -K10 -k24 -M0.14886 -Q38 -G24 -D24 -O8 -L3 +59 -K10 -k13 -M0.28047 -Q46 -G49 -D3 -O14 -L3 +55 -K8 -k9 -M0.16859 -Q68 -G44 -D3 -O9 -L1 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 08:56:09 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-21.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-21.txt new file mode 100644 index 000000000..81d1d1a3c --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-21.txt @@ -0,0 +1,301 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 08:56:09 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1980433531 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 08:56:09 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 8| 300.0686100| 16|00:14:00| NA| NA| NA| +|x| 2| 16| 3| 757.1500495| 32|00:13:59|+0.46|0.73|0.5932| +|x| 3| 16| 13| 673.5532570| 48|00:14:00|+0.59|0.73|0.4649| +|x| 4| 16| 3| 808.4544500| 64|00:13:59|+0.36|0.52|0.7005| +|-| 5| 7| 8| 708.3533094| 80|00:14:02|+0.04|0.23|0.8385| +|=| 6| 7| 8| 673.6370158| 87|00:13:59|+0.12|0.27|0.7464| +|=| 7| 7| 3| 750.7126567| 94|00:13:59|+0.01|0.15|0.8654| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 3 mean value: 750.7126567 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +3 3 8 10 0.96714 27 78 60 44 89 NA + +# 2023-09-09 10:34:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +3 8 10 0.96714 27 78 60 44 89 +8 7 40 0.67882 63 5 43 12 81 +13 5 26 0.80254 86 80 0 4 24 +6 5 43 0.97276 91 5 39 74 11 +14 3 27 0.33994 82 19 37 56 82 +# 2023-09-09 10:34:12 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 27| 500.0809270| 17|00:22:45| NA| NA| NA| +|x| 2| 17| 25| 850.8794250| 29|00:17:29|+0.41|0.71|0.6682| +|x| 4| 17| 3| 977.8016360| 41|00:17:30|+0.20|0.47|0.8679| +|x| 5| 17| 3| 808.5086650| 53|00:17:33|+0.25|0.44|0.6968| +|-| 1| 14| 22| 704.7452632| 65|00:17:34|-0.06|0.16|0.8886| +|=| 6| 14| 22| 670.6246770| 74|00:17:30|+0.02|0.19|0.8198| +|=| 3| 14| 22| 646.2643394| 83|00:17:29|+0.00|0.15|0.8490| +|=| 7| 14| 22| 718.2050764| 92|00:17:30|+0.01|0.13|0.8607| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 718.2050764 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 10 44 0.60199 67 4 65 58 41 6 + +# 2023-09-09 12:59:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 10 44 0.60199 67 4 65 58 41 +8 7 40 0.67882 63 5 43 12 81 +25 5 34 0.64702 70 27 25 7 5 +3 8 10 0.96714 27 78 60 44 89 +13 5 26 0.80254 86 80 0 4 24 +# 2023-09-09 12:59:35 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 186 +# remainingBudget: 314 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 32| 300.0526980| 16|00:24:40| NA| NA| NA| +|x| 3| 16| 29| 400.0761965| 27|00:17:29|+0.62|0.81|0.4479| +|x| 4| 16| 29| 673.6848210| 38|00:17:29|+0.28|0.52|0.7613| +|x| 1| 16| 8| 580.2574718| 49|00:17:30|+0.16|0.37|0.7390| +|-| 6| 11| 8| 564.2170870| 60|00:17:30|-0.02|0.18|0.9580| +|=| 2| 11| 8| 673.6540982| 66|00:17:29|-0.06|0.12|0.9943| +|=| 8| 11| 32| 648.9819361| 72|00:17:30|-0.07|0.08|1.0012| +|=| 5| 11| 8| 605.2832455| 78|00:17:29|-0.03|0.10|0.9646| +|=| 7| 11| 8| 673.7638506| 84|00:17:29|-0.03|0.09|0.9419| +|=| 10| 11| 8| 728.4261784| 95|00:17:30|-0.04|0.07|0.9077| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 728.4261784 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 7 40 0.67882 63 5 43 12 81 NA + +# 2023-09-09 16:01:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 7 40 0.67882 63 5 43 12 81 +29 9 32 0.21735 88 13 68 44 76 +25 5 34 0.64702 70 27 25 7 5 +32 9 31 0.17054 84 20 54 3 18 +3 8 10 0.96714 27 78 60 44 89 +# 2023-09-09 16:01:46 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 281 +# remainingBudget: 219 +# currentBudget: 109 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 32| 500.0229610| 14|00:19:14| NA| NA| NA| +|x| 3| 14| 32| 500.0383975| 23|00:17:30|+0.19|0.59|0.7727| +|x| 1| 14| 8| 433.4017703| 32|00:17:32|+0.32|0.55|0.7700| +|x| 7| 14| 41| 628.0738607| 41|00:17:29|+0.11|0.33|0.8761| +|=| 6| 14| 41| 602.4724266| 50|00:17:30|+0.15|0.32|0.7680| +|-| 9| 11| 32| 553.6983523| 59|00:17:32|+0.04|0.20|0.9289| +|=| 2| 11| 41| 647.5805029| 65|00:17:29|-0.05|0.10|0.9514| +|=| 8| 11| 32| 630.4880665| 71|00:17:30|-0.04|0.09|0.9426| +|=| 5| 11| 41| 592.5721557| 77|00:17:29|-0.01|0.10|0.9265| +|=| 10| 11| 41| 655.6525641| 83|00:17:29|-0.05|0.06|0.9308| +|=| 4| 11| 41| 705.2893909| 89|00:17:29|-0.03|0.07|0.9165| +|=| 12| 11| 41| 671.5266869| 100|00:17:38|-0.01|0.07|0.8957| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 671.5266869 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 7 11 0.32169 89 5 93 27 73 29 + +# 2023-09-09 19:33:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 7 11 0.32169 89 5 93 27 73 +32 9 31 0.17054 84 20 54 3 18 +8 7 40 0.67882 63 5 43 12 81 +44 8 29 0.17363 82 25 95 8 72 +43 8 12 0.88135 53 68 21 72 97 +# 2023-09-09 19:33:44 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 381 +# remainingBudget: 119 +# currentBudget: 119 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 55| 500.0405890| 13|00:17:29| NA| NA| NA| +|x| 2| 13| 43| 850.3705430| 21|00:15:45|-0.14|0.43|1.1707| +|x| 8| 13| 41| 740.2322277| 29|00:15:44|+0.02|0.35|0.9764| +|x| 10| 13| 43| 850.6394922| 37|00:15:45|+0.03|0.27|0.9032| +|=| 7| 13| 43| 924.7144906| 45|00:15:44|+0.11|0.29|0.8837| +|=| 9| 13| 43| 820.6136447| 53|00:15:44|+0.10|0.25|0.8748| +|-| 1| 9| 43| 746.2543984| 61|00:15:45|-0.02|0.12|0.8778| +|=| 6| 9| 41| 719.5480160| 65|00:15:44|-0.05|0.08|0.9152| +|=| 5| 9| 41| 672.9389063| 69|00:15:45|-0.06|0.06|0.9224| +|=| 12| 9| 41| 635.6587100| 73|00:15:44|-0.05|0.06|0.9006| +|=| 3| 9| 41| 623.3357879| 77|00:15:45|-0.05|0.05|0.9138| +|=| 4| 9| 41| 671.5292772| 81|00:15:45|-0.03|0.06|0.8927| +|=| 11| 9| 41| 658.3392929| 85|00:15:44|-0.02|0.06|0.8867| +|=| 14| 9| 41| 698.5008540| 94|00:15:45|-0.01|0.06|0.8822| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 698.5008540 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 7 11 0.32169 89 5 93 27 73 29 + +# 2023-09-09 23:15:59 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 7 11 0.32169 89 5 93 27 73 +32 9 31 0.17054 84 20 54 3 18 +50 8 32 0.68858 76 3 37 2 88 +44 8 29 0.17363 82 25 95 8 72 +49 9 31 0.17776 78 26 70 0 22 +# 2023-09-09 23:15:59 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 475 +# remainingBudget: 25 +# currentBudget: 25 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 6| 49| 300.0334300| 6|00:17:29| NA| NA| NA| +|x| 7| 6| 44| 760.2040860| 7|00:17:30|-0.49|0.26|1.0703| +|x| 9| 6| 44| 606.8248920| 8|00:17:30|-0.09|0.28|0.6935| +|x| 12| 6| 32| 530.5178370| 9|00:17:29|-0.17|0.12|0.7612| +|=| 2| 6| 41| 666.6147820| 10|00:17:30|-0.10|0.12|0.8911| +|=| 4| 6| 41| 755.7885948| 11|00:17:29|-0.09|0.09|0.8752| +|=| 14| 6| 41| 822.1903881| 12|00:17:29|-0.03|0.12|0.8439| +|=| 3| 6| 49| 780.3615639| 13|00:17:30|-0.07|0.07|0.8822| +|=| 6| 6| 32| 752.1592800| 14|00:17:30|-0.06|0.06|0.8616| +|=| 5| 6| 49| 704.3015841| 15|00:17:30|-0.05|0.05|0.8845| +|=| 13| 6| 41| 686.8784153| 16|00:17:29|-0.07|0.03|0.8897| +|=| 1| 6| 41| 654.6451011| 17|00:17:29|-0.05|0.04|0.8663| +|=| 8| 6| 41| 642.7508512| 18|00:17:30|-0.03|0.05|0.8627| +|=| 11| 6| 41| 632.5586105| 19|00:17:29|-0.03|0.04|0.8558| +|=| 10| 6| 32| 672.7411462| 20|00:17:30|-0.03|0.04|0.8506| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 672.7411462 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 31 0.17054 84 20 54 3 18 25 + +# 2023-09-10 03:38:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 31 0.17054 84 20 54 3 18 +41 7 11 0.32169 89 5 93 27 73 +57 10 29 0.58914 41 23 59 19 84 +49 9 31 0.17776 78 26 70 0 22 +44 8 29 0.17363 82 25 95 8 72 +# 2023-09-10 03:38:29 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 340978.9, CPU sys time: 18.866, Wall-clock time: 67339.71 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 31 0.17054 84 20 54 3 18 +41 7 11 0.32169 89 5 93 27 73 +57 10 29 0.58914 41 23 59 19 84 +49 9 31 0.17776 78 26 70 0 22 +44 8 29 0.17363 82 25 95 8 72 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +32 -K9 -k31 -M0.17054 -Q84 -G20 -D54 -O3 -L18 +41 -K7 -k11 -M0.32169 -Q89 -G5 -D93 -O27 -L73 +57 -K10 -k29 -M0.58914 -Q41 -G23 -D59 -O19 -L84 +49 -K9 -k31 -M0.17776 -Q78 -G26 -D70 -O0 -L22 +44 -K8 -k29 -M0.17363 -Q82 -G25 -D95 -O8 -L72 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 03:38:29 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-22.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-22.txt new file mode 100644 index 000000000..94ed33cb5 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-22.txt @@ -0,0 +1,302 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-10 03:38:29 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1789456355 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-10 03:38:29 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 300.0901100| 16|00:22:02| NA| NA| NA| +|x| 2| 16| 6| 755.7910680| 32|00:21:59|+0.61|0.80|0.6887| +|x| 3| 16| 1| 667.8253187| 48|00:22:00|+0.44|0.63|0.6242| +|x| 4| 16| 14| 630.5203170| 64|00:21:59|+0.30|0.48|0.7554| +|-| 5| 8| 4| 564.2645924| 80|00:22:04|+0.02|0.22|0.9038| +|=| 6| 8| 4| 673.7240153| 88|00:14:39|+0.03|0.19|0.8628| +|=| 7| 8| 4| 751.8708404| 96|00:14:39|-0.00|0.14|0.9026| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 751.8708404 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 8 8 0.17203 13 58 31 52 13 NA + +# 2023-09-10 05:57:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 8 8 0.17203 13 58 31 52 13 +15 7 46 0.43189 20 60 50 1 71 +9 5 7 0.62402 89 79 43 70 23 +1 4 15 0.10590 91 2 0 11 88 +14 8 23 0.68833 15 4 11 94 57 +# 2023-09-10 05:57:56 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0031630| 17|00:27:30| NA| NA| NA| +|x| 4| 17| 28| 500.0179580| 29|00:18:20|+0.52|0.76|0.5640| +|x| 1| 17| 24| 433.4779327| 41|00:18:24|+0.21|0.48|0.6783| +|x| 5| 17| 24| 400.2176108| 53|00:18:26|+0.20|0.40|0.6655| +|-| 7| 13| 24| 564.2174674| 65|00:18:20|-0.09|0.13|0.9833| +|=| 6| 13| 24| 673.3077320| 73|00:18:19|-0.04|0.13|0.9893| +|=| 3| 13| 28| 648.4922753| 81|00:18:20|-0.09|0.07|0.9851| +|=| 2| 13| 24| 720.0562149| 89|00:18:19|-0.08|0.06|0.9886| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 720.0562149 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 9 29 0.16056 27 58 7 37 34 4 + +# 2023-09-10 08:33:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 9 29 0.16056 27 58 7 37 34 +28 9 27 0.20927 47 44 51 86 91 +15 7 46 0.43189 20 60 50 1 71 +22 10 12 0.50984 55 39 7 34 54 +17 8 12 0.42692 64 44 85 48 87 +# 2023-09-10 08:33:57 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 39| 300.0594990| 16|00:31:14| NA| NA| NA| +|x| 8| 16| 24| 400.0652110| 27|00:18:20|+0.16|0.58|0.9150| +|x| 4| 16| 24| 433.3917207| 38|00:18:19|+0.27|0.51|0.7553| +|x| 5| 16| 24| 400.1529517| 49|00:18:25|+0.17|0.37|0.7857| +|-| 6| 11| 24| 563.8741724| 60|00:18:19|-0.01|0.19|0.9744| +|=| 1| 11| 24| 519.9535228| 66|00:18:20|+0.01|0.17|0.9893| +|=| 7| 11| 24| 619.9911473| 72|00:18:19|+0.07|0.20|0.9368| +|=| 2| 11| 35| 690.5085204| 78|00:18:19|+0.01|0.13|0.9519| +|=| 3| 11| 35| 669.3430109| 84|00:18:20|+0.00|0.11|0.9431| +|=| 10| 11| 35| 632.4141999| 95|00:18:27|+0.02|0.12|0.9408| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 632.4141999 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 10 39 0.31134 41 49 27 25 2 24 + +# 2023-09-10 11:50:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 10 39 0.31134 41 49 27 25 2 +39 10 33 0.11096 46 20 18 19 50 +24 9 29 0.16056 27 58 7 37 34 +28 9 27 0.20927 47 44 51 86 91 +36 9 42 0.20822 33 95 50 32 26 +# 2023-09-10 11:50:23 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 280 +# remainingBudget: 220 +# currentBudget: 110 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 42| 1200.622067| 14|00:31:09| NA| NA| NA| +|x| 3| 14| 35| 850.5349895| 23|00:18:20|+0.10|0.55|1.0084| +|x| 9| 14| 35| 667.0587533| 32|00:18:20|+0.02|0.35|0.8681| +|x| 6| 14| 42| 800.2832625| 41|00:18:19|+0.02|0.26|0.9072| +|=| 8| 14| 42| 740.2385302| 50|00:18:20|+0.04|0.23|0.9267| +|=| 1| 14| 42| 666.9503640| 59|00:18:20|+0.11|0.26|0.8879| +|-| 5| 8| 42| 614.5353321| 68|00:18:20|-0.00|0.14|0.8465| +|=| 2| 8| 42| 688.0161168| 71|00:16:30|+0.05|0.17|0.7922| +|=| 10| 8| 42| 644.9225880| 74|00:16:30|+0.04|0.15|0.7969| +|=| 7| 8| 42| 700.6667713| 77|00:16:29|+0.08|0.17|0.7583| +|=| 4| 8| 42| 682.4256132| 80|00:16:30|+0.06|0.15|0.7966| +|=| 12| 8| 42| 667.2269959| 88|00:18:20|+0.07|0.15|0.8001| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 667.2269959 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 8 43 0.11494 76 45 4 11 63 39 + +# 2023-09-10 15:35:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 8 43 0.11494 76 45 4 11 63 +35 10 39 0.31134 41 49 27 25 2 +45 9 44 0.31338 45 38 56 33 45 +43 9 36 0.67188 26 51 13 27 6 +24 9 29 0.16056 27 58 7 37 34 +# 2023-09-10 15:35:53 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 368 +# remainingBudget: 132 +# currentBudget: 132 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 49| 500.0120270| 14|00:29:19| NA| NA| NA| +|x| 4| 14| 53| 500.0526715| 23|00:18:19|+0.01|0.51|1.2015| +|x| 10| 14| 35| 433.3936807| 32|00:18:20|+0.23|0.49|0.8632| +|x| 3| 14| 35| 450.0499942| 41|00:18:19|+0.10|0.32|0.9268| +|=| 11| 14| 35| 600.2502042| 50|00:18:19|+0.12|0.29|0.8983| +|=| 5| 14| 35| 550.2615968| 59|00:18:20|+0.10|0.25|0.8568| +|-| 2| 9| 35| 643.2614557| 68|00:18:19|+0.06|0.19|0.9021| +|=| 12| 9| 42| 625.4350476| 72|00:18:19|+0.02|0.14|0.9178| +|=| 6| 9| 42| 689.3000616| 76|00:18:20|+0.00|0.12|0.8950| +|=| 1| 9| 42| 650.4210087| 80|00:18:20|-0.01|0.10|0.8913| +|=| 9| 9| 42| 618.5818678| 84|00:18:20|-0.03|0.07|0.8878| +|=| 8| 9| 42| 608.7050122| 88|00:18:19|-0.01|0.07|0.8766| +|=| 7| 9| 42| 654.3711206| 92|00:18:19|+0.01|0.08|0.8568| +|=| 14| 9| 42| 629.1223826| 101|00:18:24|-0.02|0.06|0.8898| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 629.1223826 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 8 43 0.11494 76 45 4 11 63 39 + +# 2023-09-10 20:03:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 8 43 0.11494 76 45 4 11 63 +35 10 39 0.31134 41 49 27 25 2 +56 10 19 0.25278 49 64 16 55 45 +24 9 29 0.16056 27 58 7 37 34 +57 9 46 0.14124 87 32 42 4 74 +# 2023-09-10 20:03:37 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 469 +# remainingBudget: 31 +# currentBudget: 31 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 6| 24| 1202.837103| 6|00:18:19| NA| NA| NA| +|x| 8| 6| 24| 851.4379430| 7|00:14:39|+0.43|0.71|0.1623| +|x| 10| 6| 24| 667.6756523| 8|00:14:40|-0.12|0.25|0.9583| +|x| 13| 6| 58| 626.5724260| 9|00:14:39|-0.06|0.21|0.9301| +|=| 7| 6| 35| 744.3111254| 10|00:14:39|-0.05|0.16|0.9682| +|=| 14| 6| 24| 670.6010602| 11|00:14:40|-0.08|0.10|0.9306| +|=| 3| 6| 58| 646.7564784| 12|00:14:39|-0.05|0.10|0.8973| +|=| 11| 6| 35| 715.3770439| 13|00:14:39|-0.06|0.08|0.8978| +|=| 6| 6| 35| 771.5135063| 14|00:14:39|-0.06|0.06|0.9061| +|=| 5| 6| 35| 724.3940117| 15|00:14:40|-0.08|0.03|0.8948| +|=| 9| 6| 35| 685.8223998| 16|00:14:39|-0.05|0.05|0.8625| +|=| 1| 6| 24| 653.9885434| 17|00:14:39|-0.05|0.04|0.8558| +|=| 2| 6| 35| 695.8400990| 18|00:14:40|-0.03|0.05|0.8489| +|=| 12| 6| 35| 681.8591503| 19|00:14:39|-0.03|0.05|0.8394| +|=| 4| 6| 35| 669.7418595| 20|00:14:39|-0.02|0.05|0.8288| +|=| 16| 6| 35| 702.8958061| 26|00:18:20|-0.01|0.05|0.8242| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 702.8958061 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 10 39 0.31134 41 49 27 25 2 24 + +# 2023-09-11 00:05:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 10 39 0.31134 41 49 27 25 2 +24 9 29 0.16056 27 58 7 37 34 +42 8 43 0.11494 76 45 4 11 63 +56 10 19 0.25278 49 64 16 55 45 +57 9 46 0.14124 87 32 42 4 74 +# 2023-09-11 00:05:37 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 421951.9, CPU sys time: 23.887, Wall-clock time: 73627.88 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 10 39 0.31134 41 49 27 25 2 +24 9 29 0.16056 27 58 7 37 34 +42 8 43 0.11494 76 45 4 11 63 +56 10 19 0.25278 49 64 16 55 45 +57 9 46 0.14124 87 32 42 4 74 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +35 -K10 -k39 -M0.31134 -Q41 -G49 -D27 -O25 -L2 +24 -K9 -k29 -M0.16056 -Q27 -G58 -D7 -O37 -L34 +42 -K8 -k43 -M0.11494 -Q76 -G45 -D4 -O11 -L63 +56 -K10 -k19 -M0.25278 -Q49 -G64 -D16 -O55 -L45 +57 -K9 -k46 -M0.14124 -Q87 -G32 -D42 -O4 -L74 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-11 00:05:37 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-23.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-23.txt new file mode 100644 index 000000000..ef7b111d7 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-23.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:30:50 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1795810304 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:30:50 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 300.1293030| 16|00:19:10| NA| NA| NA| +|x| 2| 16| 3| 760.2262060| 32|00:19:09|+0.16|0.58|0.8025| +|x| 3| 16| 3| 673.5088970| 48|00:19:09|+0.43|0.62|0.5531| +|x| 4| 16| 13| 575.8803530| 64|00:19:16|+0.46|0.59|0.4968| +|-| 5| 6| 9| 564.2237368| 80|00:19:10|+0.07|0.25|0.6969| +|=| 6| 6| 3| 671.8559117| 86|00:19:09|-0.00|0.17|0.8534| +|=| 7| 6| 9| 649.0352297| 92|00:19:10|+0.04|0.18|0.8400| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 649.0352297 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 16 0.98975 81 44 12 67 16 NA + +# 2023-09-06 18:45:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 16 0.98975 81 44 12 67 16 +13 9 19 0.94852 89 100 47 28 72 +3 7 29 0.36105 53 38 89 96 21 +10 5 3 0.99642 62 97 15 49 95 +16 5 38 0.83288 44 18 100 22 23 +# 2023-09-06 18:45:08 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 22| 300.1092720| 17|00:28:48| NA| NA| NA| +|x| 4| 17| 13| 300.1141530| 29|00:19:12|+0.62|0.81|0.1928| +|x| 1| 17| 9| 300.1682647| 41|00:19:11|+0.35|0.57|0.4545| +|x| 6| 17| 18| 530.0395927| 53|00:19:10|+0.22|0.41|0.7579| +|-| 5| 13| 25| 524.4998210| 65|00:19:09|-0.08|0.14|1.0236| +|=| 7| 13| 25| 520.4261217| 73|00:19:09|-0.05|0.13|0.9799| +|=| 2| 13| 13| 617.9341816| 81|00:19:09|-0.03|0.11|0.9489| +|=| 3| 13| 13| 603.1954189| 89|00:19:10|+0.00|0.13|0.9171| +|=| 9| 13| 13| 671.7432561| 102|00:28:44|+0.04|0.14|0.8907| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 671.7432561 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 9 19 0.94852 89 100 47 28 72 NA + +# 2023-09-06 21:56:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 9 19 0.94852 89 100 47 28 72 +9 10 16 0.98975 81 44 12 67 16 +24 7 42 0.65091 81 66 4 36 59 +26 10 8 0.70497 83 56 75 37 37 +17 8 30 0.96028 87 43 19 87 25 +# 2023-09-06 21:56:55 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 194 +# remainingBudget: 306 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 300.1645980| 14|00:26:51| NA| NA| NA| +|x| 8| 14| 9| 300.2017670| 23|00:19:10|-0.06|0.47|0.8927| +|x| 9| 14| 9| 601.0311953| 32|00:19:09|-0.01|0.33|0.8582| +|x| 1| 14| 9| 525.8319422| 41|00:19:10|-0.01|0.24|0.8609| +|=| 5| 14| 37| 524.2613862| 50|00:19:10|-0.00|0.20|0.9023| +|=| 7| 14| 9| 517.2393587| 59|00:19:09|+0.02|0.19|0.8891| +|=| 2| 14| 9| 617.7380663| 68|00:19:10|-0.01|0.13|0.9430| +|=| 6| 14| 9| 693.2821815| 77|00:19:09|-0.05|0.08|0.9516| +|=| 3| 14| 31| 669.3014146| 86|00:19:10|-0.00|0.11|0.9066| +|=| 4| 14| 9| 634.6340194| 95|00:19:10|+0.02|0.12|0.8848| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 634.6340194 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 16 0.98975 81 44 12 67 16 NA + +# 2023-09-07 01:16:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 16 0.98975 81 44 12 67 16 +13 9 19 0.94852 89 100 47 28 72 +29 9 32 0.87588 59 95 7 6 94 +30 10 15 0.55127 89 98 51 29 93 +31 9 28 0.69767 75 92 54 22 35 +# 2023-09-07 01:16:16 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 289 +# remainingBudget: 211 +# currentBudget: 105 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 45| 500.0118160| 14|00:32:34| NA| NA| NA| +|x| 1| 14| 40| 400.0747040| 23|00:19:10|+0.32|0.66|0.6947| +|x| 4| 14| 40| 366.7488457| 32|00:19:10|+0.05|0.37|0.8020| +|x| 10| 14| 41| 350.1047067| 41|00:19:10|+0.05|0.29|0.8843| +|=| 6| 14| 41| 520.1827856| 50|00:19:10|+0.02|0.22|0.8968| +|=| 9| 14| 38| 633.8318828| 59|00:19:09|-0.01|0.16|0.8720| +|=| 7| 14| 41| 617.4227207| 68|00:19:09|-0.04|0.11|0.9172| +|=| 2| 14| 9| 693.2644799| 77|00:19:10|-0.06|0.08|0.9498| +|=| 3| 14| 9| 671.7928263| 86|00:19:10|-0.03|0.08|0.9430| +|=| 8| 14| 9| 634.6342904| 95|00:19:11|-0.03|0.07|0.9578| +|=| 5| 14| 9| 622.4013046| 104|00:19:09|-0.02|0.07|0.9553| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 622.4013046 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 10 16 0.98975 81 44 12 67 16 NA + +# 2023-09-07 05:00:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 10 16 0.98975 81 44 12 67 16 +43 10 6 0.82020 48 52 8 62 44 +45 7 26 0.94037 93 59 19 71 24 +30 10 15 0.55127 89 98 51 29 93 +38 10 10 0.99262 71 63 7 66 19 +# 2023-09-07 05:00:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 393 +# remainingBudget: 107 +# currentBudget: 107 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 50| 1201.650635| 13|00:30:39| NA| NA| NA| +|x| 8| 13| 50| 750.8982515| 21|00:19:10|-0.32|0.34|1.5123| +|x| 2| 13| 30| 907.3389530| 29|00:19:09|-0.09|0.27|1.1443| +|x| 5| 13| 30| 805.5159292| 37|00:19:09|-0.11|0.16|1.0614| +|=| 4| 13| 30| 704.4235658| 45|00:19:10|-0.01|0.19|0.9656| +|=| 10| 13| 30| 637.1996592| 53|00:19:10|-0.03|0.14|1.0031| +|=| 11| 13| 30| 617.6133033| 61|00:19:10|-0.04|0.11|0.9491| +|=| 7| 13| 54| 602.7121035| 69|00:19:09|-0.04|0.09|0.9313| +|=| 9| 13| 54| 669.1268307| 77|00:19:09|+0.00|0.11|0.9130| +|=| 1| 13| 54| 632.2306435| 85|00:19:09|+0.01|0.11|0.9135| +|=| 6| 13| 54| 683.9911269| 93|00:19:10|+0.02|0.11|0.9061| +|=| 3| 13| 54| 668.6647314| 101|00:19:09|-0.01|0.08|0.9287| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 668.6647314 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 9 20 0.96251 99 27 11 28 18 9 + +# 2023-09-07 09:02:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 9 20 0.96251 99 27 11 28 18 +30 10 15 0.55127 89 98 51 29 93 +51 10 7 0.96494 56 79 8 42 79 +38 10 10 0.99262 71 63 7 66 19 +45 7 26 0.94037 93 59 19 71 24 +# 2023-09-07 09:02:04 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 438252.3, CPU sys time: 20.267, Wall-clock time: 59473.97 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 9 20 0.96251 99 27 11 28 18 +30 10 15 0.55127 89 98 51 29 93 +51 10 7 0.96494 56 79 8 42 79 +38 10 10 0.99262 71 63 7 66 19 +45 7 26 0.94037 93 59 19 71 24 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +54 -K9 -k20 -M0.96251 -Q99 -G27 -D11 -O28 -L18 +30 -K10 -k15 -M0.55127 -Q89 -G98 -D51 -O29 -L93 +51 -K10 -k7 -M0.96494 -Q56 -G79 -D8 -O42 -L79 +38 -K10 -k10 -M0.99262 -Q71 -G63 -D7 -O66 -L19 +45 -K7 -k26 -M0.94037 -Q93 -G59 -D19 -O71 -L24 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 09:02:04 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-24.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-24.txt new file mode 100644 index 000000000..0a4987414 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-24.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 09:02:04 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2044994389 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 09:02:04 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 12| 1200.525448| 16|00:19:59| NA| NA| NA| +|x| 2| 16| 12| 850.2894535| 32|00:20:00|+0.45|0.73|0.6957| +|x| 3| 16| 14| 673.7098470| 48|00:20:04|+0.45|0.63|0.6383| +|x| 4| 16| 12| 575.4901380| 64|00:20:02|+0.51|0.63|0.5526| +|-| 5| 6| 8| 564.2472264| 80|00:19:59|-0.01|0.20|0.9646| +|=| 6| 6| 12| 670.4214327| 86|00:19:59|-0.02|0.15|0.9312| +|=| 7| 6| 8| 751.8037043| 92|00:20:00|-0.06|0.09|0.9565| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 751.8037043 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 8 4 0.20582 57 81 1 72 26 NA + +# 2023-09-07 11:22:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 8 4 0.20582 57 81 1 72 26 +12 8 32 0.40958 87 99 55 99 73 +10 7 37 0.89288 67 76 44 61 37 +14 7 31 0.15006 41 9 81 34 32 +4 10 44 0.73933 25 9 99 16 72 +# 2023-09-07 11:22:10 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 27| 500.0151230| 17|00:27:59| NA| NA| NA| +|x| 7| 17| 23| 850.4079530| 29|00:20:00|+0.32|0.66|0.6485| +|x| 2| 17| 24| 733.5532457| 41|00:19:59|+0.08|0.39|0.9023| +|x| 6| 17| 8| 860.3708225| 53|00:19:59|+0.08|0.31|0.9128| +|=| 5| 17| 8| 788.3068870| 65|00:20:00|-0.03|0.17|1.0115| +|=| 4| 17| 8| 706.9454513| 77|00:20:03|+0.02|0.18|0.9170| +|=| 3| 17| 8| 648.9066471| 89|00:20:01|+0.02|0.16|0.8866| +|=| 1| 17| 8| 720.3363867| 101|00:20:00|+0.05|0.17|0.8847| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 720.3363867 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 8 4 0.20582 57 81 1 72 26 NA + +# 2023-09-07 14:10:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 8 4 0.20582 57 81 1 72 26 +21 10 17 0.46965 47 64 30 13 31 +24 7 7 0.10386 63 70 9 70 7 +23 10 31 0.97831 36 62 67 14 99 +19 9 32 0.34476 41 56 69 84 35 +# 2023-09-07 14:10:15 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 34| 300.0781220| 15|00:32:01| NA| NA| NA| +|x| 2| 15| 19| 400.0795760| 25|00:19:59|+0.32|0.66|0.6875| +|x| 6| 15| 34| 670.3061407| 35|00:20:00|-0.09|0.28|1.0695| +|x| 8| 15| 34| 627.7408835| 45|00:19:59|-0.07|0.20|0.9646| +|=| 4| 15| 33| 561.9616002| 55|00:20:00|-0.02|0.18|0.9259| +|=| 1| 15| 34| 668.8694835| 65|00:20:00|+0.02|0.18|0.8776| +|=| 5| 15| 34| 644.7516316| 75|00:19:59|+0.09|0.22|0.8256| +|=| 7| 15| 33| 718.3641082| 85|00:20:00|+0.07|0.19|0.8539| +|=| 3| 15| 34| 670.4937130| 95|00:20:01|+0.07|0.18|0.8340| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 670.4937130 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 9 11 0.18239 92 64 17 66 44 24 + +# 2023-09-07 17:22:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 9 11 0.18239 92 64 17 66 44 +8 8 4 0.20582 57 81 1 72 26 +33 7 2 0.21990 46 78 20 57 37 +21 10 17 0.46965 47 64 30 13 31 +24 7 7 0.10386 63 70 9 70 7 +# 2023-09-07 17:22:19 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 48| 300.0243620| 15|00:28:05| NA| NA| NA| +|x| 4| 15| 42| 300.0596165| 25|00:20:01|-0.06|0.47|0.5190| +|x| 8| 15| 33| 366.8288187| 35|00:20:00|+0.11|0.41|0.4150| +|x| 5| 15| 33| 400.1288632| 45|00:20:00|+0.20|0.40|0.4216| +|=| 7| 15| 33| 563.2500920| 55|00:19:59|+0.13|0.30|0.6064| +|=| 1| 15| 48| 667.7290928| 65|00:19:59|+0.11|0.26|0.6818| +|-| 2| 13| 48| 643.7758737| 75|00:19:59|-0.11|0.05|0.9749| +|=| 3| 13| 48| 600.8274088| 83|00:20:00|-0.07|0.06|0.9388| +|=| 9| 13| 46| 569.3275216| 91|00:19:59|-0.05|0.07|0.9496| +|=| 6| 13| 46| 633.0673294| 99|00:19:59|-0.03|0.08|0.9383| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 633.0673294 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +46 46 9 11 0.17212 89 63 16 98 1 8 + +# 2023-09-07 20:50:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +46 9 11 0.17212 89 63 16 98 1 +34 9 11 0.18239 92 64 17 66 44 +40 6 3 0.31448 93 100 6 57 38 +48 8 21 0.16271 53 75 40 86 27 +44 7 18 0.21055 66 47 17 75 3 +# 2023-09-07 20:50:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 54| 1220.373539| 14|00:31:59| NA| NA| NA| +|x| 8| 14| 54| 860.2004970| 23|00:19:59|+0.03|0.51|0.9914| +|x| 3| 14| 54| 673.4926320| 32|00:20:00|+0.14|0.43|0.8657| +|x| 1| 14| 44| 805.4211118| 41|00:19:59|+0.00|0.25|0.8706| +|=| 10| 14| 54| 708.2301726| 50|00:20:00|-0.00|0.20|0.9059| +|=| 4| 14| 44| 637.0918333| 59|00:19:59|-0.05|0.12|0.9500| +|=| 6| 14| 50| 717.4717911| 68|00:20:00|+0.00|0.14|0.8968| +|=| 7| 14| 50| 780.3365323| 77|00:20:00|-0.04|0.09|0.9347| +|=| 2| 14| 50| 749.1897399| 86|00:20:00|+0.01|0.12|0.9006| +|=| 5| 14| 50| 724.2801569| 95|00:19:59|-0.03|0.07|0.9439| +|=| 9| 14| 50| 685.7137503| 104|00:20:00|-0.01|0.08|0.9452| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 685.7137503 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 9 11 0.1571 87 68 0 21 53 34 + +# 2023-09-08 00:42:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 11 0.15710 87 68 0 21 53 +46 9 11 0.17212 89 63 16 98 1 +44 7 18 0.21055 66 47 17 75 3 +34 9 11 0.18239 92 64 17 66 44 +52 7 4 0.40034 92 76 20 48 51 +# 2023-09-08 00:42:26 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 429322.1, CPU sys time: 22.696, Wall-clock time: 56421.85 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 9 11 0.15710 87 68 0 21 53 +46 9 11 0.17212 89 63 16 98 1 +44 7 18 0.21055 66 47 17 75 3 +34 9 11 0.18239 92 64 17 66 44 +52 7 4 0.40034 92 76 20 48 51 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K9 -k11 -M0.1571 -Q87 -G68 -D0 -O21 -L53 +46 -K9 -k11 -M0.17212 -Q89 -G63 -D16 -O98 -L1 +44 -K7 -k18 -M0.21055 -Q66 -G47 -D17 -O75 -L3 +34 -K9 -k11 -M0.18239 -Q92 -G64 -D17 -O66 -L44 +52 -K7 -k4 -M0.40034 -Q92 -G76 -D20 -O48 -L51 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 00:42:26 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-25.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-25.txt new file mode 100644 index 000000000..9d68bd5f8 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-25.txt @@ -0,0 +1,245 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 00:42:26 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 153916093 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 00:42:26 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 300.1576630| 16|00:24:59| NA| NA| NA| +|x| 2| 16| 14| 400.1954265| 32|00:25:00|+0.80|0.90|0.2513| +|x| 3| 16| 14| 668.3952467| 48|00:24:59|+0.66|0.77|0.4722| +|x| 4| 16| 5| 625.6508095| 64|00:25:00|+0.64|0.73|0.3949| +|-| 5| 5| 14| 741.2993384| 80|00:24:59|-0.12|0.10|0.8835| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 741.2993384 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 9 42 0.14413 84 13 34 71 51 NA + +# 2023-09-08 02:47:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 9 42 0.14413 84 13 34 71 51 +5 8 10 0.82343 50 21 0 78 34 +6 5 29 0.30828 42 25 58 50 8 +16 9 35 0.29419 62 83 70 5 76 +1 8 13 0.71982 27 26 8 19 35 +# 2023-09-08 02:47:26 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 28| 300.0894850| 18|00:37:30| NA| NA| NA| +|x| 1| 18| 19| 300.1112420| 31|00:25:04|+0.09|0.54|0.8188| +|x| 3| 18| 28| 600.8001390| 44|00:24:59|+0.16|0.44|0.8335| +|x| 4| 18| 16| 580.3554625| 57|00:25:00|+0.14|0.35|0.8350| +|-| 2| 13| 14| 561.1502574| 70|00:25:00|-0.00|0.20|0.9239| +|=| 5| 13| 14| 667.8150760| 78|00:20:50|+0.03|0.19|0.8996| +|=| 7| 13| 14| 746.8205176| 91|00:29:10|+0.05|0.18|0.8894| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 746.8205176 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 9 42 0.14413 84 13 34 71 51 NA + +# 2023-09-08 05:55:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 9 42 0.14413 84 13 34 71 51 +28 8 8 0.78071 72 15 7 79 41 +29 10 42 0.19386 59 94 42 76 23 +19 8 12 0.47071 37 50 59 2 37 +5 8 10 0.82343 50 21 0 78 34 +# 2023-09-08 05:55:01 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 171 +# remainingBudget: 329 +# currentBudget: 109 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 37| 500.0202820| 18|00:35:25| NA| NA| NA| +|x| 6| 18| 37| 400.0630055| 31|00:27:09|+0.34|0.67|0.3429| +|x| 7| 18| 37| 667.3424820| 44|00:27:04|+0.41|0.61|0.5162| +|x| 5| 18| 37| 806.0752747| 57|00:27:05|+0.06|0.29|0.7847| +|=| 4| 18| 35| 741.4202948| 70|00:27:05|+0.02|0.22|0.8145| +|=| 1| 18| 19| 670.6092023| 83|00:27:11|+0.06|0.22|0.8012| +|=| 2| 18| 19| 646.2452576| 96|00:27:05|+0.08|0.22|0.7500| +|=| 3| 18| 29| 718.2701789| 109|00:27:04|+0.01|0.13|0.8466| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 718.2701789 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 10 42 0.19386 59 94 42 76 23 14 + +# 2023-09-08 09:40:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 42 0.19386 59 94 42 76 23 +19 8 12 0.47071 37 50 59 2 37 +28 8 8 0.78071 72 15 7 79 41 +35 9 6 0.98055 48 32 16 58 39 +37 8 10 0.54539 98 24 1 87 66 +# 2023-09-08 09:40:13 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 280 +# remainingBudget: 220 +# currentBudget: 110 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 37| 300.1445800| 16|00:37:30| NA| NA| NA| +|x| 5| 16| 52| 750.7242770| 27|00:20:50|-0.26|0.37|1.1470| +|x| 1| 16| 19| 606.9391990| 38|00:20:52|-0.13|0.25|1.0896| +|x| 3| 16| 50| 755.6497488| 49|00:20:50|-0.12|0.16|1.0212| +|=| 7| 16| 50| 845.8481604| 60|00:20:49|-0.11|0.11|0.9948| +|=| 8| 16| 19| 791.0085978| 71|00:20:50|-0.09|0.09|0.9692| +|=| 4| 16| 52| 747.6094333| 82|00:20:49|-0.09|0.07|0.9851| +|=| 6| 16| 50| 691.1812724| 93|00:20:51|-0.04|0.09|0.9272| +|=| 2| 16| 50| 669.9436831| 104|00:20:50|-0.01|0.10|0.9157| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 669.9436831 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 13 0.31894 68 44 97 20 48 19 + +# 2023-09-08 13:04:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 13 0.31894 68 44 97 20 48 +53 10 37 0.31440 67 98 45 43 27 +19 8 12 0.47071 37 50 59 2 37 +37 8 10 0.54539 98 24 1 87 66 +29 10 42 0.19386 59 94 42 76 23 +# 2023-09-08 13:04:29 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 64| 500.0000150| 16|00:35:24| NA| NA| NA| +|x| 6| 16| 37| 400.0669610| 27|00:20:53|-0.25|0.37|1.1346| +|x| 9| 16| 37| 366.7595007| 38|00:20:50|-0.17|0.22|0.9675| +|x| 5| 16| 61| 575.8354685| 49|00:20:50|-0.13|0.15|1.0285| +|=| 3| 16| 61| 704.7859242| 60|00:20:50|-0.09|0.13|1.0064| +|=| 8| 16| 61| 670.6560653| 71|00:20:49|+0.00|0.17|0.9161| +|=| 7| 16| 61| 749.2842084| 82|00:20:50|-0.03|0.12|0.9579| +|=| 2| 16| 57| 715.9056017| 93|00:20:49|-0.03|0.10|0.9557| +|=| 4| 16| 61| 693.9063550| 104|00:20:49|-0.00|0.11|0.9372| +|=| 1| 16| 61| 654.5221254| 115|00:20:51|+0.03|0.12|0.9258| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 61 mean value: 654.5221254 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +61 61 10 13 0.25498 68 30 89 10 48 50 + +# 2023-09-08 16:47:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +61 10 13 0.25498 68 30 89 10 48 +59 10 37 0.27899 75 74 32 83 16 +50 10 13 0.31894 68 44 97 20 48 +62 9 7 0.50355 86 27 5 61 52 +55 10 32 0.27266 58 80 65 44 33 +# 2023-09-08 16:47:29 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 472516.3, CPU sys time: 26.974, Wall-clock time: 57902.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +61 10 13 0.25498 68 30 89 10 48 +59 10 37 0.27899 75 74 32 83 16 +50 10 13 0.31894 68 44 97 20 48 +62 9 7 0.50355 86 27 5 61 52 +55 10 32 0.27266 58 80 65 44 33 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +61 -K10 -k13 -M0.25498 -Q68 -G30 -D89 -O10 -L48 +59 -K10 -k37 -M0.27899 -Q75 -G74 -D32 -O83 -L16 +50 -K10 -k13 -M0.31894 -Q68 -G44 -D97 -O20 -L48 +62 -K9 -k7 -M0.50355 -Q86 -G27 -D5 -O61 -L52 +55 -K10 -k32 -M0.27266 -Q58 -G80 -D65 -O44 -L33 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 16:47:29 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-26.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-26.txt new file mode 100644 index 000000000..5a7d69586 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-26.txt @@ -0,0 +1,250 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 16:47:29 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2104089321 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 16:47:29 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 300.0779060| 16|00:26:06| NA| NA| NA| +|x| 2| 16| 15| 400.0403425| 32|00:26:00|+0.73|0.86|0.2726| +|x| 3| 16| 15| 673.8169003| 48|00:25:59|+0.31|0.54|0.6122| +|x| 4| 16| 8| 810.4821370| 64|00:26:00|+0.08|0.31|0.8537| +|-| 5| 12| 3| 748.5576944| 80|00:26:00|+0.01|0.21|0.8885| +|=| 6| 12| 3| 673.8044167| 92|00:21:42|+0.08|0.23|0.8316| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 3 mean value: 673.8044167 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +3 3 10 16 0.10638 98 80 53 67 5 NA + +# 2023-09-08 19:19:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +3 10 16 0.10638 98 80 53 67 5 +12 10 35 0.42979 41 62 73 86 12 +15 8 25 0.16773 47 36 1 76 23 +6 9 36 0.47511 65 74 69 46 67 +8 9 11 0.19943 55 25 61 17 80 +# 2023-09-08 19:19:19 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 26| 1200.203800| 18|00:36:49| NA| NA| NA| +|x| 6| 18| 29| 754.5474120| 31|00:23:54|-0.07|0.47|1.0562| +|x| 2| 18| 20| 667.2813023| 44|00:23:49|+0.23|0.48|0.6507| +|x| 1| 18| 20| 575.4825295| 57|00:23:52|+0.33|0.50|0.5187| +|-| 5| 12| 20| 560.3945342| 70|00:23:49|-0.13|0.09|0.9562| +|=| 3| 12| 20| 667.3010817| 77|00:21:39|-0.07|0.11|0.8853| +|=| 4| 12| 20| 744.5710680| 84|00:21:40|-0.03|0.11|0.8263| +|=| 8| 12| 20| 714.0054946| 96|00:21:40|+0.02|0.14|0.7915| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 714.0054946 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 10 31 0.57786 59 7 0 40 2 15 + +# 2023-09-08 22:36:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 31 0.57786 59 7 0 40 2 +26 8 26 0.62855 85 79 69 62 77 +23 7 25 0.88207 87 43 55 79 79 +21 10 46 0.64444 49 63 24 68 8 +12 10 35 0.42979 41 62 73 86 12 +# 2023-09-08 22:36:37 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 37| 300.0319010| 16|00:38:59| NA| NA| NA| +|x| 8| 16| 20| 400.0429640| 27|00:21:40|+0.26|0.63|0.5223| +|x| 1| 16| 20| 366.7240463| 38|00:21:42|+0.28|0.52|0.7027| +|x| 5| 16| 20| 400.0536730| 49|00:21:40|+0.27|0.45|0.6521| +|=| 4| 16| 20| 561.6811356| 60|00:21:39|+0.13|0.31|0.7619| +|=| 6| 16| 20| 518.1129155| 71|00:21:42|+0.12|0.27|0.7648| +|-| 7| 12| 20| 615.7466374| 82|00:21:39|-0.07|0.08|0.9948| +|=| 2| 12| 20| 601.2811981| 89|00:21:40|-0.04|0.09|0.9612| +|=| 3| 12| 20| 668.0092671| 96|00:21:39|-0.04|0.07|0.9593| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 668.0092671 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 10 31 0.57786 59 7 0 40 2 15 + +# 2023-09-09 02:09:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 31 0.57786 59 7 0 40 2 +31 8 37 0.73559 90 91 8 66 8 +37 10 17 0.40857 55 9 34 38 27 +26 8 26 0.62855 85 79 69 62 77 +39 9 26 0.54672 92 56 7 21 32 +# 2023-09-09 02:09:02 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 284 +# remainingBudget: 216 +# currentBudget: 108 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 45| 1200.312805| 15|00:34:39| NA| NA| NA| +|x| 5| 15| 20| 850.7084075| 25|00:21:40|-0.55|0.22|1.3007| +|x| 1| 15| 20| 667.1676753| 35|00:21:40|-0.18|0.21|1.0566| +|x| 3| 15| 20| 800.8342112| 45|00:21:40|-0.12|0.16|1.0196| +|=| 2| 15| 20| 740.6719936| 55|00:21:40|-0.08|0.14|0.9877| +|=| 7| 15| 20| 817.4848228| 65|00:21:40|-0.01|0.16|0.9437| +|=| 6| 15| 20| 743.5972503| 75|00:21:39|-0.01|0.14|0.9718| +|=| 4| 15| 20| 801.6714672| 85|00:21:40|+0.01|0.13|0.9560| +|=| 9| 15| 20| 745.9345761| 95|00:21:40|+0.04|0.15|0.9125| +|=| 8| 15| 20| 721.3457666| 105|00:21:39|+0.02|0.11|0.9242| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 721.3457666 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 10 31 0.57786 59 7 0 40 2 15 + +# 2023-09-09 05:58:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 31 0.57786 59 7 0 40 2 +31 8 37 0.73559 90 91 8 66 8 +39 9 26 0.54672 92 56 7 21 32 +44 8 22 0.41167 54 26 7 10 22 +26 8 26 0.62855 85 79 69 62 77 +# 2023-09-09 05:58:42 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 59| 500.0157910| 14|00:32:29| NA| NA| NA| +|x| 5| 14| 59| 500.0164850| 23|00:21:40|-0.14|0.43|0.9034| +|x| 1| 14| 20| 433.3821443| 32|00:21:39|+0.03|0.35|0.8693| +|x| 6| 14| 20| 400.1045620| 41|00:21:41|-0.04|0.22|0.9351| +|=| 8| 14| 20| 420.0929458| 50|00:21:39|-0.00|0.20|0.9296| +|=| 10| 14| 20| 550.3064985| 59|00:21:40|-0.03|0.14|0.9679| +|=| 7| 14| 20| 643.3411371| 68|00:21:39|-0.06|0.09|0.9927| +|=| 2| 14| 20| 625.4263854| 77|00:21:40|-0.05|0.08|0.9718| +|=| 3| 14| 20| 689.4716558| 86|00:21:39|-0.03|0.09|0.9310| +|=| 4| 14| 20| 741.3435888| 95|00:21:39|-0.03|0.08|0.9272| +|=| 9| 14| 20| 701.2250305| 104|00:21:42|+0.00|0.09|0.9234| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 701.2250305 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 10 31 0.57786 59 7 0 40 2 15 + +# 2023-09-09 10:07:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 31 0.57786 59 7 0 40 2 +56 8 34 0.66204 60 24 1 38 3 +53 10 29 0.63805 56 8 0 30 16 +59 7 43 0.62106 84 81 10 61 37 +31 8 37 0.73559 90 91 8 66 8 +# 2023-09-09 10:07:55 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 520140.1, CPU sys time: 31.818, Wall-clock time: 62425.86 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 31 0.57786 59 7 0 40 2 +56 8 34 0.66204 60 24 1 38 3 +53 10 29 0.63805 56 8 0 30 16 +59 7 43 0.62106 84 81 10 61 37 +31 8 37 0.73559 90 91 8 66 8 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +20 -K10 -k31 -M0.57786 -Q59 -G7 -D0 -O40 -L2 +56 -K8 -k34 -M0.66204 -Q60 -G24 -D1 -O38 -L3 +53 -K10 -k29 -M0.63805 -Q56 -G8 -D0 -O30 -L16 +59 -K7 -k43 -M0.62106 -Q84 -G81 -D10 -O61 -L37 +31 -K8 -k37 -M0.73559 -Q90 -G91 -D8 -O66 -L8 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 10:07:55 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-27.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-27.txt new file mode 100644 index 000000000..66de0cad2 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-27.txt @@ -0,0 +1,328 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 10:07:55 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1530084920 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 10:07:55 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 1200.419216| 16|00:24:44| NA| NA| NA| +|x| 2| 16| 4| 750.3154035| 32|00:24:48|+0.18|0.59|0.7743| +|x| 3| 16| 4| 666.9015783| 48|00:24:44|+0.44|0.62|0.5934| +|x| 4| 16| 4| 575.2949822| 64|00:24:45|+0.38|0.54|0.5839| +|-| 5| 4| 4| 700.4185322| 80|00:24:44|+0.04|0.23|0.8853| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 700.4185322 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 7 31 0.94359 85 93 54 42 2 NA + +# 2023-09-09 12:11:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 7 31 0.94359 85 93 54 42 2 +5 7 26 0.80378 65 84 47 95 38 +6 9 16 0.97392 19 62 2 27 27 +11 5 6 0.92374 89 24 5 12 21 +# 2023-09-09 12:11:43 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 27| 500.0326190| 17|00:31:29| NA| NA| NA| +|x| 1| 17| 4| 850.2586930| 30|00:20:15|+0.17|0.58|0.9057| +|x| 5| 17| 4| 967.1433727| 43|00:20:15|+0.21|0.47|0.8573| +|x| 3| 17| 4| 850.3760115| 56|00:20:15|+0.30|0.48|0.7342| +|-| 4| 10| 27| 744.4099910| 69|00:20:18|-0.07|0.15|0.9753| +|=| 2| 10| 27| 670.3590337| 75|00:20:15|+0.02|0.19|0.9407| +|=| 7| 10| 27| 646.0331549| 85|00:20:15|+0.00|0.15|0.9334| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 646.0331549 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 9 31 0.83368 64 67 75 26 1 5 + +# 2023-09-09 14:44:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 9 31 0.83368 64 67 75 26 1 +4 7 31 0.94359 85 93 54 42 2 +6 9 16 0.97392 19 62 2 27 27 +19 9 46 0.94297 45 44 70 76 37 +21 8 40 0.58264 87 33 28 48 69 +# 2023-09-09 14:44:47 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 165 +# remainingBudget: 335 +# currentBudget: 111 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 33| 1200.716420| 18|00:35:59| NA| NA| NA| +|x| 1| 18| 4| 1201.799587| 31|00:24:45|-0.25|0.38|1.3651| +|x| 4| 18| 33| 906.9778630| 44|00:24:48|+0.06|0.37|1.0582| +|x| 6| 18| 33| 805.2425485| 57|00:24:45|+0.08|0.31|0.9305| +|=| 7| 18| 33| 744.1975942| 70|00:24:44|+0.12|0.29|0.8786| +|=| 2| 18| 33| 670.2194152| 83|00:24:45|+0.05|0.21|0.9566| +|=| 3| 18| 33| 645.9104911| 96|00:24:44|+0.06|0.19|0.9376| +|-| 5| 5| 33| 715.2473700| 109|00:24:44|+0.21|0.31|0.7220| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 715.2473700 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 9 30 0.51625 83 20 21 22 15 19 + +# 2023-09-09 18:14:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 30 0.51625 83 20 21 22 15 +27 9 31 0.83368 64 67 75 26 1 +35 9 46 0.67100 81 28 11 34 67 +4 7 31 0.94359 85 93 54 42 2 +39 7 45 0.72148 45 8 40 18 14 +# 2023-09-09 18:14:06 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 274 +# remainingBudget: 226 +# currentBudget: 113 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 48| 300.0414370| 17|00:36:03| NA| NA| NA| +|x| 8| 17| 48| 751.9971715| 29|00:22:30|-0.38|0.31|1.3371| +|x| 6| 17| 48| 668.0179493| 41|00:22:29|-0.03|0.31|0.9618| +|x| 1| 17| 48| 803.6849007| 53|00:22:30|+0.06|0.30|0.8996| +|=| 7| 17| 33| 744.2348420| 65|00:22:29|+0.05|0.24|0.9192| +|=| 4| 17| 33| 670.2047895| 77|00:22:38|+0.07|0.23|0.9036| +|=| 5| 17| 33| 745.9763227| 89|00:22:30|+0.10|0.23|0.8907| +|=| 3| 17| 33| 715.2364008| 101|00:22:30|+0.07|0.18|0.9286| +|=| 2| 17| 48| 668.4020536| 113|00:22:37|+0.08|0.18|0.9237| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 668.4020536 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 10 42 0.6893 88 93 64 20 14 27 + +# 2023-09-09 21:50:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 10 42 0.68930 88 93 64 20 14 +33 9 30 0.51625 83 20 21 22 15 +44 10 27 0.53540 76 17 1 15 11 +27 9 31 0.83368 64 67 75 26 1 +51 8 42 0.44495 92 17 9 8 80 +# 2023-09-09 21:50:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 64| 500.0000000| 15|00:40:29| NA| NA| NA| +|x| 7| 15| 64| 500.0210755| 25|00:22:29|+0.34|0.67|0.7577| +|x| 9| 15| 64| 433.3661330| 35|00:22:34|+0.26|0.51|0.7859| +|x| 1| 15| 64| 625.4486187| 45|00:22:29|+0.35|0.51|0.7159| +|-| 2| 7| 64| 560.3657526| 55|00:22:32|+0.30|0.44|0.7204| +|!| 3| 7| 64| 550.3100548| 57|00:20:14|+0.26|0.38|0.6938| +|=| 8| 7| 64| 643.7160569| 59|00:20:14|+0.12|0.24|0.8055| +|!| 4| 7| 64| 600.7537643| 61|00:20:15|+0.19|0.29|0.7635| +|=| 5| 7| 64| 667.4589669| 63|00:20:14|+0.10|0.20|0.7828| +|=| 6| 7| 64| 650.7139767| 65|00:20:15|+0.10|0.19|0.7812| +|-| 11| 5| 64| 700.6847363| 72|00:22:29|-0.01|0.08|0.7293| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 64 mean value: 700.6847363 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +64 64 9 33 0.38245 95 23 34 16 11 44 + +# 2023-09-10 02:04:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +64 9 33 0.38245 95 23 34 16 11 +63 8 31 0.48757 88 31 3 6 15 +48 10 42 0.68930 88 93 64 20 14 +33 9 30 0.51625 83 20 21 22 15 +44 10 27 0.53540 76 17 1 15 11 +# 2023-09-10 02:04:47 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 459 +# remainingBudget: 41 +# currentBudget: 41 +# nbConfigurations: 8 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 8| 44| 300.0203090| 8|00:22:29| NA| NA| NA| +|x| 2| 8| 44| 300.0285335| 11|00:20:15|+0.10|0.55|1.1130| +|x| 10| 8| 64| 366.6942207| 14|00:20:15|+0.29|0.53|0.7754| +|x| 4| 8| 64| 350.0250945| 17|00:20:14|+0.43|0.57|0.7919| +|-| 11| 5| 64| 520.0985420| 20|00:20:14|+0.43|0.54|0.6153| +|.| 6| 5| 64| 516.7502958| 20|00:00:00|+0.38|0.48|0.6066| +|.| 3| 5| 64| 514.3619059| 20|00:00:00|+0.21|0.32|0.6798| +|.| 7| 5| 64| 512.5719365| 20|00:00:00|+0.17|0.27|0.6976| +|.| 5| 5| 64| 589.0751200| 20|00:00:00|+0.09|0.19|0.7224| +|.| 1| 5| 64| 650.3372156| 20|00:00:00|+0.09|0.18|0.7159| +|.| 9| 5| 64| 618.4934913| 20|00:00:00|+0.04|0.13|0.7086| +|.| 8| 5| 64| 667.2983727| 20|00:00:00|+0.00|0.08|0.7272| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 64 mean value: 667.2983727 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +64 64 9 33 0.38245 95 23 34 16 11 44 + +# 2023-09-10 03:48:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +64 9 33 0.38245 95 23 34 16 11 +63 8 31 0.48757 88 31 3 6 15 +44 10 27 0.53540 76 17 1 15 11 +48 10 42 0.68930 88 93 64 20 14 +33 9 30 0.51625 83 20 21 22 15 +# 2023-09-10 03:48:17 -03: Iteration 7 of 7 +# experimentsUsedSoFar: 479 +# remainingBudget: 21 +# currentBudget: 21 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 64| 300.0187710| 6|00:22:30| NA| NA| NA| +|x| 6| 6| 68| 400.0168845| 7|00:22:29|+0.55|0.78|0.2892| +|x| 8| 6| 64| 668.0599683| 8|00:22:29|+0.12|0.42|0.4966| +|x| 10| 6| 64| 626.0449762| 9|00:22:30|+0.24|0.43|0.5139| +|!| 7| 6| 64| 600.8444112| 10|00:22:29|+0.34|0.47|0.4635| +|!| 12| 6| 68| 551.5992555| 11|00:22:30|+0.26|0.38|0.4529| +|=| 3| 6| 64| 543.4717137| 12|00:22:29|+0.07|0.20|0.6624| +|=| 2| 6| 68| 513.7065761| 13|00:22:30|+0.10|0.21|0.7295| +|=| 11| 6| 64| 589.4142907| 14|00:22:29|+0.06|0.16|0.7968| +|=| 9| 6| 64| 560.4784864| 15|00:22:30|+0.02|0.12|0.7984| +|=| 4| 6| 64| 536.8002345| 16|00:22:29|+0.02|0.11|0.8168| +|=| 5| 6| 64| 592.1585973| 17|00:22:29|+0.00|0.09|0.8155| +|=| 1| 6| 64| 639.0460957| 18|00:22:29|-0.00|0.08|0.8155| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 64 mean value: 639.0460957 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +64 64 9 33 0.38245 95 23 34 16 11 44 + +# 2023-09-10 08:40:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +64 9 33 0.38245 95 23 34 16 11 +68 10 24 0.60911 86 38 15 35 20 +63 8 31 0.48757 88 31 3 6 15 +44 10 27 0.53540 76 17 1 15 11 +33 9 30 0.51625 83 20 21 22 15 +# 2023-09-10 08:40:47 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 8 +# nbIterations: 8 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 514482.3, CPU sys time: 32.174, Wall-clock time: 81171.61 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +64 9 33 0.38245 95 23 34 16 11 +68 10 24 0.60911 86 38 15 35 20 +63 8 31 0.48757 88 31 3 6 15 +44 10 27 0.53540 76 17 1 15 11 +33 9 30 0.51625 83 20 21 22 15 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +64 -K9 -k33 -M0.38245 -Q95 -G23 -D34 -O16 -L11 +68 -K10 -k24 -M0.60911 -Q86 -G38 -D15 -O35 -L20 +63 -K8 -k31 -M0.48757 -Q88 -G31 -D3 -O6 -L15 +44 -K10 -k27 -M0.5354 -Q76 -G17 -D1 -O15 -L11 +33 -K9 -k30 -M0.51625 -Q83 -G20 -D21 -O22 -L15 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 08:40:47 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-28.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-28.txt new file mode 100644 index 000000000..46562ac2e --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-28.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:32:22 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1956576216 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:32:22 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 300.1057940| 16|00:28:15| NA| NA| NA| +|x| 2| 16| 10| 757.0068840| 32|00:27:59|+0.38|0.69|0.6220| +|x| 3| 16| 10| 671.3787733| 48|00:28:00|+0.17|0.45|0.6523| +|x| 4| 16| 11| 630.2528305| 64|00:27:59|+0.24|0.43|0.6353| +|-| 5| 7| 11| 564.2610176| 80|00:28:14|-0.03|0.17|0.8012| +|=| 6| 7| 11| 670.7049713| 87|00:23:20|-0.00|0.16|0.7334| +|=| 7| 7| 10| 645.0454986| 94|00:23:19|-0.06|0.09|0.8140| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 645.0454986 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 8 24 0.94404 86 92 16 5 98 NA + +# 2023-09-06 19:39:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 8 24 0.94404 86 92 16 5 98 +11 8 45 0.91604 42 75 84 31 11 +3 10 21 0.36993 13 31 10 99 63 +14 5 10 0.15434 82 25 18 100 1 +4 8 46 0.98610 21 73 94 20 93 +# 2023-09-06 19:39:31 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 21| 300.1997090| 17|00:32:51| NA| NA| NA| +|x| 5| 17| 28| 300.1872320| 29|00:23:21|+0.30|0.65|1.0062| +|x| 6| 17| 24| 600.8583327| 41|00:23:20|+0.11|0.41|0.9113| +|x| 7| 17| 10| 575.3490200| 53|00:23:20|+0.22|0.41|0.7757| +|-| 4| 12| 24| 560.5459738| 65|00:23:20|-0.06|0.16|0.9829| +|=| 3| 12| 24| 550.4680942| 72|00:18:39|-0.03|0.14|0.9471| +|=| 1| 12| 24| 514.7192401| 79|00:18:39|-0.00|0.14|0.9067| +|=| 2| 12| 24| 601.3227696| 86|00:18:39|-0.00|0.12|0.8982| +|=| 9| 12| 24| 670.2080693| 98|00:23:19|+0.03|0.14|0.8748| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 670.2080693 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 7 40 0.86081 90 93 2 44 35 10 + +# 2023-09-06 23:05:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 7 40 0.86081 90 93 2 44 35 +10 8 24 0.94404 86 92 16 5 98 +11 8 45 0.91604 42 75 84 31 11 +23 7 30 0.93200 54 71 23 6 18 +3 10 21 0.36993 13 31 10 99 63 +# 2023-09-06 23:05:04 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 3| 500.0620410| 14|00:27:59| NA| NA| NA| +|x| 2| 14| 23| 850.4956640| 23|00:21:00|-0.32|0.34|1.1961| +|x| 7| 14| 35| 733.5922097| 32|00:21:00|+0.05|0.37|0.8704| +|x| 3| 14| 35| 675.2061700| 41|00:21:00|+0.11|0.33|0.8064| +|=| 9| 14| 35| 780.2816886| 50|00:20:59|+0.08|0.26|0.8472| +|=| 6| 14| 35| 853.5834487| 59|00:21:00|+0.09|0.24|0.8763| +|=| 8| 14| 35| 774.5116540| 68|00:21:01|+0.10|0.23|0.8668| +|-| 1| 8| 35| 715.2131625| 77|00:20:59|+0.07|0.18|0.8747| +|=| 5| 8| 35| 669.0919526| 80|00:20:59|+0.11|0.21|0.8267| +|-| 4| 2| 35| 652.1838164| 83|00:20:59|+0.07|0.16|0.4667| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 652.1838164 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 43 0.92157 67 88 37 36 8 24 + +# 2023-09-07 02:42:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 43 0.92157 67 88 37 36 8 +30 8 18 0.80763 96 42 15 8 51 +# 2023-09-07 02:42:05 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 12| 35| 1200.160168| 12|00:23:19| NA| NA| NA| +|x| 4| 12| 35| 850.0853795| 22|00:23:20|-0.17|0.42|1.2203| +|x| 2| 12| 35| 966.9226907| 32|00:23:19|+0.04|0.36|0.9372| +|x| 3| 12| 35| 850.2040308| 42|00:23:20|+0.07|0.30|0.8056| +|=| 9| 12| 35| 920.2799772| 52|00:23:19|+0.20|0.36|0.7456| +|-| 1| 4| 35| 816.9206013| 62|00:23:21|+0.21|0.34|0.5938| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 701.9998484 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 43 0.92157 67 88 37 36 8 24 + +# 2023-09-07 05:02:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 43 0.92157 67 88 37 36 8 +30 8 18 0.80763 96 42 15 8 51 +39 8 43 0.97053 80 98 29 35 25 +43 9 32 0.67750 50 75 58 4 42 +# 2023-09-07 05:02:06 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 337 +# remainingBudget: 163 +# currentBudget: 163 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 17| 58| 300.0562020| 17|00:44:23| NA| NA| NA| +|x| 2| 17| 58| 750.7016555| 30|00:34:59|-0.14|0.43|1.0381| +|x| 7| 17| 58| 667.1438443| 45|00:42:00|-0.03|0.31|0.9767| +|x| 6| 17| 60| 805.2987983| 60|00:42:00|-0.06|0.21|1.0571| +|=| 1| 17| 60| 704.2483692| 73|00:35:13|+0.01|0.21|0.9971| +|=| 3| 17| 60| 670.2165290| 86|00:34:59|+0.05|0.21|0.9407| +|=| 4| 17| 60| 645.9048174| 99|00:35:00|+0.10|0.23|0.8675| +|-| 5| 9| 60| 602.6746794| 114|00:42:09|+0.02|0.14|0.9178| +|=| 9| 9| 60| 671.3789144| 119|00:23:19|+0.01|0.12|0.9172| +|=| 10| 9| 60| 654.2439757| 126|00:23:20|+0.03|0.13|0.8926| +|=| 11| 9| 60| 705.7367419| 131|00:23:20|+0.02|0.11|0.8900| +|=| 8| 9| 60| 671.9319879| 138|00:23:20|+0.02|0.10|0.8961| +|=| 13| 9| 35| 655.6339030| 147|00:23:20|+0.02|0.10|0.8907| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 655.6339030 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 9 43 0.92157 67 88 37 36 8 24 + +# 2023-09-07 12:09:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 43 0.92157 67 88 37 36 8 +60 10 37 0.94500 88 88 56 26 13 +30 8 18 0.80763 96 42 15 8 51 +58 10 39 0.99355 77 68 36 46 18 +39 8 43 0.97053 80 98 29 35 25 +# 2023-09-07 12:09:34 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 484 +# timeUsed: 0 +# remainingBudget: 16 +# currentBudget: 16 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 521550, CPU sys time: 37.357, Wall-clock time: 70632.31 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 9 43 0.92157 67 88 37 36 8 +60 10 37 0.94500 88 88 56 26 13 +30 8 18 0.80763 96 42 15 8 51 +58 10 39 0.99355 77 68 36 46 18 +39 8 43 0.97053 80 98 29 35 25 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +35 -K9 -k43 -M0.92157 -Q67 -G88 -D37 -O36 -L8 +60 -K10 -k37 -M0.945 -Q88 -G88 -D56 -O26 -L13 +30 -K8 -k18 -M0.80763 -Q96 -G42 -D15 -O8 -L51 +58 -K10 -k39 -M0.99355 -Q77 -G68 -D36 -O46 -L18 +39 -K8 -k43 -M0.97053 -Q80 -G98 -D29 -O35 -L25 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 12:09:34 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-29.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-29.txt new file mode 100644 index 000000000..af1f10c81 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-29.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 12:09:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2065027965 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 12:09:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 11| 1200.832195| 16|00:28:59| NA| NA| NA| +|x| 2| 16| 1| 852.0425210| 32|00:29:00|+0.33|0.66|0.6963| +|x| 3| 16| 1| 668.1556327| 48|00:29:00|+0.29|0.53|0.6207| +|x| 4| 16| 1| 576.2151995| 64|00:29:04|+0.36|0.52|0.5076| +|-| 5| 10| 7| 561.0236988| 80|00:28:59|-0.02|0.18|0.9027| +|=| 6| 10| 14| 673.7156297| 90|00:24:10|-0.01|0.16|0.8895| +|=| 7| 10| 1| 618.0153549| 100|00:24:10|-0.06|0.09|0.9399| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 1 mean value: 618.0153549 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +1 1 6 3 0.2078 56 10 17 10 50 NA + +# 2023-09-07 15:23:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +1 6 3 0.20780 56 10 17 10 50 +14 9 2 0.60926 18 73 6 31 49 +7 10 12 0.69044 33 52 56 21 48 +8 6 31 0.70334 82 0 28 45 62 +5 6 26 0.67513 63 20 23 54 93 +# 2023-09-07 15:23:00 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 8| 500.0344060| 16|00:36:14| NA| NA| NA| +|x| 6| 16| 27| 857.7444835| 27|00:24:09|+0.26|0.63|0.8773| +|x| 7| 16| 27| 671.8901167| 38|00:24:13|+0.05|0.36|0.9800| +|x| 4| 16| 27| 579.0221823| 49|00:24:12|+0.10|0.33|0.8992| +|=| 1| 16| 23| 704.4535140| 60|00:24:09|+0.12|0.30|0.8653| +|-| 5| 12| 23| 670.3960513| 71|00:24:10|-0.08|0.10|0.9852| +|=| 2| 12| 23| 646.0715729| 78|00:24:09|-0.04|0.11|0.9393| +|=| 3| 12| 23| 602.8450273| 85|00:24:09|-0.00|0.12|0.9137| +|=| 9| 12| 27| 671.1392468| 97|00:24:09|+0.02|0.13|0.8981| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 671.1392468 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 7 3 0.69023 76 15 62 18 65 1 + +# 2023-09-07 19:12:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 7 3 0.69023 76 15 62 18 65 +26 10 6 0.44235 38 59 41 66 48 +23 6 10 0.38450 19 60 10 18 38 +7 10 12 0.69044 33 52 56 21 48 +1 6 3 0.20780 56 10 17 10 50 +# 2023-09-07 19:12:40 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 35| 500.0572490| 14|00:36:14| NA| NA| NA| +|x| 4| 14| 30| 400.0621265| 23|00:24:13|+0.60|0.80|0.5878| +|x| 1| 14| 30| 667.1264823| 32|00:24:09|+0.49|0.66|0.5909| +|x| 2| 14| 30| 625.3731350| 41|00:24:09|+0.24|0.43|0.7536| +|-| 6| 9| 30| 740.4923620| 50|00:24:09|-0.05|0.16|0.9518| +|=| 8| 9| 30| 700.4197367| 54|00:21:45|+0.01|0.17|0.8976| +|=| 5| 9| 30| 671.7934524| 58|00:21:44|+0.06|0.19|0.8509| +|=| 3| 9| 30| 625.3268316| 62|00:21:45|+0.07|0.19|0.8700| +|=| 7| 9| 30| 589.1819631| 66|00:21:45|+0.10|0.20|0.8515| +|-| 9| 3| 30| 650.4572779| 70|00:21:44|-0.01|0.09|0.6587| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 650.4572779 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 9 40 0.82244 74 39 29 19 81 27 + +# 2023-09-07 23:14:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 40 0.82244 74 39 29 19 81 +36 7 19 0.91167 77 85 49 55 62 +31 9 17 0.87665 41 57 51 14 35 +# 2023-09-07 23:14:23 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 267 +# remainingBudget: 233 +# currentBudget: 116 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 13| 40| 300.0881140| 13|00:24:16| NA| NA| NA| +|x| 4| 13| 30| 300.0747360| 23|00:24:12|+0.47|0.73|0.2121| +|x| 7| 13| 30| 300.0574957| 33|00:24:12|+0.49|0.66|0.2420| +|x| 9| 13| 41| 525.1905558| 43|00:24:10|+0.43|0.57|0.4271| +|-| 8| 4| 41| 520.1543252| 53|00:24:11|+0.28|0.42|0.4989| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 618.6060310 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 9 40 0.82244 74 39 29 19 81 27 + +# 2023-09-08 01:15:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 40 0.82244 74 39 29 19 81 +36 7 19 0.91167 77 85 49 55 62 +31 9 17 0.87665 41 57 51 14 35 +41 10 45 0.75386 89 29 24 39 42 +# 2023-09-08 01:15:27 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 320 +# remainingBudget: 180 +# currentBudget: 180 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 18| 57| 1200.752961| 18|00:43:30| NA| NA| NA| +|x| 9| 18| 57| 1200.537582| 32|00:38:39|-0.11|0.45|1.0339| +|x| 3| 18| 57| 900.4593757| 47|00:38:51|-0.08|0.28|0.9157| +|x| 5| 18| 60| 801.1469925| 62|00:38:39|-0.01|0.24|0.8361| +|=| 6| 18| 57| 880.3476850| 77|00:38:40|-0.01|0.19|0.8890| +|=| 10| 18| 60| 817.8206572| 92|00:38:39|+0.04|0.20|0.8598| +|=| 7| 18| 60| 743.8603551| 106|00:38:47|+0.09|0.22|0.8276| +|-| 11| 13| 30| 690.4825414| 120|00:38:44|-0.05|0.08|0.9297| +|=| 8| 13| 30| 669.3241046| 129|00:24:10|-0.02|0.09|0.9267| +|=| 1| 13| 30| 722.5172135| 139|00:24:12|+0.00|0.10|0.9085| +|=| 2| 13| 30| 702.2986571| 149|00:24:09|-0.01|0.08|0.9297| +|=| 4| 13| 30| 668.7784282| 158|00:24:11|-0.01|0.07|0.9407| +|=| 13| 13| 30| 655.8034219| 171|00:38:39|-0.01|0.07|0.9314| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 655.8034219 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 9 40 0.82244 74 39 29 19 81 27 + +# 2023-09-08 08:45:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 40 0.82244 74 39 29 19 81 +60 9 12 0.88483 56 67 41 9 51 +41 10 45 0.75386 89 29 24 39 42 +50 10 34 0.74332 73 32 15 37 86 +57 9 44 0.82108 76 62 19 9 86 +# 2023-09-08 08:45:24 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 536579.9, CPU sys time: 37.003, Wall-clock time: 74149.49 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 40 0.82244 74 39 29 19 81 +60 9 12 0.88483 56 67 41 9 51 +41 10 45 0.75386 89 29 24 39 42 +50 10 34 0.74332 73 32 15 37 86 +57 9 44 0.82108 76 62 19 9 86 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +30 -K9 -k40 -M0.82244 -Q74 -G39 -D29 -O19 -L81 +60 -K9 -k12 -M0.88483 -Q56 -G67 -D41 -O9 -L51 +41 -K10 -k45 -M0.75386 -Q89 -G29 -D24 -O39 -L42 +50 -K10 -k34 -M0.74332 -Q73 -G32 -D15 -O37 -L86 +57 -K9 -k44 -M0.82108 -Q76 -G62 -D19 -O9 -L86 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 08:45:24 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-3.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-3.txt new file mode 100644 index 000000000..a4ab09d17 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-3.txt @@ -0,0 +1,248 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 17:32:10 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 554564335 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 17:32:10 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.7063720| 16|00:03:14| NA| NA| NA| +|x| 2| 16| 6| 400.6983760| 32|00:03:14|+0.39|0.69|0.4077| +|x| 3| 16| 6| 674.1155713| 48|00:03:14|+0.39|0.59|0.4708| +|x| 4| 16| 6| 580.6275440| 64|00:03:15|+0.47|0.60|0.4022| +|-| 5| 3| 6| 564.5168490| 80|00:03:14|+0.40|0.52|0.4163| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 6 mean value: 564.5168490 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +6 6 7 29 0.97462 73 1 14 5 64 NA + +# 2023-09-06 17:48:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +6 7 29 0.97462 73 1 14 5 64 +8 9 33 0.59017 89 31 11 16 67 +12 10 24 0.61465 58 40 96 4 25 +# 2023-09-06 17:48:25 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 17| 17| 1209.456621| 17|00:04:00| NA| NA| NA| +|x| 2| 17| 26| 860.6552020| 31|00:03:44|+0.27|0.64|0.6925| +|x| 3| 17| 30| 981.4054193| 45|00:03:45|+0.38|0.59|0.6240| +|x| 5| 17| 30| 861.0766928| 59|00:03:44|+0.35|0.51|0.5571| +|-| 4| 11| 6| 749.2468102| 73|00:03:45|-0.12|0.11|0.9237| +|=| 1| 11| 17| 672.0440383| 81|00:02:29|-0.06|0.11|0.9446| +|=| 7| 11| 17| 619.2736094| 92|00:02:30|-0.03|0.12|0.9636| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 619.2736094 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 7 38 0.41116 86 45 23 0 15 12 + +# 2023-09-06 18:12:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 38 0.41116 86 45 23 0 15 +6 7 29 0.97462 73 1 14 5 64 +12 10 24 0.61465 58 40 96 4 25 +30 9 42 0.43848 61 30 81 71 21 +24 8 26 0.37511 84 8 14 17 84 +# 2023-09-06 18:12:25 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 172 +# remainingBudget: 328 +# currentBudget: 109 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 43| 1221.666347| 18|00:03:59| NA| NA| NA| +|x| 4| 18| 43| 761.1836800| 31|00:02:46|-0.00|0.50|0.9894| +|x| 5| 18| 43| 674.1471657| 44|00:02:44|+0.15|0.44|0.9567| +|x| 7| 18| 43| 580.8198178| 57|00:02:46|-0.00|0.25|0.9945| +|=| 3| 18| 43| 708.9393364| 70|00:02:44|+0.08|0.26|0.9104| +|-| 1| 10| 43| 640.7997378| 83|00:02:46|-0.09|0.09|0.9458| +|=| 6| 10| 43| 723.8595949| 88|00:02:14|-0.03|0.11|0.9267| +|=| 2| 10| 43| 695.9130333| 93|00:02:14|-0.07|0.07|0.9630| +|=| 9| 10| 43| 674.1514852| 103|00:02:30|-0.05|0.07|0.9430| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 674.1514852 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 8 41 0.92358 87 1 52 20 3 6 + +# 2023-09-06 18:37:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 8 41 0.92358 87 1 52 20 3 +30 9 42 0.43848 61 30 81 71 21 +6 7 29 0.97462 73 1 14 5 64 +12 10 24 0.61465 58 40 96 4 25 +17 7 38 0.41116 86 45 23 0 15 +# 2023-09-06 18:37:13 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 17| 300.1057240| 15|00:03:29| NA| NA| NA| +|x| 6| 15| 17| 754.7811725| 25|00:02:29|+0.33|0.67|0.7463| +|x| 8| 15| 17| 910.6710723| 35|00:02:29|-0.02|0.32|0.8374| +|x| 5| 15| 17| 808.0166050| 45|00:02:30|+0.14|0.35|0.8006| +|=| 4| 15| 17| 706.5373966| 55|00:02:30|+0.17|0.33|0.6889| +|-| 1| 12| 17| 638.8684533| 65|00:02:30|-0.04|0.14|0.8671| +|=| 3| 12| 17| 722.0911729| 72|00:02:14|-0.03|0.11|0.8520| +|=| 9| 12| 17| 694.3572821| 79|00:02:15|-0.04|0.09|0.8713| +|=| 2| 12| 17| 672.7823192| 86|00:02:14|-0.03|0.08|0.8853| +|=| 7| 12| 51| 636.1892513| 93|00:02:15|-0.06|0.05|0.9228| +|=| 11| 12| 17| 623.4326524| 105|00:02:30|-0.05|0.05|0.9251| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 623.4326524 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 7 38 0.41116 86 45 23 0 15 12 + +# 2023-09-06 19:04:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 38 0.41116 86 45 23 0 15 +47 7 43 0.93997 85 16 30 30 29 +49 8 38 0.87310 74 17 14 14 58 +51 8 25 0.44282 75 54 53 64 19 +6 7 29 0.97462 73 1 14 5 64 +# 2023-09-06 19:04:43 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 380 +# remainingBudget: 120 +# currentBudget: 120 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 62| 1204.335916| 14|00:03:29| NA| NA| NA| +|x| 1| 14| 55| 760.8560490| 23|00:02:00|-0.14|0.43|1.1405| +|x| 6| 14| 60| 914.1002143| 32|00:01:59|+0.01|0.34|0.8472| +|x| 5| 14| 55| 810.6272355| 41|00:02:00|+0.07|0.30|0.8540| +|=| 10| 14| 17| 706.5168736| 50|00:02:00|+0.02|0.21|0.8768| +|=| 2| 14| 17| 672.1278307| 59|00:01:59|+0.01|0.18|0.8719| +|=| 4| 14| 17| 619.0553639| 68|00:02:00|+0.01|0.15|0.8857| +|=| 9| 14| 55| 605.4678345| 77|00:01:59|+0.01|0.13|0.9069| +|=| 11| 14| 55| 593.7620680| 86|00:02:00|+0.06|0.16|0.8708| +|=| 8| 14| 17| 655.6125733| 95|00:01:59|+0.03|0.13|0.9098| +|=| 7| 14| 54| 624.4079097| 104|00:02:00|+0.02|0.11|0.9195| +|=| 3| 14| 17| 673.3503549| 113|00:01:59|+0.03|0.11|0.9157| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 673.3503549 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 7 38 0.41116 86 45 23 0 15 12 + +# 2023-09-06 19:30:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 38 0.41116 86 45 23 0 15 +55 7 43 0.23708 92 45 2 5 21 +54 8 39 0.33838 92 49 20 32 3 +49 8 38 0.87310 74 17 14 14 58 +47 7 43 0.93997 85 16 30 30 29 +# 2023-09-06 19:30:13 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 53546.38, CPU sys time: 6.321, Wall-clock time: 7082.805 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 7 38 0.41116 86 45 23 0 15 +55 7 43 0.23708 92 45 2 5 21 +54 8 39 0.33838 92 49 20 32 3 +49 8 38 0.87310 74 17 14 14 58 +47 7 43 0.93997 85 16 30 30 29 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +17 -K7 -k38 -M0.41116 -Q86 -G45 -D23 -O0 -L15 +55 -K7 -k43 -M0.23708 -Q92 -G45 -D2 -O5 -L21 +54 -K8 -k39 -M0.33838 -Q92 -G49 -D20 -O32 -L3 +49 -K8 -k38 -M0.8731 -Q74 -G17 -D14 -O14 -L58 +47 -K7 -k43 -M0.93997 -Q85 -G16 -D30 -O30 -L29 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 19:30:13 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-30.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-30.txt new file mode 100644 index 000000000..f28e9deb8 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-30.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:37:36 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 144908214 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:37:36 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 7| 300.1036490| 16|00:24:59| NA| NA| NA| +|x| 2| 16| 7| 400.0695575| 32|00:24:59|+0.52|0.76|0.4305| +|x| 3| 16| 2| 668.0358043| 48|00:24:59|+0.51|0.68|0.4520| +|x| 4| 16| 10| 805.6957350| 64|00:25:00|+0.39|0.54|0.6385| +|-| 5| 9| 2| 704.9832732| 80|00:25:00|-0.02|0.19|0.9090| +|=| 6| 9| 7| 673.8239117| 89|00:24:59|+0.09|0.24|0.8347| +|=| 7| 9| 2| 746.6317696| 98|00:25:00|+0.14|0.26|0.8021| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 746.6317696 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 9 42 0.9276 77 5 63 76 12 NA + +# 2023-09-06 19:32:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 9 42 0.92760 77 5 63 76 12 +6 7 35 0.26237 18 72 47 30 12 +7 10 17 0.49397 31 36 50 43 45 +10 8 38 0.74721 72 48 93 25 31 +13 8 13 0.70963 42 62 51 66 1 +# 2023-09-06 19:32:36 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 25| 500.0227150| 16|00:29:59| NA| NA| NA| +|x| 6| 16| 7| 500.0223340| 27|00:22:30|+0.23|0.62|0.6320| +|x| 3| 16| 6| 734.2328923| 38|00:22:29|+0.04|0.36|0.8731| +|x| 5| 16| 25| 630.1627388| 49|00:22:31|+0.11|0.33|0.8510| +|=| 4| 16| 25| 748.1333234| 60|00:22:29|+0.08|0.26|0.8738| +|=| 2| 16| 7| 707.1472052| 71|00:22:30|+0.04|0.20|0.8729| +|=| 7| 16| 19| 776.5842037| 82|00:22:29|+0.03|0.17|0.8887| +|=| 1| 16| 7| 720.4918450| 93|00:22:30|+0.07|0.18|0.9005| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 720.4918450 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 10 17 0.49397 31 36 50 43 45 NA + +# 2023-09-06 22:40:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 10 17 0.49397 31 36 50 43 45 +25 9 26 0.59851 79 20 23 31 8 +2 9 42 0.92760 77 5 63 76 12 +26 6 11 0.86182 65 34 13 91 31 +17 9 35 0.68513 76 47 35 37 3 +# 2023-09-06 22:40:07 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 37| 300.0261440| 15|00:44:59| NA| NA| NA| +|x| 8| 15| 33| 400.0372925| 25|00:24:59|+0.46|0.73|0.7145| +|x| 7| 15| 37| 667.9238643| 35|00:25:00|-0.17|0.22|1.0917| +|x| 5| 15| 25| 580.1583510| 45|00:24:59|-0.18|0.12|1.1185| +|=| 6| 15| 25| 564.1301578| 55|00:24:59|-0.05|0.16|1.0284| +|=| 4| 15| 25| 673.4444085| 65|00:25:00|-0.04|0.13|0.9855| +|=| 1| 15| 25| 620.1100884| 75|00:25:00|+0.04|0.17|0.9054| +|=| 2| 15| 25| 605.1098705| 85|00:24:59|+0.03|0.15|0.9280| +|=| 3| 15| 37| 667.3285028| 95|00:24:59|-0.01|0.10|0.9299| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 667.3285028 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 9 17 0.56714 61 68 31 39 29 17 + +# 2023-09-07 02:45:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 9 17 0.56714 61 68 31 39 29 +25 9 26 0.59851 79 20 23 31 8 +33 9 18 0.45143 82 65 46 17 47 +7 10 17 0.49397 31 36 50 43 45 +35 10 14 0.51744 20 57 86 15 60 +# 2023-09-07 02:45:07 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 45| 300.0313830| 15|00:47:29| NA| NA| NA| +|x| 9| 15| 45| 300.0225465| 25|00:25:00|+0.52|0.76|0.6294| +|x| 6| 15| 47| 366.7063170| 35|00:25:00|+0.29|0.53|0.6769| +|x| 1| 15| 25| 350.1432765| 45|00:25:00|+0.31|0.48|0.6657| +|-| 5| 10| 25| 340.1229836| 55|00:25:00|-0.03|0.18|0.9313| +|=| 2| 10| 45| 366.7569662| 60|00:24:59|-0.02|0.15|0.9428| +|=| 7| 10| 45| 488.1448939| 65|00:25:00|-0.02|0.12|0.9791| +|=| 8| 10| 45| 489.6272518| 70|00:24:59|-0.02|0.11|0.9375| +|=| 4| 10| 45| 570.8354582| 75|00:25:00|-0.05|0.07|0.9479| +|=| 3| 10| 45| 635.7932585| 80|00:24:59|-0.05|0.06|0.9560| +|=| 11| 10| 45| 687.1597465| 90|00:25:00|-0.03|0.06|0.9445| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 687.1597465 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 10 17 0.6565 78 37 76 31 47 7 + +# 2023-09-07 07:42:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 10 17 0.65650 78 37 76 31 47 +43 10 36 0.65956 67 41 51 41 9 +37 9 17 0.56714 61 68 31 39 29 +25 9 26 0.59851 79 20 23 31 8 +38 9 17 0.84763 71 16 8 32 13 +# 2023-09-07 07:42:38 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 53| 500.0114090| 14|00:47:29| NA| NA| NA| +|x| 3| 14| 43| 852.2462645| 23|00:25:00|+0.12|0.56|0.6469| +|x| 6| 14| 55| 735.6665457| 32|00:25:00|+0.00|0.33|0.8595| +|x| 7| 14| 55| 851.8648602| 41|00:24:59|-0.04|0.22|0.9007| +|=| 2| 14| 55| 781.4988862| 50|00:25:00|-0.02|0.18|0.9078| +|=| 1| 14| 37| 700.8654432| 59|00:25:00|-0.03|0.14|0.9463| +|=| 10| 14| 37| 643.6129180| 68|00:25:00|-0.03|0.11|0.9240| +|=| 4| 14| 37| 713.1967540| 77|00:24:59|-0.01|0.12|0.9060| +|=| 11| 14| 37| 769.6089309| 86|00:24:59|+0.02|0.13|0.8992| +|=| 9| 14| 37| 722.6506522| 95|00:25:00|+0.05|0.15|0.8752| +|=| 8| 14| 37| 702.4134171| 104|00:24:59|+0.04|0.13|0.8893| +|=| 5| 14| 43| 670.5935525| 113|00:25:00|+0.00|0.09|0.9318| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 670.5935525 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 36 0.65956 67 41 51 41 9 25 + +# 2023-09-07 13:05:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 36 0.65956 67 41 51 41 9 +37 9 17 0.56714 61 68 31 39 29 +38 9 17 0.84763 71 16 8 32 13 +45 10 17 0.65650 78 37 76 31 47 +50 9 22 0.56763 78 20 28 43 5 +# 2023-09-07 13:05:09 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 598447.7, CPU sys time: 28.33, Wall-clock time: 73652.78 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 36 0.65956 67 41 51 41 9 +37 9 17 0.56714 61 68 31 39 29 +38 9 17 0.84763 71 16 8 32 13 +45 10 17 0.65650 78 37 76 31 47 +50 9 22 0.56763 78 20 28 43 5 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +43 -K10 -k36 -M0.65956 -Q67 -G41 -D51 -O41 -L9 +37 -K9 -k17 -M0.56714 -Q61 -G68 -D31 -O39 -L29 +38 -K9 -k17 -M0.84763 -Q71 -G16 -D8 -O32 -L13 +45 -K10 -k17 -M0.6565 -Q78 -G37 -D76 -O31 -L47 +50 -K9 -k22 -M0.56763 -Q78 -G20 -D28 -O43 -L5 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 13:05:09 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-31.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-31.txt new file mode 100644 index 000000000..b9fea2864 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-31.txt @@ -0,0 +1,300 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 13:05:09 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1633048010 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 13:05:09 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.0313540| 16|00:28:24| NA| NA| NA| +|x| 2| 16| 16| 400.0269005| 32|00:28:25|+0.77|0.88|0.1696| +|x| 3| 16| 4| 667.1371810| 48|00:28:24|+0.40|0.60|0.4839| +|x| 4| 16| 16| 626.3577182| 64|00:28:25|+0.47|0.60|0.4189| +|-| 5| 6| 16| 561.1075620| 80|00:28:26|-0.05|0.16|0.9009| +|=| 6| 6| 16| 671.0234252| 86|00:25:49|-0.15|0.04|0.9277| +|=| 7| 6| 16| 746.6351601| 92|00:25:50|-0.08|0.07|0.8518| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 746.6351601 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 27 0.43372 84 89 31 9 41 NA + +# 2023-09-07 16:18:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 27 0.43372 84 89 31 9 41 +13 5 13 0.89044 90 80 14 23 79 +4 10 38 0.56451 49 76 70 39 21 +1 7 42 0.97606 99 20 38 94 2 +3 5 39 0.46997 86 81 34 61 70 +# 2023-09-07 16:18:57 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 4| 300.0723450| 17|00:36:09| NA| NA| NA| +|x| 2| 17| 4| 400.0518080| 29|00:23:15|+0.53|0.76|0.4615| +|x| 4| 17| 16| 433.4001413| 41|00:23:14|+0.39|0.59|0.5593| +|x| 1| 17| 16| 400.0635050| 53|00:23:16|+0.47|0.60|0.5130| +|-| 7| 9| 16| 560.1119180| 65|00:23:14|+0.08|0.26|0.8327| +|=| 3| 9| 16| 667.6533905| 69|00:23:15|-0.01|0.16|0.8965| +|=| 6| 9| 16| 746.6461549| 73|00:23:14|+0.00|0.15|0.8968| +|=| 5| 9| 16| 690.8287526| 77|00:23:15|-0.04|0.09|0.9282| +|=| 9| 9| 16| 669.6306926| 86|00:25:49|-0.01|0.10|0.8947| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 669.6306926 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 27 0.43372 84 89 31 9 41 NA + +# 2023-09-07 20:03:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 27 0.43372 84 89 31 9 41 +4 10 38 0.56451 49 76 70 39 21 +22 9 25 0.69046 62 53 49 10 98 +13 5 13 0.89044 90 80 14 23 79 +17 7 40 0.39055 49 32 20 29 13 +# 2023-09-07 20:03:43 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 178 +# remainingBudget: 322 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 31| 1200.572162| 15|00:36:10| NA| NA| NA| +|x| 1| 15| 4| 750.8434800| 25|00:25:49|+0.00|0.50|1.1281| +|x| 8| 15| 4| 600.5864350| 35|00:25:50|+0.20|0.47|0.8982| +|x| 6| 15| 4| 751.8540315| 45|00:25:49|+0.04|0.28|0.9862| +|=| 7| 15| 4| 844.7180524| 55|00:25:50|-0.01|0.19|1.0226| +|=| 4| 15| 16| 787.1130060| 65|00:25:50|+0.02|0.18|0.9716| +|=| 5| 15| 16| 717.5407104| 75|00:25:49|+0.06|0.20|0.9003| +|=| 9| 15| 16| 690.3538981| 85|00:25:49|+0.06|0.18|0.8889| +|-| 2| 11| 16| 669.2034878| 95|00:25:50|-0.06|0.06|0.9328| +|=| 3| 11| 16| 722.8192143| 101|00:25:49|-0.05|0.05|0.9439| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 722.8192143 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 27 0.43372 84 89 31 9 41 NA + +# 2023-09-08 00:32:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 27 0.43372 84 89 31 9 41 +4 10 38 0.56451 49 76 70 39 21 +31 7 23 0.32015 82 90 66 1 84 +33 7 28 0.68947 74 88 67 22 94 +35 8 23 0.80698 75 74 75 32 36 +# 2023-09-08 00:32:23 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 279 +# remainingBudget: 221 +# currentBudget: 110 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 47| 500.0002850| 14|00:36:10| NA| NA| NA| +|x| 1| 14| 4| 400.0345520| 23|00:20:40|-0.10|0.45|1.1141| +|x| 7| 14| 4| 672.0810800| 32|00:20:40|+0.08|0.38|0.9557| +|x| 2| 14| 4| 629.0686278| 41|00:20:40|+0.13|0.35|0.8444| +|=| 9| 14| 4| 603.2743900| 50|00:20:40|+0.06|0.25|0.8536| +|-| 10| 7| 4| 703.0045927| 59|00:20:39|+0.11|0.26|0.7786| +|=| 6| 7| 4| 774.8120539| 61|00:20:39|+0.13|0.25|0.7563| +|-| 3| 5| 4| 828.1291619| 63|00:20:40|-0.01|0.12|0.8143| +|.| 5| 5| 4| 769.4843082| 63|00:00:00|-0.03|0.08|0.8405| +|.| 4| 5| 4| 742.5460159| 63|00:00:00|-0.02|0.08|0.8325| +|.| 8| 5| 4| 702.3211367| 63|00:00:00|-0.05|0.05|0.8555| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 702.5732480 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 27 0.43372 84 89 31 9 41 NA + +# 2023-09-08 03:33:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 27 0.43372 84 89 31 9 41 +4 10 38 0.56451 49 76 70 39 21 +31 7 23 0.32015 82 90 66 1 84 +33 7 28 0.68947 74 88 67 22 94 +35 8 23 0.80698 75 74 75 32 36 +# 2023-09-08 03:33:13 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 342 +# remainingBudget: 158 +# currentBudget: 158 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 17| 57| 300.0313980| 17|00:41:19| NA| NA| NA| +|x| 8| 17| 57| 300.0384845| 29|00:23:15|+0.37|0.69|0.7833| +|x| 7| 17| 48| 606.5433930| 41|00:23:14|+0.18|0.45|1.0120| +|x| 5| 17| 57| 530.2337420| 53|00:23:14|+0.23|0.42|0.9205| +|-| 11| 12| 48| 523.9661670| 65|00:23:15|-0.10|0.12|1.0533| +|=| 2| 12| 48| 519.9748488| 72|00:23:14|-0.01|0.16|0.9586| +|=| 6| 12| 57| 617.4561890| 79|00:23:14|-0.03|0.11|0.9927| +|=| 9| 12| 57| 602.7802784| 86|00:23:15|-0.02|0.10|0.9724| +|=| 10| 12| 57| 669.2233608| 93|00:23:14|-0.00|0.11|0.9671| +|=| 4| 12| 57| 652.3050240| 100|00:23:15|-0.00|0.10|0.9649| +|=| 3| 12| 57| 702.3893912| 107|00:23:14|+0.01|0.10|0.9623| +|=| 1| 12| 48| 670.1713190| 114|00:23:15|+0.01|0.09|0.9598| +|=| 13| 12| 48| 711.0635377| 126|00:25:49|+0.00|0.08|0.9574| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 711.0635377 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 15 0.42855 67 98 36 29 80 31 + +# 2023-09-08 08:56:08 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 15 0.42855 67 98 36 29 80 +57 9 24 0.48765 88 80 35 6 42 +16 8 27 0.43372 84 89 31 9 41 +4 10 38 0.56451 49 76 70 39 21 +51 9 31 0.50294 100 77 19 14 53 +# 2023-09-08 08:56:08 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 468 +# remainingBudget: 32 +# currentBudget: 32 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 57| 500.0308850| 6|00:25:49| NA| NA| NA| +|x| 8| 6| 57| 400.0382280| 7|00:20:40|+0.89|0.94|0.0746| +|x| 2| 6| 57| 433.3682170| 8|00:20:39|-0.26|0.16|1.0882| +|x| 9| 6| 60| 450.0260430| 9|00:20:40|-0.14|0.14|0.9215| +|=| 3| 6| 48| 600.1587626| 10|00:20:40|-0.13|0.10|0.9470| +|=| 7| 6| 48| 703.3728652| 11|00:20:39|-0.16|0.03|0.9682| +|=| 1| 6| 48| 645.7502909| 12|00:20:40|-0.08|0.07|0.9390| +|=| 10| 6| 48| 715.1960045| 13|00:20:39|-0.07|0.07|0.9329| +|=| 5| 6| 48| 669.0835432| 14|00:20:40|-0.04|0.07|0.8995| +|=| 6| 6| 48| 724.1888621| 15|00:20:39|-0.05|0.06|0.9117| +|=| 11| 6| 48| 703.8095840| 16|00:20:40|-0.05|0.04|0.9047| +|=| 12| 6| 57| 668.8847527| 17|00:20:39|-0.03|0.05|0.8918| +|=| 4| 6| 57| 655.8966942| 18|00:20:39|-0.03|0.05|0.8823| +|=| 13| 6| 48| 695.9918825| 19|00:20:40|-0.04|0.03|0.8823| +|=| 15| 6| 48| 669.5965244| 25|00:25:50|-0.04|0.03|0.8792| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 669.5965244 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 9 15 0.42855 67 98 36 29 80 31 + +# 2023-09-08 14:16:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 15 0.42855 67 98 36 29 80 +57 9 24 0.48765 88 80 35 6 42 +60 8 35 0.46075 100 96 21 14 72 +51 9 31 0.50294 100 77 19 14 53 +4 10 38 0.56451 49 76 70 39 21 +# 2023-09-08 14:16:28 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 526268.8, CPU sys time: 30.069, Wall-clock time: 90678.78 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 9 15 0.42855 67 98 36 29 80 +57 9 24 0.48765 88 80 35 6 42 +60 8 35 0.46075 100 96 21 14 72 +51 9 31 0.50294 100 77 19 14 53 +4 10 38 0.56451 49 76 70 39 21 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +48 -K9 -k15 -M0.42855 -Q67 -G98 -D36 -O29 -L80 +57 -K9 -k24 -M0.48765 -Q88 -G80 -D35 -O6 -L42 +60 -K8 -k35 -M0.46075 -Q100 -G96 -D21 -O14 -L72 +51 -K9 -k31 -M0.50294 -Q100 -G77 -D19 -O14 -L53 +4 -K10 -k38 -M0.56451 -Q49 -G76 -D70 -O39 -L21 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 14:16:28 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-32.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-32.txt new file mode 100644 index 000000000..f54a788f6 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-32.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:38:42 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2093505401 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:38:42 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 1201.893865| 16|00:34:39| NA| NA| NA| +|x| 2| 16| 10| 751.8073655| 32|00:34:39|+0.70|0.85|0.4677| +|x| 3| 16| 10| 667.8863427| 48|00:34:40|+0.51|0.67|0.5138| +|x| 4| 16| 10| 625.9583245| 64|00:34:39|+0.51|0.63|0.4724| +|-| 5| 9| 10| 744.8317678| 80|00:34:40|-0.03|0.18|0.9281| +|=| 6| 9| 10| 670.6988510| 89|00:26:39|+0.02|0.19|0.8508| +|=| 7| 9| 10| 646.3250864| 98|00:26:39|+0.05|0.19|0.8231| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 646.3250864 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 9 4 0.20733 70 74 10 74 80 NA + +# 2023-09-06 20:25:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 9 4 0.20733 70 74 10 74 80 +8 10 13 0.17006 77 17 75 16 67 +13 8 5 0.38319 59 84 74 99 27 +7 8 33 0.99125 52 3 59 83 34 +6 10 20 0.69107 6 55 46 94 37 +# 2023-09-06 20:25:22 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 19| 1201.181989| 16|00:42:39| NA| NA| NA| +|x| 2| 16| 10| 750.6944360| 27|00:26:40|-0.17|0.41|0.9833| +|x| 3| 16| 10| 667.1443897| 38|00:26:39|+0.03|0.35|0.9194| +|x| 7| 16| 10| 625.3789170| 49|00:26:40|-0.04|0.22|0.8648| +|=| 1| 16| 10| 741.0105706| 60|00:26:39|+0.05|0.24|0.8213| +|=| 5| 16| 24| 817.7462218| 71|00:26:40|+0.08|0.23|0.8231| +|=| 4| 16| 24| 772.3544651| 82|00:26:40|+0.09|0.22|0.8368| +|=| 6| 16| 24| 713.3155047| 93|00:26:40|+0.07|0.19|0.8611| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 713.3155047 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 10 20 0.33781 94 85 100 59 8 13 + +# 2023-09-07 00:14:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 10 20 0.33781 94 85 100 59 8 +10 9 4 0.20733 70 74 10 74 80 +26 10 9 0.32036 73 43 81 19 62 +8 10 13 0.17006 77 17 75 16 67 +17 6 12 0.33465 85 11 78 3 10 +# 2023-09-07 00:14:42 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 8| 300.0383570| 15|00:42:41| NA| NA| NA| +|x| 8| 15| 29| 750.3583360| 25|00:26:40|+0.09|0.54|0.6986| +|x| 6| 15| 29| 600.2985193| 35|00:26:40|+0.24|0.50|0.5635| +|x| 2| 15| 10| 525.4270353| 45|00:26:40|-0.10|0.17|0.9051| +|=| 5| 15| 31| 660.5436248| 55|00:26:39|-0.09|0.12|0.9205| +|=| 4| 15| 24| 633.7795227| 65|00:26:39|-0.03|0.14|0.9352| +|=| 3| 15| 24| 614.6704941| 75|00:26:40|-0.01|0.13|0.9520| +|=| 7| 15| 24| 600.3443361| 85|00:26:40|+0.02|0.14|0.9206| +|=| 1| 15| 24| 667.4079787| 95|00:26:39|+0.04|0.15|0.8975| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 667.4079787 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 10 20 0.33781 94 85 100 59 8 13 + +# 2023-09-07 04:30:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 10 20 0.33781 94 85 100 59 8 +36 8 23 0.54303 55 64 47 17 56 +31 6 25 0.21929 41 48 64 29 32 +26 10 9 0.32036 73 43 81 19 62 +10 9 4 0.20733 70 74 10 74 80 +# 2023-09-07 04:30:44 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 26| 300.0556540| 15|00:40:03| NA| NA| NA| +|x| 2| 15| 36| 300.0988045| 25|00:26:40|+0.31|0.66|0.7583| +|x| 5| 15| 36| 600.3829603| 35|00:26:39|+0.37|0.58|0.6972| +|x| 3| 15| 36| 575.3068745| 45|00:26:40|+0.34|0.50|0.6507| +|-| 8| 7| 36| 700.5997734| 55|00:26:39|+0.16|0.33|0.8513| +|=| 9| 7| 24| 633.8088780| 57|00:21:20|+0.10|0.25|0.7863| +|=| 7| 7| 24| 614.7020711| 59|00:21:19|+0.13|0.25|0.7545| +|-| 4| 5| 24| 600.3648029| 61|00:21:20|+0.00|0.12|0.8381| +|.| 1| 5| 24| 667.4261713| 61|00:00:00|-0.01|0.10|0.8357| +|.| 6| 5| 24| 630.6878324| 61|00:00:00|-0.03|0.07|0.8471| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 630.6878324 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 10 20 0.33781 94 85 100 59 8 13 + +# 2023-09-07 08:01:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 10 20 0.33781 94 85 100 59 8 +26 10 9 0.32036 73 43 81 19 62 +36 8 23 0.54303 55 64 47 17 56 +31 6 25 0.21929 41 48 64 29 32 +10 9 4 0.20733 70 74 10 74 80 +# 2023-09-07 08:01:28 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 347 +# remainingBudget: 153 +# currentBudget: 153 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 18| 24| 1200.184455| 18|00:50:39| NA| NA| NA| +|x| 8| 18| 24| 1200.700045| 31|00:29:20|+0.46|0.73|0.4527| +|x| 9| 18| 24| 900.5159537| 44|00:29:21|-0.06|0.29|0.9106| +|x| 7| 18| 24| 800.4022727| 57|00:29:19|+0.11|0.33|0.7733| +|=| 2| 18| 60| 700.9283874| 70|00:29:20|+0.13|0.30|0.7631| +|=| 4| 18| 36| 667.1359618| 83|00:29:19|+0.09|0.24|0.8009| +|=| 10| 18| 58| 615.2266484| 96|00:29:20|+0.09|0.22|0.7759| +|=| 6| 18| 60| 575.6170630| 109|00:29:19|+0.08|0.19|0.7366| +|-| 3| 15| 24| 566.9506043| 122|00:29:19|-0.04|0.07|0.9757| +|=| 5| 15| 24| 630.3145660| 132|00:26:40|-0.00|0.10|0.9583| +|=| 1| 15| 24| 682.4602526| 142|00:26:39|+0.01|0.10|0.9456| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 682.4602526 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 10 20 0.33781 94 85 100 59 8 13 + +# 2023-09-07 13:40:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 10 20 0.33781 94 85 100 59 8 +58 9 19 0.22073 75 29 88 0 58 +36 8 23 0.54303 55 64 47 17 56 +50 9 16 0.12853 85 86 93 51 3 +26 10 9 0.32036 73 43 81 19 62 +# 2023-09-07 13:40:10 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 489 +# timeUsed: 0 +# remainingBudget: 11 +# currentBudget: 11 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 605905.5, CPU sys time: 29.286, Wall-clock time: 75687.43 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 10 20 0.33781 94 85 100 59 8 +58 9 19 0.22073 75 29 88 0 58 +36 8 23 0.54303 55 64 47 17 56 +50 9 16 0.12853 85 86 93 51 3 +26 10 9 0.32036 73 43 81 19 62 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +24 -K10 -k20 -M0.33781 -Q94 -G85 -D100 -O59 -L8 +58 -K9 -k19 -M0.22073 -Q75 -G29 -D88 -O0 -L58 +36 -K8 -k23 -M0.54303 -Q55 -G64 -D47 -O17 -L56 +50 -K9 -k16 -M0.12853 -Q85 -G86 -D93 -O51 -L3 +26 -K10 -k9 -M0.32036 -Q73 -G43 -D81 -O19 -L62 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 13:40:10 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-33.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-33.txt new file mode 100644 index 000000000..6938a56a0 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-33.txt @@ -0,0 +1,245 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 13:40:10 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1727103063 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 13:40:10 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 11| 500.0216160| 16|00:21:59| NA| NA| NA| +|x| 2| 16| 9| 400.0515600| 32|00:22:01|+0.75|0.88|0.3365| +|x| 3| 16| 9| 667.8548010| 48|00:21:59|+0.63|0.75|0.4340| +|x| 4| 16| 11| 625.9285725| 64|00:21:59|+0.68|0.76|0.3854| +|-| 5| 5| 9| 560.7811522| 80|00:22:02|+0.18|0.34|0.4875| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 560.7811522 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 8 13 0.97273 32 19 78 38 94 NA + +# 2023-09-07 15:30:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 8 13 0.97273 32 19 78 38 94 +11 8 19 0.44357 38 26 91 45 54 +2 7 3 0.50672 27 8 20 57 26 +10 8 36 0.30019 3 61 56 54 22 +15 6 15 0.76243 84 66 55 1 88 +# 2023-09-07 15:30:14 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 11| 1200.773576| 18|00:41:14| NA| NA| NA| +|x| 5| 18| 22| 750.7295690| 31|00:27:30|+0.47|0.74|0.4599| +|x| 2| 18| 22| 600.5321430| 44|00:27:30|+0.39|0.59|0.5039| +|x| 4| 18| 11| 575.3640697| 57|00:27:29|+0.39|0.54|0.4903| +|-| 3| 13| 11| 700.9685354| 70|00:27:29|-0.08|0.13|0.9524| +|=| 1| 13| 11| 667.4773822| 78|00:24:44|-0.01|0.16|0.8999| +|=| 7| 13| 11| 643.5636600| 91|00:38:29|+0.01|0.15|0.8847| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 643.5636600 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 19 0.44357 38 26 91 45 54 NA + +# 2023-09-07 19:04:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 19 0.44357 38 26 91 45 54 +9 8 13 0.97273 32 19 78 38 94 +26 8 32 0.64499 25 45 54 69 47 +17 8 7 0.66757 64 1 22 70 17 +22 8 17 0.27909 22 61 100 37 13 +# 2023-09-07 19:04:44 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 171 +# remainingBudget: 329 +# currentBudget: 109 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 36| 300.0796080| 18|00:46:45| NA| NA| NA| +|x| 4| 18| 31| 400.1913025| 31|00:35:44|-0.28|0.36|1.1506| +|x| 5| 18| 42| 366.9273403| 44|00:35:44|-0.01|0.32|0.9754| +|x| 2| 18| 17| 350.1421120| 57|00:35:45|+0.00|0.25|0.9724| +|=| 7| 18| 17| 380.1345272| 70|00:35:44|-0.00|0.20|0.9278| +|=| 6| 18| 17| 518.2251640| 83|00:35:45|+0.04|0.20|0.8593| +|-| 3| 13| 17| 616.4381421| 96|00:35:44|-0.06|0.09|0.9467| +|=| 1| 13| 11| 600.6995716| 104|00:24:45|-0.01|0.12|0.9036| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 11 mean value: 600.6995716 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +11 11 8 19 0.44357 38 26 91 45 54 NA + +# 2023-09-07 23:50:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +11 8 19 0.44357 38 26 91 45 54 +42 9 10 0.54229 37 47 81 38 51 +36 9 4 0.15733 43 16 79 3 12 +31 9 39 0.44124 44 13 56 51 29 +17 8 7 0.66757 64 1 22 70 17 +# 2023-09-07 23:50:44 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 47| 1200.137678| 16|00:49:29| NA| NA| NA| +|x| 5| 16| 44| 751.9458055| 27|00:27:30|+0.08|0.54|1.0345| +|x| 7| 16| 42| 667.9180453| 38|00:27:29|-0.05|0.30|1.0372| +|x| 6| 16| 50| 805.3655405| 49|00:27:29|-0.13|0.15|1.0998| +|=| 8| 16| 44| 704.9963570| 60|00:27:31|-0.15|0.08|1.0739| +|=| 1| 16| 44| 670.8410597| 71|00:27:29|-0.13|0.06|1.0409| +|=| 3| 16| 42| 744.6314961| 82|00:27:29|-0.07|0.09|0.9819| +|=| 4| 16| 42| 714.0548409| 93|00:27:29|-0.01|0.12|0.9317| +|=| 2| 16| 50| 669.9743571| 104|00:27:30|-0.00|0.11|0.9159| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 669.9743571 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 8 30 0.31067 50 15 75 41 71 11 + +# 2023-09-08 04:20:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 8 30 0.31067 50 15 75 41 71 +42 9 10 0.54229 37 47 81 38 51 +11 8 19 0.44357 38 26 91 45 54 +36 9 4 0.15733 43 16 79 3 12 +44 8 11 0.37673 66 77 82 48 39 +# 2023-09-08 04:20:15 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 50| 1201.094973| 16|00:49:29| NA| NA| NA| +|x| 3| 16| 36| 1206.251170| 27|00:27:30|+0.25|0.63|0.8490| +|x| 9| 16| 36| 1205.743318| 38|00:27:29|-0.03|0.31|0.9757| +|x| 2| 16| 36| 979.3464327| 49|00:27:30|+0.12|0.34|0.8387| +|=| 7| 16| 36| 883.4861220| 60|00:27:29|+0.04|0.23|0.8932| +|=| 6| 16| 50| 938.2737287| 71|00:27:29|+0.07|0.22|0.8623| +|=| 8| 16| 36| 848.5249710| 82|00:27:30|+0.01|0.15|0.9501| +|=| 1| 16| 36| 804.9620534| 93|00:27:29|+0.04|0.16|0.9062| +|=| 5| 16| 36| 748.9531240| 104|00:27:30|+0.05|0.15|0.9112| +|=| 4| 16| 36| 724.0680598| 115|00:27:29|+0.06|0.16|0.9029| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 724.0680598 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 9 4 0.15733 43 16 79 3 12 22 + +# 2023-09-08 09:17:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 4 0.15733 43 16 79 3 12 +50 8 30 0.31067 50 15 75 41 71 +44 8 11 0.37673 66 77 82 48 39 +42 9 10 0.54229 37 47 81 38 51 +63 10 7 0.45922 38 76 82 43 45 +# 2023-09-08 09:17:15 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 596794.8, CPU sys time: 34.27, Wall-clock time: 70624.61 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 9 4 0.15733 43 16 79 3 12 +50 8 30 0.31067 50 15 75 41 71 +44 8 11 0.37673 66 77 82 48 39 +42 9 10 0.54229 37 47 81 38 51 +63 10 7 0.45922 38 76 82 43 45 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +36 -K9 -k4 -M0.15733 -Q43 -G16 -D79 -O3 -L12 +50 -K8 -k30 -M0.31067 -Q50 -G15 -D75 -O41 -L71 +44 -K8 -k11 -M0.37673 -Q66 -G77 -D82 -O48 -L39 +42 -K9 -k10 -M0.54229 -Q37 -G47 -D81 -O38 -L51 +63 -K10 -k7 -M0.45922 -Q38 -G76 -D82 -O43 -L45 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 09:17:15 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-34.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-34.txt new file mode 100644 index 000000000..f2bbd7d0a --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-34.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:40:23 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 828853681 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:40:23 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.0790610| 16|00:33:59| NA| NA| NA| +|x| 2| 16| 15| 750.6744830| 32|00:33:59|+0.72|0.86|0.4552| +|x| 3| 16| 15| 667.1223013| 48|00:34:00|+0.76|0.84|0.3898| +|x| 4| 16| 4| 810.2601270| 64|00:33:59|+0.68|0.76|0.4709| +|-| 5| 7| 15| 744.6025942| 80|00:34:00|-0.07|0.15|0.9315| +|=| 6| 7| 7| 673.1141225| 87|00:28:20|-0.13|0.06|0.9485| +|=| 7| 7| 7| 648.3845003| 94|00:28:19|-0.05|0.10|0.8837| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 648.3845003 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 9 32 0.68728 40 23 41 7 22 NA + +# 2023-09-06 20:27:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 9 32 0.68728 40 23 41 7 22 +15 10 31 0.75045 64 59 90 43 47 +3 8 8 0.57661 49 52 99 83 68 +4 7 27 0.25425 88 91 18 82 88 +5 4 39 0.31894 78 52 43 21 77 +# 2023-09-06 20:27:03 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 4| 300.0978530| 17|00:45:20| NA| NA| NA| +|x| 3| 17| 4| 400.0554005| 29|00:28:19|+0.36|0.68|0.6993| +|x| 2| 17| 15| 667.1467093| 41|00:28:19|+0.26|0.50|0.7001| +|x| 6| 17| 15| 575.4523283| 53|00:28:20|+0.14|0.35|0.6251| +|-| 7| 10| 18| 561.3806734| 65|00:28:19|-0.02|0.19|0.9562| +|=| 5| 10| 15| 550.3059983| 70|00:28:19|+0.04|0.20|0.8860| +|=| 4| 10| 18| 643.9422600| 75|00:28:20|+0.01|0.15|0.8784| +|=| 1| 10| 18| 600.9631159| 80|00:28:20|+0.07|0.18|0.8415| +|=| 9| 10| 18| 669.7964664| 90|00:28:19|+0.02|0.13|0.8868| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 669.7964664 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 10 9 0.95346 75 1 34 4 0 7 + +# 2023-09-07 00:59:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 10 9 0.95346 75 1 34 4 0 +7 9 32 0.68728 40 23 41 7 22 +15 10 31 0.75045 64 59 90 43 47 +3 8 8 0.57661 49 52 99 83 68 +4 7 27 0.25425 88 91 18 82 88 +# 2023-09-07 00:59:03 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 32| 300.0519010| 15|00:39:39| NA| NA| NA| +|x| 3| 15| 15| 400.0417180| 25|00:28:19|-0.07|0.46|0.9644| +|x| 8| 15| 4| 366.7423940| 35|00:28:20|+0.23|0.49|0.7484| +|x| 2| 15| 15| 575.3764065| 45|00:28:19|+0.13|0.35|0.8988| +|-| 5| 8| 15| 560.3050436| 55|00:28:19|+0.03|0.22|0.9032| +|=| 7| 8| 15| 550.2553838| 58|00:25:29|+0.03|0.19|0.8390| +|=| 9| 8| 15| 646.0190563| 61|00:25:30|-0.07|0.08|0.9039| +|=| 1| 8| 15| 602.7809517| 64|00:25:30|-0.10|0.03|0.9315| +|=| 4| 8| 18| 669.8420860| 67|00:25:30|-0.09|0.03|0.9234| +|=| 6| 8| 33| 634.5638923| 70|00:25:30|-0.05|0.06|0.8809| +|=| 11| 8| 33| 622.3366142| 78|00:28:19|-0.01|0.08|0.8472| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 622.3366142 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 9 41 0.52641 86 20 78 33 53 7 + +# 2023-09-07 06:07:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 9 41 0.52641 86 20 78 33 53 +31 8 33 0.79797 64 0 55 11 22 +18 10 9 0.95346 75 1 34 4 0 +7 9 32 0.68728 40 23 41 7 22 +15 10 31 0.75045 64 59 90 43 47 +# 2023-09-07 06:07:53 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 262 +# remainingBudget: 238 +# currentBudget: 119 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 45| 1200.221214| 14|00:48:09| NA| NA| NA| +|x| 9| 14| 41| 1200.553645| 23|00:28:20|+0.33|0.66|0.7199| +|x| 8| 14| 40| 906.9425567| 32|00:28:20|+0.12|0.41|0.8518| +|x| 10| 14| 40| 755.2118562| 41|00:28:19|+0.06|0.29|0.9364| +|=| 11| 14| 40| 704.1827418| 50|00:28:20|+0.02|0.22|0.9644| +|=| 7| 14| 7| 667.4393587| 59|00:28:20|-0.02|0.15|1.0125| +|=| 5| 14| 40| 645.8737334| 68|00:28:19|+0.05|0.19|0.9510| +|=| 6| 14| 40| 602.6423298| 77|00:28:20|+0.09|0.20|0.9021| +|=| 2| 14| 40| 669.8249111| 86|00:28:20|+0.05|0.16|0.9183| +|=| 1| 14| 40| 632.8622108| 95|00:28:20|+0.04|0.13|0.9053| +|=| 3| 14| 40| 620.7858037| 104|00:28:20|+0.02|0.11|0.9105| +|=| 4| 14| 40| 669.2079804| 113|00:28:19|+0.00|0.09|0.9335| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 669.2079804 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 10 39 0.60624 42 15 21 13 44 31 + +# 2023-09-07 12:07:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 10 39 0.60624 42 15 21 13 44 +31 8 33 0.79797 64 0 55 11 22 +45 10 24 0.67465 51 18 2 17 57 +18 10 9 0.95346 75 1 34 4 0 +7 9 32 0.68728 40 23 41 7 22 +# 2023-09-07 12:07:43 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 375 +# remainingBudget: 125 +# currentBudget: 125 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 55| 1200.441703| 14|00:48:09| NA| NA| NA| +|x| 2| 14| 18| 1204.444233| 23|00:28:20|-0.15|0.42|0.8391| +|x| 8| 14| 18| 903.0011657| 32|00:28:20|+0.03|0.36|0.8666| +|x| 9| 14| 18| 982.3666920| 41|00:28:19|-0.09|0.19|0.9852| +|=| 11| 14| 55| 888.4688616| 50|00:28:20|-0.09|0.13|0.9844| +|=| 12| 14| 48| 939.7910268| 59|00:28:19|-0.11|0.08|0.9961| +|=| 10| 14| 48| 848.3980200| 68|00:28:20|-0.05|0.10|0.9569| +|=| 5| 14| 40| 806.0976137| 77|00:28:19|-0.01|0.12|0.9246| +|=| 4| 14| 40| 850.0703149| 86|00:28:19|+0.00|0.12|0.8985| +|=| 6| 14| 40| 795.0655338| 95|00:28:20|+0.04|0.14|0.8756| +|=| 7| 14| 40| 768.2590831| 104|00:28:19|+0.02|0.11|0.9219| +|=| 3| 14| 40| 745.9059706| 113|00:28:20|+0.02|0.11|0.9036| +|=| 1| 14| 40| 711.6207350| 122|00:28:20|+0.01|0.09|0.9181| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 40 mean value: 711.6207350 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +40 40 10 39 0.60624 42 15 21 13 44 31 + +# 2023-09-07 18:35:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 10 39 0.60624 42 15 21 13 44 +54 10 26 0.83738 75 8 17 9 36 +18 10 9 0.95346 75 1 34 4 0 +48 9 27 0.69482 66 31 44 40 16 +55 10 13 0.54790 46 28 12 8 26 +# 2023-09-07 18:35:53 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 648325.8, CPU sys time: 25.891, Wall-clock time: 93329.88 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +40 10 39 0.60624 42 15 21 13 44 +54 10 26 0.83738 75 8 17 9 36 +18 10 9 0.95346 75 1 34 4 0 +48 9 27 0.69482 66 31 44 40 16 +55 10 13 0.54790 46 28 12 8 26 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +40 -K10 -k39 -M0.60624 -Q42 -G15 -D21 -O13 -L44 +54 -K10 -k26 -M0.83738 -Q75 -G8 -D17 -O9 -L36 +18 -K10 -k9 -M0.95346 -Q75 -G1 -D34 -O4 -L0 +48 -K9 -k27 -M0.69482 -Q66 -G31 -D44 -O40 -L16 +55 -K10 -k13 -M0.5479 -Q46 -G28 -D12 -O8 -L26 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 18:35:53 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-35.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-35.txt new file mode 100644 index 000000000..a40fc01ec --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-35.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 18:35:53 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 288432169 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 18:35:53 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 500.0294730| 16|00:34:59| NA| NA| NA| +|x| 2| 16| 11| 400.0899195| 32|00:35:00|+0.69|0.84|0.1514| +|x| 3| 16| 16| 666.8527317| 48|00:34:59|+0.34|0.56|0.4537| +|x| 4| 16| 16| 801.1677543| 64|00:34:59|+0.40|0.55|0.5139| +|-| 5| 9| 14| 700.7677964| 80|00:35:00|-0.07|0.14|0.9502| +|=| 6| 9| 14| 667.3095807| 89|00:29:10|+0.00|0.17|0.8723| +|=| 7| 9| 14| 643.4169219| 98|00:29:10|+0.01|0.15|0.8733| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 643.4169219 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 8 21 0.93333 60 42 74 4 6 NA + +# 2023-09-07 22:29:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 8 21 0.93333 60 42 74 4 6 +2 10 44 0.29172 24 14 20 40 6 +7 8 38 0.92374 77 38 25 80 6 +11 10 20 0.63618 54 51 33 34 64 +16 8 13 0.25878 67 14 38 14 98 +# 2023-09-07 22:29:13 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 20| 1202.334538| 16|00:40:49| NA| NA| NA| +|x| 3| 16| 7| 1201.904565| 27|00:29:09|-0.08|0.46|1.0422| +|x| 7| 16| 14| 968.6442577| 38|00:29:10|+0.11|0.40|0.7812| +|x| 5| 16| 14| 801.5126257| 49|00:29:10|+0.19|0.39|0.6585| +|-| 1| 12| 14| 741.2246334| 60|00:29:09|-0.17|0.07|1.0766| +|=| 6| 12| 14| 701.0236115| 67|00:29:09|-0.11|0.07|1.0058| +|=| 2| 12| 27| 646.8184324| 74|00:29:10|-0.11|0.05|1.0131| +|=| 4| 12| 14| 713.3980592| 81|00:29:09|-0.08|0.05|1.0059| +|=| 9| 12| 14| 667.4937558| 93|00:29:10|-0.06|0.06|0.9915| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 667.4937558 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 8 21 0.93333 60 42 74 4 6 NA + +# 2023-09-08 03:03:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 8 21 0.93333 60 42 74 4 6 +21 9 30 0.64754 71 30 42 57 40 +2 10 44 0.29172 24 14 20 40 6 +26 7 45 0.70703 49 26 90 66 5 +7 8 38 0.92374 77 38 25 80 6 +# 2023-09-08 03:03:23 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 30| 300.0262360| 14|00:40:49| NA| NA| NA| +|x| 3| 14| 7| 750.3057715| 23|00:29:10|-0.52|0.24|1.2869| +|x| 9| 14| 7| 600.2514040| 32|00:29:10|-0.04|0.30|0.9340| +|x| 2| 14| 7| 525.2231222| 41|00:29:09|+0.01|0.26|0.9821| +|=| 6| 14| 7| 520.1888608| 50|00:29:09|+0.04|0.23|0.9128| +|=| 5| 14| 33| 484.1034395| 59|00:29:10|+0.06|0.21|0.8984| +|=| 4| 14| 33| 586.6331391| 68|00:29:09|+0.08|0.21|0.9033| +|=| 1| 14| 33| 575.8066624| 77|00:29:09|+0.05|0.17|0.9207| +|=| 7| 14| 33| 567.3980151| 86|00:29:10|+0.03|0.13|0.9288| +|=| 8| 14| 32| 630.5054898| 95|00:29:10|+0.05|0.14|0.9033| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 630.5054898 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 28 0.58343 71 50 36 77 15 7 + +# 2023-09-08 08:06:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 28 0.58343 71 50 36 77 15 +14 8 21 0.93333 60 42 74 4 6 +33 9 26 0.90500 57 50 81 7 71 +2 10 44 0.29172 24 14 20 40 6 +21 9 30 0.64754 71 30 42 57 40 +# 2023-09-08 08:06:43 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 44| 1201.905395| 14|00:46:39| NA| NA| NA| +|x| 9| 14| 44| 750.9947475| 23|00:29:09|-0.01|0.49|0.8852| +|x| 6| 14| 41| 673.6070070| 32|00:29:10|-0.17|0.22|1.0460| +|x| 3| 14| 41| 810.3057273| 41|00:29:09|-0.02|0.23|1.0631| +|=| 4| 14| 41| 888.2765752| 50|00:29:09|+0.01|0.21|0.9787| +|=| 1| 14| 41| 823.5762477| 59|00:29:10|+0.06|0.22|0.8965| +|=| 2| 14| 44| 746.6286479| 68|00:29:10|+0.09|0.22|0.8457| +|-| 5| 10| 44| 690.8046686| 77|00:29:09|-0.02|0.10|0.9087| +|=| 7| 10| 44| 669.6083282| 82|00:29:10|-0.03|0.08|0.9349| +|=| 8| 10| 32| 722.5391501| 87|00:29:09|-0.05|0.06|0.9549| +|=| 10| 10| 44| 686.1638206| 92|00:29:10|-0.06|0.04|0.9587| +|=| 12| 10| 32| 668.8279326| 102|00:29:10|-0.06|0.03|0.9637| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 668.8279326 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 28 0.58343 71 50 36 77 15 7 + +# 2023-09-08 14:14:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 28 0.58343 71 50 36 77 15 +44 9 36 0.23122 33 44 70 54 6 +33 9 26 0.90500 57 50 81 7 71 +14 8 21 0.93333 60 42 74 4 6 +41 8 40 0.63523 69 25 74 63 45 +# 2023-09-08 14:14:13 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 53| 500.0007860| 13|00:40:49| NA| NA| NA| +|x| 9| 13| 46| 400.0548660| 21|00:29:10|+0.12|0.56|0.5755| +|x| 2| 13| 46| 366.7176663| 29|00:29:10|+0.13|0.42|0.7785| +|x| 4| 13| 44| 576.0550158| 37|00:29:09|+0.03|0.27|0.9095| +|=| 3| 13| 44| 704.8992022| 45|00:29:09|-0.02|0.18|0.8845| +|=| 7| 13| 44| 670.7556027| 53|00:29:10|-0.05|0.13|0.9420| +|=| 6| 13| 44| 646.3728277| 61|00:29:10|-0.01|0.13|0.9297| +|=| 8| 13| 32| 713.0713377| 69|00:29:09|-0.00|0.12|0.9028| +|=| 1| 13| 49| 695.7765243| 77|00:29:10|-0.00|0.11|0.9116| +|=| 10| 13| 49| 656.2033029| 85|00:29:10|-0.01|0.09|0.9270| +|=| 5| 13| 44| 622.3613994| 93|00:29:10|+0.00|0.09|0.8999| +|=| 11| 13| 44| 670.6567323| 101|00:29:09|-0.01|0.08|0.9210| +|=| 12| 13| 44| 657.5396032| 109|00:29:10|-0.02|0.06|0.9370| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 657.5396032 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 9 36 0.23122 33 44 70 54 6 2 + +# 2023-09-08 20:45:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 9 36 0.23122 33 44 70 54 6 +49 8 32 0.47300 65 68 13 46 23 +46 10 26 0.52255 70 80 30 64 8 +52 9 30 0.58316 62 46 84 23 88 +53 9 21 0.90686 67 53 88 13 81 +# 2023-09-08 20:45:03 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 656885.2, CPU sys time: 31.402, Wall-clock time: 94149.32 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 9 36 0.23122 33 44 70 54 6 +49 8 32 0.47300 65 68 13 46 23 +46 10 26 0.52255 70 80 30 64 8 +52 9 30 0.58316 62 46 84 23 88 +53 9 21 0.90686 67 53 88 13 81 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +44 -K9 -k36 -M0.23122 -Q33 -G44 -D70 -O54 -L6 +49 -K8 -k32 -M0.473 -Q65 -G68 -D13 -O46 -L23 +46 -K10 -k26 -M0.52255 -Q70 -G80 -D30 -O64 -L8 +52 -K9 -k30 -M0.58316 -Q62 -G46 -D84 -O23 -L88 +53 -K9 -k21 -M0.90686 -Q67 -G53 -D88 -O13 -L81 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 20:45:03 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-36.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-36.txt new file mode 100644 index 000000000..fdcc2c425 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-36.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:42:35 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 616193696 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:42:35 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 500.0362840| 16|00:29:59| NA| NA| NA| +|x| 2| 16| 14| 851.0433865| 32|00:29:59|+0.36|0.68|0.5850| +|x| 3| 16| 12| 667.6325113| 48|00:30:01|+0.47|0.65|0.4282| +|x| 4| 16| 12| 625.7294445| 64|00:29:59|+0.49|0.62|0.4435| +|-| 5| 8| 12| 560.6123034| 80|00:30:03|-0.10|0.12|0.9502| +|=| 6| 8| 12| 667.2536590| 88|00:26:59|+0.00|0.17|0.8640| +|=| 7| 8| 12| 746.2554047| 96|00:26:59|+0.09|0.22|0.8052| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 746.2554047 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 7 30 0.70776 52 37 84 7 0 NA + +# 2023-09-06 20:06:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 7 30 0.70776 52 37 84 7 0 +1 7 21 0.28499 86 57 3 38 92 +14 9 7 0.82454 18 16 38 85 83 +15 7 24 0.72907 33 59 37 46 12 +10 5 13 0.24219 56 51 44 5 1 +# 2023-09-06 20:06:39 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 1| 300.1306420| 17|00:39:03| NA| NA| NA| +|x| 3| 17| 1| 300.0940460| 29|00:29:59|+0.87|0.93|0.1523| +|x| 1| 17| 17| 366.7715550| 41|00:30:00|+0.66|0.78|0.2898| +|x| 2| 17| 1| 575.7972710| 53|00:29:59|+0.40|0.55|0.5277| +|-| 7| 11| 1| 702.0674838| 65|00:30:00|+0.01|0.21|0.9290| +|=| 6| 11| 1| 785.1460853| 71|00:29:59|+0.07|0.22|0.9166| +|=| 5| 11| 1| 715.8682923| 77|00:30:00|+0.06|0.19|0.9079| +|=| 4| 11| 1| 688.8911198| 83|00:29:59|+0.09|0.20|0.8908| +|=| 9| 11| 1| 667.9178454| 94|00:29:59|+0.03|0.14|0.9080| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 1 mean value: 667.9178454 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +1 1 7 21 0.28499 86 57 3 38 92 NA + +# 2023-09-07 00:45:42 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +1 7 21 0.28499 86 57 3 38 92 +12 7 30 0.70776 52 37 84 7 0 +26 10 11 0.89742 43 43 52 54 83 +17 6 35 0.21567 89 73 66 27 97 +22 7 9 0.90777 27 62 30 9 12 +# 2023-09-07 00:45:42 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 190 +# remainingBudget: 310 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 37| 300.0698480| 14|00:44:59| NA| NA| NA| +|x| 3| 14| 12| 300.1011950| 23|00:27:00|-0.17|0.42|0.9113| +|x| 9| 14| 26| 366.7951847| 32|00:26:59|-0.00|0.33|0.9503| +|x| 8| 14| 29| 350.1218320| 41|00:26:59|+0.08|0.31|0.8360| +|=| 7| 14| 26| 521.1845410| 50|00:27:00|+0.09|0.27|0.8352| +|=| 1| 14| 29| 520.3520565| 59|00:26:59|+0.05|0.21|0.8547| +|=| 4| 14| 12| 517.2794080| 68|00:27:00|+0.03|0.17|0.8914| +|=| 2| 14| 12| 602.9572145| 77|00:27:00|+0.01|0.14|0.8918| +|=| 6| 14| 12| 669.3464614| 86|00:26:59|+0.05|0.15|0.8676| +|=| 5| 14| 12| 632.4261892| 95|00:27:00|+0.07|0.17|0.8622| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 632.4261892 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 7 30 0.70776 52 37 84 7 0 NA + +# 2023-09-07 05:33:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 7 30 0.70776 52 37 84 7 0 +1 7 21 0.28499 86 57 3 38 92 +26 10 11 0.89742 43 43 52 54 83 +30 9 25 0.58612 90 51 34 23 65 +34 6 32 0.62489 80 65 7 71 91 +# 2023-09-07 05:33:43 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 30| 1200.105655| 14|00:44:59| NA| NA| NA| +|x| 8| 14| 39| 750.1659430| 23|00:30:00|+0.09|0.55|1.0226| +|x| 6| 14| 39| 900.2565317| 32|00:29:59|+0.17|0.44|0.9220| +|x| 5| 14| 39| 750.2300387| 41|00:29:59|+0.04|0.28|0.9321| +|=| 4| 14| 39| 700.2091164| 50|00:29:59|+0.10|0.28|0.9274| +|=| 10| 14| 39| 633.5562322| 59|00:30:02|+0.07|0.23|0.9169| +|=| 2| 14| 42| 720.3117800| 68|00:30:00|+0.02|0.16|0.9151| +|=| 9| 14| 42| 692.7777485| 77|00:29:59|+0.09|0.21|0.8828| +|-| 3| 9| 42| 649.1445597| 86|00:29:59|-0.04|0.08|0.9632| +|=| 7| 9| 44| 700.5299063| 90|00:29:59|-0.06|0.05|0.9624| +|=| 1| 9| 39| 683.9560003| 94|00:30:00|-0.05|0.04|0.9463| +|=| 12| 9| 44| 667.1176843| 103|00:29:59|-0.04|0.05|0.9479| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 667.1176843 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 10 29 0.78115 73 60 57 22 64 30 + +# 2023-09-07 11:48:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 10 29 0.78115 73 60 57 22 64 +42 9 10 0.54784 75 16 40 45 70 +39 10 37 0.41453 73 54 2 44 71 +12 7 30 0.70776 52 37 84 7 0 +30 9 25 0.58612 90 51 34 23 65 +# 2023-09-07 11:48:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 39| 300.0402480| 13|00:48:02| NA| NA| NA| +|x| 6| 13| 39| 750.2389785| 21|00:29:59|+0.26|0.63|0.5697| +|x| 2| 13| 44| 901.3042650| 29|00:29:59|-0.03|0.32|0.8970| +|x| 11| 13| 39| 980.5110972| 37|00:30:00|+0.06|0.29|0.8527| +|=| 7| 13| 44| 1020.860384| 45|00:30:00|+0.05|0.24|0.9161| +|=| 3| 13| 44| 900.7312757| 53|00:30:00|+0.03|0.19|0.9162| +|=| 10| 13| 44| 814.9661517| 61|00:29:59|-0.03|0.11|0.9471| +|=| 9| 13| 44| 775.5992739| 69|00:29:59|-0.02|0.11|0.9560| +|=| 1| 13| 39| 747.0198199| 77|00:29:59|+0.02|0.12|0.9162| +|=| 8| 13| 39| 702.3280264| 85|00:30:00|-0.02|0.09|0.9324| +|=| 5| 13| 39| 665.7664385| 93|00:30:02|-0.04|0.06|0.9508| +|=| 4| 13| 39| 651.9630209| 101|00:29:59|-0.03|0.06|0.9557| +|=| 12| 13| 44| 638.8852266| 109|00:30:00|-0.01|0.07|0.9483| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 638.8852266 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 10 29 0.78115 73 60 57 22 64 30 + +# 2023-09-07 18:36:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 10 29 0.78115 73 60 57 22 64 +47 10 39 0.57996 81 29 6 31 79 +42 9 10 0.54784 75 16 40 45 70 +39 10 37 0.41453 73 54 2 44 71 +30 9 25 0.58612 90 51 34 23 65 +# 2023-09-07 18:36:49 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 648013.4, CPU sys time: 28.433, Wall-clock time: 93254.06 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 10 29 0.78115 73 60 57 22 64 +47 10 39 0.57996 81 29 6 31 79 +42 9 10 0.54784 75 16 40 45 70 +39 10 37 0.41453 73 54 2 44 71 +30 9 25 0.58612 90 51 34 23 65 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +44 -K10 -k29 -M0.78115 -Q73 -G60 -D57 -O22 -L64 +47 -K10 -k39 -M0.57996 -Q81 -G29 -D6 -O31 -L79 +42 -K9 -k10 -M0.54784 -Q75 -G16 -D40 -O45 -L70 +39 -K10 -k37 -M0.41453 -Q73 -G54 -D2 -O44 -L71 +30 -K9 -k25 -M0.58612 -Q90 -G51 -D34 -O23 -L65 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 18:36:49 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-37.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-37.txt new file mode 100644 index 000000000..febd0dfff --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-37.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-01 17:36:26 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 143986267 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-01 17:36:26 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 1201.705556| 16|00:30:40| NA| NA| NA| +|x| 2| 16| 14| 750.8527780| 32|00:36:59|+0.13|0.57|0.8186| +|x| 3| 16| 2| 667.2692457| 48|00:36:18|+0.24|0.50|0.7497| +|x| 4| 16| 2| 575.4519343| 64|00:37:00|+0.28|0.46|0.6363| +|-| 5| 10| 2| 560.3653058| 80|00:36:21|-0.10|0.12|0.6369| +|=| 6| 10| 2| 667.4157585| 90|00:25:26|+0.01|0.18|0.6677| +|=| 7| 10| 14| 743.3948806| 100|00:25:38|+0.01|0.15|0.7088| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 743.3948806 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 93 0.68687 35 36 75 17 65 NA + +# 2023-09-01 21:24:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 93 0.68687 35 36 75 17 65 +2 8 10 0.52313 96 70 39 30 31 +7 8 70 0.29336 59 16 42 37 12 +5 9 7 0.60742 100 76 100 30 62 +4 6 72 0.76307 78 82 56 46 16 +# 2023-09-01 21:24:51 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 14| 500.0019810| 16|00:45:25| NA| NA| NA| +|x| 1| 16| 14| 850.8537685| 27|00:25:16|+0.44|0.72|0.7148| +|x| 4| 16| 14| 667.2358457| 38|00:27:45|+0.22|0.48|0.5508| +|x| 6| 16| 14| 800.5259468| 49|00:25:36|+0.34|0.51|0.5644| +|-| 7| 8| 14| 880.7282304| 60|00:25:03|+0.04|0.23|0.7468| +|=| 5| 8| 14| 817.2786143| 63|00:23:57|+0.01|0.18|0.8131| +|=| 3| 8| 14| 771.9665921| 66|00:24:13|-0.05|0.10|0.8293| +|=| 2| 8| 14| 712.9707681| 69|00:24:39|-0.04|0.09|0.7157| +|=| 9| 8| 14| 667.0851272| 77|00:30:49|-0.03|0.08|0.6296| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 667.0851272 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 10 93 0.68687 35 36 75 17 65 NA + +# 2023-09-02 01:37:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 10 93 0.68687 35 36 75 17 65 +27 8 45 0.78187 90 41 45 79 63 +7 8 70 0.29336 59 16 42 37 12 +23 6 48 0.29451 95 81 39 63 95 +2 8 10 0.52313 96 70 39 30 31 +# 2023-09-02 01:37:39 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 177 +# remainingBudget: 323 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 23| 500.0004700| 15|00:45:05| NA| NA| NA| +|x| 4| 15| 23| 400.0002350| 25|00:30:49|+0.00|0.50|0.4667| +|x| 1| 15| 23| 667.5109753| 35|00:24:29|+0.09|0.39|0.5521| +|x| 3| 15| 32| 625.3237413| 45|00:30:33|+0.12|0.34|0.6968| +|=| 6| 15| 32| 744.1789242| 55|00:24:48|+0.00|0.20|0.8006| +|=| 8| 15| 36| 705.6296732| 65|00:30:36|+0.07|0.23|0.7891| +|-| 5| 10| 36| 676.2540057| 75|00:30:28|-0.08|0.07|0.8655| +|=| 7| 10| 36| 744.4467496| 80|00:23:06|-0.07|0.06|0.8752| +|=| 9| 10| 36| 695.0637774| 85|00:30:50|-0.06|0.05|0.7682| +|=| 2| 10| 36| 655.5573997| 90|00:30:50|-0.06|0.05|0.6846| +|=| 11| 10| 31| 702.3798916| 100|00:26:33|-0.05|0.05|0.6998| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 702.3798916 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 7 106 0.67993 57 18 73 40 43 14 + +# 2023-09-02 07:05:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 7 106 0.67993 57 18 73 40 43 +23 6 48 0.29451 95 81 39 63 95 +32 5 63 0.23909 63 26 7 15 7 +36 10 49 0.54752 57 16 72 71 83 +7 8 70 0.29336 59 16 42 37 12 +# 2023-09-02 07:05:52 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 31| 300.0000000| 13|00:30:49| NA| NA| NA| +|x| 8| 13| 36| 400.0001595| 21|00:27:23|+0.50|0.75|0.5892| +|x| 9| 13| 36| 366.6667730| 29|00:27:44|+0.25|0.50|0.5041| +|x| 1| 13| 31| 575.2853822| 37|00:23:06|+0.20|0.40|0.5510| +|=| 6| 13| 31| 704.4044530| 45|00:22:41|-0.02|0.18|0.7363| +|=| 7| 13| 31| 787.6199683| 53|00:22:25|+0.03|0.19|0.7589| +|=| 4| 13| 31| 717.9599729| 61|00:27:44|+0.03|0.17|0.6519| +|=| 5| 13| 31| 690.7149903| 69|00:27:25|+0.08|0.20|0.6469| +|=| 10| 13| 23| 669.5333179| 77|00:27:23|+0.07|0.18|0.6573| +|-| 11| 9| 31| 722.6130824| 85|00:23:30|-0.02|0.09|0.6472| +|=| 2| 9| 31| 684.1937113| 89|00:27:44|-0.01|0.08|0.5861| +|=| 3| 9| 32| 669.1440409| 93|00:27:23|+0.03|0.11|0.5954| +|=| 13| 9| 31| 655.8599124| 102|00:30:29|+0.06|0.13|0.5919| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 655.8599124 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 7 106 0.67993 57 18 73 40 43 14 + +# 2023-09-02 12:51:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +36 10 49 0.54752 57 16 72 71 83 +23 6 48 0.29451 95 81 39 63 95 +41 9 104 0.90281 57 34 72 60 28 +# 2023-09-02 12:51:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 13| 31| 300.0000000| 13|00:30:49| NA| NA| NA| +|x| 6| 13| 36| 756.4242930| 21|00:19:14|-0.06|0.47|0.8977| +|x| 9| 13| 36| 604.2828620| 29|00:24:39|+0.10|0.40|0.5984| +|x| 8| 13| 36| 578.2122262| 37|00:24:25|-0.05|0.21|0.7956| +|=| 2| 13| 36| 522.5697810| 45|00:24:39|-0.00|0.20|0.6789| +|=| 12| 13| 36| 485.4748175| 53|00:24:39|+0.05|0.21|0.5870| +|=| 5| 13| 36| 487.5498437| 61|00:24:25|+0.01|0.15|0.7273| +|=| 1| 13| 36| 579.2215476| 69|00:19:20|+0.02|0.14|0.8031| +|=| 10| 13| 36| 570.4192272| 77|00:24:25|+0.05|0.16|0.8141| +|-| 13| 8| 36| 563.3773045| 85|00:24:26|-0.06|0.05|0.8668| +|=| 7| 8| 36| 623.2335456| 88|00:16:38|-0.07|0.02|0.8582| +|=| 11| 8| 31| 668.8442398| 91|00:16:53|-0.06|0.03|0.8815| +|=| 3| 8| 31| 655.8599124| 94|00:21:33|-0.06|0.02|0.9007| +|=| 4| 8| 31| 630.4413472| 97|00:21:35|-0.06|0.02|0.8731| +|=| 15| 8| 36| 671.7750182| 105|00:23:57|-0.05|0.02|0.8846| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 671.7750182 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 10 49 0.54752 57 16 72 71 83 14 + +# 2023-09-02 18:33:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 49 0.54752 57 16 72 71 83 +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +51 7 49 0.59270 62 29 2 36 10 +50 7 68 0.44031 55 35 24 43 12 +# 2023-09-02 18:33:31 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 484 +# timeUsed: 0 +# remainingBudget: 16 +# currentBudget: 16 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 530691.2, CPU sys time: 57.285, Wall-clock time: 89824.96 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 49 0.54752 57 16 72 71 83 +31 7 106 0.67993 57 18 73 40 43 +32 5 63 0.23909 63 26 7 15 7 +51 7 49 0.59270 62 29 2 36 10 +50 7 68 0.44031 55 35 24 43 12 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +36 -K10 -k49 -M0.54752 -Q57 -G16 -D72 -O71 -L83 +31 -K7 -k106 -M0.67993 -Q57 -G18 -D73 -O40 -L43 +32 -K5 -k63 -M0.23909 -Q63 -G26 -D7 -O15 -L7 +51 -K7 -k49 -M0.5927 -Q62 -G29 -D2 -O36 -L10 +50 -K7 -k68 -M0.44031 -Q55 -G35 -D24 -O43 -L12 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-02 18:33:31 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-38.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-38.txt new file mode 100644 index 000000000..140f1c31a --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-38.txt @@ -0,0 +1,294 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:46:54 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1409103383 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:46:54 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 10| 500.0158240| 16|00:34:50| NA| NA| NA| +|x| 2| 16| 13| 851.3345060| 32|00:34:49|+0.56|0.78|0.5066| +|x| 3| 16| 4| 668.5812597| 48|00:34:50|+0.48|0.65|0.5138| +|x| 4| 16| 4| 576.4452952| 64|00:34:50|+0.46|0.59|0.4948| +|-| 5| 5| 4| 561.1603386| 80|00:34:49|-0.02|0.18|0.8849| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 561.1603386 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 5 0.44685 25 18 54 80 26 NA + +# 2023-09-06 19:41:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 5 0.44685 25 18 54 80 26 +6 6 11 0.29049 65 61 72 78 0 +13 5 14 0.96398 50 7 15 83 11 +7 10 45 0.75080 10 41 47 6 19 +16 5 35 0.17803 50 4 94 88 74 +# 2023-09-06 19:41:04 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 23| 1200.174274| 18|00:50:39| NA| NA| NA| +|x| 2| 18| 13| 1201.412287| 31|00:37:59|+0.21|0.61|0.7881| +|x| 3| 18| 21| 901.2788423| 44|00:38:00|+0.38|0.58|0.5689| +|x| 4| 18| 21| 750.9660278| 57|00:37:59|+0.39|0.55|0.5495| +|-| 5| 9| 21| 700.7753262| 70|00:37:59|+0.08|0.26|0.9138| +|=| 1| 9| 21| 667.3304017| 74|00:31:40|+0.01|0.18|0.9488| +|=| 7| 9| 21| 643.4263306| 83|00:31:40|+0.03|0.17|0.9094| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 643.4263306 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 10 21 0.435 68 28 8 96 6 4 + +# 2023-09-07 00:07:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +29 10 20 0.42758 81 30 93 53 53 +23 8 13 0.40063 94 8 73 96 50 +4 10 5 0.44685 25 18 54 80 26 +26 8 38 0.82185 58 26 9 2 34 +# 2023-09-07 00:07:04 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 163 +# remainingBudget: 337 +# currentBudget: 112 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 23| 1200.849423| 18|00:56:59| NA| NA| NA| +|x| 6| 18| 23| 1200.511848| 31|00:47:29|+0.08|0.54|1.0072| +|x| 3| 18| 21| 900.5541313| 44|00:47:30|+0.22|0.48|0.8666| +|x| 5| 18| 21| 800.4187285| 57|00:47:29|+0.26|0.45|0.7858| +|-| 1| 9| 23| 740.2274374| 70|00:47:30|-0.04|0.17|0.9722| +|=| 2| 9| 23| 817.8388858| 74|00:31:40|+0.03|0.19|0.8756| +|=| 7| 9| 21| 772.1894320| 78|00:31:39|-0.01|0.13|0.8897| +|=| 4| 9| 21| 713.1692010| 82|00:31:40|+0.00|0.13|0.8593| +|=| 9| 9| 21| 667.2715206| 91|00:31:41|-0.01|0.10|0.8907| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 667.2715206 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 10 21 0.435 68 28 8 96 6 4 + +# 2023-09-07 06:20:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +23 8 13 0.40063 94 8 73 96 50 +42 9 11 0.18644 97 10 26 77 13 +39 10 14 0.36757 89 51 14 43 38 +33 10 38 0.19133 82 10 24 89 16 +# 2023-09-07 06:20:45 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 254 +# remainingBudget: 246 +# currentBudget: 123 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 39| 1200.503909| 16|01:00:09| NA| NA| NA| +|x| 7| 16| 23| 850.7576485| 27|00:31:39|-0.20|0.40|1.2569| +|x| 2| 16| 23| 969.1371417| 38|00:31:40|-0.18|0.21|1.1250| +|x| 5| 16| 21| 856.0501188| 49|00:31:40|-0.06|0.21|0.9974| +|=| 9| 16| 42| 740.7027066| 60|00:31:40|+0.01|0.21|0.9001| +|=| 3| 16| 42| 667.2581062| 71|00:31:40|+0.06|0.22|0.9008| +|=| 4| 16| 42| 614.7937450| 82|00:31:39|+0.06|0.19|0.8515| +|=| 1| 16| 21| 603.0570871| 93|00:31:39|+0.05|0.17|0.8646| +|-| 6| 10| 21| 669.4130017| 104|00:31:39|+0.05|0.15|0.9035| +|=| 8| 10| 23| 720.8714404| 109|00:31:39|+0.03|0.13|0.9236| +|=| 11| 10| 21| 702.3733553| 119|00:31:40|+0.01|0.10|0.9261| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 702.3733553 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 10 21 0.435 68 28 8 96 6 4 + +# 2023-09-07 12:37:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +23 8 13 0.40063 94 8 73 96 50 +39 10 14 0.36757 89 51 14 43 38 +42 9 11 0.18644 97 10 26 77 13 +33 10 38 0.19133 82 10 24 89 16 +# 2023-09-07 12:37:35 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 373 +# remainingBudget: 127 +# currentBudget: 127 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 63| 300.0110820| 15|00:57:00| NA| NA| NA| +|x| 6| 15| 21| 750.1463965| 25|00:31:40|+0.19|0.59|0.6924| +|x| 5| 15| 21| 666.7684377| 35|00:31:39|+0.34|0.56|0.5359| +|x| 1| 15| 21| 625.1027730| 45|00:31:40|+0.07|0.30|0.7925| +|=| 7| 15| 21| 600.0825992| 55|00:31:39|+0.08|0.27|0.7688| +|=| 4| 15| 21| 550.0734300| 65|00:31:39|+0.12|0.26|0.7756| +|=| 10| 15| 63| 644.1830861| 75|00:31:39|+0.10|0.23|0.8105| +|-| 11| 8| 63| 626.1602239| 85|00:31:39|-0.05|0.09|0.9413| +|=| 9| 8| 63| 589.9256047| 88|00:31:40|-0.03|0.08|0.9273| +|=| 3| 8| 21| 562.1226662| 91|00:31:40|-0.06|0.04|0.9509| +|=| 2| 8| 21| 620.4336445| 94|00:31:39|-0.05|0.04|0.9329| +|=| 8| 8| 21| 668.8449486| 97|00:31:39|-0.04|0.04|0.9255| +|=| 13| 8| 21| 655.8583292| 105|00:31:40|-0.04|0.04|0.9251| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 655.8583292 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 10 21 0.435 68 28 8 96 6 4 + +# 2023-09-07 19:54:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +23 8 13 0.40063 94 8 73 96 50 +63 10 5 0.33756 81 19 24 30 13 +42 9 11 0.18644 97 10 26 77 13 +57 10 31 0.70450 81 15 0 97 45 +# 2023-09-07 19:54:36 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 478 +# remainingBudget: 22 +# currentBudget: 22 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 21| 300.0169560| 6|00:31:40| NA| NA| NA| +|x| 10| 6| 23| 750.7770000| 7|00:28:29|+0.09|0.54|1.1576| +|x| 2| 6| 42| 901.1279893| 8|00:28:29|+0.24|0.49|0.7764| +|x| 7| 6| 42| 800.8755435| 9|00:28:29|-0.06|0.21|0.9149| +|=| 1| 6| 23| 741.4926078| 10|00:28:30|-0.12|0.10|0.9509| +|=| 3| 6| 21| 670.7239120| 11|00:28:30|-0.08|0.10|0.9386| +|=| 5| 6| 21| 646.3365703| 12|00:28:29|-0.12|0.04|0.9396| +|=| 9| 6| 42| 600.4682491| 13|00:28:29|-0.10|0.04|0.9338| +|=| 11| 6| 21| 591.6074076| 14|00:28:30|-0.09|0.03|0.9222| +|=| 13| 6| 21| 582.4485564| 15|00:28:29|-0.08|0.03|0.9084| +|=| 12| 6| 21| 556.7743672| 16|00:28:30|-0.08|0.02|0.9067| +|=| 4| 6| 21| 535.3788019| 17|00:28:30|-0.07|0.02|0.8927| +|=| 6| 6| 21| 586.5235339| 18|00:28:29|-0.05|0.03|0.8791| +|=| 8| 6| 21| 630.4410882| 19|00:28:29|-0.05|0.02|0.8800| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 630.4410882 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 10 21 0.435 68 28 8 96 6 4 + +# 2023-09-08 02:36:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +23 8 13 0.40063 94 8 73 96 50 +42 9 11 0.18644 97 10 26 77 13 +64 9 22 0.28094 65 39 34 83 37 +57 10 31 0.70450 81 15 0 97 45 +# 2023-09-08 02:36:46 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 774658.4, CPU sys time: 38.633, Wall-clock time: 121792.1 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 10 21 0.43500 68 28 8 96 6 +23 8 13 0.40063 94 8 73 96 50 +42 9 11 0.18644 97 10 26 77 13 +64 9 22 0.28094 65 39 34 83 37 +57 10 31 0.70450 81 15 0 97 45 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +21 -K10 -k21 -M0.435 -Q68 -G28 -D8 -O96 -L6 +23 -K8 -k13 -M0.40063 -Q94 -G8 -D73 -O96 -L50 +42 -K9 -k11 -M0.18644 -Q97 -G10 -D26 -O77 -L13 +64 -K9 -k22 -M0.28094 -Q65 -G39 -D34 -O83 -L37 +57 -K10 -k31 -M0.7045 -Q81 -G15 -D0 -O97 -L45 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 02:36:46 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-39.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-39.txt new file mode 100644 index 000000000..5c3f7cf5a --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-39.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-02 18:33:32 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 250729386 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-02 18:33:32 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 500.0000000| 16|00:35:41| NA| NA| NA| +|x| 2| 16| 15| 400.0000000| 32|00:35:50|+0.02|0.51|1.0220| +|x| 3| 16| 15| 667.2662470| 48|00:32:13|+0.20|0.47|0.7842| +|x| 4| 16| 15| 625.4496858| 64|00:35:46|+0.30|0.48|0.6905| +|-| 5| 8| 15| 560.3597486| 80|00:35:46|+0.19|0.35|0.4380| +|=| 6| 8| 15| 667.2969065| 88|00:23:37|+0.18|0.32|0.5407| +|=| 7| 8| 15| 746.2720254| 96|00:24:27|+0.10|0.23|0.6590| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 746.2720254 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-02 22:16:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +1 8 18 0.57502 71 41 60 61 44 +5 9 117 0.27046 97 37 98 97 96 +12 5 5 0.15346 63 90 42 2 42 +9 10 28 0.21257 37 22 38 27 53 +# 2023-09-02 22:16:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 15| 500.0000000| 17|00:44:53| NA| NA| NA| +|x| 1| 17| 15| 500.0000000| 29|00:32:20|+0.48|0.74|0.5343| +|x| 5| 17| 15| 433.3333333| 41|00:32:30|+0.34|0.56|0.6140| +|x| 6| 17| 15| 625.4956740| 53|00:28:15|+0.39|0.54|0.6003| +|-| 2| 9| 15| 560.3965392| 65|00:32:30|+0.09|0.27|0.5388| +|=| 3| 9| 15| 667.2969062| 69|00:22:27|+0.07|0.22|0.6260| +|=| 7| 9| 15| 746.2720251| 73|00:21:43|+0.00|0.14|0.7172| +|=| 4| 9| 15| 715.4880222| 77|00:29:07|+0.06|0.18|0.7188| +|=| 9| 9| 15| 669.3226864| 86|00:32:29|+0.06|0.16|0.6331| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 669.3226864 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-03 02:53:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +24 9 26 0.63686 96 66 51 64 33 +5 9 117 0.27046 97 37 98 97 96 +27 9 113 0.39013 87 24 63 30 86 +1 8 18 0.57502 71 41 60 61 44 +# 2023-09-03 02:53:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 182 +# remainingBudget: 318 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 15| 300.0000000| 15|00:52:02| NA| NA| NA| +|x| 9| 15| 15| 300.0000000| 25|00:32:34|+1.00|1.00|0.0000| +|x| 3| 15| 31| 600.1349380| 35|00:28:53|+0.00|0.33|0.3111| +|x| 5| 15| 31| 525.1012035| 45|00:32:34|+0.00|0.25|0.2333| +|=| 8| 15| 31| 520.0809628| 55|00:32:30|+0.15|0.32|0.3113| +|=| 2| 15| 31| 483.4008023| 65|00:32:33|+0.12|0.27|0.2698| +|-| 1| 9| 31| 485.7721163| 75|00:32:32|+0.13|0.26|0.3776| +|-| 4| 6| 31| 487.5506017| 79|00:32:26|+0.20|0.30|0.3951| +|=| 7| 6| 31| 568.9873772| 80|00:21:09|+0.13|0.22|0.4690| +|=| 6| 6| 15| 632.3904178| 81|00:21:05|+0.04|0.14|0.5180| +|=| 11| 6| 15| 685.9044745| 87|00:23:34|+0.01|0.10|0.5571| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 685.9044745 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 8 114 0.70016 99 66 80 13 67 NA + +# 2023-09-03 08:35:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 8 114 0.70016 99 66 80 13 67 +31 10 90 0.99980 94 36 98 17 45 +1 8 18 0.57502 71 41 60 61 44 +24 9 26 0.63686 96 66 51 64 33 +27 9 113 0.39013 87 24 63 30 86 +# 2023-09-03 08:35:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 269 +# remainingBudget: 231 +# currentBudget: 115 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 46| 500.0000000| 14|00:41:35| NA| NA| NA| +|x| 11| 14| 46| 850.7600060| 23|00:25:24|+0.38|0.69|0.5209| +|x| 2| 14| 46| 667.1733373| 32|00:29:16|+0.19|0.46|0.4832| +|x| 8| 14| 1| 626.3789440| 41|00:29:16|-0.03|0.23|0.6745| +|=| 6| 14| 45| 740.3393916| 50|00:25:58|+0.04|0.23|0.6959| +|=| 3| 14| 45| 817.1297900| 59|00:26:00|+0.09|0.24|0.7075| +|=| 7| 14| 45| 874.7850633| 68|00:25:57|+0.08|0.21|0.7593| +|=| 5| 14| 45| 802.9369304| 77|00:29:16|+0.07|0.18|0.6690| +|=| 10| 14| 45| 747.0550492| 86|00:29:15|+0.06|0.16|0.5977| +|=| 1| 14| 45| 722.3495443| 95|00:29:15|+0.05|0.14|0.6526| +|=| 4| 14| 45| 702.1363176| 104|00:29:17|+0.05|0.14|0.6578| +|=| 9| 14| 45| 668.6249578| 113|00:29:17|+0.05|0.13|0.6044| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 668.6249578 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +45 45 9 89 0.69713 91 78 42 24 74 15 + +# 2023-09-03 14:25:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +45 9 89 0.69713 91 78 42 24 74 +46 7 101 0.79206 90 21 38 10 51 +31 10 90 0.99980 94 36 98 17 45 +15 8 114 0.70016 99 66 80 13 67 +44 9 65 0.90099 75 32 89 24 53 +# 2023-09-03 14:25:01 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 382 +# remainingBudget: 118 +# currentBudget: 118 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 44| 500.0000000| 13|00:41:19| NA| NA| NA| +|x| 6| 13| 49| 850.2201485| 21|00:24:46|-0.12|0.44|1.0007| +|x| 8| 13| 49| 733.4864183| 29|00:32:24|-0.17|0.22|1.0479| +|x| 10| 13| 49| 625.1148138| 37|00:32:31|-0.11|0.17|0.7547| +|=| 7| 13| 49| 740.2738368| 45|00:24:47|-0.14|0.09|0.8273| +|=| 3| 13| 49| 816.9897478| 53|00:25:07|-0.04|0.13|0.8232| +|=| 11| 13| 49| 871.7879350| 61|00:22:57|-0.01|0.13|0.8357| +|=| 9| 13| 49| 800.3144431| 69|00:32:30|-0.01|0.12|0.7257| +|=| 5| 13| 49| 744.7239494| 77|00:32:29|-0.01|0.10|0.6413| +|=| 1| 13| 49| 720.2516360| 85|00:32:27|+0.01|0.11|0.6556| +|=| 4| 13| 49| 700.2291995| 93|00:32:25|+0.03|0.12|0.6788| +|=| 2| 13| 49| 666.8767663| 101|00:32:30|+0.03|0.11|0.6217| +|=| 12| 13| 49| 654.0413452| 109|00:32:23|+0.02|0.10|0.6394| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 654.0413452 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 10 87 0.71752 88 66 14 15 67 45 + +# 2023-09-03 21:03:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 87 0.71752 88 66 14 15 67 +45 9 89 0.69713 91 78 42 24 74 +31 10 90 0.99980 94 36 98 17 45 +44 9 65 0.90099 75 32 89 24 53 +15 8 114 0.70016 99 66 80 13 67 +# 2023-09-03 21:03:43 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 679290.5, CPU sys time: 77.658, Wall-clock time: 95411.04 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 10 87 0.71752 88 66 14 15 67 +45 9 89 0.69713 91 78 42 24 74 +31 10 90 0.99980 94 36 98 17 45 +44 9 65 0.90099 75 32 89 24 53 +15 8 114 0.70016 99 66 80 13 67 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +49 -K10 -k87 -M0.71752 -Q88 -G66 -D14 -O15 -L67 +45 -K9 -k89 -M0.69713 -Q91 -G78 -D42 -O24 -L74 +31 -K10 -k90 -M0.9998 -Q94 -G36 -D98 -O17 -L45 +44 -K9 -k65 -M0.90099 -Q75 -G32 -D89 -O24 -L53 +15 -K8 -k114 -M0.70016 -Q99 -G66 -D80 -O13 -L67 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-03 21:03:43 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-4.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-4.txt new file mode 100644 index 000000000..7560045b2 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-4.txt @@ -0,0 +1,307 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 19:30:13 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 231353751 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 19:30:13 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.2226390| 16|00:03:39| NA| NA| NA| +|x| 2| 16| 4| 400.1727380| 32|00:03:40|+0.66|0.83|0.4287| +|x| 3| 16| 4| 674.0593247| 48|00:03:39|+0.41|0.61|0.3624| +|x| 4| 16| 4| 580.6273508| 64|00:03:40|+0.36|0.52|0.5463| +|-| 5| 9| 5| 564.6714808| 80|00:03:39|+0.02|0.21|0.8848| +|=| 6| 9| 5| 674.2777508| 89|00:03:19|+0.00|0.17|0.9252| +|=| 7| 9| 5| 620.9991716| 98|00:03:20|+0.00|0.15|0.8788| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 620.9991716 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 10 33 0.27196 76 51 15 17 41 NA + +# 2023-09-06 19:55:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 10 33 0.27196 76 51 15 17 41 +4 9 2 0.60112 87 12 55 54 14 +7 7 29 0.69777 82 47 89 4 90 +14 8 8 0.45749 30 33 61 6 59 +9 6 33 0.33969 78 37 60 87 15 +# 2023-09-06 19:55:13 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 7| 500.0415760| 16|00:05:39| NA| NA| NA| +|x| 3| 16| 7| 860.7484905| 27|00:03:20|+0.23|0.61|0.7055| +|x| 1| 16| 7| 674.1652870| 38|00:03:20|+0.17|0.44|0.7336| +|x| 2| 16| 14| 630.6537762| 49|00:03:19|+0.30|0.47|0.6646| +|-| 6| 10| 24| 745.7764982| 60|00:03:20|-0.04|0.17|0.9239| +|=| 7| 10| 24| 671.5307110| 65|00:03:20|+0.03|0.19|0.8921| +|=| 4| 10| 24| 618.4726333| 70|00:03:20|+0.07|0.20|0.8422| +|=| 5| 10| 24| 603.6969902| 75|00:03:19|+0.01|0.13|0.9159| +|=| 9| 10| 24| 672.3448464| 85|00:03:19|+0.01|0.12|0.9292| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 672.3448464 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 9 46 0.82241 54 31 50 18 25 5 + +# 2023-09-06 20:27:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 9 46 0.82241 54 31 50 18 25 +7 7 29 0.69777 82 47 89 4 90 +14 8 8 0.45749 30 33 61 6 59 +17 9 26 0.86727 81 56 47 67 38 +22 9 5 0.12690 61 28 60 6 37 +# 2023-09-06 20:27:33 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 30| 300.2380020| 15|00:05:21| NA| NA| NA| +|x| 4| 15| 29| 300.2047775| 25|00:02:59|+0.26|0.63|0.5649| +|x| 1| 15| 29| 300.1812143| 35|00:03:00|+0.31|0.54|0.6503| +|x| 9| 15| 29| 530.5009842| 45|00:02:59|+0.38|0.53|0.5784| +|-| 7| 9| 24| 484.5802700| 55|00:03:00|+0.02|0.21|0.8906| +|=| 3| 9| 29| 607.2662020| 59|00:02:59|+0.02|0.18|0.9088| +|=| 2| 9| 29| 591.9552514| 63|00:03:00|+0.06|0.20|0.8734| +|=| 8| 9| 29| 580.4635916| 67|00:03:00|+0.12|0.23|0.8416| +|=| 6| 9| 29| 651.7616951| 71|00:02:59|+0.07|0.18|0.8436| +|=| 5| 9| 29| 636.6032696| 75|00:03:00|+0.03|0.13|0.8728| +|=| 11| 9| 29| 624.1907090| 84|00:02:59|+0.04|0.13|0.8664| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 624.1907090 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 9 16 0.89693 85 58 98 7 80 7 + +# 2023-09-06 21:02:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 9 16 0.89693 85 58 98 7 80 +30 8 37 0.86306 58 31 13 6 45 +24 9 46 0.82241 54 31 50 18 25 +7 7 29 0.69777 82 47 89 4 90 +37 9 42 0.60465 71 36 44 13 25 +# 2023-09-06 21:02:54 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 267 +# remainingBudget: 233 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 37| 1212.825522| 14|00:05:19| NA| NA| NA| +|x| 8| 14| 30| 860.4059100| 23|00:03:19|+0.42|0.71|0.5235| +|x| 6| 14| 30| 980.9841450| 32|00:03:20|-0.03|0.31|0.8139| +|x| 11| 14| 30| 860.7520615| 41|00:03:19|+0.01|0.25|0.8508| +|=| 10| 14| 30| 748.6492496| 50|00:03:20|+0.05|0.24|0.8058| +|=| 7| 14| 30| 674.0385583| 59|00:03:20|+0.08|0.23|0.7743| +|-| 2| 10| 30| 649.1887840| 68|00:03:19|+0.05|0.19|0.8380| +|=| 9| 10| 30| 720.6541791| 73|00:03:19|+0.08|0.20|0.8338| +|=| 3| 10| 30| 776.2441142| 78|00:03:19|+0.08|0.18|0.8474| +|-| 1| 6| 30| 728.7159603| 83|00:03:20|+0.01|0.11|0.8596| +|=| 4| 6| 30| 689.7705468| 84|00:02:39|-0.02|0.07|0.8682| +|=| 5| 6| 30| 673.9704062| 85|00:02:40|-0.05|0.04|0.8766| +|=| 13| 6| 30| 645.2282807| 91|00:03:00|-0.02|0.06|0.8717| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 645.2282807 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 8 37 0.86306 58 31 13 6 45 24 + +# 2023-09-06 21:46:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 8 37 0.86306 58 31 13 6 45 +29 9 16 0.89693 85 58 98 7 80 +24 9 46 0.82241 54 31 50 18 25 +43 8 31 0.54742 56 60 20 21 32 +37 9 42 0.60465 71 36 44 13 25 +# 2023-09-06 21:46:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 358 +# remainingBudget: 142 +# currentBudget: 142 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 14| 54| 500.0555350| 14|00:05:39| NA| NA| NA| +|x| 12| 14| 55| 860.2755150| 23|00:03:19|+0.55|0.77|0.8023| +|x| 9| 14| 54| 980.6074987| 32|00:03:19|+0.34|0.56|0.8073| +|x| 3| 14| 30| 1040.684886| 41|00:03:20|-0.01|0.24|1.0134| +|=| 11| 14| 30| 932.5590710| 50|00:03:20|+0.11|0.29|0.8821| +|=| 4| 14| 30| 827.1852945| 59|00:03:20|+0.10|0.25|0.8667| +|=| 6| 14| 30| 883.6074831| 68|00:03:19|+0.10|0.23|0.8954| +|=| 13| 14| 30| 810.6968945| 77|00:03:20|+0.09|0.20|0.9197| +|-| 10| 8| 30| 753.9792398| 86|00:03:20|+0.01|0.12|0.9090| +|=| 8| 8| 30| 728.5832327| 89|00:03:19|+0.04|0.14|0.8836| +|=| 2| 8| 30| 707.8111332| 92|00:03:20|+0.01|0.10|0.9049| +|=| 1| 8| 30| 673.9070867| 95|00:03:20|-0.01|0.07|0.9150| +|=| 7| 8| 30| 645.2207802| 98|00:03:20|-0.02|0.06|0.9177| +|=| 5| 8| 30| 634.8599287| 101|00:03:19|-0.03|0.04|0.9202| +|=| 15| 8| 30| 673.9619347| 109|00:03:19|-0.03|0.04|0.9144| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 673.9619347 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 8 37 0.86306 58 31 13 6 45 24 + +# 2023-09-06 22:38:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 8 37 0.86306 58 31 13 6 45 +29 9 16 0.89693 85 58 98 7 80 +48 9 38 0.81501 65 28 24 11 44 +54 10 27 0.83747 66 44 16 10 54 +43 8 31 0.54742 56 60 20 21 32 +# 2023-09-06 22:38:54 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 467 +# remainingBudget: 33 +# currentBudget: 33 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 16| 6| 56| 300.1440170| 6|00:03:20| NA| NA| NA| +|x| 4| 6| 56| 300.1655025| 7|00:03:19|-0.09|0.46|0.9840| +|x| 6| 6| 30| 607.6223093| 8|00:03:19|-0.24|0.17|0.9724| +|x| 1| 6| 29| 530.7607090| 9|00:03:20|-0.14|0.14|0.8682| +|=| 3| 6| 29| 668.8124492| 10|00:03:19|-0.05|0.16|0.8451| +|=| 7| 6| 29| 607.4393518| 11|00:03:20|-0.01|0.16|0.8343| +|=| 9| 6| 29| 695.1566293| 12|00:03:19|-0.11|0.05|0.8985| +|=| 15| 6| 56| 760.2491787| 13|00:03:20|-0.10|0.04|0.8653| +|=| 8| 6| 29| 732.0017143| 14|00:03:20|-0.10|0.02|0.8938| +|=| 11| 6| 30| 708.8155143| 15|00:03:20|-0.08|0.03|0.8763| +|=| 14| 6| 30| 689.8387724| 16|00:03:19|-0.07|0.03|0.8824| +|=| 10| 6| 30| 657.3720415| 17|00:03:19|-0.05|0.04|0.8693| +|=| 2| 6| 30| 645.2734335| 18|00:03:20|-0.06|0.02|0.8843| +|=| 13| 6| 30| 620.6341007| 19|00:03:20|-0.04|0.03|0.8708| +|=| 12| 6| 30| 660.6446707| 20|00:03:19|-0.03|0.04|0.8686| +|=| 5| 6| 30| 650.6149326| 21|00:03:20|-0.02|0.04|0.8719| +|=| 17| 6| 30| 641.7579920| 27|00:03:19|-0.00|0.06|0.8558| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 641.7579920 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 8 37 0.86306 58 31 13 6 45 24 + +# 2023-09-06 23:35:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 8 37 0.86306 58 31 13 6 45 +29 9 16 0.89693 85 58 98 7 80 +54 10 27 0.83747 66 44 16 10 54 +48 9 38 0.81501 65 28 24 11 44 +43 8 31 0.54742 56 60 20 21 32 +# 2023-09-06 23:35:34 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 77931.05, CPU sys time: 6.839, Wall-clock time: 14720.82 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 8 37 0.86306 58 31 13 6 45 +29 9 16 0.89693 85 58 98 7 80 +54 10 27 0.83747 66 44 16 10 54 +48 9 38 0.81501 65 28 24 11 44 +43 8 31 0.54742 56 60 20 21 32 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +30 -K8 -k37 -M0.86306 -Q58 -G31 -D13 -O6 -L45 +29 -K9 -k16 -M0.89693 -Q85 -G58 -D98 -O7 -L80 +54 -K10 -k27 -M0.83747 -Q66 -G44 -D16 -O10 -L54 +48 -K9 -k38 -M0.81501 -Q65 -G28 -D24 -O11 -L44 +43 -K8 -k31 -M0.54742 -Q56 -G60 -D20 -O21 -L32 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 23:35:34 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-40.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-40.txt new file mode 100644 index 000000000..56ceeba30 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-40.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:50:25 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1190413294 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:50:25 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 1200.437711| 16|00:33:20| NA| NA| NA| +|x| 2| 16| 2| 850.2527025| 32|00:33:20|+0.26|0.63|0.6496| +|x| 3| 16| 14| 668.1862503| 48|00:33:23|+0.47|0.65|0.4721| +|x| 4| 16| 14| 626.1534957| 64|00:33:20|+0.51|0.63|0.4282| +|-| 5| 7| 14| 742.3500768| 80|00:33:19|+0.04|0.23|0.8682| +|=| 6| 7| 14| 668.6725045| 87|00:29:59|-0.05|0.13|0.8956| +|=| 7| 7| 9| 617.6173011| 94|00:30:00|+0.00|0.14|0.8497| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 617.6173011 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 22 0.31406 28 10 9 35 21 NA + +# 2023-09-06 20:37:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 22 0.31406 28 10 9 35 21 +14 8 23 0.55509 25 46 77 34 18 +2 8 40 0.43884 58 62 8 47 65 +10 5 29 0.17985 66 100 26 24 22 +6 7 29 0.71907 40 83 36 96 81 +# 2023-09-06 20:37:10 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0000060| 17|00:49:59| NA| NA| NA| +|x| 3| 17| 24| 400.0966495| 29|00:33:20|+0.21|0.60|0.9163| +|x| 1| 17| 2| 666.8710797| 41|00:33:20|+0.27|0.52|0.7395| +|x| 7| 17| 2| 575.1622057| 53|00:33:20|+0.35|0.51|0.7144| +|-| 5| 10| 2| 704.2339402| 65|00:33:19|-0.03|0.18|0.9259| +|=| 4| 10| 14| 668.6713975| 70|00:30:00|-0.03|0.14|0.9135| +|=| 6| 10| 2| 617.3293837| 75|00:30:00|-0.02|0.12|0.8979| +|=| 2| 10| 2| 602.6716725| 80|00:29:59|+0.01|0.13|0.8990| +|=| 9| 10| 28| 671.5612907| 90|00:30:00|+0.00|0.12|0.9154| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 671.5612907 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 8 27 0.34885 63 29 73 67 16 2 + +# 2023-09-07 01:40:30 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 8 27 0.34885 63 29 73 67 16 +2 8 40 0.43884 58 62 8 47 65 +24 7 41 0.80447 49 48 27 23 77 +14 8 23 0.55509 25 46 77 34 18 +10 5 29 0.17985 66 100 26 24 22 +# 2023-09-07 01:40:30 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 29| 500.0368110| 15|00:33:19| NA| NA| NA| +|x| 4| 15| 29| 500.0233330| 25|00:33:19|+0.44|0.72|0.1288| +|x| 9| 15| 33| 733.5093377| 35|00:33:20|+0.25|0.50|0.4879| +|x| 6| 15| 33| 625.1468378| 45|00:33:20|+0.26|0.45|0.4555| +|-| 3| 10| 33| 560.1338830| 55|00:33:19|+0.03|0.22|1.0178| +|=| 2| 10| 33| 550.1132175| 60|00:33:19|+0.12|0.26|0.9251| +|-| 8| 9| 33| 542.9553194| 65|00:33:19|+0.17|0.29|0.8523| +|!| 7| 9| 33| 512.5879289| 69|00:33:20|+0.19|0.29|0.8641| +|-| 1| 8| 33| 589.0830172| 73|00:33:19|+0.20|0.29|0.8249| +|=| 5| 8| 33| 652.2384649| 76|00:26:40|+0.08|0.18|0.8753| +|=| 11| 8| 33| 620.2457055| 84|00:26:41|+0.08|0.17|0.8732| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 620.2457055 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 8 32 0.30555 84 22 84 55 27 28 + +# 2023-09-07 07:33:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 8 32 0.30555 84 22 84 55 27 +34 7 38 0.59969 61 94 7 89 65 +31 8 35 0.82407 62 45 37 25 26 +28 8 27 0.34885 63 29 73 67 16 +24 7 41 0.80447 49 48 27 23 77 +# 2023-09-07 07:33:52 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 268 +# remainingBudget: 232 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 41| 1200.565637| 14|00:53:19| NA| NA| NA| +|x| 10| 14| 39| 850.8846950| 23|00:33:20|+0.12|0.56|0.7052| +|x| 11| 14| 40| 667.2635810| 32|00:33:19|+0.06|0.38|0.6071| +|x| 2| 14| 40| 625.4560753| 41|00:33:20|+0.03|0.27|0.7984| +|=| 8| 14| 46| 600.6588614| 50|00:33:19|+0.05|0.24|0.8155| +|=| 4| 14| 40| 583.6502060| 59|00:33:20|-0.02|0.15|0.9001| +|=| 6| 14| 40| 543.1473211| 68|00:33:20|+0.01|0.15|0.8943| +|=| 1| 14| 46| 625.5469180| 77|00:33:19|-0.00|0.12|0.8992| +|=| 3| 14| 46| 589.3793548| 86|00:33:20|-0.00|0.11|0.8939| +|=| 5| 14| 46| 652.6731077| 95|00:33:19|-0.03|0.07|0.9354| +|=| 9| 14| 40| 701.0774592| 104|00:33:20|-0.03|0.06|0.9474| +|=| 7| 14| 33| 670.3274388| 113|00:33:20|-0.02|0.07|0.9416| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 670.3274388 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +33 33 8 32 0.30555 84 22 84 55 27 28 + +# 2023-09-07 14:33:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +33 8 32 0.30555 84 22 84 55 27 +40 9 38 0.91708 60 85 41 42 84 +47 8 44 0.70225 100 18 74 56 11 +41 9 25 0.14614 83 21 90 65 48 +46 10 31 0.27723 69 48 76 66 34 +# 2023-09-07 14:33:52 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 381 +# remainingBudget: 119 +# currentBudget: 119 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 40| 1201.821533| 13|00:43:19| NA| NA| NA| +|x| 11| 13| 40| 750.9341835| 21|00:30:00|-0.07|0.46|0.6778| +|x| 5| 13| 40| 901.5035767| 29|00:29:59|-0.05|0.30|0.8016| +|x| 7| 13| 40| 751.1477990| 37|00:30:00|-0.05|0.21|0.7911| +|=| 9| 13| 40| 841.1764528| 45|00:29:59|-0.03|0.17|0.8632| +|=| 3| 13| 41| 757.6372328| 53|00:30:00|-0.05|0.12|0.9241| +|=| 4| 13| 40| 715.1640934| 61|00:29:59|-0.02|0.12|0.9048| +|=| 8| 13| 47| 693.0296218| 69|00:29:59|-0.05|0.09|0.9190| +|=| 10| 13| 40| 667.3586560| 77|00:29:59|-0.05|0.06|0.9434| +|=| 2| 13| 48| 656.4997311| 85|00:29:59|-0.02|0.08|0.9177| +|=| 12| 13| 48| 706.0271531| 93|00:29:59|-0.02|0.08|0.9165| +|=| 1| 13| 40| 742.8020032| 101|00:30:00|-0.00|0.08|0.9092| +|=| 6| 13| 41| 711.3523954| 109|00:30:00|+0.01|0.09|0.9077| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 711.3523954 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 9 25 0.14614 83 21 90 65 48 33 + +# 2023-09-07 21:17:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 9 25 0.14614 83 21 90 65 48 +40 9 38 0.91708 60 85 41 42 84 +47 8 44 0.70225 100 18 74 56 11 +48 9 29 0.21292 88 21 87 80 15 +33 8 32 0.30555 84 22 84 55 27 +# 2023-09-07 21:17:12 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 679798.8, CPU sys time: 29.151, Wall-clock time: 102407 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 9 25 0.14614 83 21 90 65 48 +40 9 38 0.91708 60 85 41 42 84 +47 8 44 0.70225 100 18 74 56 11 +48 9 29 0.21292 88 21 87 80 15 +33 8 32 0.30555 84 22 84 55 27 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +41 -K9 -k25 -M0.14614 -Q83 -G21 -D90 -O65 -L48 +40 -K9 -k38 -M0.91708 -Q60 -G85 -D41 -O42 -L84 +47 -K8 -k44 -M0.70225 -Q100 -G18 -D74 -O56 -L11 +48 -K9 -k29 -M0.21292 -Q88 -G21 -D87 -O80 -L15 +33 -K8 -k32 -M0.30555 -Q84 -G22 -D84 -O55 -L27 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 21:17:12 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-41.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-41.txt new file mode 100644 index 000000000..da8425631 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-41.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 16:52:21 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2147345287 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 16:52:21 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 1200.824008| 16|00:30:44| NA| NA| NA| +|x| 2| 16| 6| 850.6277860| 32|00:30:45|-0.10|0.45|0.8157| +|x| 3| 16| 6| 667.2289380| 48|00:30:47|+0.30|0.53|0.5435| +|x| 4| 16| 7| 625.4233908| 64|00:30:44|+0.42|0.57|0.4169| +|-| 5| 6| 13| 560.2763072| 80|00:30:46|-0.06|0.15|0.9442| +|=| 6| 6| 13| 667.1940617| 86|00:27:19|-0.01|0.16|0.8788| +|=| 7| 6| 13| 743.5933107| 92|00:27:20|+0.07|0.20|0.8155| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 743.5933107 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 7 20 0.62289 70 81 4 3 88 NA + +# 2023-09-06 20:20:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 7 20 0.62289 70 81 4 3 88 +7 8 39 0.42470 32 98 0 3 60 +8 6 43 0.86943 21 52 6 84 82 +9 7 27 0.19761 53 41 63 67 93 +6 8 4 0.45677 76 58 75 96 53 +# 2023-09-06 20:20:50 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0000670| 17|00:58:05| NA| NA| NA| +|x| 1| 17| 28| 850.4427690| 29|00:34:11|+0.03|0.51|0.9876| +|x| 4| 17| 28| 733.6482770| 41|00:34:10|+0.13|0.42|0.8817| +|x| 7| 17| 13| 850.7351408| 53|00:34:12|+0.05|0.29|0.9506| +|=| 5| 17| 13| 740.6053326| 65|00:34:21|+0.13|0.30|0.8482| +|-| 3| 12| 13| 667.2058173| 77|00:34:23|-0.01|0.16|0.9431| +|=| 6| 12| 28| 745.9271993| 84|00:34:10|+0.05|0.19|0.8796| +|=| 2| 12| 28| 715.1934266| 91|00:34:09|+0.02|0.14|0.9057| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 715.1934266 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 26 0.7388 72 58 36 0 39 13 + +# 2023-09-07 01:18:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 26 0.73880 72 58 36 0 39 +13 7 20 0.62289 70 81 4 3 88 +27 10 33 0.74952 92 90 11 17 93 +19 8 20 0.29382 90 37 43 4 83 +17 10 40 0.41118 75 57 74 92 78 +# 2023-09-07 01:18:36 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 183 +# remainingBudget: 317 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 27| 300.0740740| 16|00:51:24| NA| NA| NA| +|x| 7| 16| 27| 750.5340920| 27|00:34:12|+0.36|0.68|0.7711| +|x| 5| 16| 27| 600.4204150| 38|00:34:19|+0.12|0.41|0.7612| +|x| 3| 16| 27| 525.4059223| 49|00:34:19|-0.09|0.18|0.8431| +|=| 1| 16| 13| 660.6546154| 60|00:34:10|-0.00|0.20|0.8569| +|=| 4| 16| 37| 633.9548440| 71|00:34:10|+0.09|0.24|0.7756| +|=| 8| 16| 28| 617.3613661| 82|00:34:11|+0.09|0.22|0.7817| +|-| 6| 12| 28| 690.1994325| 93|00:34:10|-0.02|0.11|0.9749| +|=| 2| 12| 30| 669.1927133| 100|00:34:09|-0.02|0.09|0.9757| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 669.1927133 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 9 45 0.62603 74 68 50 21 72 13 + +# 2023-09-07 06:43:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 45 0.62603 74 68 50 21 72 +28 10 26 0.73880 72 58 36 0 39 +27 10 33 0.74952 92 90 11 17 93 +37 10 21 0.64688 55 75 58 1 5 +32 10 36 0.86015 99 70 65 5 47 +# 2023-09-07 06:43:45 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 283 +# remainingBudget: 217 +# currentBudget: 108 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 48| 300.0323640| 15|00:58:19| NA| NA| NA| +|x| 4| 15| 37| 400.0722325| 25|00:34:09|-0.15|0.42|1.1817| +|x| 6| 15| 30| 666.8977493| 35|00:34:12|-0.17|0.22|1.0373| +|x| 9| 15| 48| 575.2636525| 45|00:34:12|-0.15|0.14|1.0620| +|=| 5| 15| 48| 520.2470516| 55|00:34:15|-0.09|0.13|1.0210| +|=| 2| 15| 37| 516.9044392| 65|00:34:10|+0.01|0.18|0.9208| +|=| 1| 15| 30| 614.5430289| 75|00:34:11|+0.02|0.16|0.9540| +|=| 8| 15| 30| 600.2278914| 85|00:34:10|+0.04|0.16|0.9235| +|=| 7| 15| 30| 669.2028598| 95|00:34:12|+0.04|0.15|0.9007| +|=| 3| 15| 30| 632.2854711| 105|00:34:14|+0.02|0.12|0.9332| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 632.2854711 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 9 45 0.62603 74 68 50 21 72 13 + +# 2023-09-07 12:49:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 9 45 0.62603 74 68 50 21 72 +48 10 41 0.31392 56 88 47 6 49 +28 10 26 0.73880 72 58 36 0 39 +37 10 21 0.64688 55 75 58 1 5 +45 9 36 0.85618 100 88 27 23 80 +# 2023-09-07 12:49:53 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 388 +# remainingBudget: 112 +# currentBudget: 112 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 57| 500.0196310| 14|01:01:29| NA| NA| NA| +|x| 3| 14| 57| 400.0498395| 23|00:34:12|-0.30|0.35|1.1670| +|x| 9| 14| 54| 366.7228157| 32|00:34:11|-0.06|0.29|1.0023| +|x| 1| 14| 54| 575.4393955| 41|00:34:10|-0.11|0.16|1.0419| +|=| 4| 14| 48| 560.2631046| 50|00:34:10|-0.05|0.16|0.9621| +|=| 7| 14| 48| 666.9438342| 59|00:34:10|+0.01|0.17|0.9020| +|=| 10| 14| 48| 614.5279099| 68|00:34:11|+0.05|0.19|0.8685| +|=| 8| 14| 48| 600.2203926| 77|00:34:10|+0.01|0.13|0.9272| +|=| 2| 14| 48| 589.0899406| 86|00:34:09|+0.05|0.16|0.8798| +|=| 6| 14| 48| 650.2720718| 95|00:34:10|+0.02|0.12|0.9024| +|=| 5| 14| 48| 618.4455787| 104|00:34:10|+0.02|0.11|0.8860| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 618.4455787 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 10 41 0.31392 56 88 47 6 49 30 + +# 2023-09-07 19:33:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 10 41 0.31392 56 88 47 6 49 +30 9 45 0.62603 74 68 50 21 72 +57 10 20 0.76614 47 97 68 6 7 +55 10 31 0.19241 49 83 28 32 61 +37 10 21 0.64688 55 75 58 1 5 +# 2023-09-07 19:33:11 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 492 +# timeUsed: 0 +# remainingBudget: 8 +# currentBudget: 8 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 774121.3, CPU sys time: 34.658, Wall-clock time: 96049.88 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 10 41 0.31392 56 88 47 6 49 +30 9 45 0.62603 74 68 50 21 72 +57 10 20 0.76614 47 97 68 6 7 +55 10 31 0.19241 49 83 28 32 61 +37 10 21 0.64688 55 75 58 1 5 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +48 -K10 -k41 -M0.31392 -Q56 -G88 -D47 -O6 -L49 +30 -K9 -k45 -M0.62603 -Q74 -G68 -D50 -O21 -L72 +57 -K10 -k20 -M0.76614 -Q47 -G97 -D68 -O6 -L7 +55 -K10 -k31 -M0.19241 -Q49 -G83 -D28 -O32 -L61 +37 -K10 -k21 -M0.64688 -Q55 -G75 -D58 -O1 -L5 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 19:33:11 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-42.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-42.txt new file mode 100644 index 000000000..cf6f4b8d2 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-42.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 19:33:11 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 575901821 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 19:33:11 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 500.0187240| 16|00:35:00| NA| NA| NA| +|x| 2| 16| 10| 400.1031940| 32|00:35:05|+0.63|0.81|0.2311| +|x| 3| 16| 4| 667.7701947| 48|00:34:59|+0.32|0.55|0.6100| +|x| 4| 16| 4| 625.8305427| 64|00:35:00|+0.45|0.58|0.5083| +|-| 5| 5| 4| 741.1089202| 80|00:34:59|+0.14|0.31|0.7389| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 741.1089202 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 5 0.20225 65 56 30 48 62 NA + +# 2023-09-07 22:28:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 5 0.20225 65 56 30 48 62 +15 6 44 0.14331 64 75 42 71 0 +11 9 10 0.96153 83 22 20 53 8 +10 7 43 0.42751 57 5 53 80 53 +2 4 7 0.30037 38 37 64 51 22 +# 2023-09-07 22:28:17 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 28| 300.0386940| 18|00:49:11| NA| NA| NA| +|x| 4| 18| 28| 400.0232650| 31|00:34:59|+0.63|0.82|0.1759| +|x| 3| 18| 4| 667.5905577| 44|00:34:59|+0.44|0.62|0.4337| +|x| 2| 18| 4| 575.8424105| 57|00:35:04|+0.39|0.54|0.4840| +|-| 1| 10| 4| 560.6776732| 70|00:34:59|+0.09|0.27|0.9090| +|=| 5| 10| 4| 667.6017993| 75|00:28:00|+0.09|0.24|0.9037| +|=| 7| 10| 4| 746.6435710| 85|00:34:59|+0.03|0.17|0.9257| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 746.6435710 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 5 0.20225 65 56 30 48 62 NA + +# 2023-09-08 02:40:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 5 0.20225 65 56 30 48 62 +28 7 32 0.11706 76 40 19 32 49 +11 9 10 0.96153 83 22 20 53 8 +17 8 46 0.58688 71 62 78 77 21 +27 8 24 0.79595 58 76 40 73 41 +# 2023-09-08 02:40:32 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 165 +# remainingBudget: 335 +# currentBudget: 111 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 4| 300.0732710| 18|01:06:31| NA| NA| NA| +|x| 6| 18| 4| 300.0697330| 31|00:42:12|+0.40|0.70|0.7757| +|x| 4| 18| 4| 366.7170177| 44|00:42:00|+0.40|0.60|0.7628| +|x| 3| 18| 4| 575.7112360| 57|00:41:59|+0.12|0.34|0.9110| +|=| 5| 18| 4| 701.0134748| 70|00:42:00|+0.13|0.31|0.9278| +|=| 7| 18| 4| 787.6602625| 83|00:42:00|+0.10|0.25|0.9172| +|=| 2| 18| 36| 718.1285721| 96|00:42:07|+0.07|0.20|0.9457| +|=| 1| 18| 4| 690.8222835| 109|00:42:00|+0.08|0.19|0.9384| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 690.8222835 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 5 0.20225 65 56 30 48 62 NA + +# 2023-09-08 08:41:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 5 0.20225 65 56 30 48 62 +36 10 15 0.21988 80 71 21 24 69 +28 7 32 0.11706 76 40 19 32 49 +41 9 27 0.30159 65 68 21 85 63 +31 10 1 0.60950 57 33 34 37 30 +# 2023-09-08 08:41:24 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 274 +# remainingBudget: 226 +# currentBudget: 113 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 53| 500.0004080| 17|01:06:29| NA| NA| NA| +|x| 6| 17| 36| 400.0622095| 29|00:35:07|-0.16|0.42|1.2865| +|x| 5| 17| 36| 667.5391330| 41|00:35:00|+0.12|0.41|0.8992| +|x| 8| 17| 36| 575.6740657| 53|00:35:08|+0.15|0.36|0.9018| +|=| 2| 17| 28| 523.1200724| 65|00:35:06|+0.15|0.32|0.9232| +|-| 4| 10| 28| 519.2680330| 77|00:35:00|-0.01|0.16|0.9318| +|=| 1| 10| 52| 516.5294249| 82|00:34:59|+0.06|0.20|0.8725| +|=| 7| 10| 52| 604.5410014| 87|00:35:00|-0.02|0.11|0.9169| +|=| 3| 10| 52| 672.9721489| 92|00:35:00|-0.06|0.06|0.9391| +|=| 10| 10| 52| 635.6820820| 102|00:35:04|-0.03|0.07|0.9146| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 635.6820820 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 8 28 0.1747 85 54 6 20 33 28 + +# 2023-09-08 15:03:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 8 28 0.17470 85 54 6 20 33 +36 10 15 0.21988 80 71 21 24 69 +4 10 5 0.20225 65 56 30 48 62 +28 7 32 0.11706 76 40 19 32 49 +45 9 37 0.31869 61 15 10 44 39 +# 2023-09-08 15:03:20 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 376 +# remainingBudget: 124 +# currentBudget: 124 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 63| 500.0149760| 15|00:56:06| NA| NA| NA| +|x| 2| 15| 62| 400.0404595| 25|00:35:02|+0.09|0.54|0.7092| +|x| 6| 15| 62| 366.7848230| 35|00:35:03|-0.19|0.21|1.0512| +|x| 7| 15| 62| 575.3166438| 45|00:34:59|-0.17|0.12|1.0180| +|=| 1| 15| 62| 560.2648884| 55|00:35:00|-0.07|0.15|0.9862| +|=| 4| 15| 62| 550.2219852| 65|00:35:00|+0.03|0.19|0.9568| +|=| 3| 15| 62| 643.1612954| 75|00:34:59|+0.02|0.16|0.9799| +|=| 5| 15| 62| 712.7911171| 85|00:35:00|+0.06|0.18|0.9301| +|=| 9| 15| 62| 689.1492651| 95|00:34:59|+0.06|0.16|0.9269| +|=| 10| 15| 62| 650.2363211| 105|00:35:00|+0.06|0.15|0.9093| +|=| 8| 15| 62| 618.4007192| 115|00:35:03|+0.06|0.15|0.8923| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 62 mean value: 618.4007192 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +62 62 9 26 0.20789 88 43 10 28 39 52 + +# 2023-09-08 21:49:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +62 9 26 0.20789 88 43 10 28 39 +52 8 28 0.17470 85 54 6 20 33 +55 7 26 0.23361 75 52 8 16 46 +57 8 19 0.22363 79 55 5 14 31 +56 7 33 0.17195 99 47 22 22 11 +# 2023-09-08 21:49:35 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 787086.2, CPU sys time: 53.025, Wall-clock time: 94583.29 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +62 9 26 0.20789 88 43 10 28 39 +52 8 28 0.17470 85 54 6 20 33 +55 7 26 0.23361 75 52 8 16 46 +57 8 19 0.22363 79 55 5 14 31 +56 7 33 0.17195 99 47 22 22 11 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +62 -K9 -k26 -M0.20789 -Q88 -G43 -D10 -O28 -L39 +52 -K8 -k28 -M0.1747 -Q85 -G54 -D6 -O20 -L33 +55 -K7 -k26 -M0.23361 -Q75 -G52 -D8 -O16 -L46 +57 -K8 -k19 -M0.22363 -Q79 -G55 -D5 -O14 -L31 +56 -K7 -k33 -M0.17195 -Q99 -G47 -D22 -O22 -L11 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 21:49:35 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-43.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-43.txt new file mode 100644 index 000000000..084ec087e --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-43.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 21:17:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 118889369 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 21:17:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 500.0123960| 16|00:46:34| NA| NA| NA| +|x| 2| 16| 2| 400.0356905| 32|00:46:38|+0.58|0.79|0.3633| +|x| 3| 16| 15| 666.9175110| 48|00:46:34|+0.37|0.58|0.6615| +|x| 4| 16| 15| 625.1974247| 64|00:46:35|+0.43|0.57|0.6226| +|-| 5| 7| 5| 560.2522108| 80|00:46:39|+0.01|0.21|0.8411| +|=| 6| 7| 15| 666.9161073| 87|00:35:49|+0.07|0.22|0.7755| +|=| 7| 7| 5| 614.9440264| 94|00:35:50|+0.05|0.19|0.8181| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 614.9440264 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 21 0.77746 70 99 15 22 82 NA + +# 2023-09-08 02:21:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 21 0.77746 70 99 15 22 82 +15 9 38 0.80676 86 77 63 96 33 +10 10 20 0.92840 71 4 35 93 11 +2 9 23 0.21668 84 7 24 31 32 +6 7 16 0.25972 87 39 14 77 3 +# 2023-09-08 02:21:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 5| 1200.415859| 17|00:57:20| NA| NA| NA| +|x| 3| 17| 5| 1200.658888| 29|00:35:52|+0.61|0.80|0.3809| +|x| 4| 17| 5| 967.1122890| 41|00:35:50|+0.48|0.65|0.5609| +|x| 2| 17| 5| 800.3683087| 53|00:35:54|+0.39|0.54|0.5738| +|-| 6| 12| 15| 884.2877802| 65|00:35:52|+0.01|0.20|0.9390| +|=| 5| 12| 5| 784.1514463| 72|00:35:49|-0.04|0.13|0.9484| +|=| 7| 12| 5| 714.9982331| 79|00:35:50|-0.01|0.13|0.9256| +|=| 1| 12| 5| 688.1280055| 86|00:35:49|+0.03|0.15|0.8895| +|=| 9| 12| 5| 667.2317820| 98|00:35:52|+0.09|0.19|0.8403| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 667.2317820 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 9 21 0.77746 70 99 15 22 82 NA + +# 2023-09-08 08:06:07 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 9 21 0.77746 70 99 15 22 82 +26 10 45 0.29874 55 14 40 68 43 +22 9 26 0.94101 81 56 55 99 15 +19 9 28 0.44891 78 13 52 92 19 +15 9 38 0.80676 86 77 63 96 33 +# 2023-09-08 08:06:07 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 37| 300.0108710| 14|01:04:30| NA| NA| NA| +|x| 1| 14| 37| 400.0230935| 23|00:35:49|+0.13|0.57|0.7573| +|x| 3| 14| 37| 667.0311043| 32|00:35:49|+0.02|0.34|0.8277| +|x| 4| 14| 5| 625.3026935| 41|00:35:50|+0.05|0.28|0.8445| +|=| 7| 14| 37| 560.2499142| 50|00:35:50|+0.12|0.30|0.7478| +|-| 5| 9| 37| 516.8791597| 59|00:35:49|-0.02|0.15|0.8684| +|=| 9| 9| 26| 514.6299469| 63|00:35:50|-0.03|0.12|0.7929| +|=| 2| 9| 26| 487.8069941| 67|00:35:50|-0.05|0.08|0.8414| +|=| 8| 9| 26| 567.0198293| 71|00:35:49|-0.03|0.09|0.8050| +|=| 6| 9| 26| 632.3792909| 75|00:35:50|-0.06|0.05|0.8626| +|=| 11| 9| 26| 620.3460293| 84|00:35:50|-0.03|0.06|0.8410| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 620.3460293 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 10 45 0.29874 55 14 40 68 43 2 + +# 2023-09-08 15:08:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 10 45 0.29874 55 14 40 68 43 +34 9 40 0.82937 85 69 69 77 46 +5 9 21 0.77746 70 99 15 22 82 +37 10 27 0.62026 87 81 0 54 72 +19 9 28 0.44891 78 13 52 92 19 +# 2023-09-08 15:08:57 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 276 +# remainingBudget: 224 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 42| 1200.116422| 13|00:53:44| NA| NA| NA| +|x| 2| 13| 43| 750.3545825| 21|00:35:49|-0.51|0.25|1.3389| +|x| 11| 13| 41| 666.8647710| 29|00:35:50|-0.11|0.26|1.0112| +|x| 8| 13| 41| 805.2868343| 37|00:35:49|-0.07|0.20|0.9173| +|=| 1| 13| 41| 744.2311048| 45|00:35:50|+0.01|0.20|0.9345| +|=| 3| 13| 41| 820.7139132| 53|00:35:49|+0.05|0.21|0.8817| +|=| 7| 13| 41| 746.3339984| 61|00:35:50|+0.07|0.20|0.8841| +|=| 6| 13| 41| 803.4475245| 69|00:35:49|+0.05|0.17|0.8682| +|=| 10| 13| 41| 747.5166216| 77|00:35:52|+0.07|0.18|0.8803| +|=| 9| 13| 40| 724.2789677| 85|00:35:49|+0.04|0.13|0.9239| +|=| 5| 13| 41| 684.3453115| 93|00:35:50|+0.06|0.14|0.9143| +|=| 4| 13| 41| 668.9840828| 101|00:35:50|+0.05|0.13|0.9013| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 668.9840828 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 10 33 0.50571 89 13 53 77 72 26 + +# 2023-09-08 22:36:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 10 33 0.50571 89 13 53 77 72 +43 9 40 0.28205 49 21 3 21 48 +26 10 45 0.29874 55 14 40 68 43 +40 8 17 0.59199 81 93 47 6 92 +34 9 40 0.82937 85 69 69 77 46 +# 2023-09-08 22:36:55 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 377 +# remainingBudget: 123 +# currentBudget: 123 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 34| 1200.375468| 14|01:00:54| NA| NA| NA| +|x| 12| 14| 41| 1200.418406| 23|00:35:49|+0.42|0.71|0.5253| +|x| 11| 14| 41| 966.9494070| 32|00:35:50|+0.24|0.49|0.5749| +|x| 10| 14| 41| 800.2294048| 41|00:35:52|+0.06|0.29|0.8670| +|=| 8| 14| 41| 884.2941286| 50|00:35:49|+0.02|0.22|0.9288| +|=| 2| 14| 41| 786.9343583| 59|00:35:51|-0.00|0.16|0.9139| +|=| 3| 14| 54| 843.4390777| 68|00:35:50|+0.05|0.18|0.8631| +|=| 9| 14| 40| 805.3043400| 77|00:35:50|+0.01|0.14|0.9131| +|=| 5| 14| 26| 747.4669806| 86|00:35:50|-0.00|0.11|0.9225| +|=| 7| 14| 26| 702.7221053| 95|00:35:51|+0.02|0.12|0.9190| +|=| 6| 14| 26| 749.8032271| 104|00:35:50|+0.03|0.12|0.9294| +|=| 4| 14| 41| 727.3491852| 113|00:35:50|+0.03|0.11|0.9263| +|=| 1| 14| 41| 709.8614161| 122|00:35:49|+0.05|0.12|0.9131| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 709.8614161 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 10 33 0.50571 89 13 53 77 72 26 + +# 2023-09-09 06:47:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 10 33 0.50571 89 13 53 77 72 +26 10 45 0.29874 55 14 40 68 43 +40 8 17 0.59199 81 93 47 6 92 +46 10 30 0.39885 86 17 37 63 77 +43 9 40 0.28205 49 21 3 21 48 +# 2023-09-09 06:47:56 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 862084.3, CPU sys time: 41.623, Wall-clock time: 120643.3 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 10 33 0.50571 89 13 53 77 72 +26 10 45 0.29874 55 14 40 68 43 +40 8 17 0.59199 81 93 47 6 92 +46 10 30 0.39885 86 17 37 63 77 +43 9 40 0.28205 49 21 3 21 48 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +41 -K10 -k33 -M0.50571 -Q89 -G13 -D53 -O77 -L72 +26 -K10 -k45 -M0.29874 -Q55 -G14 -D40 -O68 -L43 +40 -K8 -k17 -M0.59199 -Q81 -G93 -D47 -O6 -L92 +46 -K10 -k30 -M0.39885 -Q86 -G17 -D37 -O63 -L77 +43 -K9 -k40 -M0.28205 -Q49 -G21 -D3 -O21 -L48 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 06:47:56 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-44.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-44.txt new file mode 100644 index 000000000..ce6a2586c --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-44.txt @@ -0,0 +1,258 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 05:09:40 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1422724735 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 05:09:40 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 500.0035700| 16|00:43:59| NA| NA| NA| +|x| 2| 16| 1| 400.0884430| 32|00:44:03|+0.78|0.89|0.1810| +|x| 3| 16| 4| 667.1949170| 48|00:43:59|+0.57|0.72|0.4596| +|x| 4| 16| 16| 630.2512228| 64|00:44:00|+0.60|0.70|0.4403| +|-| 5| 7| 16| 564.2264986| 80|00:44:01|-0.11|0.11|0.9231| +|=| 6| 7| 16| 670.3223317| 87|00:36:39|-0.03|0.14|0.9052| +|=| 7| 7| 16| 617.5063901| 94|00:36:40|-0.07|0.08|0.9362| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 617.5063901 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 7 28 0.82083 79 82 12 72 31 NA + +# 2023-09-08 10:03:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 7 28 0.82083 79 82 12 72 31 +4 9 13 0.69897 98 71 25 39 84 +1 6 13 0.27360 55 55 54 76 7 +9 8 6 0.42908 12 47 4 19 33 +10 10 35 0.72833 63 8 86 87 50 +# 2023-09-08 10:03:04 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 500.0196950| 17|01:02:19| NA| NA| NA| +|x| 1| 17| 28| 500.0165775| 29|00:36:46|+0.46|0.73|0.3819| +|x| 6| 17| 28| 733.7993183| 41|00:36:42|+0.23|0.49|0.7444| +|x| 2| 17| 28| 625.3771323| 53|00:36:49|+0.39|0.54|0.5948| +|-| 4| 12| 28| 600.3138990| 65|00:36:42|+0.04|0.23|0.9075| +|=| 3| 12| 17| 703.5486548| 72|00:36:40|+0.08|0.23|0.8957| +|=| 7| 12| 28| 643.3619151| 79|00:36:40|+0.09|0.22|0.8887| +|=| 5| 12| 28| 600.4458352| 86|00:36:40|+0.11|0.22|0.8604| +|-| 9| 6| 28| 667.6070684| 98|00:36:46|-0.02|0.09|0.7779| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 669.2212609 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 8 20 0.69868 59 3 80 12 69 10 + +# 2023-09-08 15:59:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 8 20 0.69868 59 3 80 12 69 +28 10 24 0.66713 44 75 26 61 13 +20 10 40 0.10362 90 40 17 59 72 +25 10 23 0.69574 57 43 50 40 70 +16 7 28 0.82083 79 82 12 72 31 +# 2023-09-08 15:59:13 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 36| 500.0047640| 14|00:54:59| NA| NA| NA| +|x| 8| 14| 28| 500.0136740| 23|00:36:39|+0.70|0.85|0.3522| +|x| 4| 14| 28| 500.0294380| 32|00:36:40|+0.07|0.38|0.6503| +|x| 6| 14| 28| 675.3632785| 41|00:36:39|-0.00|0.25|0.8291| +|=| 3| 14| 28| 780.6647938| 50|00:36:41|+0.09|0.28|0.7794| +|=| 5| 14| 28| 700.5595408| 59|00:36:43|+0.11|0.26|0.7514| +|-| 7| 12| 28| 643.3500430| 68|00:36:45|-0.08|0.07|0.9312| +|=| 1| 12| 28| 625.4329701| 75|00:36:41|-0.09|0.05|0.9365| +|=| 2| 12| 28| 589.2860372| 82|00:36:42|-0.06|0.06|0.9158| +|=| 9| 12| 28| 650.8471269| 89|00:36:40|-0.03|0.07|0.8921| +|=| 11| 12| 28| 702.6073601| 101|00:36:45|-0.04|0.05|0.9265| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 702.6073601 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 24 0.66713 44 75 26 61 13 4 + +# 2023-09-08 23:01:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 24 0.66713 44 75 26 61 13 +36 9 33 0.49535 57 43 77 42 42 +20 10 40 0.10362 90 40 17 59 72 +17 8 20 0.69868 59 3 80 12 69 +31 7 33 0.86421 71 87 10 36 32 +# 2023-09-08 23:01:12 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 293 +# remainingBudget: 207 +# currentBudget: 103 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 40| 300.0602170| 13|00:47:48| NA| NA| NA| +|x| 8| 13| 40| 400.0406075| 21|00:36:39|-0.02|0.49|0.7025| +|x| 3| 13| 36| 667.5713030| 29|00:36:39|-0.04|0.31|0.8190| +|x| 9| 13| 36| 800.8113250| 37|00:36:40|-0.02|0.23|0.8780| +|=| 10| 13| 36| 740.6500128| 45|00:36:40|+0.10|0.28|0.7720| +|=| 6| 13| 36| 817.4445260| 53|00:36:39|+0.11|0.26|0.7935| +|=| 11| 13| 36| 875.1838399| 61|00:36:39|+0.06|0.19|0.8436| +|=| 2| 13| 36| 803.2885134| 69|00:36:40|+0.07|0.19|0.8208| +|=| 1| 13| 36| 769.5969558| 77|00:36:39|+0.08|0.18|0.8064| +|=| 5| 13| 28| 722.8897812| 85|00:36:41|+0.07|0.17|0.8044| +|=| 4| 13| 28| 702.6326162| 93|00:36:39|+0.05|0.14|0.8347| +|=| 7| 13| 28| 669.0876528| 101|00:36:40|+0.05|0.13|0.8549| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 669.0876528 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 24 0.66713 44 75 26 61 13 4 + +# 2023-09-09 06:32:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 24 0.66713 44 75 26 61 13 +36 9 33 0.49535 57 43 77 42 42 +45 9 45 0.48907 36 25 37 19 39 +17 8 20 0.69868 59 3 80 12 69 +40 10 34 0.29811 67 29 47 52 68 +# 2023-09-09 06:32:22 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 394 +# remainingBudget: 106 +# currentBudget: 106 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 12| 40| 300.0732680| 12|00:36:46| NA| NA| NA| +|x| 12| 12| 40| 300.0667425| 19|00:33:00|+0.08|0.54|0.5499| +|x| 9| 12| 40| 600.4999143| 26|00:33:00|+0.22|0.48|0.5068| +|x| 8| 12| 40| 575.3801853| 33|00:33:02|+0.05|0.29|0.7881| +|=| 2| 12| 40| 520.3635982| 40|00:33:01|-0.07|0.15|0.9222| +|=| 4| 12| 40| 516.9796122| 47|00:33:01|-0.12|0.07|1.0075| +|=| 5| 12| 40| 485.9851589| 54|00:33:00|-0.09|0.07|1.0244| +|=| 1| 12| 40| 487.7521438| 61|00:33:01|-0.08|0.05|1.0061| +|=| 3| 12| 52| 566.8878334| 68|00:32:59|-0.09|0.03|0.9773| +|=| 10| 12| 28| 560.7489420| 75|00:32:59|-0.06|0.04|0.9721| +|=| 7| 12| 28| 537.0529524| 82|00:33:00|-0.05|0.05|0.9713| +|=| 6| 12| 28| 592.4122730| 89|00:33:00|-0.03|0.06|0.9500| +|=| 11| 12| 28| 640.7043822| 96|00:33:00|-0.02|0.06|0.9538| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 640.7043822 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 24 0.66713 44 75 26 61 13 4 + +# 2023-09-09 13:45:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 24 0.66713 44 75 26 61 13 +48 7 30 0.23259 38 99 5 63 5 +50 7 45 0.52618 50 26 60 4 33 +40 10 34 0.29811 67 29 47 52 68 +36 9 33 0.49535 57 43 77 42 42 +# 2023-09-09 13:45:16 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 832283, CPU sys time: 48.382, Wall-clock time: 117336.1 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 24 0.66713 44 75 26 61 13 +48 7 30 0.23259 38 99 5 63 5 +50 7 45 0.52618 50 26 60 4 33 +40 10 34 0.29811 67 29 47 52 68 +36 9 33 0.49535 57 43 77 42 42 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +28 -K10 -k24 -M0.66713 -Q44 -G75 -D26 -O61 -L13 +48 -K7 -k30 -M0.23259 -Q38 -G99 -D5 -O63 -L5 +50 -K7 -k45 -M0.52618 -Q50 -G26 -D60 -O4 -L33 +40 -K10 -k34 -M0.29811 -Q67 -G29 -D47 -O52 -L68 +36 -K9 -k33 -M0.49535 -Q57 -G43 -D77 -O42 -L42 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 13:45:16 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-45.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-45.txt new file mode 100644 index 000000000..84841b484 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-45.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 02:36:46 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 842678130 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 02:36:46 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 300.0185230| 16|00:41:14| NA| NA| NA| +|x| 2| 16| 13| 400.0101860| 32|00:41:15|+0.69|0.85|0.3167| +|x| 3| 16| 9| 666.8871147| 48|00:41:14|+0.60|0.73|0.3720| +|x| 4| 16| 4| 625.3867180| 64|00:41:15|+0.61|0.71|0.3318| +|-| 5| 9| 4| 740.4363526| 80|00:41:15|-0.14|0.09|1.0412| +|=| 6| 9| 4| 667.0733190| 89|00:37:29|-0.07|0.11|1.0115| +|=| 7| 9| 4| 643.2087829| 98|00:37:30|-0.00|0.14|0.9411| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 643.2087829 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 8 39 0.31387 76 96 75 88 24 NA + +# 2023-09-08 07:18:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 8 39 0.31387 76 96 75 88 24 +9 10 14 0.37066 89 8 85 54 14 +13 10 30 0.48251 71 30 49 25 29 +2 10 27 0.29229 80 84 58 91 43 +1 5 39 0.15146 97 37 12 29 39 +# 2023-09-08 07:18:01 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 4| 1200.245604| 16|00:56:18| NA| NA| NA| +|x| 1| 16| 24| 750.4567485| 27|00:37:30|-0.44|0.28|0.7832| +|x| 3| 16| 26| 901.0513407| 38|00:37:29|-0.19|0.20|0.8745| +|x| 5| 16| 4| 975.5965675| 49|00:37:29|+0.02|0.27|0.7286| +|=| 2| 16| 26| 881.0974872| 60|00:37:29|+0.09|0.27|0.7349| +|-| 4| 14| 26| 817.5829607| 71|00:37:30|-0.03|0.14|0.9284| +|=| 7| 14| 26| 772.2142096| 80|00:37:29|+0.03|0.17|0.8866| +|=| 6| 14| 26| 713.1959706| 89|00:37:30|+0.05|0.17|0.8891| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 713.1959706 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 9 22 0.85438 99 60 32 28 52 13 + +# 2023-09-08 12:36:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 9 22 0.85438 99 60 32 28 52 +17 10 14 0.22746 97 30 77 53 11 +27 10 16 0.57872 70 25 22 70 2 +18 7 15 0.31622 66 36 7 45 49 +4 8 39 0.31387 76 96 75 88 24 +# 2023-09-08 12:36:50 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 33| 300.0241290| 16|01:07:29| NA| NA| NA| +|x| 1| 16| 33| 300.0250300| 27|00:37:30|+0.51|0.75|0.3134| +|x| 2| 16| 33| 366.6967590| 38|00:37:29|-0.01|0.32|0.8515| +|x| 7| 16| 27| 400.0381362| 49|00:37:29|+0.09|0.32|0.8040| +|=| 6| 16| 27| 380.0451702| 60|00:37:30|+0.13|0.30|0.8481| +|=| 3| 16| 26| 516.8239512| 71|00:37:29|+0.11|0.26|0.8737| +|=| 5| 16| 26| 614.7531819| 82|00:37:30|+0.08|0.21|0.8684| +|-| 4| 11| 26| 600.4103251| 93|00:37:30|-0.03|0.10|0.9178| +|=| 8| 11| 26| 667.3015712| 99|00:37:29|-0.01|0.10|0.9027| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 667.3015712 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 9 22 0.85438 99 60 32 28 52 13 + +# 2023-09-08 18:44:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 9 22 0.85438 99 60 32 28 52 +33 10 10 0.34652 78 51 11 54 4 +28 10 14 0.25754 91 49 65 77 26 +27 10 16 0.57872 70 25 22 70 2 +4 8 39 0.31387 76 96 75 88 24 +# 2023-09-08 18:44:20 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 286 +# remainingBudget: 214 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 27| 300.0417030| 15|01:07:29| NA| NA| NA| +|x| 2| 15| 27| 400.0208570| 25|00:37:30|+0.06|0.53|0.9374| +|x| 3| 15| 27| 667.2449057| 35|00:37:29|-0.05|0.30|0.9449| +|x| 8| 15| 43| 800.5704450| 45|00:37:29|-0.03|0.23|0.8884| +|=| 4| 15| 43| 740.4564082| 55|00:37:29|+0.08|0.27|0.8106| +|=| 7| 15| 43| 700.3872142| 65|00:37:29|+0.05|0.21|0.8933| +|=| 5| 15| 43| 771.8305527| 75|00:37:29|+0.05|0.19|0.8938| +|=| 9| 15| 43| 712.9206591| 85|00:37:32|+0.03|0.15|0.8988| +|=| 1| 15| 43| 667.0420439| 95|00:37:31|+0.04|0.14|0.8969| +|=| 6| 15| 43| 630.3389515| 105|00:37:29|+0.07|0.16|0.8841| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 630.3389515 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 30 0.35783 85 84 45 47 7 33 + +# 2023-09-09 01:29:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 30 0.35783 85 84 45 47 7 +40 10 24 0.70041 98 84 44 33 32 +27 10 16 0.57872 70 25 22 70 2 +42 10 31 0.66750 95 69 28 46 42 +33 10 10 0.34652 78 51 11 54 4 +# 2023-09-09 01:29:23 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 56| 500.0006400| 14|01:03:47| NA| NA| NA| +|x| 6| 14| 49| 400.0181250| 23|00:37:30|+0.00|0.50|0.9659| +|x| 1| 14| 43| 366.6930293| 32|00:37:29|-0.04|0.30|1.0003| +|x| 5| 14| 43| 575.1424180| 41|00:37:29|-0.05|0.21|1.0532| +|=| 9| 14| 33| 520.1568404| 50|00:37:30|-0.08|0.13|1.0679| +|=| 7| 14| 33| 516.8049270| 59|00:37:29|-0.06|0.11|1.0171| +|=| 10| 14| 56| 488.8140366| 68|00:37:29|-0.10|0.06|1.0271| +|=| 4| 14| 33| 487.6180763| 77|00:37:30|-0.06|0.07|0.9877| +|=| 8| 14| 43| 566.9551220| 86|00:37:29|-0.06|0.06|0.9786| +|=| 3| 14| 43| 630.3444122| 95|00:37:29|-0.04|0.07|0.9627| +|=| 2| 14| 43| 618.4949419| 104|00:37:30|-0.02|0.07|0.9571| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 618.4949419 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 10 30 0.35783 85 84 45 47 7 33 + +# 2023-09-09 08:48:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 30 0.35783 85 84 45 47 7 +33 10 10 0.34652 78 51 11 54 4 +40 10 24 0.70041 98 84 44 33 32 +42 10 31 0.66750 95 69 28 46 42 +56 9 15 0.34812 81 81 29 41 0 +# 2023-09-09 08:48:11 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 904901.7, CPU sys time: 37.75, Wall-clock time: 108685 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 10 30 0.35783 85 84 45 47 7 +33 10 10 0.34652 78 51 11 54 4 +40 10 24 0.70041 98 84 44 33 32 +42 10 31 0.66750 95 69 28 46 42 +56 9 15 0.34812 81 81 29 41 0 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +43 -K10 -k30 -M0.35783 -Q85 -G84 -D45 -O47 -L7 +33 -K10 -k10 -M0.34652 -Q78 -G51 -D11 -O54 -L4 +40 -K10 -k24 -M0.70041 -Q98 -G84 -D44 -O33 -L32 +42 -K10 -k31 -M0.6675 -Q95 -G69 -D28 -O46 -L42 +56 -K9 -k15 -M0.34812 -Q81 -G81 -D29 -O41 -L0 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 08:48:11 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-46.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-46.txt new file mode 100644 index 000000000..b8c9f61da --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-46.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-09 07:15:16 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 597457929 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-09 07:15:16 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 300.1015440| 16|00:38:19| NA| NA| NA| +|x| 2| 16| 3| 400.0608920| 32|00:38:19|+0.38|0.69|0.4159| +|x| 3| 16| 3| 673.4231290| 48|00:38:19|+0.28|0.52|0.7102| +|x| 4| 16| 3| 810.1675753| 64|00:38:19|+0.23|0.43|0.7750| +|-| 5| 13| 3| 748.1480948| 80|00:38:20|-0.12|0.11|1.0644| +|=| 6| 13| 3| 673.4637402| 93|00:38:20|-0.03|0.15|0.9765| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 3 mean value: 673.4637402 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +3 3 9 14 0.51499 73 11 90 25 69 NA + +# 2023-09-09 11:05:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +3 9 14 0.51499 73 11 90 25 69 +7 10 2 0.94464 4 20 11 92 63 +1 6 23 0.42819 55 48 19 4 63 +13 5 15 0.15813 77 91 6 5 84 +9 9 31 0.17094 43 8 3 52 40 +# 2023-09-09 11:05:16 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 93 +# remainingBudget: 407 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 9| 300.0305500| 18|01:01:19| NA| NA| NA| +|x| 6| 18| 9| 300.0305585| 31|00:38:22|+0.56|0.78|0.1882| +|x| 4| 18| 20| 600.1827040| 44|00:38:19|+0.26|0.51|0.6240| +|x| 3| 18| 20| 750.1857805| 57|00:38:20|+0.19|0.40|0.7178| +|-| 2| 12| 20| 700.1707978| 70|00:38:19|-0.03|0.18|0.9667| +|=| 5| 12| 20| 666.8116942| 77|00:38:19|-0.01|0.16|0.9342| +|=| 1| 12| 20| 614.4140616| 84|00:38:20|+0.04|0.18|0.8902| +|=| 8| 12| 24| 690.2920246| 96|00:38:20|+0.06|0.17|0.9006| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 690.2920246 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 8 33 0.61027 91 65 1 19 86 13 + +# 2023-09-09 16:34:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 8 33 0.61027 91 65 1 19 86 +20 8 30 0.59441 95 27 100 23 56 +3 9 14 0.51499 73 11 90 25 69 +22 9 6 0.40165 54 74 36 53 35 +28 10 12 0.72765 41 48 9 60 46 +# 2023-09-09 16:34:58 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 189 +# remainingBudget: 311 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 39| 500.0275940| 15|00:46:00| NA| NA| NA| +|x| 4| 15| 39| 850.2173035| 25|00:38:19|+0.30|0.65|1.1051| +|x| 2| 15| 39| 733.4782733| 35|00:38:19|+0.20|0.47|0.9356| +|x| 3| 15| 39| 850.1953137| 45|00:38:20|+0.29|0.47|0.8159| +|-| 7| 9| 34| 740.1945780| 55|00:38:21|+0.03|0.22|0.9440| +|=| 6| 9| 34| 666.8333865| 59|00:38:19|+0.07|0.22|0.9208| +|=| 5| 9| 34| 643.0000767| 63|00:38:19|+0.05|0.18|0.9265| +|=| 8| 9| 34| 712.7390893| 67|00:38:20|+0.03|0.15|0.9187| +|=| 1| 9| 34| 666.8854680| 71|00:38:19|-0.00|0.11|0.9132| +|=| 10| 9| 34| 720.2255668| 80|00:38:19|+0.03|0.13|0.8985| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 720.2255668 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 10 29 0.82661 99 66 0 9 77 24 + +# 2023-09-09 23:05:59 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 10 29 0.82661 99 66 0 9 77 +39 7 33 0.83403 88 67 1 63 39 +20 8 30 0.59441 95 27 100 23 56 +35 10 7 0.11424 74 92 30 70 0 +24 8 33 0.61027 91 65 1 19 86 +# 2023-09-09 23:05:59 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 269 +# remainingBudget: 231 +# currentBudget: 115 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 45| 500.0010530| 15|01:05:09| NA| NA| NA| +|x| 8| 15| 45| 850.4409375| 25|00:38:20|-0.16|0.42|1.0278| +|x| 7| 15| 45| 666.9848053| 35|00:38:21|-0.06|0.29|0.9203| +|x| 5| 15| 24| 625.1979832| 45|00:38:20|-0.09|0.18|1.0242| +|=| 6| 15| 34| 560.2145910| 55|00:38:21|-0.07|0.14|1.0280| +|=| 2| 15| 34| 550.1788272| 65|00:38:19|-0.04|0.13|0.9918| +|=| 4| 15| 34| 643.0624799| 75|00:38:21|-0.05|0.10|1.0163| +|=| 1| 15| 34| 600.1867321| 85|00:38:22|-0.04|0.09|0.9849| +|=| 9| 15| 34| 589.0592778| 95|00:38:20|-0.01|0.10|0.9681| +|=| 3| 15| 34| 650.2049125| 105|00:38:20|+0.00|0.10|0.9626| +|=| 10| 15| 34| 700.2123255| 115|00:38:21|+0.04|0.12|0.9319| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 700.2123255 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 10 29 0.82661 99 66 0 9 77 24 + +# 2023-09-10 06:34:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 10 29 0.82661 99 66 0 9 77 +45 9 22 0.46724 89 7 95 4 33 +42 8 19 0.75816 87 89 41 28 69 +39 7 33 0.83403 88 67 1 63 39 +24 8 33 0.61027 91 65 1 19 86 +# 2023-09-10 06:34:39 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 54| 300.0369080| 14|01:05:13| NA| NA| NA| +|x| 1| 14| 54| 300.0524670| 23|00:38:20|-0.10|0.45|1.0361| +|x| 10| 14| 34| 600.1499093| 32|00:38:20|-0.27|0.15|1.0498| +|x| 4| 14| 34| 750.2035310| 41|00:38:19|-0.04|0.22|0.9639| +|=| 3| 14| 34| 840.2659498| 50|00:38:20|-0.07|0.15|1.0027| +|=| 11| 14| 34| 783.5682770| 59|00:38:19|-0.07|0.11|1.0026| +|=| 8| 14| 34| 843.1888341| 68|00:38:20|-0.03|0.12|0.9899| +|=| 2| 14| 34| 800.2902309| 77|00:38:19|+0.03|0.15|0.9512| +|=| 7| 14| 34| 744.7083406| 86|00:38:19|+0.00|0.11|0.9629| +|=| 5| 14| 34| 720.2375283| 95|00:38:20|-0.01|0.10|0.9809| +|=| 6| 14| 34| 682.0366102| 104|00:38:20|+0.01|0.10|0.9697| +|=| 9| 14| 34| 666.8701962| 113|00:38:20|+0.03|0.11|0.9430| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 666.8701962 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +34 34 10 29 0.82661 99 66 0 9 77 24 + +# 2023-09-10 14:41:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 10 29 0.82661 99 66 0 9 77 +45 9 22 0.46724 89 7 95 4 33 +39 7 33 0.83403 88 67 1 63 39 +54 8 22 0.78910 100 79 0 54 44 +51 10 26 0.60872 70 68 32 11 64 +# 2023-09-10 14:41:33 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 885449.5, CPU sys time: 44.837, Wall-clock time: 113177 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +34 10 29 0.82661 99 66 0 9 77 +45 9 22 0.46724 89 7 95 4 33 +39 7 33 0.83403 88 67 1 63 39 +54 8 22 0.78910 100 79 0 54 44 +51 10 26 0.60872 70 68 32 11 64 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +34 -K10 -k29 -M0.82661 -Q99 -G66 -D0 -O9 -L77 +45 -K9 -k22 -M0.46724 -Q89 -G7 -D95 -O4 -L33 +39 -K7 -k33 -M0.83403 -Q88 -G67 -D1 -O63 -L39 +54 -K8 -k22 -M0.7891 -Q100 -G79 -D0 -O54 -L44 +51 -K10 -k26 -M0.60872 -Q70 -G68 -D32 -O11 -L64 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 14:41:33 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-47.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-47.txt new file mode 100644 index 000000000..672160c8f --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-47.txt @@ -0,0 +1,259 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 20:45:03 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1701721222 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 20:45:03 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 300.0794660| 16|00:46:59| NA| NA| NA| +|x| 2| 16| 15| 400.0479380| 32|00:46:59|+0.76|0.88|0.1655| +|x| 3| 16| 3| 667.1347440| 48|00:46:59|+0.58|0.72|0.4119| +|x| 4| 16| 3| 625.3564392| 64|00:47:00|+0.61|0.71|0.4159| +|-| 5| 7| 3| 741.1485014| 80|00:46:59|+0.03|0.23|0.8086| +|=| 6| 7| 2| 667.2842440| 87|00:39:10|+0.02|0.18|0.8688| +|=| 7| 7| 16| 619.4718041| 94|00:39:09|-0.04|0.11|0.9336| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 619.4718041 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 10 13 0.80909 49 34 97 76 92 NA + +# 2023-09-09 01:58:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 10 13 0.80909 49 34 97 76 92 +2 9 40 0.38397 61 61 26 54 23 +3 9 27 0.38986 45 78 80 100 78 +12 6 10 0.59679 58 17 25 29 98 +15 8 33 0.12447 66 55 38 1 65 +# 2023-09-09 01:58:23 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 1200.301352| 17|01:02:40| NA| NA| NA| +|x| 5| 17| 19| 1203.174158| 29|00:39:09|-0.12|0.44|0.8849| +|x| 7| 17| 28| 907.1507333| 41|00:39:11|+0.08|0.39|0.9616| +|x| 2| 17| 28| 805.3673317| 53|00:39:09|+0.10|0.33|0.9498| +|-| 1| 9| 28| 704.2979476| 65|00:39:12|+0.21|0.37|0.8227| +|-| 6| 8| 28| 636.9186643| 69|00:39:09|+0.24|0.37|0.7916| +|!| 4| 8| 28| 617.3604926| 72|00:39:09|+0.21|0.32|0.7932| +|=| 3| 8| 28| 692.7789507| 75|00:39:09|+0.05|0.17|0.8648| +|=| 9| 8| 28| 671.3591253| 83|00:39:10|+0.08|0.18|0.8384| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 28 mean value: 671.3591253 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +28 28 10 34 0.57413 91 79 72 64 56 16 + +# 2023-09-09 08:14:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +28 10 34 0.57413 91 79 72 64 56 +21 10 42 0.30410 51 8 30 62 61 +22 8 14 0.38022 81 37 54 83 39 +15 8 33 0.12447 66 55 38 1 65 +3 9 27 0.38986 45 78 80 100 78 +# 2023-09-09 08:14:26 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 177 +# remainingBudget: 323 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 36| 500.0013730| 15|00:58:44| NA| NA| NA| +|x| 4| 15| 36| 500.0131290| 25|00:35:14|-0.11|0.44|1.0288| +|x| 3| 15| 22| 735.0691433| 35|00:35:15|-0.05|0.30|0.8228| +|x| 8| 15| 22| 851.4770143| 45|00:35:14|-0.00|0.25|0.8892| +|=| 6| 15| 28| 744.2260900| 55|00:35:15|+0.05|0.24|0.8836| +|=| 2| 15| 22| 700.9939763| 65|00:35:15|+0.13|0.27|0.8411| +|-| 7| 10| 22| 643.7135529| 75|00:35:16|+0.00|0.14|0.8459| +|=| 5| 10| 28| 717.7873031| 80|00:35:14|+0.01|0.13|0.8351| +|=| 1| 10| 28| 671.3687596| 85|00:35:15|+0.05|0.15|0.8503| +|=| 9| 10| 28| 654.2319358| 90|00:35:14|+0.06|0.15|0.8528| +|=| 11| 10| 38| 702.5952159| 100|00:39:10|+0.04|0.13|0.8498| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 702.5952159 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 9 33 0.42332 69 14 27 79 68 21 + +# 2023-09-09 15:09:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 9 33 0.42332 69 14 27 79 68 +28 10 34 0.57413 91 79 72 64 56 +22 8 14 0.38022 81 37 54 83 39 +31 8 41 0.40255 37 35 20 41 21 +21 10 42 0.30410 51 8 30 62 61 +# 2023-09-09 15:09:38 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 42| 300.0270720| 13|00:54:51| NA| NA| NA| +|x| 4| 13| 22| 400.0537875| 21|00:39:10|-0.49|0.25|1.2577| +|x| 3| 13| 44| 667.5646173| 29|00:39:09|-0.07|0.29|0.9035| +|x| 6| 13| 22| 576.3255238| 37|00:39:10|-0.25|0.06|1.0444| +|=| 11| 13| 22| 701.2744992| 45|00:39:10|-0.11|0.11|0.9168| +|=| 1| 13| 22| 634.4027288| 53|00:39:09|-0.05|0.12|0.9294| +|=| 2| 13| 38| 617.4864833| 61|00:39:09|-0.02|0.13|0.9061| +|=| 9| 13| 38| 602.8006729| 69|00:39:09|+0.02|0.14|0.8979| +|=| 10| 13| 44| 589.4237606| 77|00:39:10|+0.02|0.13|0.8729| +|=| 8| 13| 38| 652.5399042| 85|00:39:10|+0.01|0.10|0.9195| +|=| 7| 13| 22| 618.8389983| 93|00:39:09|+0.00|0.09|0.9341| +|=| 5| 13| 38| 669.0491009| 101|00:39:10|-0.00|0.08|0.9365| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 669.0491009 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 9 33 0.42332 69 14 27 79 68 21 + +# 2023-09-09 23:15:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 9 33 0.42332 69 14 27 79 68 +44 10 33 0.55239 76 64 88 59 81 +22 8 14 0.38022 81 37 54 83 39 +28 10 34 0.57413 91 79 72 64 56 +31 8 41 0.40255 37 35 20 41 21 +# 2023-09-09 23:15:20 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 378 +# remainingBudget: 122 +# currentBudget: 122 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 54| 500.0000140| 14|01:10:29| NA| NA| NA| +|x| 4| 14| 55| 500.0064060| 23|00:39:10|+0.36|0.68|0.8015| +|x| 12| 14| 55| 433.3486790| 32|00:39:13|+0.30|0.53|0.7996| +|x| 6| 14| 49| 400.0299470| 41|00:39:12|+0.14|0.35|0.9432| +|=| 2| 14| 49| 420.0373616| 50|00:39:10|+0.14|0.31|0.8711| +|=| 11| 14| 31| 550.1873505| 59|00:39:09|+0.13|0.27|0.8929| +|-| 9| 10| 31| 543.0187149| 68|00:39:09|-0.05|0.10|0.9744| +|=| 8| 10| 31| 625.2174214| 73|00:39:10|-0.08|0.05|0.9608| +|=| 7| 10| 31| 589.0929742| 78|00:39:10|-0.07|0.05|0.9615| +|=| 1| 10| 55| 562.2477092| 83|00:39:10|-0.03|0.07|0.9578| +|=| 5| 10| 55| 620.3118996| 88|00:39:09|-0.03|0.07|0.9548| +|=| 10| 10| 55| 610.2859080| 93|00:39:10|-0.01|0.07|0.9562| +|=| 3| 10| 55| 657.3362225| 98|00:39:09|-0.03|0.05|0.9572| +|=| 14| 10| 55| 631.8191609| 108|00:39:15|-0.02|0.05|0.9558| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 631.8191609 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 10 37 0.46702 92 18 24 77 65 38 + +# 2023-09-10 08:55:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 37 0.46702 92 18 24 77 65 +49 10 39 0.49529 68 6 25 76 58 +44 10 33 0.55239 76 64 88 59 81 +54 10 10 0.27609 95 37 24 84 32 +52 10 43 0.52753 93 78 88 70 80 +# 2023-09-10 08:55:12 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 486 +# timeUsed: 0 +# remainingBudget: 14 +# currentBudget: 14 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 882425.7, CPU sys time: 45.885, Wall-clock time: 130209.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 10 37 0.46702 92 18 24 77 65 +49 10 39 0.49529 68 6 25 76 58 +44 10 33 0.55239 76 64 88 59 81 +54 10 10 0.27609 95 37 24 84 32 +52 10 43 0.52753 93 78 88 70 80 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +55 -K10 -k37 -M0.46702 -Q92 -G18 -D24 -O77 -L65 +49 -K10 -k39 -M0.49529 -Q68 -G6 -D25 -O76 -L58 +44 -K10 -k33 -M0.55239 -Q76 -G64 -D88 -O59 -L81 +54 -K10 -k10 -M0.27609 -Q95 -G37 -D24 -O84 -L32 +52 -K10 -k43 -M0.52753 -Q93 -G78 -D88 -O70 -L80 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 08:55:12 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-48.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-48.txt new file mode 100644 index 000000000..9c53f795d --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-48.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 09:17:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1950661163 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 09:17:15 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 300.0833740| 16|00:51:59| NA| NA| NA| +|x| 2| 16| 16| 400.0597880| 32|00:51:59|+0.84|0.92|0.0470| +|x| 3| 16| 16| 667.4275400| 48|00:51:59|+0.56|0.70|0.4420| +|x| 4| 16| 16| 625.5777043| 64|00:52:00|+0.64|0.73|0.3417| +|-| 5| 8| 16| 744.4463584| 80|00:51:59|+0.02|0.22|0.9725| +|=| 6| 8| 16| 670.3751028| 88|00:40:00|+0.09|0.24|0.8640| +|=| 7| 8| 16| 617.5055291| 96|00:39:59|+0.14|0.26|0.8211| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 617.5055291 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 10 9 0.87456 43 32 22 42 90 NA + +# 2023-09-08 14:57:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 10 9 0.87456 43 32 22 42 90 +12 6 32 0.62848 74 58 50 31 4 +8 10 44 0.90333 34 92 82 56 8 +6 6 14 0.34967 100 45 12 48 24 +1 9 28 0.18598 44 27 81 4 87 +# 2023-09-08 14:57:15 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 23| 1200.412973| 17|00:56:00| NA| NA| NA| +|x| 4| 17| 20| 850.4702280| 29|00:40:00|+0.21|0.61|0.7183| +|x| 3| 17| 28| 967.6457817| 41|00:40:00|+0.04|0.36|0.9983| +|x| 2| 17| 21| 855.2702043| 53|00:40:00|+0.12|0.34|0.8617| +|-| 7| 12| 21| 744.2432296| 65|00:40:01|+0.05|0.24|0.9563| +|=| 6| 12| 20| 670.6181063| 72|00:40:00|-0.07|0.11|1.0108| +|=| 5| 12| 20| 746.5274714| 79|00:39:59|-0.05|0.10|0.9848| +|=| 1| 12| 20| 690.7165173| 86|00:40:00|-0.04|0.09|0.9750| +|=| 9| 12| 20| 669.5301088| 98|00:39:59|-0.02|0.10|0.9439| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 669.5301088 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 10 6 0.65432 56 62 52 34 78 16 + +# 2023-09-08 21:13:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 6 0.65432 56 62 52 34 78 +21 9 41 0.57894 28 24 10 40 78 +24 7 37 0.49180 35 77 19 31 14 +8 10 44 0.90333 34 92 82 56 8 +12 6 32 0.62848 74 58 50 31 4 +# 2023-09-08 21:13:18 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 194 +# remainingBudget: 306 +# currentBudget: 102 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 37| 500.0031390| 14|01:04:00| NA| NA| NA| +|x| 5| 14| 12| 850.2657755| 23|00:40:00|+0.04|0.52|0.9668| +|x| 2| 14| 33| 733.5541517| 32|00:40:00|+0.23|0.49|0.7036| +|x| 6| 14| 33| 625.1808700| 41|00:40:02|+0.31|0.48|0.5933| +|-| 9| 9| 36| 600.2070662| 50|00:39:59|+0.07|0.25|0.8780| +|=| 4| 9| 36| 583.5086362| 54|00:40:00|+0.09|0.24|0.8738| +|=| 7| 9| 36| 543.0135743| 58|00:40:00|+0.10|0.23|0.8543| +|=| 8| 9| 20| 625.4091911| 62|00:39:59|+0.09|0.20|0.8486| +|=| 3| 9| 36| 691.4837270| 66|00:40:00|+0.07|0.17|0.8464| +|=| 1| 9| 36| 652.3398237| 70|00:39:59|+0.08|0.17|0.8374| +|=| 11| 9| 36| 702.4474478| 79|00:40:00|+0.06|0.15|0.8478| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 702.4474478 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 10 45 0.60815 69 63 51 47 55 20 + +# 2023-09-09 04:57:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 45 0.60815 69 63 51 47 55 +20 10 6 0.65432 56 62 52 34 78 +33 10 33 0.84646 55 66 59 66 4 +12 6 32 0.62848 74 58 50 31 4 +35 8 38 0.59449 51 34 39 66 77 +# 2023-09-09 04:57:22 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 273 +# remainingBudget: 227 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 46| 300.0207130| 14|01:00:02| NA| NA| NA| +|x| 11| 14| 20| 750.3480845| 23|00:40:01|+0.50|0.75|1.0014| +|x| 10| 14| 41| 667.0227787| 32|00:40:02|+0.38|0.59|0.7994| +|x| 2| 14| 20| 625.1849242| 41|00:40:03|+0.17|0.38|0.8212| +|-| 4| 9| 20| 600.1493662| 50|00:40:02|+0.11|0.29|0.8200| +|=| 9| 9| 20| 583.4642787| 54|00:39:59|+0.13|0.27|0.8267| +|=| 3| 9| 44| 674.5950227| 58|00:40:00|+0.03|0.16|0.8658| +|=| 7| 9| 44| 627.7717784| 62|00:40:00|+0.05|0.16|0.8585| +|=| 8| 9| 44| 691.4910610| 66|00:39:59|+0.03|0.14|0.8773| +|=| 5| 9| 44| 742.4654588| 70|00:39:59|+0.03|0.13|0.8724| +|=| 6| 9| 44| 702.2473725| 74|00:40:00|+0.03|0.12|0.8777| +|=| 1| 9| 44| 668.7330832| 78|00:39:59|+0.03|0.11|0.8601| +|=| 13| 9| 36| 709.8124221| 87|00:40:02|+0.04|0.11|0.8662| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 709.8124221 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 10 45 0.60815 69 63 51 47 55 20 + +# 2023-09-09 13:57:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 10 45 0.60815 69 63 51 47 55 +44 10 20 0.85901 64 49 60 42 70 +20 10 6 0.65432 56 62 52 34 78 +41 10 40 0.28109 99 61 26 61 43 +45 8 40 0.86061 71 26 44 36 83 +# 2023-09-09 13:57:37 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 360 +# remainingBudget: 140 +# currentBudget: 140 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 14| 55| 500.0001360| 14|01:11:59| NA| NA| NA| +|x| 6| 14| 47| 400.0222390| 23|00:40:05|-0.19|0.41|1.0464| +|x| 11| 14| 45| 666.9279703| 32|00:40:06|-0.06|0.29|0.8758| +|x| 4| 14| 44| 625.1501235| 41|00:40:05|-0.02|0.23|0.8825| +|=| 3| 14| 36| 740.9557098| 50|00:40:00|-0.08|0.14|0.9168| +|=| 9| 14| 36| 700.7964252| 59|00:40:01|+0.05|0.21|0.8021| +|=| 12| 14| 36| 643.5590099| 68|00:40:05|+0.02|0.16|0.7743| +|=| 5| 14| 36| 713.2326323| 77|00:40:02|+0.04|0.16|0.7739| +|=| 1| 14| 36| 667.3228613| 86|00:40:06|+0.03|0.14|0.7997| +|=| 13| 14| 36| 720.6410795| 95|00:40:06|+0.06|0.15|0.7762| +|-| 2| 9| 36| 700.5861015| 104|00:40:05|-0.01|0.08|0.9036| +|=| 8| 9| 36| 743.9708231| 108|00:39:59|-0.05|0.04|0.9273| +|=| 7| 9| 36| 709.8225446| 112|00:40:00|-0.04|0.04|0.9187| +|=| 10| 9| 36| 694.8359075| 116|00:39:59|-0.04|0.03|0.9271| +|=| 15| 9| 36| 668.5266843| 125|00:40:05|-0.04|0.03|0.9204| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 668.5266843 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 10 45 0.60815 69 63 51 47 55 20 + +# 2023-09-10 00:30:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 6 0.65432 56 62 52 34 78 +36 10 45 0.60815 69 63 51 47 55 +52 10 41 0.30365 83 43 14 36 38 +51 9 44 0.63735 75 70 41 31 54 +55 10 40 0.54791 72 67 49 56 41 +# 2023-09-10 00:30:29 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 485 +# timeUsed: 0 +# remainingBudget: 15 +# currentBudget: 15 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 926079.3, CPU sys time: 47.713, Wall-clock time: 141194.2 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 10 6 0.65432 56 62 52 34 78 +36 10 45 0.60815 69 63 51 47 55 +52 10 41 0.30365 83 43 14 36 38 +51 9 44 0.63735 75 70 41 31 54 +55 10 40 0.54791 72 67 49 56 41 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +20 -K10 -k6 -M0.65432 -Q56 -G62 -D52 -O34 -L78 +36 -K10 -k45 -M0.60815 -Q69 -G63 -D51 -O47 -L55 +52 -K10 -k41 -M0.30365 -Q83 -G43 -D14 -O36 -L38 +51 -K9 -k44 -M0.63735 -Q75 -G70 -D41 -O31 -L54 +55 -K10 -k40 -M0.54791 -Q72 -G67 -D49 -O56 -L41 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 00:30:29 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-49.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-49.txt new file mode 100644 index 000000000..c6af682c5 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-49.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 14:16:28 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 315867499 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 14:16:28 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 1200.449460| 16|00:57:09| NA| NA| NA| +|x| 2| 16| 5| 750.2404760| 32|00:57:09|+0.20|0.60|1.0260| +|x| 3| 16| 7| 667.0172943| 48|00:57:09|+0.20|0.46|0.8215| +|x| 4| 16| 16| 575.5882622| 64|00:57:10|+0.30|0.48|0.6957| +|-| 5| 6| 16| 560.4784626| 80|00:57:09|-0.06|0.15|0.8772| +|=| 6| 6| 16| 667.5631483| 86|00:40:50|-0.11|0.08|0.8999| +|=| 7| 6| 16| 746.5459304| 92|00:40:50|-0.11|0.05|0.8875| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 746.5459304 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 8 14 0.70883 74 82 7 28 97 NA + +# 2023-09-08 20:23:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 8 14 0.70883 74 82 7 28 97 +7 10 46 0.35240 100 44 9 52 0 +14 7 18 0.97419 40 24 27 97 13 +5 10 10 0.41217 76 16 74 39 19 +1 9 14 0.54284 63 100 29 36 93 +# 2023-09-08 20:23:58 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 7| 500.0006430| 17|00:53:04| NA| NA| NA| +|x| 7| 17| 1| 850.4076915| 29|00:36:44|-0.05|0.48|1.1646| +|x| 2| 17| 1| 666.9600677| 41|00:36:44|+0.16|0.44|0.9269| +|x| 3| 17| 21| 625.2051702| 53|00:36:45|+0.05|0.29|0.9577| +|=| 6| 17| 21| 740.2410598| 65|00:36:44|+0.07|0.25|0.9144| +|=| 4| 17| 21| 666.9132912| 77|00:36:45|+0.10|0.25|0.8451| +|=| 5| 17| 21| 643.0844031| 89|00:36:44|+0.10|0.22|0.8636| +|-| 1| 12| 21| 715.2883350| 101|00:36:44|-0.03|0.09|0.9861| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 717.8595209 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 10 46 0.3524 100 44 9 52 0 NA + +# 2023-09-09 01:34:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 10 46 0.35240 100 44 9 52 0 +21 8 12 0.68898 96 25 43 98 4 +25 6 28 0.91444 83 80 37 59 69 +1 9 14 0.54284 63 100 29 36 93 +5 10 10 0.41217 76 16 74 39 19 +# 2023-09-09 01:34:18 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 7| 300.0226710| 15|01:05:20| NA| NA| NA| +|x| 7| 15| 35| 750.3697470| 25|00:40:49|-0.47|0.26|1.4111| +|x| 2| 15| 35| 600.2561627| 35|00:40:50|-0.00|0.33|1.0860| +|x| 4| 15| 35| 525.2105733| 45|00:40:49|+0.01|0.26|1.0409| +|=| 8| 15| 7| 524.1132742| 55|00:40:49|+0.05|0.24|0.9448| +|=| 6| 15| 35| 633.6127088| 65|00:40:49|+0.06|0.22|0.8997| +|=| 5| 15| 35| 614.5303526| 75|00:40:50|+0.07|0.20|0.8888| +|=| 1| 15| 5| 692.8042283| 85|00:40:49|+0.04|0.16|0.9417| +|=| 3| 15| 7| 671.4332042| 95|00:40:50|+0.02|0.13|0.9445| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 7 mean value: 671.4332042 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +7 7 10 46 0.3524 100 44 9 52 0 NA + +# 2023-09-09 08:06:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +7 10 46 0.35240 100 44 9 52 0 +5 10 10 0.41217 76 16 74 39 19 +1 9 14 0.54284 63 100 29 36 93 +35 8 15 0.41353 54 4 89 43 9 +21 8 12 0.68898 96 25 43 98 4 +# 2023-09-09 08:06:18 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 288 +# remainingBudget: 212 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 7| 300.0216030| 15|01:01:16| NA| NA| NA| +|x| 2| 15| 5| 300.0307425| 25|00:40:50|+0.15|0.58|0.7191| +|x| 4| 15| 5| 300.0284147| 35|00:40:51|+0.24|0.49|0.8509| +|x| 3| 15| 48| 350.0461002| 45|00:40:49|+0.07|0.30|0.8980| +|=| 8| 15| 7| 380.0508082| 55|00:40:50|+0.12|0.29|0.8168| +|=| 6| 15| 7| 520.2511803| 65|00:40:49|+0.00|0.17|0.9157| +|=| 1| 15| 48| 617.3864294| 75|00:40:49|+0.01|0.15|0.9178| +|=| 9| 15| 7| 577.8101690| 85|00:40:50|+0.05|0.17|0.8978| +|=| 5| 15| 7| 569.1725124| 95|00:40:49|+0.03|0.14|0.9411| +|=| 7| 15| 47| 632.2296253| 105|00:40:50|+0.02|0.11|0.9479| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 47 mean value: 632.2296253 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +47 47 9 29 0.67786 99 85 55 3 73 1 + +# 2023-09-09 15:15:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +47 9 29 0.67786 99 85 55 3 73 +7 10 46 0.35240 100 44 9 52 0 +48 9 13 0.25193 48 21 72 31 56 +5 10 10 0.41217 76 16 74 39 19 +42 9 30 0.15658 68 27 34 78 16 +# 2023-09-09 15:15:05 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 393 +# remainingBudget: 107 +# currentBudget: 107 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 56| 1200.245520| 14|01:01:15| NA| NA| NA| +|x| 1| 14| 56| 1200.344159| 23|00:36:49|-0.07|0.46|1.2405| +|x| 6| 14| 57| 1201.145506| 32|00:36:46|-0.29|0.14|1.1106| +|x| 9| 14| 49| 980.8795380| 41|00:36:47|-0.22|0.09|1.0844| +|=| 2| 14| 47| 848.3880776| 50|00:36:46|-0.19|0.05|1.0293| +|=| 5| 14| 57| 783.9428257| 59|00:36:44|-0.12|0.06|1.0178| +|=| 7| 14| 53| 846.1963089| 68|00:36:46|-0.08|0.08|0.9756| +|=| 10| 14| 53| 777.9273129| 77|00:36:48|-0.05|0.08|0.9674| +|=| 8| 14| 7| 751.4877273| 86|00:36:45|-0.01|0.10|0.9467| +|=| 4| 14| 7| 706.3521057| 95|00:36:47|+0.01|0.11|0.9142| +|=| 3| 14| 47| 685.7087585| 104|00:36:46|+0.01|0.10|0.9118| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 47 mean value: 685.7087585 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +47 47 9 29 0.67786 99 85 55 3 73 1 + +# 2023-09-09 22:24:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +47 9 29 0.67786 99 85 55 3 73 +57 8 33 0.87230 87 100 41 8 90 +7 10 46 0.35240 100 44 9 52 0 +53 8 38 0.23592 80 41 8 63 17 +52 8 33 0.71033 74 89 45 16 56 +# 2023-09-09 22:24:09 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 910696.5, CPU sys time: 48.866, Wall-clock time: 115661 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +47 9 29 0.67786 99 85 55 3 73 +57 8 33 0.87230 87 100 41 8 90 +7 10 46 0.35240 100 44 9 52 0 +53 8 38 0.23592 80 41 8 63 17 +52 8 33 0.71033 74 89 45 16 56 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +47 -K9 -k29 -M0.67786 -Q99 -G85 -D55 -O3 -L73 +57 -K8 -k33 -M0.8723 -Q87 -G100 -D41 -O8 -L90 +7 -K10 -k46 -M0.3524 -Q100 -G44 -D9 -O52 -L0 +53 -K8 -k38 -M0.23592 -Q80 -G41 -D8 -O63 -L17 +52 -K8 -k33 -M0.71033 -Q74 -G89 -D45 -O16 -L56 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-09 22:24:09 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-5.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-5.txt new file mode 100644 index 000000000..e3add9f5d --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-5.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 23:35:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1731436369 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 23:35:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 7| 1202.992389| 16|00:04:59| NA| NA| NA| +|x| 2| 16| 12| 752.6499230| 32|00:04:59|+0.45|0.73|0.5641| +|x| 3| 16| 4| 674.2239650| 48|00:05:00|+0.50|0.67|0.6159| +|x| 4| 16| 14| 811.1355288| 64|00:04:59|+0.36|0.52|0.6531| +|-| 5| 8| 14| 748.9272076| 80|00:05:00|+0.03|0.23|0.8609| +|=| 6| 8| 14| 674.1626812| 88|00:04:10|+0.09|0.24|0.8043| +|=| 7| 8| 4| 649.2232304| 96|00:04:09|+0.06|0.19|0.8274| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 649.2232304 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 30 0.28926 94 81 9 18 78 NA + +# 2023-09-07 00:08:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 30 0.28926 94 81 9 18 78 +14 10 18 0.62463 73 48 73 61 67 +1 10 5 0.57704 70 32 85 17 93 +13 9 2 0.83083 52 89 25 31 16 +12 7 29 0.28956 58 96 65 46 8 +# 2023-09-07 00:08:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 300.1335510| 17|00:07:29| NA| NA| NA| +|x| 7| 17| 4| 400.2291050| 29|00:04:09|+0.63|0.81|0.3501| +|x| 3| 17| 4| 433.5046660| 41|00:04:10|+0.13|0.42|0.7929| +|x| 2| 17| 4| 400.3303760| 53|00:04:10|+0.20|0.40|0.7255| +|-| 5| 8| 4| 420.2779638| 65|00:04:09|+0.08|0.26|0.8519| +|=| 4| 8| 4| 553.7717145| 68|00:04:09|+0.03|0.19|0.8600| +|=| 1| 8| 4| 649.2055554| 71|00:04:10|-0.07|0.09|0.9320| +|=| 6| 8| 4| 605.6175236| 74|00:04:10|-0.03|0.10|0.9058| +|=| 9| 8| 4| 672.0860993| 82|00:04:10|+0.02|0.13|0.8653| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 672.0860993 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 30 0.28926 94 81 9 18 78 NA + +# 2023-09-07 00:49:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 30 0.28926 94 81 9 18 78 +27 10 31 0.90954 100 77 93 38 32 +25 9 1 0.72441 26 74 26 28 28 +26 7 27 0.51082 89 53 69 29 89 +1 10 5 0.57704 70 32 85 17 93 +# 2023-09-07 00:49:44 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 178 +# remainingBudget: 322 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 38| 300.2801440| 15|00:06:39| NA| NA| NA| +|x| 7| 15| 37| 400.2873095| 25|00:04:09|-0.11|0.44|1.1391| +|x| 8| 15| 27| 367.0805603| 35|00:04:10|-0.26|0.16|1.1509| +|x| 6| 15| 27| 350.3758853| 45|00:04:09|-0.13|0.15|1.0559| +|=| 9| 15| 27| 521.0649552| 55|00:04:09|-0.02|0.19|0.9687| +|=| 1| 15| 27| 637.8244260| 65|00:04:09|-0.05|0.13|0.9697| +|=| 2| 15| 27| 589.6516830| 75|00:04:10|-0.05|0.10|0.9865| +|=| 3| 15| 27| 578.4640510| 85|00:04:09|+0.00|0.13|0.9385| +|=| 4| 15| 27| 648.3105412| 95|00:04:09|+0.02|0.13|0.9139| +|=| 5| 15| 27| 633.5080548| 105|00:04:10|+0.03|0.12|0.9082| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 27 mean value: 633.5080548 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +27 27 10 31 0.90954 100 77 93 38 32 1 + +# 2023-09-07 01:33:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +27 10 31 0.90954 100 77 93 38 32 +4 10 30 0.28926 94 81 9 18 78 +25 9 1 0.72441 26 74 26 28 28 +1 10 5 0.57704 70 32 85 17 93 +38 9 30 0.49559 48 56 25 14 48 +# 2023-09-07 01:33:54 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 283 +# remainingBudget: 217 +# currentBudget: 108 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 4| 500.0620690| 14|00:06:39| NA| NA| NA| +|x| 2| 14| 27| 400.3552940| 23|00:04:10|+0.12|0.56|0.6839| +|x| 7| 14| 4| 433.6500697| 32|00:04:09|+0.26|0.50|0.6374| +|x| 1| 14| 4| 630.6897025| 41|00:04:09|+0.11|0.33|0.8240| +|=| 4| 14| 27| 745.9074532| 50|00:04:09|+0.09|0.27|0.8579| +|=| 10| 14| 27| 671.7026352| 59|00:04:10|+0.09|0.24|0.8873| +|=| 5| 14| 27| 647.2144983| 68|00:04:09|+0.06|0.19|0.9439| +|=| 3| 14| 4| 630.8737069| 77|00:04:10|+0.09|0.20|0.9096| +|=| 8| 14| 4| 594.1519146| 86|00:04:10|+0.07|0.18|0.9155| +|=| 6| 14| 40| 564.6583049| 95|00:04:10|+0.08|0.17|0.8808| +|-| 9| 13| 4| 622.8821125| 104|00:04:09|-0.02|0.08|0.9503| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 622.8821125 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 10 30 0.28926 94 81 9 18 78 NA + +# 2023-09-07 02:22:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 10 30 0.28926 94 81 9 18 78 +40 10 27 0.96310 63 73 96 29 31 +27 10 31 0.90954 100 77 93 38 32 +43 10 27 0.36472 87 62 0 37 96 +42 8 21 0.24686 48 70 23 15 80 +# 2023-09-07 02:22:14 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 43| 1202.872944| 14|00:07:29| NA| NA| NA| +|x| 1| 14| 51| 1212.483272| 23|00:04:10|-0.20|0.40|1.0276| +|x| 9| 14| 50| 1215.728522| 32|00:04:09|+0.02|0.35|0.9514| +|x| 10| 14| 42| 991.2019078| 41|00:04:10|+0.00|0.25|1.0243| +|=| 3| 14| 50| 889.6051826| 50|00:04:09|+0.04|0.24|0.9327| +|=| 2| 14| 50| 791.3585608| 59|00:04:10|+0.08|0.23|0.8979| +|=| 5| 14| 50| 749.7498729| 68|00:04:09|+0.05|0.19|0.9085| +|=| 11| 14| 50| 718.5459971| 77|00:04:09|+0.00|0.13|0.9362| +|=| 7| 14| 50| 694.2803001| 86|00:04:10|+0.01|0.12|0.9247| +|=| 8| 14| 50| 654.9036937| 95|00:04:10|+0.01|0.11|0.9085| +|=| 4| 14| 50| 706.3508327| 104|00:04:09|+0.01|0.10|0.9030| +|=| 6| 14| 50| 672.6321777| 113|00:04:10|+0.02|0.10|0.8905| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 672.6321777 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 10 16 0.40838 83 45 4 6 86 43 + +# 2023-09-07 03:15:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 16 0.40838 83 45 4 6 86 +4 10 30 0.28926 94 81 9 18 78 +40 10 27 0.96310 63 73 96 29 31 +27 10 31 0.90954 100 77 93 38 32 +51 9 22 0.47063 96 82 25 31 85 +# 2023-09-07 03:15:34 -03: Stopped because budget is exhausted +# Iteration: 6 +# nbIterations: 5 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 113 +# number of elites: 5 +# nbConfigurations: 14 +# Total CPU user time: 102148.1, CPU sys time: 8.993, Wall-clock time: 13199.88 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 10 16 0.40838 83 45 4 6 86 +4 10 30 0.28926 94 81 9 18 78 +40 10 27 0.96310 63 73 96 29 31 +27 10 31 0.90954 100 77 93 38 32 +51 9 22 0.47063 96 82 25 31 85 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K10 -k16 -M0.40838 -Q83 -G45 -D4 -O6 -L86 +4 -K10 -k30 -M0.28926 -Q94 -G81 -D9 -O18 -L78 +40 -K10 -k27 -M0.9631 -Q63 -G73 -D96 -O29 -L31 +27 -K10 -k31 -M0.90954 -Q100 -G77 -D93 -O38 -L32 +51 -K9 -k22 -M0.47063 -Q96 -G82 -D25 -O31 -L85 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 03:15:34 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-50.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-50.txt new file mode 100644 index 000000000..be2e4a15d --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-50.txt @@ -0,0 +1,283 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-08 08:45:24 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1046192005 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-08 08:45:24 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 11| 300.0686800| 16|00:50:15| NA| NA| NA| +|x| 2| 16| 15| 750.2822420| 32|00:50:00|+0.71|0.85|0.4119| +|x| 3| 16| 15| 666.8593953| 48|00:50:02|+0.69|0.80|0.3434| +|x| 4| 16| 15| 575.1688317| 64|00:50:15|+0.75|0.81|0.2660| +|-| 5| 2| 15| 560.1350654| 80|00:50:01|-0.20|0.04|0.6000| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 560.1350654 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-08 12:56:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +11 7 9 0.15153 78 5 7 44 27 +# 2023-09-08 12:56:00 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 16| 15| 1200.281180| 16|01:02:29| NA| NA| NA| +|x| 3| 16| 15| 850.1474410| 30|00:58:19|+0.18|0.59|0.8380| +|x| 4| 16| 15| 666.7973410| 44|00:58:32|+0.07|0.38|0.9423| +|x| 2| 16| 15| 800.2217895| 58|00:58:19|+0.17|0.38|0.8276| +|-| 5| 3| 15| 740.1774316| 72|00:58:20|+0.10|0.28|0.6994| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 666.8260845 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-08 17:52:02 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +11 7 9 0.15153 78 5 7 44 27 +27 9 29 0.64708 56 57 61 29 17 +# 2023-09-08 17:52:02 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 152 +# remainingBudget: 348 +# currentBudget: 116 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 16| 33| 300.0753390| 16|01:06:49| NA| NA| NA| +|x| 3| 16| 15| 400.0550375| 29|00:50:00|-0.08|0.46|1.1934| +|x| 2| 16| 15| 666.8684033| 42|00:50:01|+0.01|0.34|1.0631| +|x| 4| 16| 15| 575.1755877| 55|00:50:06|+0.14|0.35|0.9269| +|-| 1| 9| 15| 520.1543400| 69|00:54:21|-0.04|0.17|0.9608| +|=| 5| 9| 15| 516.7952833| 75|00:41:39|+0.05|0.20|0.8747| +|=| 6| 9| 15| 614.4361257| 81|00:41:39|+0.14|0.26|0.8091| +|=| 8| 9| 15| 600.1379115| 90|00:41:40|+0.13|0.24|0.8533| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 600.1379115 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-09 00:28:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +11 7 9 0.15153 78 5 7 44 27 +32 9 26 0.46490 71 40 52 34 68 +31 10 15 0.81566 33 58 73 23 18 +33 8 1 0.31426 73 1 40 29 53 +# 2023-09-09 00:28:21 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 242 +# remainingBudget: 258 +# currentBudget: 129 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 18| 31| 1200.629605| 18|01:10:51| NA| NA| NA| +|x| 3| 18| 55| 850.4497490| 31|00:54:09|-0.22|0.39|1.2265| +|x| 1| 18| 55| 666.9942267| 44|00:54:18|-0.09|0.27|0.9836| +|x| 8| 18| 55| 625.2578372| 57|00:54:09|+0.01|0.26|0.8303| +|=| 4| 18| 55| 560.2275474| 70|00:54:20|+0.08|0.26|0.7677| +|-| 7| 12| 51| 516.9627890| 83|00:54:22|-0.09|0.09|1.0156| +|=| 5| 12| 15| 517.5547120| 90|00:41:40|-0.04|0.11|0.9863| +|=| 6| 12| 15| 602.8955205| 97|00:41:39|-0.02|0.11|0.9572| +|=| 2| 12| 15| 669.2954777| 104|00:41:40|+0.01|0.12|0.9340| +|=| 10| 12| 15| 724.4207045| 116|00:41:44|+0.02|0.11|0.9471| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 724.4207045 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-09 08:57:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +55 8 13 0.29761 65 13 18 60 45 +51 10 24 0.47974 97 17 60 14 42 +45 7 12 0.22087 74 6 10 28 79 +31 10 15 0.81566 33 58 73 23 18 +# 2023-09-09 08:57:18 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 358 +# remainingBudget: 142 +# currentBudget: 142 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 17| 67| 500.0042810| 17|01:14:59| NA| NA| NA| +|x| 5| 17| 15| 500.0268690| 29|00:41:42|-0.31|0.35|1.1467| +|x| 8| 17| 15| 500.0347167| 41|00:41:42|-0.11|0.26|1.0657| +|x| 3| 17| 15| 500.0294630| 53|00:41:42|+0.00|0.25|0.9154| +|=| 10| 17| 15| 644.1331196| 65|00:41:44|-0.05|0.16|0.9780| +|=| 1| 17| 15| 586.7891578| 77|00:42:04|+0.02|0.18|0.9375| +|=| 4| 17| 15| 545.8331554| 89|00:41:59|+0.08|0.21|0.8807| +|-| 2| 8| 15| 627.6659029| 101|00:41:42|+0.08|0.19|0.8715| +|=| 6| 8| 15| 691.2898226| 104|00:41:40|+0.07|0.17|0.8782| +|=| 7| 8| 15| 652.1704776| 107|00:41:40|+0.06|0.16|0.8552| +|=| 9| 8| 15| 704.0237075| 110|00:41:39|+0.02|0.11|0.8754| +|=| 12| 8| 15| 670.3623440| 118|00:41:43|+0.01|0.10|0.8701| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 670.3623440 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-09 17:51:40 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +51 10 24 0.47974 97 17 60 14 42 +55 8 13 0.29761 65 13 18 60 45 +58 10 22 0.48001 92 12 63 4 47 +45 7 12 0.22087 74 6 10 28 79 +# 2023-09-09 17:51:40 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 476 +# remainingBudget: 24 +# currentBudget: 24 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 6| 51| 500.0051590| 6|00:41:40| NA| NA| NA| +|x| 9| 6| 58| 850.1088345| 7|00:41:39|+0.09|0.54|0.6174| +|x| 7| 6| 58| 666.7482227| 8|00:41:39|+0.41|0.61|0.4620| +|x| 11| 6| 58| 625.0773638| 9|00:41:40|+0.05|0.29|0.8332| +|=| 12| 6| 58| 560.0700792| 10|00:41:39|+0.13|0.31|0.7872| +|=| 10| 6| 51| 670.4258552| 11|00:41:40|-0.06|0.11|0.8455| +|=| 4| 6| 58| 617.5378956| 12|00:41:39|-0.03|0.12|0.8364| +|=| 6| 6| 58| 690.6695041| 13|00:41:39|-0.06|0.08|0.8306| +|=| 5| 6| 15| 671.5285023| 14|00:41:40|-0.08|0.04|0.8796| +|=| 2| 6| 15| 724.4251656| 15|00:41:39|-0.08|0.03|0.8905| +|=| 1| 6| 15| 685.8473641| 16|00:41:40|-0.05|0.05|0.8764| +|=| 8| 6| 15| 670.3642848| 17|00:41:40|-0.04|0.05|0.8805| +|=| 3| 6| 15| 657.2603938| 18|00:41:39|-0.03|0.05|0.8892| +|=| 14| 6| 15| 631.7479660| 24|00:41:40|-0.05|0.03|0.8823| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 631.7479660 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 10 26 0.43544 38 40 62 47 92 NA + +# 2023-09-10 03:35:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +51 10 24 0.47974 97 17 60 14 42 +69 10 22 0.53576 75 13 52 9 53 +58 10 22 0.48001 92 12 63 4 47 +55 8 13 0.29761 65 13 18 60 45 +# 2023-09-10 03:35:00 -03: Stopped because budget is exhausted +# Iteration: 7 +# nbIterations: 6 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 24 +# number of elites: 5 +# nbConfigurations: 6 +# Total CPU user time: 980777.7, CPU sys time: 84.356, Wall-clock time: 154176.1 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 10 26 0.43544 38 40 62 47 92 +51 10 24 0.47974 97 17 60 14 42 +69 10 22 0.53576 75 13 52 9 53 +58 10 22 0.48001 92 12 63 4 47 +55 8 13 0.29761 65 13 18 60 45 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +15 -K10 -k26 -M0.43544 -Q38 -G40 -D62 -O47 -L92 +51 -K10 -k24 -M0.47974 -Q97 -G17 -D60 -O14 -L42 +69 -K10 -k22 -M0.53576 -Q75 -G13 -D52 -O9 -L53 +58 -K10 -k22 -M0.48001 -Q92 -G12 -D63 -O4 -L47 +55 -K8 -k13 -M0.29761 -Q65 -G13 -D18 -O60 -L45 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-10 03:35:00 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-6.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-6.txt new file mode 100644 index 000000000..283b9c9d3 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-6.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 03:15:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1919745279 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 03:15:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 9| 500.0155870| 16|00:04:59| NA| NA| NA| +|x| 2| 16| 9| 400.1003760| 32|00:05:00|+0.56|0.78|0.2271| +|x| 3| 16| 9| 673.6124533| 48|00:04:59|+0.34|0.56|0.4802| +|x| 4| 16| 9| 580.2411642| 64|00:05:00|+0.49|0.62|0.3824| +|-| 5| 5| 9| 704.4921160| 80|00:04:59|+0.18|0.34|0.6488| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 704.4921160 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 27 0.73783 55 30 14 34 46 NA + +# 2023-09-07 03:40:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +15 8 14 0.35855 96 10 41 71 99 +7 6 44 0.93742 97 24 85 5 14 +4 4 30 0.39690 90 32 19 51 77 +14 6 38 0.82997 69 25 90 11 50 +# 2023-09-07 03:40:34 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 4| 500.0209540| 18|00:05:29| NA| NA| NA| +|x| 1| 18| 9| 500.0425945| 31|00:04:00|+0.76|0.88|0.2570| +|x| 4| 18| 9| 433.4041620| 44|00:04:00|+0.69|0.79|0.2205| +|x| 3| 18| 9| 630.2122735| 57|00:03:59|+0.68|0.76|0.3783| +|-| 2| 10| 9| 564.2068518| 70|00:04:00|-0.04|0.16|0.8928| +|=| 5| 10| 9| 670.4216970| 75|00:03:59|-0.01|0.16|0.8202| +|=| 7| 10| 9| 646.0866336| 85|00:04:30|+0.04|0.18|0.8008| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 646.0866336 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 27 0.73783 55 30 14 34 46 NA + +# 2023-09-07 04:10:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +25 7 14 0.93606 65 51 29 33 61 +15 8 14 0.35855 96 10 41 71 99 +18 6 22 0.82332 32 63 37 4 29 +4 4 30 0.39690 90 32 19 51 77 +# 2023-09-07 04:10:34 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 165 +# remainingBudget: 335 +# currentBudget: 111 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 39| 1211.870421| 18|00:07:29| NA| NA| NA| +|x| 4| 18| 42| 758.8672845| 31|00:06:30|+0.24|0.62|0.7212| +|x| 5| 18| 9| 907.5757933| 44|00:06:29|+0.24|0.49|0.7614| +|x| 2| 18| 9| 755.7281363| 57|00:06:30|+0.32|0.49|0.7332| +|-| 1| 8| 9| 704.5856264| 70|00:06:29|+0.05|0.24|0.8005| +|=| 3| 8| 9| 790.5941233| 73|00:03:59|-0.00|0.16|0.8543| +|=| 7| 8| 9| 749.0915704| 76|00:04:00|+0.05|0.18|0.8659| +|=| 6| 8| 9| 717.9638244| 79|00:04:00|+0.02|0.14|0.8580| +|=| 9| 8| 9| 671.6002871| 87|00:04:30|+0.02|0.13|0.8461| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 671.6002871 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 27 0.73783 55 30 14 34 46 NA + +# 2023-09-07 05:00:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +42 8 5 0.79680 45 85 8 13 57 +25 7 14 0.93606 65 51 29 33 61 +34 7 43 0.94993 89 61 40 15 24 +15 8 14 0.35855 96 10 41 71 99 +# 2023-09-07 05:00:34 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 252 +# remainingBudget: 248 +# currentBudget: 124 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 46| 300.1476180| 16|00:08:30| NA| NA| NA| +|x| 5| 16| 46| 760.4900735| 27|00:04:59|+0.15|0.57|1.0390| +|x| 6| 16| 46| 673.7096673| 38|00:05:00|+0.12|0.41|0.8554| +|x| 1| 16| 46| 630.2923495| 49|00:04:59|+0.12|0.34|0.7532| +|=| 3| 16| 9| 744.6074174| 60|00:05:00|+0.09|0.27|0.8186| +|=| 4| 16| 9| 670.5273973| 71|00:05:00|+0.13|0.28|0.8100| +|-| 9| 10| 15| 620.2993620| 82|00:04:59|-0.02|0.12|0.9371| +|=| 7| 10| 9| 602.9915782| 87|00:04:59|+0.02|0.14|0.8996| +|=| 2| 10| 9| 569.3464212| 92|00:05:00|+0.01|0.12|0.9145| +|=| 8| 10| 9| 634.5221951| 97|00:04:59|-0.00|0.10|0.9231| +|=| 11| 10| 9| 622.2944093| 107|00:04:59|+0.04|0.12|0.8972| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 622.2944093 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 27 0.73783 55 30 14 34 46 NA + +# 2023-09-07 05:59:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +46 10 14 0.79555 48 60 1 8 52 +42 8 5 0.79680 45 85 8 13 57 +15 8 14 0.35855 96 10 41 71 99 +25 7 14 0.93606 65 51 29 33 61 +# 2023-09-07 05:59:04 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 359 +# remainingBudget: 141 +# currentBudget: 141 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 16| 46| 1201.379015| 16|00:08:00| NA| NA| NA| +|x| 3| 16| 15| 1220.489806| 27|00:05:00|-0.18|0.41|1.4587| +|x| 10| 16| 15| 913.7799030| 38|00:05:00|+0.15|0.43|1.0041| +|x| 6| 16| 15| 810.3523482| 49|00:04:59|+0.10|0.33|0.9497| +|=| 2| 16| 56| 708.7915654| 60|00:05:00|+0.15|0.32|0.8756| +|=| 7| 16| 56| 674.0137567| 71|00:05:00|+0.06|0.21|0.9359| +|=| 1| 16| 9| 649.1446007| 82|00:04:59|+0.09|0.22|0.8966| +|=| 5| 16| 9| 718.1885160| 93|00:04:59|+0.08|0.20|0.8720| +|-| 8| 10| 9| 774.0680320| 104|00:05:00|-0.02|0.10|0.9181| +|=| 4| 10| 9| 726.6739585| 109|00:05:00|+0.03|0.12|0.8793| +|=| 11| 10| 9| 706.0687396| 114|00:04:59|+0.05|0.14|0.8643| +|=| 9| 10| 9| 672.2873437| 119|00:05:00|+0.04|0.12|0.8735| +|=| 13| 10| 9| 659.0465509| 129|00:04:59|+0.03|0.10|0.8713| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 659.0465509 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 9 27 0.73783 55 30 14 34 46 NA + +# 2023-09-07 07:07:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +46 10 14 0.79555 48 60 1 8 52 +56 10 11 0.71157 60 7 29 29 36 +42 8 5 0.79680 45 85 8 13 57 +54 10 5 0.74746 70 91 10 21 61 +# 2023-09-07 07:07:05 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 488 +# timeUsed: 0 +# remainingBudget: 12 +# currentBudget: 12 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 100754, CPU sys time: 8.907, Wall-clock time: 13890.67 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 9 27 0.73783 55 30 14 34 46 +46 10 14 0.79555 48 60 1 8 52 +56 10 11 0.71157 60 7 29 29 36 +42 8 5 0.79680 45 85 8 13 57 +54 10 5 0.74746 70 91 10 21 61 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +9 -K9 -k27 -M0.73783 -Q55 -G30 -D14 -O34 -L46 +46 -K10 -k14 -M0.79555 -Q48 -G60 -D1 -O8 -L52 +56 -K10 -k11 -M0.71157 -Q60 -G7 -D29 -O29 -L36 +42 -K8 -k5 -M0.7968 -Q45 -G85 -D8 -O13 -L57 +54 -K10 -k5 -M0.74746 -Q70 -G91 -D10 -O21 -L61 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 07:07:05 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-7.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-7.txt new file mode 100644 index 000000000..274a42822 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-7.txt @@ -0,0 +1,298 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 07:07:05 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1453964305 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 07:07:05 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 1216.975500| 16|00:08:09| NA| NA| NA| +|x| 2| 16| 10| 760.7445945| 32|00:08:10|+0.28|0.64|0.6776| +|x| 3| 16| 9| 674.3981040| 48|00:08:09|+0.09|0.39|0.8431| +|x| 4| 16| 9| 580.8825877| 64|00:08:10|+0.24|0.43|0.7258| +|-| 5| 8| 9| 709.1862142| 80|00:08:09|+0.08|0.26|0.8195| +|=| 6| 8| 10| 673.9607160| 88|00:05:15|+0.02|0.18|0.8352| +|=| 7| 8| 10| 752.1451020| 96|00:05:14|+0.00|0.14|0.8643| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 752.1451020 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 9 13 0.68897 44 88 36 84 74 NA + +# 2023-09-07 07:58:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 9 13 0.68897 44 88 36 84 74 +9 6 24 0.37548 44 20 97 43 78 +2 5 26 0.38016 46 8 16 64 70 +12 4 45 0.30738 54 95 32 7 68 +5 7 1 0.22845 77 43 87 32 61 +# 2023-09-07 07:58:25 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 500.0328830| 17|00:08:10| NA| NA| NA| +|x| 4| 17| 2| 400.2917370| 29|00:05:50|-0.22|0.39|1.1691| +|x| 2| 17| 2| 366.9862637| 41|00:05:50|-0.04|0.31|1.0317| +|x| 5| 17| 2| 580.8398778| 53|00:05:49|+0.06|0.30|0.8951| +|=| 6| 17| 2| 564.6864378| 65|00:05:49|+0.05|0.24|0.9021| +|=| 3| 17| 2| 553.9570682| 77|00:05:50|-0.01|0.16|0.9368| +|=| 1| 17| 2| 649.3080697| 89|00:05:49|+0.05|0.18|0.9086| +|=| 7| 17| 10| 720.6609146| 101|00:05:50|+0.06|0.18|0.9049| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 720.6609146 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 9 13 0.68897 44 88 36 84 74 NA + +# 2023-09-07 08:47:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 5 26 0.38016 46 8 16 64 70 +10 9 13 0.68897 44 88 36 84 74 +25 4 12 0.12444 82 90 39 8 74 +27 9 12 0.92303 33 99 26 77 68 +19 9 41 0.16738 95 3 60 31 58 +# 2023-09-07 08:47:25 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 19| 300.0550830| 15|00:08:11| NA| NA| NA| +|x| 5| 15| 10| 760.6487155| 25|00:05:49|+0.24|0.62|0.6914| +|x| 8| 15| 33| 673.9983120| 35|00:05:50|+0.13|0.42|0.6371| +|x| 4| 15| 33| 580.7231443| 45|00:05:50|+0.18|0.38|0.6709| +|=| 7| 15| 10| 708.6851208| 55|00:05:49|+0.10|0.28|0.7950| +|-| 2| 11| 10| 640.6272620| 65|00:05:50|+0.02|0.19|0.9055| +|=| 3| 11| 10| 620.5749686| 71|00:05:49|-0.07|0.08|0.9807| +|=| 1| 11| 10| 695.6470001| 77|00:05:50|-0.05|0.08|0.9923| +|=| 6| 11| 10| 673.9326420| 83|00:05:49|-0.06|0.06|0.9770| +|=| 10| 11| 10| 728.6629667| 94|00:05:50|-0.03|0.08|0.9603| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 728.6629667 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 9 13 0.68897 44 88 36 84 74 NA + +# 2023-09-07 09:48:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 9 13 0.68897 44 88 36 84 74 +2 5 26 0.38016 46 8 16 64 70 +34 6 27 0.74351 28 37 15 70 46 +33 8 13 0.91418 49 58 69 65 72 +29 10 22 0.80088 34 32 57 100 93 +# 2023-09-07 09:48:06 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 291 +# remainingBudget: 209 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 10| 300.4360040| 14|00:06:59| NA| NA| NA| +|x| 9| 14| 10| 300.2712325| 23|00:05:14|+0.40|0.70|0.6164| +|x| 4| 14| 10| 300.3825390| 32|00:05:15|+0.27|0.51|0.8673| +|x| 6| 14| 2| 350.3674312| 41|00:05:14|+0.04|0.28|1.0068| +|=| 10| 14| 2| 524.5060332| 50|00:05:15|-0.04|0.17|1.0316| +|=| 5| 14| 2| 640.8218143| 59|00:05:15|+0.02|0.18|0.9623| +|=| 3| 14| 40| 619.0363021| 68|00:05:15|+0.00|0.15|0.9399| +|=| 8| 14| 2| 605.6604314| 77|00:05:15|+0.01|0.13|0.9275| +|=| 2| 14| 2| 571.7398631| 86|00:05:14|+0.04|0.15|0.8990| +|=| 7| 14| 44| 633.6058389| 95|00:05:14|+0.07|0.17|0.8728| +|-| 1| 11| 44| 687.0546231| 104|00:05:14|-0.05|0.04|0.9671| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 687.0546231 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 8 27 0.82424 24 41 33 40 37 34 + +# 2023-09-07 10:47:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 8 27 0.82424 24 41 33 40 37 +2 5 26 0.38016 46 8 16 64 70 +10 9 13 0.68897 44 88 36 84 74 +34 6 27 0.74351 28 37 15 70 46 +40 3 20 0.28973 46 28 41 75 59 +# 2023-09-07 10:47:36 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 395 +# remainingBudget: 105 +# currentBudget: 105 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 2| 500.1496080| 13|00:05:49| NA| NA| NA| +|x| 2| 13| 2| 400.2624625| 21|00:05:50|+0.19|0.59|0.6278| +|x| 5| 13| 44| 668.4012667| 29|00:05:49|+0.24|0.49|0.6745| +|x| 3| 13| 44| 626.3643037| 37|00:05:50|+0.18|0.39|0.8008| +|-| 4| 9| 51| 564.3236696| 45|00:05:50|+0.08|0.27|0.7837| +|=| 1| 9| 55| 674.0205147| 49|00:05:49|-0.04|0.13|0.8703| +|=| 8| 9| 55| 649.1749174| 53|00:05:50|-0.04|0.10|0.9003| +|=| 6| 9| 55| 630.5365444| 57|00:05:49|+0.03|0.15|0.8480| +|=| 10| 9| 51| 696.2060391| 61|00:05:49|-0.00|0.11|0.9060| +|=| 7| 9| 51| 748.6381384| 65|00:05:49|+0.01|0.11|0.8927| +|=| 9| 9| 53| 707.8995603| 69|00:05:50|-0.00|0.09|0.9018| +|=| 11| 9| 53| 673.9279147| 73|00:05:49|-0.00|0.08|0.8968| +|=| 13| 9| 53| 645.1978993| 82|00:05:49|+0.01|0.08|0.8813| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 645.1978993 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 10 32 0.96086 15 43 13 44 47 44 + +# 2023-09-07 12:03:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 10 32 0.96086 15 43 13 44 47 +44 8 27 0.82424 24 41 33 40 37 +51 9 42 0.61666 47 25 14 63 15 +2 5 26 0.38016 46 8 16 64 70 +55 7 7 0.44224 33 48 21 61 89 +# 2023-09-07 12:03:26 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 477 +# remainingBudget: 23 +# currentBudget: 23 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 55| 1220.678600| 6|00:05:49| NA| NA| NA| +|x| 5| 6| 56| 1214.082792| 7|00:05:14|+0.06|0.53|0.8305| +|x| 8| 6| 56| 976.0802477| 8|00:05:15|-0.16|0.22|0.9148| +|x| 1| 6| 56| 1037.519638| 9|00:05:14|-0.14|0.14|0.7912| +|=| 7| 6| 55| 1077.032834| 10|00:05:15|-0.17|0.07|0.8333| +|=| 11| 6| 56| 945.7312677| 11|00:05:15|-0.15|0.04|0.8496| +|=| 4| 6| 56| 853.5062609| 12|00:05:15|-0.12|0.04|0.8846| +|=| 2| 6| 56| 784.3598808| 13|00:05:15|-0.07|0.06|0.8690| +|=| 6| 6| 53| 754.3463609| 14|00:05:14|-0.08|0.04|0.8971| +|=| 13| 6| 53| 708.9554963| 15|00:05:15|-0.04|0.06|0.8760| +|=| 10| 6| 53| 755.5127612| 16|00:05:14|-0.05|0.05|0.8870| +|=| 3| 6| 53| 734.2349660| 17|00:05:15|-0.05|0.04|0.8808| +|=| 9| 6| 53| 700.8403674| 18|00:05:14|-0.03|0.05|0.8610| +|=| 12| 6| 53| 686.5100598| 19|00:05:15|-0.04|0.03|0.8525| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 686.5100598 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 10 32 0.96086 15 43 13 44 47 44 + +# 2023-09-07 13:17:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 10 32 0.96086 15 43 13 44 47 +56 9 31 0.86632 49 28 14 80 1 +44 8 27 0.82424 24 41 33 40 37 +2 5 26 0.38016 46 8 16 64 70 +55 7 7 0.44224 33 48 21 61 89 +# 2023-09-07 13:17:31 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 117548.5, CPU sys time: 9.134, Wall-clock time: 22225.83 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 10 32 0.96086 15 43 13 44 47 +56 9 31 0.86632 49 28 14 80 1 +44 8 27 0.82424 24 41 33 40 37 +2 5 26 0.38016 46 8 16 64 70 +55 7 7 0.44224 33 48 21 61 89 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +53 -K10 -k32 -M0.96086 -Q15 -G43 -D13 -O44 -L47 +56 -K9 -k31 -M0.86632 -Q49 -G28 -D14 -O80 -L1 +44 -K8 -k27 -M0.82424 -Q24 -G41 -D33 -O40 -L37 +2 -K5 -k26 -M0.38016 -Q46 -G8 -D16 -O64 -L70 +55 -K7 -k7 -M0.44224 -Q33 -G48 -D21 -O61 -L89 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 13:17:31 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-8.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-8.txt new file mode 100644 index 000000000..e28e1afe0 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-8.txt @@ -0,0 +1,293 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 13:17:31 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1283575230 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 13:17:31 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 300.3737040| 16|00:08:39| NA| NA| NA| +|x| 2| 16| 4| 760.6901845| 32|00:08:39|+0.10|0.55|0.5596| +|x| 3| 16| 11| 672.7183850| 48|00:08:39|+0.29|0.53|0.5219| +|x| 4| 16| 11| 808.4788513| 64|00:08:39|+0.45|0.59|0.4971| +|-| 5| 11| 14| 747.5101130| 80|00:08:40|-0.07|0.14|0.9069| +|=| 6| 11| 14| 673.0213987| 91|00:06:40|-0.03|0.14|0.8543| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 673.0213987 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 6 21 0.23002 77 88 12 59 26 NA + +# 2023-09-07 14:07:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 6 21 0.23002 77 88 12 59 26 +16 8 26 0.74005 58 29 17 40 18 +1 10 2 0.34809 77 66 79 28 9 +11 6 19 0.61714 78 39 43 76 69 +4 5 12 0.77733 43 55 34 49 80 +# 2023-09-07 14:07:31 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 1| 500.0524810| 18|00:09:19| NA| NA| NA| +|x| 4| 18| 14| 856.7652810| 31|00:06:39|-0.02|0.49|1.0283| +|x| 6| 18| 14| 671.3694630| 44|00:06:40|-0.06|0.29|0.9940| +|x| 1| 18| 14| 578.6205233| 57|00:06:39|-0.01|0.24|0.9628| +|=| 3| 18| 14| 562.9220986| 70|00:06:39|+0.03|0.23|0.8966| +|=| 2| 18| 14| 673.0179675| 83|00:06:39|+0.02|0.18|0.9176| +|=| 5| 18| 17| 649.2289359| 96|00:06:40|+0.07|0.20|0.8620| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 17 mean value: 649.2289359 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +17 17 10 3 0.73523 40 81 40 68 29 1 + +# 2023-09-07 14:56:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +17 10 3 0.73523 40 81 40 68 29 +14 6 21 0.23002 77 88 12 59 26 +11 6 19 0.61714 78 39 43 76 69 +1 10 2 0.34809 77 66 79 28 9 +26 8 46 0.25719 92 41 51 100 26 +# 2023-09-07 14:56:51 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 32| 1201.377880| 17|00:09:59| NA| NA| NA| +|x| 3| 17| 32| 850.7077845| 29|00:06:40|+0.36|0.68|0.5825| +|x| 7| 17| 32| 733.8076140| 41|00:06:39|+0.32|0.55|0.5971| +|x| 5| 17| 32| 675.3923360| 53|00:06:39|+0.30|0.47|0.5727| +|-| 4| 9| 32| 783.4882886| 65|00:06:40|+0.01|0.21|0.8289| +|=| 1| 9| 32| 702.9338912| 69|00:06:39|+0.06|0.22|0.8198| +|=| 2| 9| 32| 774.5618119| 73|00:06:40|+0.12|0.24|0.7538| +|=| 6| 9| 32| 715.3170906| 77|00:06:40|+0.07|0.19|0.8086| +|=| 9| 9| 32| 669.1902270| 86|00:06:40|+0.09|0.20|0.7964| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 669.1902270 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 23 0.60785 82 80 62 45 9 14 + +# 2023-09-07 16:00:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 23 0.60785 82 80 62 45 9 +34 7 12 0.41786 83 77 26 78 26 +1 10 2 0.34809 77 66 79 28 9 +14 6 21 0.23002 77 88 12 59 26 +37 10 14 0.32694 87 78 40 42 71 +# 2023-09-07 16:00:11 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 273 +# remainingBudget: 227 +# currentBudget: 113 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 43| 1203.790597| 15|00:09:59| NA| NA| NA| +|x| 3| 15| 43| 851.9059895| 25|00:06:00|+0.37|0.69|0.6485| +|x| 6| 15| 42| 669.9083527| 35|00:06:00|+0.08|0.39|0.7286| +|x| 7| 15| 42| 627.4442990| 45|00:05:59|+0.14|0.36|0.7014| +|=| 2| 15| 42| 742.8577314| 55|00:05:59|+0.11|0.29|0.8134| +|=| 8| 15| 42| 820.3344698| 65|00:05:59|+0.14|0.28|0.7983| +|=| 4| 15| 32| 877.5115194| 75|00:05:59|+0.05|0.18|0.8992| +|=| 5| 15| 42| 830.3210181| 85|00:06:00|+0.03|0.16|0.9067| +|=| 9| 15| 32| 771.4336062| 95|00:06:00|+0.06|0.16|0.8880| +|=| 1| 15| 32| 724.3064360| 105|00:06:00|+0.07|0.16|0.8791| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 724.3064360 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 23 0.60785 82 80 62 45 9 14 + +# 2023-09-07 17:04:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 23 0.60785 82 80 62 45 9 +48 8 34 0.79381 89 75 44 53 26 +42 9 4 0.23681 53 79 33 29 9 +34 7 12 0.41786 83 77 26 78 26 +50 9 25 0.65059 94 92 58 10 8 +# 2023-09-07 17:04:11 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 378 +# remainingBudget: 122 +# currentBudget: 122 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 56| 300.1114900| 15|00:11:20| NA| NA| NA| +|x| 6| 15| 57| 300.5681220| 25|00:06:40|-0.54|0.23|1.5232| +|x| 8| 15| 32| 600.8072150| 35|00:06:39|-0.06|0.29|1.0222| +|x| 1| 15| 32| 525.6458872| 45|00:06:40|+0.09|0.32|0.8946| +|=| 9| 15| 32| 480.5517734| 55|00:06:40|+0.16|0.33|0.7678| +|-| 5| 7| 48| 484.2926930| 65|00:06:39|+0.00|0.17|0.8377| +|=| 4| 7| 48| 588.0860884| 67|00:05:59|+0.05|0.18|0.8004| +|=| 7| 7| 48| 577.0892978| 69|00:05:59|+0.07|0.18|0.7673| +|=| 3| 7| 32| 568.7580478| 71|00:05:59|+0.03|0.14|0.7990| +|=| 2| 7| 32| 632.3151766| 73|00:06:00|+0.06|0.15|0.7678| +|=| 10| 7| 32| 685.7730985| 75|00:06:00|+0.08|0.17|0.7746| +|=| 12| 7| 32| 670.3017486| 82|00:06:00|+0.07|0.14|0.8016| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 670.3017486 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 23 0.60785 82 80 62 45 9 14 + +# 2023-09-07 18:24:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 23 0.60785 82 80 62 45 9 +48 8 34 0.79381 89 75 44 53 26 +50 9 25 0.65059 94 92 58 10 8 +34 7 12 0.41786 83 77 26 78 26 +42 9 4 0.23681 53 79 33 29 9 +# 2023-09-07 18:24:53 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 460 +# remainingBudget: 40 +# currentBudget: 40 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 7| 50| 300.0620710| 7|00:06:39| NA| NA| NA| +|x| 5| 7| 50| 400.0476805| 9|00:06:39|+0.57|0.79|0.5577| +|x| 6| 7| 50| 367.0688367| 11|00:06:40|-0.13|0.25|0.9595| +|x| 3| 7| 62| 400.3422823| 13|00:06:39|-0.05|0.21|0.8763| +|=| 9| 7| 62| 380.3050678| 15|00:06:39|+0.05|0.24|0.8003| +|=| 8| 7| 32| 517.1162632| 17|00:06:40|+0.10|0.25|0.7655| +|=| 11| 7| 32| 486.1624717| 19|00:06:40|+0.00|0.14|0.8394| +|=| 7| 7| 32| 487.8930719| 21|00:06:39|+0.05|0.17|0.8065| +|=| 4| 7| 32| 568.7796304| 23|00:06:40|+0.06|0.17|0.7979| +|=| 10| 7| 32| 633.9368991| 25|00:06:39|+0.01|0.11|0.8461| +|=| 12| 7| 32| 621.7714446| 27|00:06:39|-0.02|0.07|0.8774| +|=| 1| 7| 32| 594.9706496| 29|00:06:40|+0.01|0.09|0.8618| +|=| 2| 7| 32| 641.8443947| 31|00:06:39|+0.02|0.09|0.8536| +|=| 14| 7| 32| 683.2577687| 38|00:06:40|+0.01|0.08|0.8536| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 32 mean value: 683.2577687 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +32 32 9 23 0.60785 82 80 62 45 9 14 + +# 2023-09-07 19:58:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 23 0.60785 82 80 62 45 9 +48 8 34 0.79381 89 75 44 53 26 +50 9 25 0.65059 94 92 58 10 8 +34 7 12 0.41786 83 77 26 78 26 +42 9 4 0.23681 53 79 33 29 9 +# 2023-09-07 19:58:13 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 142077.1, CPU sys time: 9.668, Wall-clock time: 24041.8 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +32 9 23 0.60785 82 80 62 45 9 +48 8 34 0.79381 89 75 44 53 26 +50 9 25 0.65059 94 92 58 10 8 +34 7 12 0.41786 83 77 26 78 26 +42 9 4 0.23681 53 79 33 29 9 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +32 -K9 -k23 -M0.60785 -Q82 -G80 -D62 -O45 -L9 +48 -K8 -k34 -M0.79381 -Q89 -G75 -D44 -O53 -L26 +50 -K9 -k25 -M0.65059 -Q94 -G92 -D58 -O10 -L8 +34 -K7 -k12 -M0.41786 -Q83 -G77 -D26 -O78 -L26 +42 -K9 -k4 -M0.23681 -Q53 -G79 -D33 -O29 -L9 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-07 19:58:13 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-9.txt b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-9.txt new file mode 100644 index 000000000..fdddf9525 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/resultados-completos/result-irace-9.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-07 19:58:13 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1470647530 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-07 19:58:13 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 14| 300.0874200| 16|00:09:44| NA| NA| NA| +|x| 2| 16| 14| 760.7753790| 32|00:09:44|+0.01|0.51|0.9874| +|x| 3| 16| 5| 674.5012707| 48|00:09:45|+0.09|0.39|0.8437| +|x| 4| 16| 14| 630.4640985| 64|00:09:44|+0.21|0.41|0.7763| +|-| 5| 8| 8| 745.0869322| 80|00:09:44|-0.12|0.11|0.9532| +|=| 6| 8| 14| 673.8843843| 88|00:07:30|-0.05|0.12|0.9525| +|=| 7| 8| 14| 620.5238676| 96|00:07:30|-0.04|0.11|0.8958| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 620.5238676 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 8 11 0.13717 75 39 11 15 44 NA + +# 2023-09-07 21:01:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 8 11 0.13717 75 39 11 15 44 +8 9 3 0.66932 93 66 16 33 66 +16 8 39 0.38982 41 87 50 42 56 +1 5 36 0.55761 16 68 74 37 13 +7 8 6 0.12934 34 52 98 40 3 +# 2023-09-07 21:01:58 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 23| 1204.373765| 17|00:11:14| NA| NA| NA| +|x| 3| 17| 26| 855.8821240| 29|00:07:29|+0.13|0.56|1.0372| +|x| 1| 17| 26| 670.8676777| 41|00:07:30|-0.19|0.21|1.1138| +|x| 6| 17| 26| 578.2880180| 53|00:07:30|-0.11|0.17|1.0612| +|=| 5| 17| 26| 706.7344110| 65|00:07:29|-0.05|0.16|1.0017| +|=| 4| 17| 24| 673.8847803| 77|00:07:29|-0.05|0.12|0.9916| +|=| 2| 17| 24| 752.0176496| 89|00:07:29|+0.00|0.15|0.9710| +|=| 7| 17| 24| 695.5875714| 101|00:07:30|+0.04|0.16|0.9174| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 695.5875714 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 7 7 0.18088 31 49 64 3 37 14 + +# 2023-09-07 22:05:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 7 7 0.18088 31 49 64 3 37 +26 10 6 0.22895 98 92 59 28 55 +19 5 3 0.16144 74 14 23 3 51 +18 9 23 0.13326 44 73 29 80 62 +8 9 3 0.66932 93 66 16 33 66 +# 2023-09-07 22:05:43 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 197 +# remainingBudget: 303 +# currentBudget: 101 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 33| 500.0602260| 15|00:11:59| NA| NA| NA| +|x| 4| 15| 30| 500.1025130| 25|00:07:29|+0.35|0.68|0.6196| +|x| 1| 15| 29| 433.4743643| 35|00:07:30|+0.32|0.55|0.6437| +|x| 8| 15| 29| 626.5028740| 45|00:07:29|+0.30|0.47|0.6904| +|-| 7| 12| 29| 561.5918394| 55|00:07:31|-0.09|0.13|1.0245| +|=| 6| 12| 29| 518.0349960| 62|00:07:29|-0.08|0.10|0.9675| +|=| 3| 12| 29| 515.4727546| 69|00:07:29|-0.07|0.08|0.9451| +|=| 5| 12| 29| 603.5843050| 76|00:07:29|-0.06|0.07|0.9366| +|=| 2| 12| 29| 672.3705226| 83|00:07:30|-0.06|0.06|0.9216| +|=| 10| 12| 29| 635.1828909| 95|00:07:31|-0.04|0.06|0.9097| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 635.1828909 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 10 5 0.64755 79 86 23 62 23 26 + +# 2023-09-07 23:25:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 10 5 0.64755 79 86 23 62 23 +8 9 3 0.66932 93 66 16 33 66 +36 9 13 0.49879 67 17 72 11 62 +19 5 3 0.16144 74 14 23 3 51 +24 7 7 0.18088 31 49 64 3 37 +# 2023-09-07 23:25:15 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 292 +# remainingBudget: 208 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 24| 1205.211181| 14|00:08:59| NA| NA| NA| +|x| 1| 14| 44| 753.4997400| 23|00:06:00|-0.04|0.48|1.1402| +|x| 7| 14| 8| 602.2710407| 32|00:06:00|-0.06|0.29|0.9484| +|x| 3| 14| 41| 580.3672585| 41|00:05:59|-0.04|0.22|0.8487| +|=| 2| 14| 41| 708.3935754| 50|00:06:00|+0.07|0.26|0.7523| +|=| 9| 14| 41| 673.6763363| 59|00:06:00|+0.06|0.22|0.8102| +|=| 4| 14| 41| 648.8910724| 68|00:05:59|+0.09|0.22|0.7990| +|-| 6| 10| 41| 605.2909376| 77|00:06:00|-0.05|0.09|0.9451| +|=| 5| 10| 41| 673.8187543| 82|00:05:59|-0.06|0.06|0.9609| +|=| 10| 10| 41| 636.5106951| 87|00:06:00|-0.06|0.04|0.9464| +|=| 8| 10| 44| 688.3781962| 92|00:05:59|-0.08|0.02|0.9687| +|=| 12| 10| 44| 672.6837855| 102|00:07:29|-0.06|0.03|0.9538| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 44 mean value: 672.6837855 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +44 44 8 19 0.70643 98 45 32 58 17 29 + +# 2023-09-08 00:41:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +44 8 19 0.70643 98 45 32 58 17 +41 6 1 0.10813 64 37 28 19 61 +24 7 7 0.18088 31 49 64 3 37 +36 9 13 0.49879 67 17 72 11 62 +45 7 9 0.43196 84 41 38 48 19 +# 2023-09-08 00:41:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 394 +# remainingBudget: 106 +# currentBudget: 106 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 12| 44| 500.0255230| 12|00:07:30| NA| NA| NA| +|x| 3| 12| 53| 500.0571355| 19|00:07:30|-0.40|0.30|1.1688| +|x| 1| 12| 41| 433.4159720| 26|00:07:30|-0.26|0.16|1.0854| +|x| 8| 12| 41| 630.6725353| 33|00:07:29|-0.21|0.09|1.1128| +|=| 6| 12| 41| 564.5560270| 40|00:07:30|-0.09|0.13|1.0273| +|=| 7| 12| 41| 520.5860965| 47|00:07:29|-0.11|0.08|1.0258| +|=| 2| 12| 53| 618.6092887| 54|00:07:30|-0.05|0.10|1.0073| +|=| 9| 12| 53| 603.7881904| 61|00:07:30|+0.01|0.13|0.9487| +|=| 4| 12| 53| 592.2647200| 68|00:07:29|-0.00|0.11|0.9596| +|=| 12| 12| 53| 583.0419239| 75|00:07:30|+0.03|0.13|0.9335| +|=| 5| 12| 53| 641.1567053| 82|00:07:30|+0.02|0.11|0.9410| +|=| 10| 12| 53| 612.7419387| 89|00:07:29|+0.04|0.12|0.9195| +|=| 11| 12| 53| 658.3304738| 96|00:07:30|+0.05|0.13|0.9019| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 658.3304738 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 8 15 0.26441 93 81 37 37 13 45 + +# 2023-09-08 02:19:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 8 15 0.26441 93 81 37 37 13 +44 8 19 0.70643 98 45 32 58 17 +24 7 7 0.18088 31 49 64 3 37 +36 9 13 0.49879 67 17 72 11 62 +45 7 9 0.43196 84 41 38 48 19 +# 2023-09-08 02:19:15 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 154034.2, CPU sys time: 10.708, Wall-clock time: 22861.85 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 8 15 0.26441 93 81 37 37 13 +44 8 19 0.70643 98 45 32 58 17 +24 7 7 0.18088 31 49 64 3 37 +36 9 13 0.49879 67 17 72 11 62 +45 7 9 0.43196 84 41 38 48 19 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +53 -K8 -k15 -M0.26441 -Q93 -G81 -D37 -O37 -L13 +44 -K8 -k19 -M0.70643 -Q98 -G45 -D32 -O58 -L17 +24 -K7 -k7 -M0.18088 -Q31 -G49 -D64 -O3 -L37 +36 -K9 -k13 -M0.49879 -Q67 -G17 -D72 -O11 -L62 +45 -K7 -k9 -M0.43196 -Q84 -G41 -D38 -O48 -L19 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-08 02:19:15 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaDireta.txt b/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaDireta.txt new file mode 100644 index 000000000..abb34ce65 --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaDireta.txt @@ -0,0 +1,50 @@ +# PSO, DE, ACO, CLONALG, GA +./evol -K 9 -k 42 -M 0.477730 -A 1,0,0,0,1 +./evol -K 7 -k 38 -M 0.411160 -A 2,0,0,0,1 +./evol -K 8 -k 37 -M 0.863060 -A 2,0,0,1,1 +./evol -K 10 -k 16 -M 0.408380 -A 2,0,0,2,1 +./evol -K 9 -k 27 -M 0.737830 -A 2,0,1,2,1 +./evol -K 10 -k 32 -M 0.960860 -A 1,0,2,2,2 +./evol -K 9 -k 23 -M 0.607850 -A 3,2,1,0,2 +./evol -K 8 -k 15 -M 0.264410 -A 4,1,1,0,3 +./evol -K 10 -k 14 -M 0.440050 -A 2,4,0,1,3 +./evol -K 10 -k 43 -M 0.944230 -A 5,0,1,1,4 +./evol -K 10 -k 28 -M 0.697940 -A 4,3,0,3,2 +./evol -K 10 -k 13 -M 0.579980 -A 3,4,0,2,4 +./evol -K 8 -k 36 -M 0.327750 -A 5,2,3,2,2 +./evol -K 9 -k 41 -M 0.919670 -A 4,1,3,0,7 +./evol -K 7 -k 24 -M 0.868650 -A 13,1,0,1,1 +./evol -K 9 -k 21 -M 0.465900 -A 9,3,0,0,5 +./evol -K 8 -k 25 -M 0.289110 -A 8,1,2,2,5 +./evol -K 10 -k 16 -M 0.386040 -A 4,0,5,3,7 +./evol -K 7 -k 22 -M 0.221720 -A 9,0,2,0,9 +./evol -K 9 -k 31 -M 0.170540 -A 11,6,0,2,2 +./evol -K 10 -k 39 -M 0.311340 -A 6,4,4,0,8 +./evol -K 9 -k 20 -M 0.962510 -A 13,1,4,2,3 +./evol -K 9 -k 11 -M 0.157100 -A 9,0,2,6,7 +./evol -K 10 -k 13 -M 0.254980 -A 7,9,1,5,3 +./evol -K 10 -k 31 -M 0.577860 -A 14,0,10,0,2 +./evol -K 9 -k 33 -M 0.382450 -A 15,5,2,2,3 +./evol -K 9 -k 43 -M 0.921570 -A 8,4,4,1,11 +./evol -K 9 -k 40 -M 0.822440 -A 9,3,2,10,5 +./evol -K 10 -k 36 -M 0.659560 -A 10,7,6,1,6 +./evol -K 9 -k 15 -M 0.428550 -A 7,4,2,8,10 +./evol -K 10 -k 20 -M 0.337810 -A 9,9,5,1,8 +./evol -K 9 -k 4 -M 0.157330 -A 9,17,1,3,3 +./evol -K 10 -k 39 -M 0.606240 -A 11,5,3,11,4 +./evol -K 9 -k 36 -M 0.231220 -A 6,12,9,1,7 +./evol -K 10 -k 29 -M 0.781150 -A 10,7,3,8,8 +./evol -K 10 -k 49 -M 0.547520 -A 7,9,9,10,2 +./evol -K 10 -k 21 -M 0.435000 -A 13,1,18,1,5 +./evol -K 10 -k 87 -M 0.717520 -A 15,2,2,10,10 +./evol -K 9 -k 25 -M 0.146140 -A 11,12,8,6,3 +./evol -K 10 -k 41 -M 0.313920 -A 9,8,1,8,15 +./evol -K 9 -k 26 -M 0.207890 -A 18,1,6,8,9 +./evol -K 10 -k 33 -M 0.505710 -A 13,7,11,10,2 +./evol -K 10 -k 24 -M 0.667130 -A 9,5,12,3,15 +./evol -K 10 -k 30 -M 0.357830 -A 14,8,8,1,14 +./evol -K 10 -k 29 -M 0.826610 -A 18,0,2,14,12 +./evol -K 10 -k 37 -M 0.467020 -A 16,4,13,11,3 +./evol -K 10 -k 6 -M 0.654320 -A 10,9,5,13,11 +./evol -K 9 -k 29 -M 0.677860 -A 16,9,0,11,13 +./evol -K 10 -k 26 -M 0.435440 -A 7,11,8,17,7 diff --git a/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaProporcional.txt b/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaProporcional.txt new file mode 100644 index 000000000..518541f4c --- /dev/null +++ b/src/irace/results/results-island-model/results-50-islands/results-evol/results-evol-EscolhaProporcional.txt @@ -0,0 +1,50 @@ + +./evol -K9 -k42 -M0.47773 -Q81 -G88 -D67 -O28 -L57 -N 2 +./evol -K7 -k38 -M0.41116 -Q86 -G45 -D23 -O0 -L15 -N 3 +./evol -K8 -k37 -M0.86306 -Q58 -G31 -D13 -O6 -L45 -N 4 +./evol -K10 -k16 -M0.40838 -Q83 -G45 -D4 -O6 -L86 -N 5 +./evol -K9 -k27 -M0.73783 -Q55 -G30 -D14 -O34 -L46 -N 6 +./evol -K10 -k32 -M0.96086 -Q15 -G43 -D13 -O44 -L47 -N 7 +./evol -K9 -k23 -M0.60785 -Q82 -G80 -D62 -O45 -L9 -N 8 +./evol -K8 -k15 -M0.26441 -Q93 -G81 -D37 -O37 -L13 -N 9 +./evol -K10 -k14 -M0.44005 -Q73 -G84 -D100 -O9 -L31 -N 10 +./evol -K10 -k43 -M0.94423 -Q79 -G73 -D6 -O18 -L19 -N 11 +./evol -K10 -k28 -M0.69794 -Q59 -G28 -D42 -O13 -L58 -N 12 +./evol -K10 -k13 -M0.57998 -Q59 -G92 -D83 -O15 -L53 -N 13 +./evol -K8 -k36 -M0.32775 -Q95 -G37 -D48 -O67 -L38 -N 14 +./evol -K9 -k41 -M0.91967 -Q46 -G87 -D8 -O44 -L7 -N 15 +./evol -K7 -k24 -M0.86865 -Q59 -G3 -D6 -O1 -L7 -N 16 +./evol -K9 -k21 -M0.4659 -Q71 -G42 -D30 -O0 -L3 -N 17 +./evol -K8 -k25 -M0.28911 -Q80 -G60 -D10 -O23 -L26 -N 18 +./evol -K10 -k16 -M0.38604 -Q54 -G91 -D5 -O68 -L35 -N 19 +./evol -K7 -k22 -M0.22172 -Q55 -G52 -D2 -O11 -L1 -N 20 +./evol -K9 -k31 -M0.17054 -Q84 -G20 -D54 -O3 -L18 -N 21 +./evol -K10 -k39 -M0.31134 -Q41 -G49 -D27 -O25 -L2 -N 22 +./evol -K9 -k20 -M0.96251 -Q99 -G27 -D11 -O28 -L18 -N 23 +./evol -K9 -k11 -M0.1571 -Q87 -G68 -D0 -O21 -L53 -N 24 +./evol -K10 -k13 -M0.25498 -Q68 -G30 -D89 -O10 -L48 -N 25 +./evol -K10 -k31 -M0.57786 -Q59 -G7 -D0 -O40 -L2 -N 26 +./evol -K9 -k33 -M0.38245 -Q95 -G23 -D34 -O16 -L11 -N 27 +./evol -K9 -k43 -M0.92157 -Q67 -G88 -D37 -O36 -L8 -N 28 +./evol -K9 -k40 -M0.82244 -Q74 -G39 -D29 -O19 -L81 -N 29 +./evol -K10 -k36 -M0.65956 -Q67 -G41 -D51 -O41 -L9 -N 30 +./evol -K9 -k15 -M0.42855 -Q67 -G98 -D36 -O29 -L80 -N 31 +./evol K10 -k20 -M0.33781 -Q94 -G85 -D100 -O59 -L8 -N 32 +./evol -K9 -k4 -M0.15733 -Q43 -G16 -D79 -O3 -L12 -N 33 +./evol -K10 -k39 -M0.60624 -Q42 -G15 -D21 -O13 -L44 -N 34 +./evol -K9 -k36 -M0.23122 -Q33 -G44 -D70 -O54 -L6 -N 35 +./evol -K10 -k29 -M0.78115 -Q73 -G60 -D57 -O22 -L64 -N 36 +./evol -K10 -k49 -M0.54752 -Q57 -G16 -D72 -O71 -L83 -N 37 +./evol -K10 -k21 -M0.435 -Q68 -G28 -D8 -O96 -L6 -N 38 +./evol -K10 -k87 -M0.71752 -Q88 -G66 -D14 -O15 -L67 -N 39 +./evol -K9 -k25 -M0.14614 -Q83 -G21 -D90 -O65 -L48 -N 40 +./evol -K10 -k41 -M0.31392 -Q56 -G88 -D47 -O6 -L49 -N 41 +./evol -K9 -k26 -M0.20789 -Q88 -G43 -D10 -O28 -L39 -N 42 +./evol -K10 -k33 -M0.50571 -Q89 -G13 -D53 -O77 -L72 -N 43 +./evol -K10 -k24 -M0.66713 -Q44 -G75 -D26 -O61 -L13 -N 44 +./evol -K10 -k30 -M0.35783 -Q85 -G84 -D45 -O47 -L7 -N 45 +./evol -K10 -k29 -M0.82661 -Q99 -G66 -D0 -O9 -L77 -N 46 +./evol -K10 -k37 -M0.46702 -Q92 -G18 -D24 -O77 -L65 -N 47 +./evol -K10 -k6 -M0.65432 -Q56 -G62 -D52 -O34 -L78 -N 48 +./evol -K9 -k29 -M0.67786 -Q99 -G85 -D55 -O3 -L73 -N 49 +./evol -K10 -k26 -M0.43544 -Q38 -G40 -D62 -O47 -L92 -N 50 diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-10.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-10.txt new file mode 100644 index 000000000..cc27ed395 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-10.txt @@ -0,0 +1,290 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 06:59:04 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1257717995 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 06:59:04 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 11| 1221.273121| 16|00:04:13| NA| NA| NA| +|x| 2| 16| 5| 760.6423280| 32|00:05:00|-0.25|0.37|1.2767| +|x| 3| 16| 9| 674.6305553| 48|00:04:54|+0.11|0.41|0.9985| +|x| 4| 16| 12| 807.9562987| 64|00:04:20|+0.29|0.47|0.8341| +|-| 5| 5| 12| 746.3752382| 80|00:04:55|+0.16|0.33|0.7410| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 746.3752382 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 2023-08-16 07:22:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +9 5 60 0.82734 89 53 92 97 34 +2 5 74 0.18876 89 76 27 49 94 +11 5 59 0.46606 92 71 0 32 16 +5 5 19 0.67523 63 48 23 12 45 +# 2023-08-16 07:22:29 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 12| 300.0000000| 18|00:09:09| NA| NA| NA| +|x| 2| 18| 12| 300.0000000| 31|00:06:40|+0.99|1.00|0.2932| +|x| 1| 18| 25| 605.1109157| 44|00:05:29|+0.28|0.52|0.6505| +|x| 4| 18| 21| 760.7479212| 57|00:05:30|+0.04|0.28|0.8112| +|=| 3| 18| 12| 706.3650390| 70|00:06:30|-0.02|0.19|0.8920| +|=| 5| 18| 12| 671.9793652| 83|00:06:29|+0.06|0.21|0.8603| +|=| 7| 18| 12| 750.4474556| 101|00:07:35|+0.07|0.21|0.8727| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 750.4474556 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 2023-08-16 08:09:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +28 6 24 0.49320 72 62 42 72 63 +17 6 45 0.16434 19 31 41 38 62 +19 6 109 0.76450 70 98 81 91 45 +2 5 74 0.18876 89 76 27 49 94 +# 2023-08-16 08:09:55 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 181 +# remainingBudget: 319 +# currentBudget: 106 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 38| 500.0171400| 17|00:09:00| NA| NA| NA| +|x| 3| 17| 12| 500.0490475| 29|00:05:00|+0.10|0.55|0.8783| +|x| 6| 17| 12| 433.3660317| 41|00:05:00|+0.11|0.40|0.7439| +|x| 2| 17| 12| 400.0245238| 53|00:05:00|+0.15|0.36|0.5975| +|-| 7| 11| 12| 564.2708186| 65|00:04:49|+0.10|0.28|0.5433| +|=| 5| 11| 12| 553.5675148| 71|00:04:56|+0.15|0.29|0.5482| +|-| 4| 5| 12| 647.0468841| 77|00:04:01|+0.01|0.15|0.5962| +|.| 1| 5| 12| 719.1491890| 77|00:00:00|-0.06|0.07|0.6567| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 719.1491890 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 2023-08-16 08:47:43 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +2 5 74 0.18876 89 76 27 49 94 +19 6 109 0.76450 70 98 81 91 45 +17 6 45 0.16434 19 31 41 38 62 +28 6 24 0.49320 72 62 42 72 63 +# 2023-08-16 08:47:43 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 258 +# remainingBudget: 242 +# currentBudget: 121 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 17| 12| 300.0000000| 17|00:09:09| NA| NA| NA| +|x| 7| 17| 28| 751.6224215| 29|00:04:26|+0.50|0.75|0.5997| +|x| 6| 17| 28| 601.0816143| 41|00:05:00|+0.62|0.74|0.5285| +|x| 8| 17| 2| 578.1619655| 53|00:04:59|+0.44|0.58|0.6448| +|-| 3| 10| 12| 564.2708186| 65|00:04:59|-0.14|0.08|0.6309| +|=| 2| 10| 12| 520.2256822| 70|00:04:59|-0.12|0.07|0.5106| +|=| 5| 10| 12| 517.3435841| 75|00:04:47|-0.07|0.08|0.5552| +|=| 4| 10| 12| 603.6660236| 80|00:03:20|+0.01|0.14|0.5703| +|=| 1| 10| 12| 672.5770569| 85|00:03:30|-0.02|0.09|0.6191| +|=| 10| 10| 12| 635.3193512| 95|00:05:00|-0.02|0.08|0.5553| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 635.3193512 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 2023-08-16 09:37:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +2 5 74 0.18876 89 76 27 49 94 +19 6 109 0.76450 70 98 81 91 45 +46 2 62 0.46064 66 91 52 46 67 +28 6 24 0.49320 72 62 42 72 63 +# 2023-08-16 09:37:58 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 353 +# remainingBudget: 147 +# currentBudget: 147 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 17| 63| 1207.970187| 17|00:06:46| NA| NA| NA| +|x| 10| 17| 63| 753.9850935| 29|00:05:00|+0.36|0.68|0.8328| +|x| 6| 17| 63| 602.6567290| 41|00:05:00|+0.53|0.69|0.6218| +|x| 5| 17| 19| 580.1870018| 53|00:04:59|+0.37|0.53|0.7010| +|-| 7| 11| 19| 708.5025366| 65|00:04:34|-0.13|0.09|0.5824| +|=| 2| 11| 19| 640.4187805| 71|00:04:59|-0.11|0.08|0.4792| +|=| 3| 11| 12| 620.4815053| 77|00:04:56|-0.08|0.08|0.5487| +|=| 1| 11| 58| 693.7508961| 83|00:04:05|-0.06|0.07|0.5901| +|=| 4| 11| 54| 752.3161317| 89|00:04:02|-0.05|0.06|0.6335| +|=| 8| 11| 54| 727.0894933| 95|00:04:57|-0.03|0.07|0.6584| +|=| 9| 11| 54| 688.2631757| 101|00:04:59|-0.03|0.07|0.5965| +|=| 12| 11| 54| 672.5873498| 112|00:04:59|-0.05|0.04|0.6358| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 54 mean value: 672.5873498 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +54 54 6 3 0.52338 60 89 39 70 62 28 + +# 2023-08-16 10:37:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +54 6 3 0.52338 60 89 39 70 62 +12 5 19 0.47056 61 32 19 89 95 +19 6 109 0.76450 70 98 81 91 45 +62 5 77 0.16509 95 97 57 48 97 +2 5 74 0.18876 89 76 27 49 94 +# 2023-08-16 10:37:20 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 465 +# remainingBudget: 35 +# currentBudget: 35 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 7| 2| 500.0618260| 7|00:04:58| NA| NA| NA| +|x| 12| 7| 19| 500.0513975| 9|00:04:39|-0.07|0.46|1.2923| +|x| 11| 7| 19| 740.2673420| 11|00:03:33|-0.03|0.31|0.9409| +|x| 5| 7| 19| 680.2127005| 13|00:04:38|+0.06|0.30|0.9049| +|=| 4| 7| 19| 788.3547506| 15|00:03:36|+0.09|0.27|0.8582| +|=| 6| 7| 19| 706.9622922| 17|00:05:00|+0.07|0.23|0.7150| +|=| 7| 7| 19| 780.5054899| 19|00:03:38|+0.09|0.22|0.7173| +|=| 2| 7| 19| 720.4423036| 21|00:05:00|+0.08|0.19|0.6298| +|=| 1| 7| 19| 776.6601163| 23|00:03:35|+0.02|0.13|0.6659| +|=| 9| 7| 19| 728.9941047| 25|00:05:00|+0.02|0.12|0.5994| +|=| 10| 7| 19| 689.9946406| 27|00:05:00|+0.02|0.11|0.5450| +|=| 3| 7| 12| 672.9487353| 29|00:04:38|+0.05|0.13|0.5608| +|=| 8| 7| 12| 659.6497036| 31|00:04:39|+0.06|0.13|0.5811| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 659.6497036 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 2023-08-16 11:35:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +54 6 3 0.52338 60 89 39 70 62 +2 5 74 0.18876 89 76 27 49 94 +19 6 109 0.76450 70 98 81 91 45 +62 5 77 0.16509 95 97 57 48 97 +# 2023-08-16 11:35:21 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 111651.5, CPU sys time: 15.49, Wall-clock time: 16576.06 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 5 19 0.47056 61 32 19 89 95 +54 6 3 0.52338 60 89 39 70 62 +2 5 74 0.18876 89 76 27 49 94 +19 6 109 0.76450 70 98 81 91 45 +62 5 77 0.16509 95 97 57 48 97 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +12 -K5 -k19 -M0.47056 -Q61 -G32 -D19 -O89 -L95 +54 -K6 -k3 -M0.52338 -Q60 -G89 -D39 -O70 -L62 +2 -K5 -k74 -M0.18876 -Q89 -G76 -D27 -O49 -L94 +19 -K6 -k109 -M0.7645 -Q70 -G98 -D81 -O91 -L45 +62 -K5 -k77 -M0.16509 -Q95 -G97 -D57 -O48 -L97 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 11:35:21 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-11.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-11.txt new file mode 100644 index 000000000..5bb037d70 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-11.txt @@ -0,0 +1,296 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 07:00:41 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1304607737 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 07:00:41 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 12| 1210.217014| 16|00:05:10| NA| NA| NA| +|x| 2| 16| 12| 855.1170810| 32|00:05:29|+0.67|0.83|0.5332| +|x| 3| 16| 12| 670.0780540| 48|00:05:29|+0.27|0.51|0.7939| +|x| 4| 16| 12| 627.5655433| 64|00:05:29|+0.31|0.48|0.7776| +|-| 5| 7| 12| 562.0524346| 80|00:05:30|+0.13|0.30|0.4890| +|=| 6| 7| 12| 671.7972015| 87|00:04:22|+0.11|0.26|0.5805| +|-| 7| 2| 12| 749.7878714| 94|00:04:20|+0.13|0.26|0.3095| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 749.7878714 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 07:36:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +4 4 123 0.84219 66 16 83 55 27 +# 2023-08-16 07:36:34 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 14| 12| 300.0000000| 14|00:05:30| NA| NA| NA| +|x| 4| 14| 12| 400.0140055| 26|00:05:29|+0.33|0.67|0.6304| +|x| 2| 14| 12| 433.3483863| 38|00:05:29|+0.33|0.55|0.6565| +|x| 1| 14| 12| 627.5655433| 50|00:04:52|+0.10|0.33|0.7294| +|=| 3| 14| 12| 562.0524346| 62|00:05:29|+0.15|0.32|0.6638| +|-| 5| 7| 12| 518.3770288| 74|00:05:30|+0.10|0.25|0.3734| +|=| 6| 7| 12| 618.6833156| 79|00:04:26|+0.18|0.30|0.4430| +|-| 7| 2| 12| 693.5643875| 84|00:04:22|+0.11|0.23|0.2768| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 693.5643875 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 08:17:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +4 4 123 0.84219 66 16 83 55 27 +# 2023-08-16 08:17:44 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 178 +# remainingBudget: 322 +# currentBudget: 107 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 13| 30| 500.0229600| 13|00:07:11| NA| NA| NA| +|x| 2| 13| 12| 500.0380780| 24|00:05:29|+0.21|0.60|0.2596| +|x| 3| 13| 12| 433.3587187| 35|00:05:30|+0.19|0.46|0.6832| +|x| 4| 13| 12| 450.0260417| 46|00:05:29|+0.27|0.46|0.6258| +|-| 7| 7| 12| 603.5672116| 57|00:04:50|-0.03|0.18|0.9068| +|=| 6| 7| 12| 706.3928490| 62|00:03:42|-0.01|0.16|0.8927| +|=| 5| 7| 12| 648.3367277| 67|00:05:29|+0.03|0.17|0.8254| +|=| 1| 7| 12| 718.5717635| 72|00:03:46|+0.06|0.18|0.7956| +|=| 8| 7| 12| 672.0637898| 77|00:05:30|+0.09|0.19|0.7463| +|-| 10| 5| 12| 634.8574108| 84|00:05:30|-0.02|0.08|0.4979| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 634.8574108 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 09:10:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +4 4 123 0.84219 66 16 83 55 27 +37 6 42 0.85851 29 21 17 31 81 +30 3 123 0.73707 43 58 91 85 25 +32 5 29 0.20812 25 48 20 39 59 +# 2023-08-16 09:10:16 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 262 +# remainingBudget: 238 +# currentBudget: 119 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 30| 500.0667090| 15|00:07:08| NA| NA| NA| +|x| 9| 15| 30| 500.0448345| 25|00:05:27|+0.89|0.94|0.0807| +|x| 6| 15| 30| 736.6225150| 35|00:04:48|+0.44|0.63|0.5032| +|x| 1| 15| 12| 857.7212698| 45|00:04:51|+0.26|0.45|0.6563| +|-| 5| 11| 12| 746.1770158| 55|00:05:30|+0.03|0.23|0.8704| +|=| 10| 11| 30| 672.2885377| 61|00:04:34|+0.05|0.21|0.8159| +|=| 4| 11| 12| 647.2732986| 67|00:04:30|+0.07|0.21|0.8027| +|=| 2| 11| 12| 628.8662797| 73|00:04:28|+0.06|0.18|0.8501| +|=| 8| 11| 12| 592.3255820| 79|00:04:35|+0.07|0.17|0.8145| +|=| 3| 11| 12| 563.0930238| 85|00:04:34|+0.08|0.17|0.7743| +|=| 7| 11| 12| 622.6056481| 91|00:03:16|+0.06|0.15|0.7886| +|=| 12| 11| 12| 672.5662673| 102|00:04:24|+0.07|0.14|0.8004| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 672.5662673 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 10:08:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +37 6 42 0.85851 29 21 17 31 81 +30 3 123 0.73707 43 58 91 85 25 +40 5 34 0.61837 25 1 10 9 84 +32 5 29 0.20812 25 48 20 39 59 +# 2023-08-16 10:08:29 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 364 +# remainingBudget: 136 +# currentBudget: 136 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 15| 51| 500.0217360| 15|00:08:51| NA| NA| NA| +|x| 6| 15| 30| 854.9454560| 25|00:04:49|+0.23|0.61|0.9638| +|x| 4| 15| 12| 740.2181570| 35|00:05:30|+0.31|0.54|0.8164| +|x| 11| 15| 12| 680.1856230| 45|00:05:29|+0.35|0.51|0.7092| +|-| 12| 8| 56| 788.2764238| 55|00:04:52|-0.17|0.06|1.0249| +|=| 9| 8| 56| 740.2444865| 58|00:05:28|-0.12|0.07|0.9886| +|=| 8| 8| 56| 677.3524170| 61|00:05:29|-0.10|0.06|0.8312| +|=| 10| 8| 56| 630.1833649| 64|00:05:29|-0.08|0.05|0.7171| +|=| 1| 8| 12| 694.7946214| 67|00:04:22|-0.07|0.05|0.7362| +|=| 5| 8| 12| 655.3151593| 70|00:05:29|-0.06|0.05|0.6570| +|=| 3| 8| 12| 623.0137812| 73|00:05:30|-0.05|0.04|0.5932| +|=| 2| 8| 12| 612.7640617| 76|00:05:26|-0.01|0.08|0.6100| +|=| 7| 8| 12| 659.3000486| 79|00:04:26|-0.00|0.07|0.6346| +|=| 14| 8| 12| 633.6357594| 87|00:05:30|-0.00|0.07|0.5872| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 633.6357594 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 11:25:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +54 5 18 0.63461 47 32 27 10 89 +56 5 11 0.57340 30 15 13 9 92 +30 3 123 0.73707 43 58 91 85 25 +37 6 42 0.85851 29 21 17 31 81 +# 2023-08-16 11:25:15 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 451 +# remainingBudget: 49 +# currentBudget: 49 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 15| 7| 37| 1221.361997| 7|00:04:10| NA| NA| NA| +|x| 9| 7| 30| 860.9956775| 9|00:05:05|-0.36|0.32|1.0025| +|x| 12| 7| 60| 976.7753747| 11|00:02:53|-0.42|0.06|1.0025| +|x| 13| 7| 12| 861.4177580| 13|00:05:08|-0.31|0.02|0.9810| +|=| 7| 7| 12| 932.6805846| 15|00:02:49|-0.20|0.04|0.9454| +|=| 1| 7| 12| 978.9366562| 17|00:03:01|-0.10|0.09|0.9078| +|=| 6| 7| 12| 1013.448710| 19|00:03:03|-0.03|0.12|0.8596| +|=| 10| 7| 12| 924.2676216| 21|00:05:30|-0.02|0.10|0.7518| +|=| 8| 7| 12| 854.9045526| 23|00:05:30|-0.02|0.09|0.6681| +|=| 3| 7| 12| 799.4140973| 25|00:05:29|-0.02|0.08|0.6011| +|=| 14| 7| 12| 754.0128157| 27|00:05:30|-0.02|0.08|0.5464| +|=| 5| 7| 12| 716.1784144| 29|00:05:29|-0.01|0.07|0.5008| +|=| 4| 7| 12| 699.5514603| 31|00:05:09|-0.02|0.05|0.5416| +|=| 2| 7| 12| 685.2990094| 33|00:05:10|-0.00|0.07|0.5538| +|=| 11| 7| 12| 672.9516102| 35|00:05:07|+0.01|0.08|0.5623| +|=| 16| 7| 12| 662.1444302| 42|00:05:30|+0.03|0.09|0.5651| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 662.1444302 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 2023-08-16 12:39:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +30 3 123 0.73707 43 58 91 85 25 +37 6 42 0.85851 29 21 17 31 81 +54 5 18 0.63461 47 32 27 10 89 +60 6 18 0.48233 52 15 11 16 92 +# 2023-08-16 12:39:57 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 112835.8, CPU sys time: 22.535, Wall-clock time: 20355.74 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.68644 35 20 16 36 95 +30 3 123 0.73707 43 58 91 85 25 +37 6 42 0.85851 29 21 17 31 81 +54 5 18 0.63461 47 32 27 10 89 +60 6 18 0.48233 52 15 11 16 92 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +12 -K6 -k7 -M0.68644 -Q35 -G20 -D16 -O36 -L95 +30 -K3 -k123 -M0.73707 -Q43 -G58 -D91 -O85 -L25 +37 -K6 -k42 -M0.85851 -Q29 -G21 -D17 -O31 -L81 +54 -K5 -k18 -M0.63461 -Q47 -G32 -D27 -O10 -L89 +60 -K6 -k18 -M0.48233 -Q52 -G15 -D11 -O16 -L92 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 12:39:57 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-12.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-12.txt new file mode 100644 index 000000000..1ad09280c --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-12.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 07:02:36 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 644634417 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 07:02:36 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 300.0000000| 16|00:06:59| NA| NA| NA| +|x| 2| 16| 10| 400.0122480| 32|00:06:47|-0.20|0.40|1.0161| +|x| 3| 16| 14| 668.0516373| 48|00:05:46|+0.04|0.36|0.7896| +|x| 4| 16| 14| 576.0387280| 64|00:06:59|+0.05|0.29|0.7981| +|=| 5| 16| 14| 560.8401166| 80|00:06:49|+0.14|0.31|0.7616| +|=| 6| 16| 14| 671.1744863| 96|00:05:45|+0.08|0.24|0.8125| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 671.1744863 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 4 97 0.88757 92 34 55 64 73 NA + +# 2023-08-16 07:41:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 4 97 0.88757 92 34 55 64 73 +16 5 5 0.47064 70 54 50 85 100 +7 2 94 0.20646 55 35 87 32 48 +4 1 115 0.93466 58 40 42 54 43 +10 2 46 0.63734 67 13 79 88 19 +# 2023-08-16 07:41:45 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 14| 300.0000000| 18|00:07:00| NA| NA| NA| +|x| 4| 18| 14| 300.0000000| 31|00:06:00|+1.00|1.00|0.1260| +|x| 2| 18| 10| 366.6748320| 44|00:05:48|+0.37|0.58|0.6500| +|x| 6| 18| 24| 576.7793488| 57|00:04:30|+0.25|0.44|0.7142| +|-| 5| 12| 24| 561.4272648| 70|00:05:46|+0.02|0.22|0.7203| +|=| 3| 12| 24| 668.2782745| 77|00:03:36|+0.09|0.24|0.7577| +|=| 1| 12| 24| 615.6670924| 84|00:05:59|+0.12|0.24|0.7125| +|-| 8| 6| 24| 691.4676212| 96|00:04:06|+0.11|0.23|0.4839| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 691.4676212 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 122 0.82996 84 5 70 29 72 14 + +# 2023-08-16 08:24:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 122 0.82996 84 5 70 29 72 +14 4 97 0.88757 92 34 55 64 73 +28 4 88 0.79517 97 18 68 63 23 +7 2 94 0.20646 55 35 87 32 48 +16 5 5 0.47064 70 54 50 85 100 +# 2023-08-16 08:24:34 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 33| 500.0221240| 15|00:05:53| NA| NA| NA| +|x| 1| 15| 33| 400.0110620| 25|00:06:00|+0.44|0.72|0.5505| +|x| 4| 15| 33| 366.6740413| 35|00:05:59|+0.56|0.71|0.3669| +|x| 2| 15| 33| 400.0124985| 45|00:05:46|+0.50|0.63|0.4690| +|-| 8| 10| 33| 560.4520936| 55|00:04:01|+0.16|0.33|0.4125| +|=| 3| 10| 33| 668.0193018| 60|00:03:31|+0.16|0.30|0.4444| +|=| 5| 10| 24| 646.3912400| 65|00:05:39|+0.11|0.24|0.5414| +|=| 7| 10| 24| 603.0923350| 70|00:06:00|+0.10|0.21|0.4864| +|=| 6| 10| 24| 670.2032381| 75|00:03:32|+0.07|0.17|0.5461| +|=| 10| 10| 24| 633.1829143| 85|00:06:00|+0.06|0.15|0.4969| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 633.1829143 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 122 0.82996 84 5 70 29 72 14 + +# 2023-08-16 09:17:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 122 0.82996 84 5 70 29 72 +33 5 120 0.52621 84 56 43 42 80 +14 4 97 0.88757 92 34 55 64 73 +36 6 111 0.63128 90 36 85 1 69 +39 3 112 0.85215 97 19 75 54 97 +# 2023-08-16 09:17:01 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 24| 500.0125740| 14|00:06:47| NA| NA| NA| +|x| 8| 14| 24| 861.0419485| 23|00:03:53|+0.14|0.57|0.9406| +|x| 2| 14| 24| 740.7036097| 32|00:04:51|+0.17|0.45|0.7112| +|x| 1| 14| 24| 630.5277072| 41|00:05:00|+0.11|0.34|0.5878| +|=| 7| 14| 24| 564.4221658| 50|00:05:00|+0.09|0.27|0.4919| +|-| 9| 7| 24| 553.6998337| 59|00:04:51|-0.01|0.16|0.5488| +|=| 4| 7| 24| 517.4570003| 61|00:05:00|-0.01|0.14|0.4736| +|=| 10| 7| 24| 490.2748752| 63|00:04:59|-0.01|0.12|0.4164| +|=| 5| 7| 24| 491.3575479| 65|00:04:38|+0.07|0.17|0.4423| +|-| 3| 5| 24| 562.4751254| 67|00:03:27|+0.11|0.20|0.4214| +|.| 6| 5| 24| 621.0765197| 67|00:00:00|+0.09|0.18|0.4677| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 621.0765197 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 122 0.82996 84 5 70 29 72 14 + +# 2023-08-16 10:05:33 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 122 0.82996 84 5 70 29 72 +36 6 111 0.63128 90 36 85 1 69 +33 5 120 0.52621 84 56 43 42 80 +14 4 97 0.88757 92 34 55 64 73 +39 3 112 0.85215 97 19 75 54 97 +# 2023-08-16 10:05:33 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 344 +# remainingBudget: 156 +# currentBudget: 156 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 17| 60| 1206.898786| 17|00:08:26| NA| NA| NA| +|x| 3| 17| 50| 1211.979043| 29|00:04:59|+0.23|0.61|0.8708| +|x| 5| 17| 24| 974.6493870| 41|00:05:58|+0.18|0.45|0.8782| +|x| 11| 17| 24| 855.9901838| 53|00:05:58|+0.26|0.45|0.7685| +|=| 8| 17| 50| 929.0415826| 65|00:04:50|+0.16|0.33|0.9094| +|=| 7| 17| 50| 824.2013188| 77|00:06:00|+0.13|0.27|0.7631| +|-| 9| 11| 52| 777.9990063| 89|00:05:58|+0.02|0.16|0.7720| +|=| 1| 11| 52| 718.2491305| 95|00:05:59|+0.02|0.14|0.6764| +|=| 10| 11| 52| 671.7770049| 101|00:06:00|+0.02|0.13|0.6018| +|=| 4| 11| 52| 634.5993044| 107|00:05:59|+0.02|0.11|0.5421| +|=| 6| 11| 52| 687.9353077| 113|00:04:05|+0.00|0.09|0.5862| +|=| 2| 11| 52| 672.2756420| 119|00:05:48|+0.05|0.13|0.5953| +|-| 13| 8| 52| 714.6186427| 130|00:04:51|-0.01|0.07|0.5974| +|=| 14| 8| 52| 699.2927089| 138|00:05:58|+0.00|0.07|0.6063| +|=| 15| 8| 52| 672.6731949| 146|00:06:00|+0.00|0.07|0.5671| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 672.6731949 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 6 113 0.76578 84 1 54 27 64 24 + +# 2023-08-16 11:32:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 6 113 0.76578 84 1 54 27 64 +24 6 122 0.82996 84 5 70 29 72 +60 6 124 0.88888 99 27 76 60 68 +33 5 120 0.52621 84 56 43 42 80 +36 6 111 0.63128 90 36 85 1 69 +# 2023-08-16 11:32:28 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 113479.9, CPU sys time: 19.923, Wall-clock time: 16191.58 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +52 6 113 0.76578 84 1 54 27 64 +24 6 122 0.82996 84 5 70 29 72 +60 6 124 0.88888 99 27 76 60 68 +33 5 120 0.52621 84 56 43 42 80 +36 6 111 0.63128 90 36 85 1 69 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +52 -K6 -k113 -M0.76578 -Q84 -G1 -D54 -O27 -L64 +24 -K6 -k122 -M0.82996 -Q84 -G5 -D70 -O29 -L72 +60 -K6 -k124 -M0.88888 -Q99 -G27 -D76 -O60 -L68 +33 -K5 -k120 -M0.52621 -Q84 -G56 -D43 -O42 -L80 +36 -K6 -k111 -M0.63128 -Q90 -G36 -D85 -O1 -L69 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 11:32:28 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-13.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-13.txt new file mode 100644 index 000000000..10fa8210d --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-13.txt @@ -0,0 +1,298 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 07:24:33 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1516762062 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 07:24:33 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 8| 1216.972835| 16|00:05:47| NA| NA| NA| +|x| 2| 16| 1| 860.9350015| 32|00:06:25|-0.11|0.45|1.0161| +|x| 3| 16| 1| 673.9566677| 48|00:06:30|+0.15|0.44|0.9423| +|x| 4| 16| 12| 810.6787285| 64|00:05:43|+0.25|0.44|0.8345| +|-| 5| 9| 12| 708.5429828| 80|00:06:30|-0.02|0.19|0.7711| +|=| 6| 9| 12| 673.7996588| 89|00:06:25|+0.04|0.20|0.7837| +|=| 7| 9| 12| 751.9588701| 98|00:05:32|+0.09|0.22|0.8046| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 751.9588701 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 104 0.70817 41 93 37 94 42 NA + +# 2023-08-16 08:07:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 104 0.70817 41 93 37 94 42 +7 5 36 0.73218 67 28 85 89 99 +16 2 75 0.80663 95 15 66 90 1 +1 4 85 0.48014 81 49 72 89 4 +5 4 11 0.79335 91 57 60 4 56 +# 2023-08-16 08:07:29 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 12| 300.0000000| 16|00:07:35| NA| NA| NA| +|x| 3| 16| 12| 300.0000000| 27|00:06:29|+0.83|0.92|0.0004| +|x| 2| 16| 18| 366.6822033| 38|00:06:27|+0.23|0.49|0.7165| +|x| 1| 16| 1| 580.4675007| 49|00:05:50|+0.08|0.31|0.8679| +|-| 5| 14| 1| 524.3740006| 60|00:06:29|-0.05|0.16|0.7402| +|=| 6| 14| 1| 520.3255395| 69|00:06:28|-0.10|0.09|0.8239| +|=| 4| 14| 12| 620.3997076| 78|00:05:47|-0.08|0.07|0.8049| +|=| 7| 14| 22| 692.9863088| 87|00:05:49|-0.07|0.07|0.8438| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 22 mean value: 692.9863088 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +22 22 2 71 0.56281 90 92 45 99 18 12 + +# 2023-08-16 08:58:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +22 2 71 0.56281 90 92 45 99 18 +12 6 104 0.70817 41 93 37 94 42 +24 6 72 0.88257 93 97 55 90 4 +1 4 85 0.48014 81 49 72 89 4 +20 6 43 0.20991 95 40 78 91 11 +# 2023-08-16 08:58:27 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 32| 500.0216560| 16|00:07:32| NA| NA| NA| +|x| 3| 16| 32| 400.0108280| 27|00:06:30|+0.26|0.63|0.5786| +|x| 5| 16| 32| 366.6738853| 38|00:06:30|+0.36|0.57|0.3857| +|x| 8| 16| 32| 350.0054140| 49|00:06:29|+0.41|0.56|0.2893| +|-| 1| 11| 12| 524.2066632| 60|00:05:43|-0.07|0.15|0.3848| +|=| 2| 11| 12| 520.1996860| 66|00:06:27|-0.09|0.09|0.5180| +|=| 7| 11| 32| 617.6420869| 72|00:05:39|-0.08|0.07|0.5802| +|=| 4| 11| 22| 692.9876089| 78|00:05:30|-0.04|0.09|0.6203| +|=| 6| 11| 37| 672.4568490| 84|00:06:28|-0.04|0.08|0.6544| +|=| 10| 11| 12| 728.5606844| 95|00:05:57|-0.03|0.07|0.6687| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 728.5606844 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 104 0.70817 41 93 37 94 42 NA + +# 2023-08-16 10:01:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 104 0.70817 41 93 37 94 42 +37 4 98 0.85778 70 68 32 79 10 +24 6 72 0.88257 93 97 55 90 4 +32 6 41 0.56049 99 81 90 69 35 +30 6 27 0.16698 86 40 90 83 15 +# 2023-08-16 10:01:17 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 280 +# remainingBudget: 220 +# currentBudget: 110 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 12| 300.0000000| 14|00:09:44| NA| NA| NA| +|x| 7| 14| 32| 750.4861315| 23|00:05:50|-0.08|0.46|0.9929| +|x| 9| 14| 32| 666.9979730| 32|00:06:26|+0.07|0.38|0.8916| +|x| 10| 14| 32| 806.0727968| 41|00:05:46|+0.03|0.27|0.8882| +|=| 8| 14| 32| 704.8582374| 50|00:06:29|+0.02|0.22|0.7186| +|=| 3| 14| 32| 637.3818645| 59|00:06:29|+0.02|0.18|0.6029| +|=| 4| 14| 12| 723.4799063| 68|00:05:44|+0.03|0.16|0.6262| +|=| 1| 14| 12| 785.6698756| 77|00:05:44|+0.03|0.15|0.6573| +|=| 6| 14| 12| 753.9380049| 86|00:06:26|+0.01|0.12|0.6515| +|=| 2| 14| 43| 729.1748319| 95|00:06:26|+0.00|0.10|0.7067| +|=| 5| 14| 43| 690.1589381| 104|00:06:30|+0.00|0.09|0.6457| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 690.1589381 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 4 36 0.80085 57 76 55 76 29 12 + +# 2023-08-16 11:12:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 4 36 0.80085 57 76 55 76 29 +12 6 104 0.70817 41 93 37 94 42 +40 4 80 0.99710 51 86 62 65 7 +37 4 98 0.85778 70 68 32 79 10 +39 5 117 0.53325 74 33 28 94 23 +# 2023-08-16 11:12:56 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 39| 500.0451750| 14|00:09:33| NA| NA| NA| +|x| 9| 14| 39| 500.0490080| 23|00:06:24|+0.54|0.77|0.4680| +|x| 11| 14| 39| 433.3660053| 32|00:06:30|+0.26|0.51|0.6582| +|x| 6| 14| 39| 450.0282180| 41|00:06:24|+0.28|0.46|0.6757| +|-| 10| 8| 54| 604.3692726| 50|00:05:21|+0.10|0.28|0.6494| +|=| 1| 8| 54| 704.7271290| 53|00:04:24|+0.05|0.21|0.6587| +|=| 2| 8| 54| 675.5161907| 56|00:05:13|-0.04|0.11|0.7743| +|=| 4| 8| 54| 743.9919305| 59|00:04:19|-0.07|0.07|0.7806| +|=| 8| 8| 54| 694.6594938| 62|00:05:24|-0.06|0.06|0.6922| +|=| 5| 8| 54| 655.1935444| 65|00:05:24|-0.05|0.05|0.6218| +|=| 3| 8| 54| 622.9032222| 68|00:05:25|-0.05|0.05|0.5644| +|=| 7| 8| 49| 671.3748843| 71|00:04:28|-0.06|0.03|0.6050| +|=| 13| 8| 49| 642.8075855| 79|00:06:29|-0.06|0.03|0.5568| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 642.8075855 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 2 32 0.69104 85 81 45 81 38 43 + +# 2023-08-16 12:28:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 2 32 0.69104 85 81 45 81 38 +12 6 104 0.70817 41 93 37 94 42 +37 4 98 0.85778 70 68 32 79 10 +54 4 90 0.86070 67 58 39 66 30 +39 5 117 0.53325 74 33 28 94 23 +# 2023-08-16 12:28:21 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 463 +# remainingBudget: 37 +# currentBudget: 37 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 7| 54| 500.0559900| 7|00:06:21| NA| NA| NA| +|x| 9| 7| 12| 500.0730815| 9|00:03:05|-0.18|0.41|1.1081| +|x| 11| 7| 12| 433.3820543| 11|00:03:15|-0.09|0.27|0.6551| +|x| 2| 7| 12| 450.0777407| 13|00:03:06|-0.12|0.16|0.7362| +|=| 5| 7| 12| 420.0621926| 15|00:03:15|-0.09|0.13|0.5703| +|=| 4| 7| 12| 553.6435693| 17|00:02:32|-0.10|0.08|0.6710| +|=| 1| 7| 12| 648.9801539| 19|00:02:42|-0.09|0.06|0.7048| +|=| 3| 7| 12| 605.3576346| 21|00:03:14|-0.08|0.06|0.6052| +|=| 10| 7| 12| 673.8580194| 23|00:02:35|-0.05|0.07|0.6153| +|=| 12| 7| 12| 656.4853653| 25|00:03:06|-0.02|0.08|0.6273| +|=| 7| 7| 12| 707.7970719| 27|00:02:36|-0.02|0.07|0.6587| +|=| 13| 7| 12| 673.8139826| 29|00:03:14|-0.02|0.07|0.6009| +|=| 8| 7| 12| 645.0590608| 31|00:03:15|-0.02|0.06|0.5524| +|=| 6| 7| 12| 634.7036307| 33|00:03:06|+0.01|0.08|0.5564| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 634.7036307 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 104 0.70817 41 93 37 94 42 NA + +# 2023-08-16 13:13:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 104 0.70817 41 93 37 94 42 +54 4 90 0.86070 67 58 39 66 30 +37 4 98 0.85778 70 68 32 79 10 +39 5 117 0.53325 74 33 28 94 23 +49 2 32 0.69104 85 81 45 81 38 +# 2023-08-16 13:13:49 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 122424.9, CPU sys time: 13.848, Wall-clock time: 20956.34 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 104 0.70817 41 93 37 94 42 +54 4 90 0.86070 67 58 39 66 30 +37 4 98 0.85778 70 68 32 79 10 +39 5 117 0.53325 74 33 28 94 23 +49 2 32 0.69104 85 81 45 81 38 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +12 -K6 -k104 -M0.70817 -Q41 -G93 -D37 -O94 -L42 +54 -K4 -k90 -M0.8607 -Q67 -G58 -D39 -O66 -L30 +37 -K4 -k98 -M0.85778 -Q70 -G68 -D32 -O79 -L10 +39 -K5 -k117 -M0.53325 -Q74 -G33 -D28 -O94 -L23 +49 -K2 -k32 -M0.69104 -Q85 -G81 -D45 -O81 -L38 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 13:13:49 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-14.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-14.txt new file mode 100644 index 000000000..b8c3c1bf6 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-14.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 07:32:43 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1951159933 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 07:32:43 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 11| 1205.018991| 16|00:07:40| NA| NA| NA| +|x| 2| 16| 1| 757.5467010| 32|00:09:20|+0.28|0.64|1.7178| +|x| 3| 16| 1| 671.7117933| 48|00:08:58|+0.37|0.58|1.1301| +|x| 4| 16| 1| 578.7838450| 64|00:09:20|+0.43|0.58|1.0402| +|-| 5| 11| 1| 707.3564270| 80|00:07:41|-0.03|0.17|0.9951| +|=| 6| 11| 15| 674.0135417| 91|00:06:56|+0.02|0.18|0.9647| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 674.0135417 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 6 38 0.42437 94 84 37 0 20 NA + +# 2023-08-16 08:22:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 6 38 0.42437 94 84 37 0 20 +11 5 8 0.92926 94 30 3 64 78 +1 4 31 0.50781 89 54 52 66 77 +2 5 47 0.13559 18 37 76 4 97 +7 5 89 0.89891 45 72 84 30 82 +# 2023-08-16 08:22:41 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 20| 1205.301480| 18|00:10:31| NA| NA| NA| +|x| 3| 18| 15| 852.6836495| 31|00:09:08|+0.57|0.78|0.5250| +|x| 5| 18| 20| 975.6318220| 44|00:07:34|+0.26|0.51|0.8845| +|x| 2| 18| 20| 806.7238665| 57|00:09:20|+0.14|0.36|0.9591| +|=| 4| 18| 20| 705.3790932| 70|00:09:19|+0.11|0.28|0.8856| +|-| 1| 15| 20| 791.4851030| 83|00:07:38|-0.03|0.14|1.0288| +|=| 6| 15| 15| 749.9197631| 93|00:07:00|-0.07|0.08|1.0294| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 749.9197631 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 6 38 0.42437 94 84 37 0 20 NA + +# 2023-08-16 09:23:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 6 38 0.42437 94 84 37 0 20 +20 6 23 0.56287 100 4 30 96 83 +22 5 43 0.58671 80 96 23 32 14 +1 4 31 0.50781 89 54 52 66 77 +28 5 50 0.98048 75 28 34 29 73 +# 2023-08-16 09:23:15 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 184 +# remainingBudget: 316 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 15| 300.0000000| 17|00:11:40| NA| NA| NA| +|x| 1| 17| 22| 752.6567600| 29|00:06:35|-0.07|0.46|0.9099| +|x| 6| 17| 22| 668.4581613| 41|00:06:57|+0.04|0.36|0.9342| +|x| 2| 17| 22| 576.3436210| 53|00:07:00|+0.06|0.30|0.7836| +|=| 3| 17| 15| 564.4090704| 65|00:06:57|+0.08|0.26|0.9015| +|=| 4| 17| 15| 520.3408920| 77|00:07:00|+0.09|0.24|0.8046| +|=| 7| 17| 15| 618.2003491| 89|00:06:34|+0.01|0.15|0.8363| +|=| 5| 17| 31| 694.0831377| 101|00:06:36|+0.02|0.14|0.8862| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 694.0831377 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 5 86 0.91294 90 39 77 13 62 15 + +# 2023-08-16 10:22:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 5 86 0.91294 90 39 77 13 62 +15 6 38 0.42437 94 84 37 0 20 +22 5 43 0.58671 80 96 23 32 14 +38 5 12 0.67550 73 69 16 15 15 +32 4 40 0.75425 93 25 30 73 67 +# 2023-08-16 10:22:36 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 285 +# remainingBudget: 215 +# currentBudget: 107 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 49| 500.0268350| 16|00:11:31| NA| NA| NA| +|x| 6| 16| 15| 500.0639055| 27|00:06:57|+0.16|0.58|0.8466| +|x| 2| 16| 15| 433.3759370| 38|00:07:00|+0.10|0.40|0.9262| +|x| 7| 16| 15| 626.3712258| 49|00:06:16|-0.03|0.23|0.9177| +|=| 4| 16| 15| 561.0969806| 60|00:06:59|+0.01|0.21|0.8383| +|=| 1| 16| 15| 671.2501115| 71|00:06:22|+0.02|0.18|0.8625| +|=| 3| 16| 15| 646.7872680| 82|00:06:56|-0.02|0.12|0.8456| +|=| 5| 16| 15| 718.6933468| 93|00:06:13|-0.01|0.12|0.8232| +|=| 8| 16| 15| 672.1718638| 104|00:06:59|+0.02|0.13|0.8046| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 15 mean value: 672.1718638 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +15 15 6 38 0.42437 94 84 37 0 20 NA + +# 2023-08-16 11:27:53 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +15 6 38 0.42437 94 84 37 0 20 +22 5 43 0.58671 80 96 23 32 14 +45 6 41 0.43649 66 67 28 45 16 +32 4 40 0.75425 93 25 30 73 67 +38 5 12 0.67550 73 69 16 15 15 +# 2023-08-16 11:27:53 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 389 +# remainingBudget: 111 +# currentBudget: 111 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 15| 300.0000000| 15|00:11:39| NA| NA| NA| +|x| 4| 15| 15| 300.0000000| 25|00:06:59|+1.00|1.00|0.0351| +|x| 5| 15| 56| 600.6842560| 35|00:06:15|+0.25|0.50|0.7499| +|x| 6| 15| 56| 575.5180515| 45|00:06:59|+0.19|0.39|0.7169| +|=| 3| 15| 38| 561.6100080| 55|00:07:00|+0.14|0.31|0.7861| +|=| 9| 15| 56| 550.3563322| 65|00:06:59|+0.08|0.23|0.8232| +|=| 1| 15| 56| 646.1044941| 75|00:06:06|+0.10|0.23|0.8808| +|-| 8| 10| 56| 602.8414324| 85|00:06:59|-0.03|0.10|0.8494| +|=| 7| 10| 56| 671.5802684| 90|00:05:24|-0.01|0.11|0.8615| +|=| 2| 10| 56| 634.4222416| 95|00:07:00|+0.01|0.11|0.8104| +|=| 11| 10| 56| 687.8237632| 105|00:06:27|+0.01|0.10|0.8145| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 56 mean value: 687.8237632 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +56 56 6 59 0.38974 98 91 31 13 16 15 + +# 2023-08-16 12:45:47 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +56 6 59 0.38974 98 91 31 13 16 +58 6 38 0.35738 98 53 26 51 5 +15 6 38 0.42437 94 84 37 0 20 +57 6 47 0.37457 91 79 45 4 24 +22 5 43 0.58671 80 96 23 32 14 +# 2023-08-16 12:45:47 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 156488.9, CPU sys time: 20.805, Wall-clock time: 18783.38 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +56 6 59 0.38974 98 91 31 13 16 +58 6 38 0.35738 98 53 26 51 5 +15 6 38 0.42437 94 84 37 0 20 +57 6 47 0.37457 91 79 45 4 24 +22 5 43 0.58671 80 96 23 32 14 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +56 -K6 -k59 -M0.38974 -Q98 -G91 -D31 -O13 -L16 +58 -K6 -k38 -M0.35738 -Q98 -G53 -D26 -O51 -L5 +15 -K6 -k38 -M0.42437 -Q94 -G84 -D37 -O0 -L20 +57 -K6 -k47 -M0.37457 -Q91 -G79 -D45 -O4 -L24 +22 -K5 -k43 -M0.58671 -Q80 -G96 -D23 -O32 -L14 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 12:45:47 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-15.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-15.txt new file mode 100644 index 000000000..7f3638dfe --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-15.txt @@ -0,0 +1,297 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 12:08:14 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1155012232 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 12:08:14 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 16| 1221.429908| 16|00:09:27| NA| NA| NA| +|x| 2| 16| 16| 860.7526705| 32|00:11:03|+0.17|0.59|0.8852| +|x| 3| 16| 16| 673.8351137| 48|00:11:14|+0.18|0.45|0.7654| +|x| 4| 16| 16| 630.3975208| 64|00:11:03|+0.32|0.49|0.6362| +|-| 5| 8| 16| 564.3180166| 80|00:11:14|+0.24|0.39|0.4742| +|=| 6| 8| 16| 671.6171715| 88|00:06:42|+0.06|0.22|0.5202| +|=| 7| 8| 16| 618.5290041| 96|00:07:29|+0.05|0.19|0.4549| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 618.5290041 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 6 39 0.69944 55 22 87 31 8 NA + +# 2023-08-16 13:16:29 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 6 39 0.69944 55 22 87 31 8 +5 3 70 0.51570 85 8 86 73 26 +13 5 34 0.75131 61 63 33 44 56 +2 6 19 0.76826 32 95 43 53 28 +4 5 76 0.82293 79 6 75 70 70 +# 2023-08-16 13:16:29 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 21| 500.0490430| 17|00:12:17| NA| NA| NA| +|x| 5| 17| 21| 400.0245215| 29|00:07:30|-0.11|0.45|1.0638| +|x| 7| 17| 21| 366.6830143| 41|00:07:29|+0.03|0.35|0.7092| +|x| 6| 17| 16| 577.0406880| 53|00:07:12|+0.05|0.29|0.7700| +|=| 4| 17| 16| 561.6494988| 65|00:07:29|+0.05|0.24|0.8349| +|=| 2| 17| 16| 551.3871545| 77|00:07:29|+0.12|0.27|0.7954| +|-| 3| 12| 16| 515.4747039| 89|00:07:30|-0.02|0.13|0.5193| +|=| 1| 12| 16| 603.7191044| 96|00:05:30|-0.02|0.11|0.5835| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 603.7191044 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 6 39 0.69944 55 22 87 31 8 NA + +# 2023-08-16 14:19:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 6 39 0.69944 55 22 87 31 8 +24 6 33 0.36031 84 42 57 78 80 +21 5 44 0.65761 39 35 64 36 35 +5 3 70 0.51570 85 8 86 73 26 +13 5 34 0.75131 61 63 33 44 56 +# 2023-08-16 14:19:00 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 38| 1202.384769| 15|00:09:33| NA| NA| NA| +|x| 8| 15| 38| 851.2086180| 25|00:07:20|+0.10|0.55|0.7595| +|x| 6| 15| 38| 974.5048347| 35|00:05:40|-0.11|0.26|1.0617| +|x| 4| 15| 38| 855.8810507| 45|00:07:21|+0.01|0.26|0.9778| +|=| 1| 15| 38| 928.8597444| 55|00:05:47|+0.06|0.25|0.9555| +|=| 3| 15| 38| 824.0497870| 65|00:07:29|+0.07|0.22|0.8874| +|=| 7| 15| 38| 749.1855317| 75|00:07:30|+0.08|0.21|0.8127| +|=| 2| 15| 38| 718.0441651| 85|00:07:21|+0.04|0.16|0.8666| +|=| 5| 15| 38| 671.5948134| 95|00:07:29|+0.06|0.17|0.8029| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 671.5948134 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 6 81 0.83573 87 13 23 69 43 5 + +# 2023-08-16 15:24:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 6 81 0.83573 87 13 23 69 43 +30 4 123 0.43567 94 5 95 72 6 +37 4 20 0.32812 16 61 34 10 30 +34 5 68 0.12432 93 5 92 54 74 +21 5 44 0.65761 39 35 64 36 35 +# 2023-08-16 15:24:34 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 48| 500.0207890| 15|00:09:44| NA| NA| NA| +|x| 5| 15| 48| 400.0103945| 25|00:07:29|+0.00|0.50|0.4667| +|x| 2| 15| 37| 433.3643767| 35|00:07:21|+0.14|0.43|0.5754| +|x| 7| 15| 37| 400.0232825| 45|00:07:30|+0.09|0.32|0.4433| +|=| 3| 15| 37| 380.0186260| 55|00:07:29|+0.07|0.26|0.3593| +|=| 8| 15| 41| 400.0116803| 65|00:07:22|+0.09|0.25|0.4064| +|-| 1| 9| 41| 514.5595520| 75|00:06:12|+0.08|0.21|0.4673| +|=| 4| 9| 41| 512.7553561| 79|00:06:11|+0.05|0.17|0.5262| +|=| 9| 9| 38| 591.4786980| 83|00:05:10|+0.03|0.14|0.5752| +|=| 6| 9| 37| 652.5351495| 87|00:05:00|+0.08|0.17|0.6023| +|=| 11| 9| 38| 705.8969803| 96|00:05:46|+0.08|0.17|0.6166| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 705.8969803 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 6 81 0.83573 87 13 23 69 43 5 + +# 2023-08-16 16:39:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 6 81 0.83573 87 13 23 69 43 +41 5 80 0.89180 94 12 23 46 43 +37 4 20 0.32812 16 61 34 10 30 +30 4 123 0.43567 94 5 95 72 6 +34 5 68 0.12432 93 5 92 54 74 +# 2023-08-16 16:39:55 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 383 +# remainingBudget: 117 +# currentBudget: 117 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 38| 300.0000000| 14|00:11:15| NA| NA| NA| +|x| 1| 14| 41| 750.9233910| 23|00:05:57|-0.03|0.48|0.7593| +|x| 3| 14| 41| 600.6155940| 32|00:07:30|+0.24|0.49|0.5440| +|x| 4| 14| 53| 576.5242443| 41|00:07:28|+0.23|0.42|0.5871| +|-| 7| 10| 53| 521.2193954| 50|00:07:30|-0.06|0.16|0.3823| +|=| 11| 10| 53| 637.8475532| 55|00:05:30|+0.05|0.21|0.4471| +|=| 9| 10| 38| 720.5186029| 60|00:05:21|+0.04|0.18|0.5074| +|=| 8| 10| 38| 692.9578359| 65|00:07:21|+0.08|0.19|0.5469| +|=| 2| 10| 38| 671.5241429| 70|00:07:19|+0.09|0.19|0.5602| +|=| 5| 10| 38| 634.3717286| 75|00:07:29|+0.08|0.18|0.5082| +|-| 6| 9| 38| 687.7104140| 80|00:05:25|-0.01|0.08|0.5891| +|=| 10| 9| 38| 672.0722319| 84|00:07:20|+0.01|0.10|0.6033| +|=| 13| 9| 38| 643.4512910| 93|00:07:30|+0.01|0.09|0.5561| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 643.4512910 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 6 81 0.83573 87 13 23 69 43 5 + +# 2023-08-16 18:12:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 6 81 0.83573 87 13 23 69 43 +53 6 79 0.18011 100 19 95 38 40 +41 5 80 0.89180 94 12 23 46 43 +52 5 74 0.98081 71 10 42 49 45 +57 5 86 0.66755 93 9 24 37 29 +# 2023-08-16 18:12:56 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 476 +# remainingBudget: 24 +# currentBudget: 24 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 53| 500.0154570| 6|00:07:23| NA| NA| NA| +|x| 5| 6| 53| 400.0077285| 7|00:06:14|+0.00|0.50|0.4167| +|x| 1| 6| 53| 668.7033340| 8|00:03:37|-0.01|0.32|0.4900| +|x| 7| 6| 53| 576.5275005| 9|00:06:15|-0.01|0.24|0.3839| +|=| 6| 6| 53| 701.5853030| 10|00:03:31|+0.12|0.30|0.4009| +|=| 8| 6| 53| 667.9975627| 11|00:05:44|+0.10|0.25|0.4776| +|=| 12| 6| 53| 615.4264823| 12|00:06:15|+0.08|0.21|0.4205| +|=| 2| 6| 53| 601.0052844| 13|00:05:43|+0.13|0.24|0.4303| +|=| 11| 6| 53| 669.8922908| 14|00:03:38|+0.10|0.20|0.5044| +|=| 3| 6| 53| 632.9030617| 15|00:06:15|+0.09|0.18|0.4591| +|=| 10| 6| 53| 620.8257133| 16|00:05:44|+0.03|0.12|0.5372| +|=| 13| 6| 53| 594.0902372| 17|00:06:15|+0.03|0.11|0.4919| +|=| 4| 6| 53| 586.8527137| 18|00:05:44|+0.05|0.12|0.5104| +|=| 9| 6| 53| 632.2778109| 19|00:03:49|+0.01|0.08|0.5465| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 632.2778109 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 6 79 0.18011 100 19 95 38 40 34 + +# 2023-08-16 19:29:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 6 79 0.18011 100 19 95 38 40 +38 6 81 0.83573 87 13 23 69 43 +41 5 80 0.89180 94 12 23 46 43 +57 5 86 0.66755 93 9 24 37 29 +52 5 74 0.98081 71 10 42 49 45 +# 2023-08-16 19:29:12 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 155182.5, CPU sys time: 16.642, Wall-clock time: 26457.78 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 6 79 0.18011 100 19 95 38 40 +38 6 81 0.83573 87 13 23 69 43 +41 5 80 0.89180 94 12 23 46 43 +57 5 86 0.66755 93 9 24 37 29 +52 5 74 0.98081 71 10 42 49 45 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +53 -K6 -k79 -M0.18011 -Q100 -G19 -D95 -O38 -L40 +38 -K6 -k81 -M0.83573 -Q87 -G13 -D23 -O69 -L43 +41 -K5 -k80 -M0.8918 -Q94 -G12 -D23 -O46 -L43 +57 -K5 -k86 -M0.66755 -Q93 -G9 -D24 -O37 -L29 +52 -K5 -k74 -M0.98081 -Q71 -G10 -D42 -O49 -L45 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 19:29:12 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-16.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-16.txt new file mode 100644 index 000000000..0e714b840 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-16.txt @@ -0,0 +1,254 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 14:15:12 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 106928627 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 14:15:12 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:10:39| NA| NA| NA| +|x| 2| 16| 2| 750.9801685| 32|00:08:45|+0.39|0.70|0.7365| +|x| 3| 16| 11| 667.4227577| 48|00:10:22|+0.52|0.68|0.6602| +|x| 4| 16| 5| 805.6509487| 64|00:08:57|+0.53|0.65|0.6595| +|-| 5| 9| 5| 704.5207590| 80|00:10:39|+0.02|0.22|0.7791| +|=| 6| 9| 2| 670.5828212| 89|00:08:00|+0.07|0.22|0.7397| +|=| 7| 9| 2| 646.2284243| 98|00:07:59|-0.02|0.13|0.7982| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 2 mean value: 646.2284243 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +2 2 6 32 0.10786 94 3 38 72 4 NA + +# 2023-08-16 15:20:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +2 6 32 0.10786 94 3 38 72 4 +5 5 49 0.18615 90 1 72 76 20 +11 6 111 0.65040 98 74 88 74 15 +13 6 108 0.84065 79 55 15 2 62 +3 6 59 0.39660 77 30 87 46 57 +# 2023-08-16 15:20:37 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 98 +# remainingBudget: 402 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 27| 1205.471359| 16|00:13:03| NA| NA| NA| +|x| 6| 16| 24| 860.7335130| 27|00:07:59|+0.21|0.60|1.1811| +|x| 7| 16| 24| 740.4895357| 38|00:07:59|+0.15|0.43|1.0392| +|x| 3| 16| 24| 680.3938793| 49|00:07:59|-0.06|0.20|1.0425| +|=| 1| 16| 24| 604.3151034| 60|00:08:00|-0.05|0.16|0.8130| +|=| 4| 16| 24| 703.7504477| 71|00:07:24|+0.02|0.18|0.7903| +|=| 5| 16| 24| 646.0718123| 82|00:07:59|-0.00|0.14|0.8314| +|=| 2| 16| 24| 715.8324910| 93|00:07:16|+0.04|0.16|0.8085| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 715.8324910 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 5 47 0.1879 90 35 10 40 0 2 + +# 2023-08-16 16:28:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 5 47 0.18790 90 35 10 40 0 +21 5 95 0.33809 94 60 48 77 36 +2 6 32 0.10786 94 3 38 72 4 +26 6 54 0.26752 82 16 62 45 21 +13 6 108 0.84065 79 55 15 2 62 +# 2023-08-16 16:28:20 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 24| 300.0000000| 15|00:13:20| NA| NA| NA| +|x| 2| 15| 2| 750.9801685| 25|00:06:56|-0.14|0.43|1.1486| +|x| 6| 15| 2| 667.3233203| 35|00:07:58|+0.32|0.55|0.7468| +|x| 5| 15| 2| 575.4924902| 45|00:08:00|+0.18|0.38|0.8070| +|=| 8| 15| 37| 701.4010656| 55|00:07:05|+0.12|0.29|0.8744| +|=| 7| 15| 37| 667.8347593| 65|00:07:58|+0.13|0.28|0.8321| +|-| 1| 8| 37| 615.2869366| 75|00:08:00|+0.02|0.16|0.6323| +|=| 3| 8| 37| 600.8760755| 78|00:07:44|+0.07|0.19|0.6356| +|=| 4| 8| 37| 669.8369277| 81|00:06:00|-0.03|0.09|0.7136| +|=| 10| 8| 37| 632.8532349| 89|00:08:00|-0.03|0.08|0.6389| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 632.8532349 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 6 17 0.28759 66 19 22 66 16 2 + +# 2023-08-16 17:49:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 6 17 0.28759 66 19 22 66 16 +24 5 47 0.18790 90 35 10 40 0 +2 6 32 0.10786 94 3 38 72 4 +21 5 95 0.33809 94 60 48 77 36 +35 4 45 0.60434 81 33 28 28 2 +# 2023-08-16 17:49:28 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 280 +# remainingBudget: 220 +# currentBudget: 110 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 38| 500.0241490| 14|00:12:54| NA| NA| NA| +|x| 4| 14| 43| 851.0939335| 23|00:07:02|-0.16|0.42|1.0784| +|x| 9| 14| 43| 667.3959557| 32|00:08:00|-0.15|0.24|1.0175| +|x| 8| 14| 41| 802.8752140| 41|00:06:53|-0.05|0.21|0.9713| +|=| 5| 14| 41| 702.3001712| 50|00:08:00|-0.03|0.17|0.8789| +|=| 10| 14| 41| 635.2501427| 59|00:07:59|+0.00|0.17|0.7834| +|=| 3| 14| 35| 615.5340401| 68|00:07:57|-0.06|0.10|0.8929| +|=| 2| 14| 37| 691.0800699| 77|00:07:06|-0.04|0.09|0.8816| +|=| 7| 14| 37| 669.8493097| 86|00:07:58|-0.02|0.10|0.8809| +|=| 1| 14| 37| 632.8643787| 95|00:08:00|+0.00|0.10|0.8278| +|=| 6| 14| 37| 620.7874274| 104|00:07:57|+0.05|0.13|0.8047| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 620.7874274 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 6 17 0.28759 66 19 22 66 16 2 + +# 2023-08-16 19:19:20 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 6 17 0.28759 66 19 22 66 16 +35 4 45 0.60434 81 33 28 28 2 +21 5 95 0.33809 94 60 48 77 36 +24 5 47 0.18790 90 35 10 40 0 +2 6 32 0.10786 94 3 38 72 4 +# 2023-08-16 19:19:20 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 384 +# remainingBudget: 116 +# currentBudget: 116 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 54| 1204.376817| 14|00:10:53| NA| NA| NA| +|x| 10| 14| 54| 752.1884085| 23|00:07:59|+0.00|0.50|0.4643| +|x| 1| 14| 54| 601.4589390| 32|00:07:59|+0.00|0.33|0.3095| +|x| 3| 14| 49| 577.8862508| 41|00:07:55|+0.02|0.27|0.4526| +|=| 8| 14| 37| 703.4253230| 50|00:06:53|+0.05|0.24|0.5341| +|=| 9| 14| 37| 636.1877692| 59|00:08:00|+0.04|0.20|0.4489| +|=| 7| 14| 37| 616.7328347| 68|00:07:55|+0.03|0.17|0.5212| +|=| 11| 14| 37| 602.1573994| 77|00:07:56|-0.03|0.10|0.6061| +|=| 6| 14| 37| 590.8085677| 86|00:07:55|-0.02|0.10|0.6366| +|=| 2| 14| 37| 651.9308115| 95|00:06:53|+0.02|0.12|0.6455| +|=| 4| 14| 37| 703.7119873| 104|00:06:54|+0.03|0.12|0.6677| +|=| 5| 14| 37| 670.0693217| 113|00:07:59|+0.02|0.11|0.6127| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 670.0693217 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 6 17 0.28759 66 19 22 66 16 2 + +# 2023-08-16 20:54:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 6 17 0.28759 66 19 22 66 16 +49 5 18 0.40480 72 37 40 59 10 +35 4 45 0.60434 81 33 28 28 2 +55 6 47 0.46890 71 23 43 57 21 +24 5 47 0.18790 90 35 10 40 0 +# 2023-08-16 20:54:37 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 186539.3, CPU sys time: 17.878, Wall-clock time: 23964.63 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 6 17 0.28759 66 19 22 66 16 +49 5 18 0.40480 72 37 40 59 10 +35 4 45 0.60434 81 33 28 28 2 +55 6 47 0.46890 71 23 43 57 21 +24 5 47 0.18790 90 35 10 40 0 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +37 -K6 -k17 -M0.28759 -Q66 -G19 -D22 -O66 -L16 +49 -K5 -k18 -M0.4048 -Q72 -G37 -D40 -O59 -L10 +35 -K4 -k45 -M0.60434 -Q81 -G33 -D28 -O28 -L2 +55 -K6 -k47 -M0.4689 -Q71 -G23 -D43 -O57 -L21 +24 -K5 -k47 -M0.1879 -Q90 -G35 -D10 -O40 -L0 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 20:54:37 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-17.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-17.txt new file mode 100644 index 000000000..1f6d6771c --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-17.txt @@ -0,0 +1,250 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 11:43:52 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 7063777 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 11:43:52 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:11:19| NA| NA| NA| +|x| 2| 16| 10| 400.0107435| 32|00:10:58|+0.30|0.65|0.5022| +|x| 3| 16| 16| 670.6780407| 48|00:09:40|+0.30|0.54|0.5014| +|x| 4| 16| 16| 628.0121052| 64|00:10:54|+0.20|0.40|0.7085| +|-| 5| 12| 16| 746.8312114| 80|00:09:39|-0.02|0.18|0.9108| +|=| 6| 12| 10| 670.7411260| 92|00:08:29|+0.03|0.19|0.8398| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 670.7411260 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 6 21 0.92696 99 89 51 46 38 NA + +# 2023-08-16 12:44:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 6 21 0.92696 99 89 51 46 38 +16 4 111 0.44826 22 30 66 100 48 +4 6 8 0.53952 62 8 38 41 19 +8 2 109 0.85412 58 32 60 78 46 +9 5 109 0.24942 58 71 74 53 44 +# 2023-08-16 12:44:55 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 28| 1201.907084| 18|00:12:10| NA| NA| NA| +|x| 1| 18| 28| 750.9535420| 31|00:11:19|+0.00|0.50|0.4722| +|x| 4| 18| 9| 668.3484300| 44|00:11:08|+0.07|0.38|0.5661| +|x| 3| 18| 9| 804.9298950| 57|00:09:48|+0.12|0.34|0.6042| +|=| 6| 18| 9| 703.9439160| 70|00:11:19|+0.09|0.27|0.5042| +|=| 2| 18| 10| 670.5797425| 83|00:11:07|+0.06|0.22|0.6201| +|-| 5| 8| 10| 746.7835784| 96|00:09:37|-0.02|0.12|0.6660| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 746.7835784 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 6 21 0.92696 99 89 51 46 38 NA + +# 2023-08-16 14:01:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 6 21 0.92696 99 89 51 46 38 +4 6 8 0.53952 62 8 38 41 19 +29 6 57 0.47473 77 85 47 63 45 +16 4 111 0.44826 22 30 66 100 48 +9 5 109 0.24942 58 71 74 53 44 +# 2023-08-16 14:01:27 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 10| 300.0000000| 17|00:14:09| NA| NA| NA| +|x| 7| 17| 38| 750.7771830| 29|00:07:11|+0.00|0.50|0.4706| +|x| 4| 17| 38| 667.1917600| 41|00:08:28|+0.27|0.51|0.4839| +|x| 5| 17| 38| 801.7289060| 53|00:07:20|+0.25|0.44|0.5454| +|-| 6| 10| 38| 701.3831248| 65|00:08:30|+0.01|0.21|0.5359| +|=| 2| 10| 10| 667.8559800| 70|00:08:24|+0.03|0.19|0.5600| +|=| 3| 10| 10| 746.7835784| 75|00:06:40|-0.04|0.11|0.6518| +|=| 1| 10| 10| 690.9356311| 80|00:08:30|-0.03|0.10|0.5692| +|=| 9| 10| 10| 669.7240358| 90|00:08:29|-0.02|0.10|0.6106| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 669.7240358 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 6 21 0.92696 99 89 51 46 38 NA + +# 2023-08-16 15:19:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 6 21 0.92696 99 89 51 46 38 +38 6 26 0.33126 77 15 28 79 26 +40 6 24 0.73533 100 88 27 21 18 +29 6 57 0.47473 77 85 47 63 45 +31 6 7 0.41748 87 53 24 17 26 +# 2023-08-16 15:19:14 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 278 +# remainingBudget: 222 +# currentBudget: 111 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 31| 1202.537889| 15|00:13:14| NA| NA| NA| +|x| 6| 15| 31| 751.2689445| 25|00:08:29|+0.00|0.50|0.4667| +|x| 2| 15| 10| 673.5151850| 35|00:08:29|-0.14|0.24|0.7019| +|x| 5| 15| 10| 806.1380373| 45|00:07:45|+0.06|0.29|0.6829| +|=| 8| 15| 10| 704.9104298| 55|00:08:30|+0.04|0.23|0.5497| +|=| 3| 15| 10| 790.8168863| 65|00:07:30|-0.03|0.15|0.6885| +|=| 9| 15| 10| 749.2760844| 75|00:08:30|+0.02|0.16|0.6935| +|=| 4| 15| 10| 718.1252621| 85|00:08:29|+0.03|0.15|0.7058| +|=| 1| 15| 10| 671.6668997| 95|00:08:30|+0.03|0.13|0.6268| +|=| 7| 15| 10| 724.8040390| 105|00:07:44|+0.04|0.13|0.6451| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 724.8040390 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 6 21 0.92696 99 89 51 46 38 NA + +# 2023-08-16 16:46:30 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 6 21 0.92696 99 89 51 46 38 +29 6 57 0.47473 77 85 47 63 45 +38 6 26 0.33126 77 15 28 79 26 +31 6 7 0.41748 87 53 24 17 26 +50 6 44 0.62407 90 79 20 15 8 +# 2023-08-16 16:46:30 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 383 +# remainingBudget: 117 +# currentBudget: 117 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 10| 300.0000000| 15|00:15:34| NA| NA| NA| +|x| 2| 15| 10| 400.0107435| 25|00:08:29|+0.00|0.50|0.4667| +|x| 7| 15| 10| 667.6865933| 35|00:07:44|+0.14|0.43|0.5423| +|x| 10| 15| 10| 805.8959620| 45|00:07:24|+0.10|0.32|0.6311| +|-| 4| 13| 38| 740.8548542| 55|00:08:29|-0.05|0.16|0.7853| +|=| 9| 13| 55| 702.9617608| 63|00:08:27|+0.01|0.17|0.7891| +|=| 3| 13| 55| 777.0299089| 71|00:07:20|-0.02|0.12|0.8349| +|=| 5| 13| 10| 831.0050488| 79|00:07:01|-0.04|0.09|0.8570| +|=| 1| 13| 10| 772.0044878| 87|00:08:30|-0.04|0.08|0.7563| +|=| 8| 13| 10| 724.8040390| 95|00:08:29|-0.03|0.07|0.6768| +|=| 6| 13| 10| 686.1854900| 103|00:08:30|-0.03|0.07|0.6125| +|=| 12| 13| 38| 669.2070214| 116|00:12:31|-0.04|0.04|0.6423| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 38 mean value: 669.2070214 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +38 38 6 26 0.33126 77 15 28 79 26 4 + +# 2023-08-16 18:35:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 6 26 0.33126 77 15 28 79 26 +29 6 57 0.47473 77 85 47 63 45 +52 6 73 0.65801 97 68 23 21 11 +10 6 21 0.92696 99 89 51 46 38 +31 6 7 0.41748 87 53 24 17 26 +# 2023-08-16 18:35:03 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 204772.5, CPU sys time: 26.05, Wall-clock time: 24671.72 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +38 6 26 0.33126 77 15 28 79 26 +29 6 57 0.47473 77 85 47 63 45 +52 6 73 0.65801 97 68 23 21 11 +10 6 21 0.92696 99 89 51 46 38 +31 6 7 0.41748 87 53 24 17 26 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +38 -K6 -k26 -M0.33126 -Q77 -G15 -D28 -O79 -L26 +29 -K6 -k57 -M0.47473 -Q77 -G85 -D47 -O63 -L45 +52 -K6 -k73 -M0.65801 -Q97 -G68 -D23 -O21 -L11 +10 -K6 -k21 -M0.92696 -Q99 -G89 -D51 -O46 -L38 +31 -K6 -k7 -M0.41748 -Q87 -G53 -D24 -O17 -L26 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 18:35:03 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-18.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-18.txt new file mode 100644 index 000000000..4275f87d1 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-18.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 11:48:44 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 826614523 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 11:48:44 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 6| 1206.095618| 16|00:07:21| NA| NA| NA| +|x| 2| 16| 8| 853.1676480| 32|00:08:54|+0.26|0.63|0.6778| +|x| 3| 16| 8| 668.7784320| 48|00:09:00|+0.29|0.53|0.5624| +|x| 4| 16| 8| 576.5838240| 64|00:08:59|+0.37|0.53|0.4468| +|-| 5| 11| 8| 705.7847824| 80|00:07:27|+0.03|0.23|0.5285| +|=| 6| 11| 16| 673.8553677| 91|00:08:47|+0.12|0.27|0.5307| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 673.8553677 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 4 114 0.19631 73 11 81 13 59 NA + +# 2023-08-16 12:39:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 4 114 0.19631 73 11 81 13 59 +8 2 49 0.75798 32 35 35 49 30 +15 2 66 0.76374 52 26 92 9 3 +6 6 76 0.96766 35 18 78 44 53 +12 6 116 0.51174 94 79 85 15 54 +# 2023-08-16 12:39:15 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 6| 500.0153760| 18|00:13:17| NA| NA| NA| +|x| 2| 18| 19| 500.0353005| 31|00:08:55|-0.38|0.31|1.0975| +|x| 4| 18| 19| 433.3568670| 44|00:09:00|-0.05|0.30|0.7828| +|x| 1| 18| 6| 626.5506825| 57|00:07:56|+0.04|0.28|0.8547| +|=| 3| 18| 6| 561.2405460| 70|00:08:59|+0.11|0.29|0.7179| +|-| 5| 16| 16| 673.8489613| 83|00:08:02|-0.09|0.09|0.6877| +|=| 6| 16| 29| 649.0748059| 94|00:08:52|+0.01|0.15|0.7097| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 649.0748059 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 5 107 0.28377 57 30 59 38 54 16 + +# 2023-08-16 13:44:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 5 107 0.28377 57 30 59 38 54 +16 4 114 0.19631 73 11 81 13 59 +21 5 102 0.47451 55 21 42 2 30 +19 3 89 0.35146 79 4 40 5 7 +15 2 66 0.76374 52 26 92 9 3 +# 2023-08-16 13:44:19 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 29| 300.0000000| 17|00:10:30| NA| NA| NA| +|x| 4| 17| 29| 300.0000000| 29|00:07:29|+0.00|0.50|0.4706| +|x| 6| 17| 38| 366.6720073| 41|00:07:20|-0.02|0.32|0.6607| +|x| 5| 17| 29| 580.4102088| 53|00:06:04|-0.03|0.23|0.7776| +|=| 3| 17| 29| 524.3281670| 65|00:07:29|-0.02|0.18|0.6077| +|=| 7| 17| 29| 520.2888470| 77|00:07:20|+0.08|0.23|0.6204| +|-| 2| 13| 29| 517.3913360| 89|00:07:21|-0.07|0.09|0.5710| +|=| 1| 13| 29| 605.4404551| 97|00:05:42|-0.06|0.07|0.6107| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 605.4404551 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 5 107 0.28377 57 30 59 38 54 16 + +# 2023-08-16 14:43:39 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 5 107 0.28377 57 30 59 38 54 +16 4 114 0.19631 73 11 81 13 59 +19 3 89 0.35146 79 4 40 5 7 +38 4 123 0.66414 51 46 34 36 29 +15 2 66 0.76374 52 26 92 9 3 +# 2023-08-16 14:43:39 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 282 +# remainingBudget: 218 +# currentBudget: 109 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 50| 1204.077794| 16|00:11:23| NA| NA| NA| +|x| 4| 16| 50| 752.0388970| 27|00:09:00|-0.06|0.47|0.8647| +|x| 3| 16| 50| 601.3592647| 38|00:09:00|+0.08|0.39|0.5765| +|x| 6| 16| 38| 580.5617790| 49|00:08:51|+0.03|0.27|0.6718| +|=| 7| 16| 19| 564.4669844| 60|00:08:51|+0.00|0.20|0.7207| +|=| 2| 16| 19| 553.7298868| 71|00:08:52|+0.08|0.23|0.6957| +|-| 5| 14| 51| 644.9420649| 82|00:07:37|-0.03|0.12|0.6926| +|=| 1| 14| 51| 716.9724074| 91|00:07:29|-0.04|0.09|0.7425| +|=| 8| 14| 51| 670.6421399| 100|00:09:00|-0.03|0.08|0.6549| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 670.6421399 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 6 89 0.17113 61 45 98 60 54 29 + +# 2023-08-16 16:03:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 6 89 0.17113 61 45 98 60 54 +29 5 107 0.28377 57 30 59 38 54 +38 4 123 0.66414 51 46 34 36 29 +19 3 89 0.35146 79 4 40 5 7 +46 5 97 0.31514 98 44 32 7 49 +# 2023-08-16 16:03:45 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 382 +# remainingBudget: 118 +# currentBudget: 118 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 51| 300.0000000| 16|00:16:30| NA| NA| NA| +|x| 9| 16| 53| 751.4963910| 27|00:08:14|+0.00|0.50|0.4688| +|x| 4| 16| 53| 600.9975940| 38|00:09:00|+0.00|0.33|0.3125| +|x| 3| 16| 53| 525.7481955| 49|00:09:00|+0.00|0.25|0.2344| +|=| 5| 16| 63| 663.0533312| 60|00:08:07|+0.04|0.23|0.3420| +|=| 7| 16| 63| 635.8840830| 71|00:09:00|+0.05|0.21|0.4517| +|=| 2| 16| 63| 616.4830194| 82|00:08:59|+0.00|0.14|0.5464| +|=| 6| 16| 51| 601.8243068| 93|00:09:00|-0.04|0.09|0.6074| +|=| 8| 16| 51| 568.2882727| 104|00:09:00|-0.04|0.08|0.5375| +|=| 1| 16| 51| 633.5779259| 115|00:08:15|-0.02|0.08|0.5754| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 633.5779259 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 6 89 0.17113 61 45 98 60 54 29 + +# 2023-08-16 17:38:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 6 89 0.17113 61 45 98 60 54 +55 6 124 0.24843 63 49 87 64 54 +62 6 93 0.17617 63 44 95 70 47 +29 5 107 0.28377 57 30 59 38 54 +60 6 106 0.90442 41 31 57 49 25 +# 2023-08-16 17:38:54 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 497 +# timeUsed: 0 +# remainingBudget: 3 +# currentBudget: 3 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 175825.3, CPU sys time: 23.116, Wall-clock time: 21010.03 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 6 89 0.17113 61 45 98 60 54 +55 6 124 0.24843 63 49 87 64 54 +62 6 93 0.17617 63 44 95 70 47 +29 5 107 0.28377 57 30 59 38 54 +60 6 106 0.90442 41 31 57 49 25 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +51 -K6 -k89 -M0.17113 -Q61 -G45 -D98 -O60 -L54 +55 -K6 -k124 -M0.24843 -Q63 -G49 -D87 -O64 -L54 +62 -K6 -k93 -M0.17617 -Q63 -G44 -D95 -O70 -L47 +29 -K5 -k107 -M0.28377 -Q57 -G30 -D59 -O38 -L54 +60 -K6 -k106 -M0.90442 -Q41 -G31 -D57 -O49 -L25 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 17:38:54 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-19.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-19.txt new file mode 100644 index 000000000..4372c3552 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-19.txt @@ -0,0 +1,252 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 11:52:25 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 2064514148 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 11:52:25 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 15| 500.0320570| 16|00:10:46| NA| NA| NA| +|x| 2| 16| 15| 853.7277905| 32|00:08:56|+0.70|0.85|0.4606| +|x| 3| 16| 15| 669.1518603| 48|00:11:04|+0.44|0.63|0.6860| +|x| 4| 16| 13| 630.3773550| 64|00:10:45|+0.38|0.54|0.6506| +|-| 5| 8| 13| 564.3018840| 80|00:11:05|-0.02|0.18|0.5421| +|=| 6| 8| 13| 673.8844250| 88|00:07:32|-0.02|0.15|0.6227| +|=| 7| 8| 13| 649.0524741| 96|00:09:15|+0.05|0.18|0.6364| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 649.0524741 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 6 52 0.37767 56 14 67 55 24 NA + +# 2023-08-16 13:01:52 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 6 52 0.37767 56 14 67 55 24 +15 3 29 0.58135 39 82 56 18 4 +8 6 20 0.33306 71 90 33 8 87 +9 4 45 0.14640 58 85 75 92 82 +5 4 4 0.56596 14 69 71 73 9 +# 2023-08-16 13:01:52 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 22| 1202.437212| 17|00:12:05| NA| NA| NA| +|x| 2| 17| 22| 1212.189946| 29|00:07:51|+0.02|0.51|1.1543| +|x| 5| 17| 22| 908.1266303| 41|00:09:30|+0.13|0.42|0.8897| +|x| 3| 17| 22| 756.0949728| 53|00:09:30|+0.20|0.40|0.6973| +|-| 7| 14| 23| 705.3987286| 65|00:09:17|-0.15|0.08|0.6566| +|=| 4| 14| 13| 673.8659790| 74|00:09:18|-0.06|0.12|0.6967| +|=| 6| 14| 13| 752.1418577| 83|00:07:25|-0.04|0.11|0.7256| +|=| 1| 14| 13| 720.6286992| 92|00:09:14|-0.03|0.10|0.7489| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 720.6286992 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 6 52 0.37767 56 14 67 55 24 NA + +# 2023-08-16 14:16:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 6 52 0.37767 56 14 67 55 24 +17 4 26 0.85693 39 78 57 54 20 +21 6 37 0.23447 63 38 54 2 44 +23 4 15 0.60988 88 78 33 19 91 +15 3 29 0.58135 39 82 56 18 4 +# 2023-08-16 14:16:06 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 13| 300.0000000| 16|00:14:14| NA| NA| NA| +|x| 7| 16| 21| 400.0130025| 27|00:09:29|+0.00|0.50|0.4688| +|x| 4| 16| 13| 433.3538513| 38|00:09:27|-0.10|0.26|0.6814| +|x| 8| 16| 21| 626.9723518| 49|00:09:07|-0.06|0.21|0.7320| +|=| 5| 16| 21| 561.5778814| 60|00:09:29|-0.04|0.17|0.5798| +|=| 1| 16| 13| 553.6267365| 71|00:09:28|+0.02|0.19|0.6307| +|=| 3| 16| 13| 517.3943456| 82|00:09:29|+0.02|0.16|0.5398| +|=| 2| 16| 13| 605.4040580| 93|00:09:10|+0.01|0.13|0.5923| +|=| 6| 16| 39| 668.2232198| 104|00:09:13|+0.01|0.12|0.6176| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 668.2232198 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 4 61 0.40376 25 34 56 21 34 13 + +# 2023-08-16 15:45:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 4 61 0.40376 25 34 56 21 34 +13 6 52 0.37767 56 14 67 55 24 +37 5 68 0.17089 74 43 41 39 3 +33 6 16 0.50429 54 13 86 22 53 +32 4 10 0.74597 59 76 76 35 37 +# 2023-08-16 15:45:18 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 292 +# remainingBudget: 208 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 39| 300.0000000| 14|00:15:49| NA| NA| NA| +|x| 1| 14| 37| 400.0095245| 23|00:09:23|+0.00|0.50|0.4643| +|x| 5| 14| 37| 366.6730163| 32|00:09:30|+0.00|0.33|0.3095| +|x| 6| 14| 33| 575.9900448| 41|00:07:25|+0.00|0.25|0.4276| +|=| 2| 14| 39| 701.3618052| 50|00:08:02|+0.04|0.24|0.4939| +|=| 7| 14| 33| 670.9736357| 59|00:09:22|+0.04|0.20|0.5677| +|=| 3| 14| 33| 617.9774020| 68|00:09:30|+0.03|0.17|0.4939| +|=| 8| 14| 39| 689.2425083| 77|00:07:49|+0.06|0.18|0.5349| +|=| 9| 14| 39| 645.9933407| 86|00:09:29|+0.05|0.16|0.4806| +|=| 4| 14| 39| 631.4008978| 95|00:09:22|+0.03|0.12|0.5256| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 631.4008978 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 4 61 0.40376 25 34 56 21 34 13 + +# 2023-08-16 17:21:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 4 61 0.40376 25 34 56 21 34 +13 6 52 0.37767 56 14 67 55 24 +45 4 29 0.31048 40 66 33 5 3 +40 6 82 0.50580 77 33 71 65 24 +37 5 68 0.17089 74 43 41 39 3 +# 2023-08-16 17:21:03 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 40| 500.0227040| 14|00:14:06| NA| NA| NA| +|x| 7| 14| 37| 500.0348565| 23|00:09:26|-0.08|0.46|0.7877| +|x| 3| 14| 37| 433.3565710| 32|00:09:30|-0.04|0.31|0.5721| +|x| 5| 14| 37| 400.0174282| 41|00:09:30|-0.03|0.23|0.4408| +|=| 6| 14| 37| 564.2183312| 50|00:08:14|+0.02|0.21|0.5131| +|=| 8| 14| 37| 673.7914362| 59|00:08:01|+0.04|0.20|0.5847| +|=| 9| 14| 37| 620.3926596| 68|00:09:30|+0.03|0.17|0.5061| +|=| 2| 14| 37| 695.5086609| 77|00:08:01|+0.10|0.21|0.5351| +|-| 1| 10| 37| 673.7875929| 86|00:09:26|-0.04|0.08|0.6453| +|=| 10| 10| 37| 636.4088336| 91|00:09:29|-0.03|0.07|0.5762| +|=| 4| 10| 37| 624.0214366| 96|00:09:21|-0.07|0.03|0.6157| +|=| 12| 10| 37| 672.1919758| 106|00:08:25|-0.05|0.04|0.6333| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 37 mean value: 672.1919758 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +37 37 5 68 0.17089 74 43 41 39 3 13 + +# 2023-08-16 19:14:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 5 68 0.17089 74 43 41 39 3 +54 6 45 0.59765 86 59 56 35 13 +40 6 82 0.50580 77 33 71 65 24 +45 4 29 0.31048 40 66 33 5 3 +56 6 61 0.24439 70 43 59 46 4 +# 2023-08-16 19:14:10 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 185193.8, CPU sys time: 18.201, Wall-clock time: 26504.78 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +37 5 68 0.17089 74 43 41 39 3 +54 6 45 0.59765 86 59 56 35 13 +40 6 82 0.50580 77 33 71 65 24 +45 4 29 0.31048 40 66 33 5 3 +56 6 61 0.24439 70 43 59 46 4 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +37 -K5 -k68 -M0.17089 -Q74 -G43 -D41 -O39 -L3 +54 -K6 -k45 -M0.59765 -Q86 -G59 -D56 -O35 -L13 +40 -K6 -k82 -M0.5058 -Q77 -G33 -D71 -O65 -L24 +45 -K4 -k29 -M0.31048 -Q40 -G66 -D33 -O5 -L3 +56 -K6 -k61 -M0.24439 -Q70 -G43 -D59 -O46 -L4 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 19:14:10 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-2.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-2.txt new file mode 100644 index 000000000..fa281310d --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-2.txt @@ -0,0 +1,257 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-15 11:13:41 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 82111794 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-15 11:13:41 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 4| 300.0000000| 16|00:01:29| NA| NA| NA| +|x| 2| 16| 4| 760.7794800| 32|00:01:01|+0.55|0.78|0.2081| +|x| 3| 16| 8| 674.2589803| 48|00:01:30|+0.30|0.54|0.5646| +|x| 4| 16| 4| 580.5030550| 64|00:01:30|+0.43|0.57|0.4513| +|-| 5| 8| 4| 709.1002904| 80|00:01:05|+0.02|0.22|0.8435| +|=| 6| 8| 4| 674.3140545| 88|00:01:00|+0.12|0.27|0.7660| +|-| 7| 5| 8| 649.4677364| 96|00:00:59|+0.02|0.16|0.7425| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 650.1863693 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 38 0.20465 69 16 7 37 26 NA + +# 2023-08-15 11:22:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 38 0.20465 69 16 7 37 26 +8 2 123 0.51189 83 55 76 42 54 +6 2 81 0.88133 91 32 32 66 60 +4 5 70 0.92085 61 6 59 37 1 +16 2 62 0.47495 53 23 79 61 77 +# 2023-08-15 11:22:19 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 26| 1222.166298| 17|00:01:09| NA| NA| NA| +|x| 2| 17| 12| 1222.042601| 29|00:01:00|+0.70|0.85|0.2289| +|x| 4| 17| 4| 914.6844870| 41|00:01:10|+0.39|0.60|0.2634| +|x| 6| 17| 12| 811.2221677| 53|00:01:09|+0.44|0.58|0.4005| +|-| 3| 9| 12| 748.9893588| 65|00:01:10|+0.02|0.21|0.7894| +|=| 1| 9| 12| 674.3923540| 69|00:00:40|-0.05|0.13|0.9121| +|=| 5| 9| 8| 752.6751684| 73|00:00:26|-0.00|0.14|0.8305| +|=| 7| 9| 12| 721.7335694| 77|00:00:40|+0.04|0.16|0.7970| +|=| 9| 9| 12| 674.9904508| 86|00:01:00|-0.03|0.09|0.8710| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 674.9904508 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 38 0.20465 69 16 7 37 26 NA + +# 2023-08-15 11:30:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 38 0.20465 69 16 7 37 26 +4 5 70 0.92085 61 6 59 37 1 +8 2 123 0.51189 83 55 76 42 54 +6 2 81 0.88133 91 32 32 66 60 +18 3 82 0.45997 84 71 71 38 55 +# 2023-08-15 11:30:46 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 182 +# remainingBudget: 318 +# currentBudget: 106 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 4| 300.0000000| 15|00:01:39| NA| NA| NA| +|x| 8| 15| 31| 761.1441380| 25|00:01:00|+0.25|0.63|0.6452| +|x| 4| 15| 31| 607.4294253| 35|00:01:10|+0.45|0.64|0.4472| +|x| 7| 15| 31| 580.6699415| 45|00:01:09|+0.23|0.42|0.7192| +|=| 5| 15| 4| 709.2891394| 55|00:00:59|+0.17|0.33|0.7892| +|-| 6| 10| 12| 675.1700978| 65|00:01:10|-0.13|0.06|1.0115| +|=| 9| 10| 4| 620.9755103| 70|00:00:59|-0.11|0.05|1.0010| +|=| 2| 10| 12| 696.6984152| 75|00:00:44|-0.09|0.05|0.9850| +|=| 3| 10| 12| 674.8494939| 80|00:01:00|-0.07|0.05|0.9607| +|=| 1| 10| 12| 637.5052775| 85|00:00:59|-0.07|0.04|0.9747| +|=| 11| 10| 4| 689.0957108| 95|00:00:59|-0.06|0.03|0.9648| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 689.0957108 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 5 70 0.92085 61 6 59 37 1 NA + +# 2023-08-15 11:42:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 5 70 0.92085 61 6 59 37 1 +29 5 80 0.55168 79 23 49 15 13 +12 6 38 0.20465 69 16 7 37 26 +31 3 69 0.47626 58 66 62 38 47 +34 3 78 0.86568 64 46 2 69 32 +# 2023-08-15 11:42:41 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 12| 500.1233290| 13|00:01:39| NA| NA| NA| +|x| 7| 13| 44| 500.0795130| 21|00:01:00|-0.11|0.45|1.0637| +|x| 11| 13| 44| 741.3330077| 29|00:00:44|-0.01|0.33|0.9832| +|x| 4| 13| 44| 631.0167958| 37|00:01:00|-0.03|0.23|0.9098| +|=| 3| 13| 44| 604.8570828| 45|00:01:00|-0.08|0.13|1.0094| +|=| 8| 13| 44| 707.9030762| 53|00:00:43|-0.08|0.10|0.9964| +|=| 9| 13| 42| 649.5556284| 61|00:01:00|-0.08|0.08|0.9715| +|=| 10| 13| 42| 605.8611749| 69|00:00:59|-0.05|0.08|0.9181| +|=| 6| 13| 42| 594.1179039| 77|00:00:59|-0.05|0.07|0.9264| +|=| 2| 13| 42| 657.1845176| 85|00:00:41|-0.06|0.05|0.9285| +|=| 1| 13| 42| 624.7131978| 93|00:01:00|-0.04|0.05|0.9246| +|=| 5| 13| 42| 673.4962900| 101|00:00:43|-0.03|0.06|0.9161| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 673.4962900 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +42 42 4 66 0.66902 74 19 75 8 18 4 + +# 2023-08-15 11:54:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +42 4 66 0.66902 74 19 75 8 18 +45 4 101 0.95160 56 15 59 9 29 +4 5 70 0.92085 61 6 59 37 1 +44 5 31 0.59689 74 20 17 24 44 +41 6 97 0.46177 82 45 43 18 41 +# 2023-08-15 11:54:15 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 378 +# remainingBudget: 122 +# currentBudget: 122 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 14| 54| 500.0177440| 14|00:01:40| NA| NA| NA| +|x| 2| 14| 53| 854.2029310| 23|00:00:53|+0.16|0.58|0.6109| +|x| 6| 14| 53| 736.1887007| 32|00:01:09|+0.40|0.60|0.5039| +|x| 8| 14| 52| 861.2002685| 41|00:00:58|+0.19|0.39|0.5080| +|=| 11| 14| 54| 933.9217046| 50|00:00:53|-0.05|0.16|0.8206| +|=| 7| 14| 44| 861.4602973| 59|00:01:10|+0.03|0.19|0.7771| +|=| 5| 14| 44| 911.2679014| 68|00:00:52|+0.10|0.23|0.7620| +|=| 4| 14| 44| 834.8679338| 77|00:01:10|+0.07|0.18|0.7953| +|=| 3| 14| 44| 797.6846334| 86|00:01:09|+0.08|0.18|0.7767| +|=| 1| 14| 51| 748.4119884| 95|00:01:10|+0.07|0.16|0.7798| +|=| 12| 14| 51| 725.8378648| 104|00:01:09|+0.06|0.15|0.8194| +|=| 9| 14| 51| 690.3513761| 113|00:01:09|+0.05|0.13|0.8291| +|-| 10| 10| 51| 660.3243472| 122|00:01:10|-0.05|0.03|0.9034| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 660.3243472 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 5 91 0.45432 62 41 75 7 27 42 + +# 2023-08-15 12:08:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 5 91 0.45432 62 41 75 7 27 +42 4 66 0.66902 74 19 75 8 18 +45 4 101 0.95160 56 15 59 9 29 +53 3 92 0.42208 65 10 74 19 44 +4 5 70 0.92085 61 6 59 37 1 +# 2023-08-15 12:08:54 -03: Stopped because budget is exhausted +# Iteration: 6 +# nbIterations: 5 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 122 +# number of elites: 5 +# nbConfigurations: 14 +# Total CPU user time: 18661.06, CPU sys time: 10.285, Wall-clock time: 3312.967 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 5 91 0.45432 62 41 75 7 27 +42 4 66 0.66902 74 19 75 8 18 +45 4 101 0.95160 56 15 59 9 29 +53 3 92 0.42208 65 10 74 19 44 +4 5 70 0.92085 61 6 59 37 1 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +51 -K5 -k91 -M0.45432 -Q62 -G41 -D75 -O7 -L27 +42 -K4 -k66 -M0.66902 -Q74 -G19 -D75 -O8 -L18 +45 -K4 -k101 -M0.9516 -Q56 -G15 -D59 -O9 -L29 +53 -K3 -k92 -M0.42208 -Q65 -G10 -D74 -O19 -L44 +4 -K5 -k70 -M0.92085 -Q61 -G6 -D59 -O37 -L1 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-15 12:08:54 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-20.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-20.txt new file mode 100644 index 000000000..8e97c009c --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-20.txt @@ -0,0 +1,307 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 12:44:17 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1882410219 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 12:44:17 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:11:39| NA| NA| NA| +|x| 2| 16| 13| 400.0273995| 32|00:11:39|+0.50|0.75|0.9226| +|x| 3| 16| 5| 668.3569493| 48|00:10:58|+0.33|0.55|0.8487| +|x| 4| 16| 5| 576.2677120| 64|00:11:40|+0.43|0.57|0.7168| +|-| 5| 7| 12| 560.6429736| 80|00:11:37|+0.13|0.30|0.6450| +|=| 6| 7| 12| 667.8385787| 87|00:08:54|+0.15|0.29|0.6307| +|=| 7| 7| 12| 746.9360441| 94|00:09:01|+0.05|0.18|0.6868| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 746.9360441 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.13783 69 9 53 5 38 NA + +# 2023-08-16 13:59:48 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.13783 69 9 53 5 38 +13 6 84 0.98074 30 39 79 72 18 +5 6 17 0.43461 80 90 6 25 12 +16 2 110 0.30606 90 47 26 61 88 +4 3 28 0.85819 62 3 88 63 7 +# 2023-08-16 13:59:48 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 12| 500.0157310| 17|00:13:20| NA| NA| NA| +|x| 6| 17| 12| 851.9161675| 29|00:09:03|-0.01|0.49|1.2921| +|x| 2| 17| 12| 734.6416677| 41|00:09:59|+0.21|0.48|0.9683| +|x| 5| 17| 17| 680.4365630| 53|00:09:59|+0.18|0.38|0.8646| +|=| 4| 17| 17| 604.3492504| 65|00:10:01|+0.14|0.31|0.8727| +|-| 1| 10| 17| 553.6243753| 77|00:09:59|+0.04|0.20|0.6157| +|=| 7| 10| 12| 646.4984643| 82|00:08:16|-0.00|0.14|0.6529| +|=| 3| 10| 12| 716.0710050| 87|00:08:25|-0.00|0.12|0.6876| +|=| 9| 10| 12| 669.8408933| 97|00:09:59|+0.00|0.11|0.6835| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 12 mean value: 669.8408933 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.13783 69 9 53 5 38 NA + +# 2023-08-16 15:28:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +12 6 7 0.13783 69 9 53 5 38 +17 6 76 0.59005 87 58 84 16 25 +20 6 36 0.13356 55 32 10 5 40 +13 6 84 0.98074 30 39 79 72 18 +5 6 17 0.43461 80 90 6 25 12 +# 2023-08-16 15:28:54 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 191 +# remainingBudget: 309 +# currentBudget: 103 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 12| 300.0000000| 14|00:14:59| NA| NA| NA| +|x| 1| 14| 12| 300.0000000| 23|00:10:00|+1.00|1.00|0.0000| +|x| 8| 14| 36| 366.6667990| 32|00:10:00|+0.03|0.36|0.6824| +|x| 3| 14| 12| 575.7736302| 41|00:08:58|+0.13|0.35|0.7611| +|=| 9| 14| 12| 520.6189042| 50|00:10:00|+0.17|0.34|0.6383| +|-| 2| 12| 31| 520.1955250| 59|00:09:59|-0.03|0.14|0.4962| +|=| 5| 12| 17| 517.3175123| 66|00:09:59|+0.02|0.16|0.5478| +|=| 6| 12| 12| 600.8809004| 73|00:09:01|+0.04|0.16|0.5667| +|=| 7| 12| 12| 669.8408933| 80|00:08:44|-0.01|0.10|0.6278| +|=| 4| 12| 12| 632.8568040| 87|00:10:00|-0.01|0.09|0.5634| +|=| 11| 12| 36| 688.1714029| 99|00:09:54|-0.03|0.07|0.6120| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 36 mean value: 688.1714029 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +36 36 6 75 0.49074 95 95 67 17 33 17 + +# 2023-08-16 17:20:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +36 6 75 0.49074 95 95 67 17 33 +12 6 7 0.13783 69 9 53 5 38 +17 6 76 0.59005 87 58 84 16 25 +5 6 17 0.43461 80 90 6 25 12 +29 6 34 0.54985 51 45 36 19 37 +# 2023-08-16 17:20:35 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 290 +# remainingBudget: 210 +# currentBudget: 105 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 17| 500.0000530| 13|00:13:10| NA| NA| NA| +|x| 7| 13| 12| 860.7617160| 21|00:08:52|+0.12|0.56|0.8564| +|x| 10| 13| 12| 673.8411440| 29|00:10:00|-0.04|0.31|1.0379| +|x| 8| 13| 12| 630.3847907| 37|00:09:59|+0.18|0.39|0.8363| +|=| 1| 13| 12| 564.3078326| 45|00:10:01|+0.16|0.33|0.7803| +|=| 2| 13| 39| 553.5807245| 53|00:10:00|+0.14|0.28|0.7847| +|-| 4| 11| 39| 517.3549067| 61|00:09:59|+0.12|0.25|0.4701| +|=| 9| 11| 39| 490.1855434| 67|00:09:59|+0.11|0.22|0.4175| +|=| 11| 11| 39| 570.8225951| 73|00:08:30|+0.05|0.15|0.4792| +|=| 3| 11| 39| 635.7713287| 79|00:08:20|+0.01|0.11|0.5578| +|=| 5| 11| 39| 623.4336225| 85|00:10:00|+0.01|0.10|0.5878| +|=| 6| 11| 39| 671.6235823| 91|00:08:38|+0.04|0.12|0.6084| +|=| 13| 11| 39| 643.0371529| 102|00:10:00|+0.04|0.11|0.5614| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 643.0371529 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 6 81 0.67962 65 61 52 12 18 17 + +# 2023-08-16 19:28:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 6 81 0.67962 65 61 52 12 18 +43 6 85 0.64261 97 89 23 42 10 +12 6 7 0.13783 69 9 53 5 38 +36 6 75 0.49074 95 95 67 17 33 +17 6 76 0.59005 87 58 84 16 25 +# 2023-08-16 19:28:11 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 392 +# remainingBudget: 108 +# currentBudget: 108 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 12| 39| 500.0189190| 12|00:10:01| NA| NA| NA| +|x| 2| 12| 39| 500.0099850| 19|00:10:00|+0.57|0.78|0.2395| +|x| 11| 12| 50| 733.7870187| 26|00:08:35|+0.44|0.63|0.4754| +|x| 8| 12| 39| 678.9895612| 33|00:10:00|+0.35|0.52|0.5784| +|-| 6| 8| 50| 780.4209652| 40|00:09:30|+0.06|0.25|0.9136| +|=| 12| 8| 39| 736.2820043| 43|00:09:59|-0.02|0.15|0.9603| +|=| 9| 8| 39| 673.9560037| 46|00:10:00|+0.01|0.15|0.9222| +|=| 5| 8| 39| 652.2185734| 49|00:09:59|-0.00|0.12|0.9162| +|=| 7| 8| 39| 715.4657751| 52|00:08:02|+0.01|0.12|0.9158| +|=| 1| 8| 39| 673.9191976| 55|00:10:00|+0.01|0.11|0.8201| +|=| 3| 8| 39| 723.5910825| 58|00:08:35|+0.04|0.13|0.8183| +|=| 4| 8| 39| 688.2918256| 61|00:10:00|+0.04|0.12|0.7482| +|=| 13| 8| 39| 658.4232236| 64|00:09:59|+0.03|0.11|0.6892| +|=| 10| 8| 39| 632.8215648| 67|00:10:00|+0.03|0.10|0.6388| +|=| 15| 8| 39| 670.7596439| 75|00:09:29|+0.03|0.10|0.6552| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 670.7596439 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 6 81 0.67962 65 61 52 12 18 17 + +# 2023-08-16 21:52:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 6 81 0.67962 65 61 52 12 18 +50 6 56 0.86889 72 60 55 22 7 +43 6 85 0.64261 97 89 23 42 10 +12 6 7 0.13783 69 9 53 5 38 +17 6 76 0.59005 87 58 84 16 25 +# 2023-08-16 21:52:26 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 467 +# remainingBudget: 33 +# currentBudget: 33 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 16| 6| 39| 300.0000000| 6|00:10:00| NA| NA| NA| +|x| 12| 6| 17| 400.0000265| 7|00:09:16|+0.00|0.50|0.4167| +|x| 11| 6| 39| 671.9798833| 8|00:05:27|-0.07|0.29|0.6414| +|x| 8| 6| 12| 630.1321380| 9|00:09:07|-0.22|0.08|0.7869| +|=| 15| 6| 39| 743.5703334| 10|00:05:27|-0.07|0.14|0.7263| +|=| 3| 6| 39| 823.0269330| 11|00:05:29|-0.10|0.09|0.7752| +|=| 9| 6| 39| 748.3087997| 12|00:09:59|-0.08|0.07|0.6529| +|=| 4| 6| 39| 692.2701997| 13|00:10:00|-0.07|0.07|0.5641| +|=| 13| 6| 39| 648.6846220| 14|00:09:59|-0.06|0.06|0.4966| +|=| 7| 6| 39| 705.9604987| 15|00:05:34|-0.06|0.04|0.5352| +|=| 2| 6| 39| 687.2369125| 16|00:09:08|-0.04|0.05|0.5637| +|=| 10| 6| 39| 654.9671698| 17|00:09:59|-0.04|0.05|0.5140| +|=| 1| 6| 39| 627.6620029| 18|00:09:59|-0.03|0.04|0.4723| +|=| 14| 6| 39| 618.5446398| 19|00:09:07|-0.01|0.06|0.4914| +|=| 5| 6| 39| 610.6454345| 20|00:09:07|-0.02|0.04|0.5181| +|=| 6| 6| 39| 647.5871661| 21|00:05:40|-0.02|0.04|0.5440| +|=| 17| 6| 39| 638.9068413| 27|00:10:00|-0.00|0.05|0.5498| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 638.9068413 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 6 81 0.67962 65 61 52 12 18 17 + +# 2023-08-17 00:15:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 6 81 0.67962 65 61 52 12 18 +50 6 56 0.86889 72 60 55 22 7 +17 6 76 0.59005 87 58 84 16 25 +12 6 7 0.13783 69 9 53 5 38 +43 6 85 0.64261 97 89 23 42 10 +# 2023-08-17 00:15:56 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 229672.2, CPU sys time: 20.917, Wall-clock time: 41498.93 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 6 81 0.67962 65 61 52 12 18 +50 6 56 0.86889 72 60 55 22 7 +17 6 76 0.59005 87 58 84 16 25 +12 6 7 0.13783 69 9 53 5 38 +43 6 85 0.64261 97 89 23 42 10 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +39 -K6 -k81 -M0.67962 -Q65 -G61 -D52 -O12 -L18 +50 -K6 -k56 -M0.86889 -Q72 -G60 -D55 -O22 -L7 +17 -K6 -k76 -M0.59005 -Q87 -G58 -D84 -O16 -L25 +12 -K6 -k7 -M0.13783 -Q69 -G9 -D53 -O5 -L38 +43 -K6 -k85 -M0.64261 -Q97 -G89 -D23 -O42 -L10 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-17 00:15:56 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-21.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-21.txt new file mode 100644 index 000000000..d6f19e69b --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-21.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 12:48:35 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1559654567 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 12:48:35 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 12| 500.0676570| 16|00:12:01| NA| NA| NA| +|x| 2| 16| 16| 851.4090290| 32|00:10:41|+0.45|0.73|0.5662| +|x| 3| 16| 16| 667.6060193| 48|00:12:16|+0.23|0.49|0.8471| +|x| 4| 16| 16| 575.7045145| 64|00:12:16|+0.28|0.46|0.7375| +|-| 5| 7| 16| 701.8456358| 80|00:10:27|-0.01|0.20|0.5587| +|=| 6| 7| 16| 668.2155083| 87|00:10:22|+0.06|0.22|0.5872| +|=| 7| 7| 16| 615.6132929| 94|00:10:30|+0.05|0.19|0.5011| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 615.6132929 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +16 16 5 99 0.7134 100 86 76 33 90 NA + +# 2023-08-16 14:07:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +16 5 99 0.71340 100 86 76 33 90 +5 6 7 0.79831 78 73 77 2 31 +12 4 28 0.31347 98 25 86 93 20 +6 4 19 0.71282 96 90 28 82 13 +8 3 11 0.10213 69 46 52 11 100 +# 2023-08-16 14:07:10 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 23| 1206.101058| 17|00:09:53| NA| NA| NA| +|x| 5| 17| 8| 1204.233424| 29|00:07:48|+0.16|0.58|0.7828| +|x| 1| 17| 17| 976.0772600| 41|00:08:43|-0.06|0.30|0.9668| +|x| 7| 17| 17| 807.0579450| 53|00:08:45|+0.02|0.27|1.0229| +|=| 3| 17| 17| 705.6463560| 65|00:08:45|+0.12|0.29|0.9326| +|-| 6| 12| 17| 671.3756643| 77|00:08:41|-0.10|0.08|0.9980| +|=| 2| 12| 26| 747.6585637| 84|00:07:42|-0.01|0.13|0.9425| +|=| 4| 12| 26| 691.7012433| 91|00:08:45|+0.00|0.13|0.8900| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 691.7012433 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 4 34 0.54991 92 56 28 53 93 8 + +# 2023-08-16 15:16:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 4 34 0.54991 92 56 28 53 93 +17 5 58 0.62157 83 78 85 38 75 +5 6 7 0.79831 78 73 77 2 31 +16 5 99 0.71340 100 86 76 33 90 +8 3 11 0.10213 69 46 52 11 100 +# 2023-08-16 15:16:15 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 35| 500.0170880| 16|00:17:00| NA| NA| NA| +|x| 3| 16| 35| 400.0085440| 27|00:10:29|+0.10|0.55|0.3907| +|x| 7| 16| 35| 366.6723627| 38|00:10:30|+0.28|0.52|0.2551| +|x| 8| 16| 26| 580.1806050| 49|00:09:31|+0.09|0.32|0.5834| +|=| 5| 16| 30| 704.8175146| 60|00:09:32|+0.05|0.24|0.7448| +|=| 4| 16| 30| 637.3479288| 71|00:10:29|+0.09|0.24|0.7671| +|=| 1| 16| 30| 617.7386934| 82|00:10:27|+0.01|0.15|0.8635| +|=| 2| 16| 30| 691.3129796| 93|00:09:32|-0.00|0.12|0.9141| +|=| 6| 16| 30| 670.0581831| 104|00:10:26|+0.01|0.12|0.9260| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 670.0581831 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 6 55 0.75133 90 98 100 19 57 17 + +# 2023-08-16 16:54:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 6 55 0.75133 90 98 100 19 57 +26 4 34 0.54991 92 56 28 53 93 +31 5 51 0.45454 31 8 83 75 85 +35 6 33 0.19016 84 71 68 49 45 +39 6 85 0.38790 77 13 31 41 78 +# 2023-08-16 16:54:14 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 289 +# remainingBudget: 211 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 39| 500.0001840| 15|00:17:08| NA| NA| NA| +|x| 6| 15| 39| 500.0223880| 25|00:10:25|+0.20|0.60|0.8537| +|x| 5| 15| 30| 734.4203987| 35|00:09:19|+0.17|0.45|0.8436| +|x| 8| 15| 46| 852.4415360| 45|00:09:24|+0.05|0.29|1.0074| +|=| 1| 15| 46| 781.9612634| 55|00:10:26|+0.06|0.25|0.9642| +|=| 7| 15| 39| 707.0806100| 65|00:10:29|+0.01|0.17|1.0316| +|=| 3| 15| 39| 648.9262371| 75|00:10:30|-0.02|0.13|1.0146| +|=| 9| 15| 30| 628.0327163| 85|00:10:27|+0.06|0.17|0.9614| +|=| 2| 15| 30| 692.2883014| 95|00:09:26|+0.08|0.18|0.9454| +|=| 4| 15| 30| 653.0594713| 105|00:10:30|+0.06|0.15|0.9369| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 30 mean value: 653.0594713 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +30 30 6 55 0.75133 90 98 100 19 57 17 + +# 2023-08-16 18:42:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +30 6 55 0.75133 90 98 100 19 57 +41 5 53 0.40281 91 72 79 76 56 +39 6 85 0.38790 77 13 31 41 78 +35 6 33 0.19016 84 71 68 49 45 +26 4 34 0.54991 92 56 28 53 93 +# 2023-08-16 18:42:23 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 394 +# remainingBudget: 106 +# currentBudget: 106 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 30| 300.0000000| 14|00:17:29| NA| NA| NA| +|x| 8| 14| 57| 750.6773630| 23|00:09:41|+0.00|0.50|0.4643| +|x| 6| 14| 51| 667.8274247| 32|00:10:29|+0.21|0.47|0.5162| +|x| 3| 14| 51| 575.8705685| 41|00:10:30|+0.14|0.35|0.4129| +|=| 10| 14| 51| 560.6965096| 50|00:10:29|+0.12|0.30|0.4555| +|=| 7| 14| 51| 517.2470913| 59|00:10:30|+0.10|0.25|0.3965| +|=| 2| 14| 51| 617.8031746| 68|00:09:25|+0.06|0.20|0.4798| +|=| 4| 14| 51| 578.0777777| 77|00:10:30|+0.06|0.17|0.4262| +|=| 1| 14| 51| 569.4109629| 86|00:10:29|+0.01|0.12|0.5100| +|=| 5| 14| 51| 633.4263123| 95|00:09:26|+0.03|0.13|0.5347| +|=| 9| 14| 51| 621.2968161| 104|00:10:29|+0.01|0.10|0.5640| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 621.2968161 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 6 54 0.63932 95 92 81 14 34 30 + +# 2023-08-16 20:41:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 6 54 0.63932 95 92 81 14 34 +58 5 76 0.57933 98 58 100 12 49 +57 6 33 0.16956 75 48 39 24 58 +30 6 55 0.75133 90 98 100 19 57 +39 6 85 0.38790 77 13 31 41 78 +# 2023-08-16 20:41:56 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 498 +# timeUsed: 0 +# remainingBudget: 2 +# currentBudget: 2 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 230028.1, CPU sys time: 30.08, Wall-clock time: 28400.86 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 6 54 0.63932 95 92 81 14 34 +58 5 76 0.57933 98 58 100 12 49 +57 6 33 0.16956 75 48 39 24 58 +30 6 55 0.75133 90 98 100 19 57 +39 6 85 0.38790 77 13 31 41 78 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +51 -K6 -k54 -M0.63932 -Q95 -G92 -D81 -O14 -L34 +58 -K5 -k76 -M0.57933 -Q98 -G58 -D100 -O12 -L49 +57 -K6 -k33 -M0.16956 -Q75 -G48 -D39 -O24 -L58 +30 -K6 -k55 -M0.75133 -Q90 -G98 -D100 -O19 -L57 +39 -K6 -k85 -M0.3879 -Q77 -G13 -D31 -O41 -L78 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 20:41:56 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-22.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-22.txt new file mode 100644 index 000000000..e8f09a0e3 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-22.txt @@ -0,0 +1,246 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 12:33:19 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 219237304 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 12:33:19 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:16:30| NA| NA| NA| +|x| 2| 16| 16| 750.7618250| 32|00:14:37|-0.17|0.42|1.0314| +|x| 3| 16| 15| 668.4366050| 48|00:16:27|+0.02|0.35|0.8545| +|x| 4| 16| 14| 630.1901630| 64|00:16:28|+0.16|0.37|0.6925| +|-| 5| 12| 14| 564.1521304| 80|00:16:31|-0.06|0.16|0.5724| +|=| 6| 12| 13| 673.9751948| 92|00:10:26|-0.00|0.16|0.6040| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 673.9751948 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 6 53 0.29301 71 33 37 70 35 NA + +# 2023-08-16 14:04:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 6 53 0.29301 71 33 37 70 35 +15 4 48 0.27857 50 83 62 8 15 +16 6 12 0.72904 89 3 35 46 28 +14 6 84 0.20433 99 10 35 29 98 +1 6 42 0.90476 53 10 92 97 29 +# 2023-08-16 14:04:22 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 13| 300.0000000| 18|00:20:10| NA| NA| NA| +|x| 5| 18| 13| 300.0000000| 31|00:12:50|+0.72|0.86|0.5607| +|x| 1| 18| 13| 300.0000000| 44|00:12:50|+0.81|0.87|0.3738| +|x| 6| 18| 17| 529.0177002| 57|00:11:17|+0.27|0.45|0.6012| +|=| 2| 18| 16| 664.5210762| 70|00:11:06|+0.14|0.31|0.7515| +|-| 3| 16| 16| 637.1164897| 83|00:12:50|-0.08|0.10|0.6794| +|=| 4| 16| 26| 620.2660220| 94|00:11:00|+0.03|0.17|0.6865| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 620.2660220 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 5 86 0.48711 67 26 39 59 48 16 + +# 2023-08-16 15:36:28 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 5 86 0.48711 67 26 39 59 48 +18 6 117 0.41048 96 59 79 76 90 +13 6 53 0.29301 71 33 37 70 35 +14 6 84 0.20433 99 10 35 29 98 +15 4 48 0.27857 50 83 62 8 15 +# 2023-08-16 15:36:28 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 186 +# remainingBudget: 314 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 33| 1203.180399| 17|00:19:00| NA| NA| NA| +|x| 4| 17| 26| 852.8188805| 29|00:11:02|+0.29|0.65|0.7389| +|x| 2| 17| 26| 975.4604310| 41|00:10:41|+0.15|0.43|0.8806| +|x| 1| 17| 26| 806.5953232| 53|00:11:04|+0.10|0.32|0.8799| +|=| 3| 17| 18| 745.0179738| 65|00:11:02|+0.14|0.31|0.8482| +|=| 7| 17| 18| 670.8483115| 77|00:11:05|+0.12|0.27|0.8078| +|=| 6| 17| 39| 745.8780369| 89|00:10:46|+0.08|0.21|0.8786| +|=| 5| 17| 39| 690.1432822| 101|00:11:05|+0.08|0.19|0.8319| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 39 mean value: 690.1432822 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +39 39 6 75 0.1489 81 74 54 80 28 13 + +# 2023-08-16 17:12:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +39 6 75 0.14890 81 74 54 80 28 +18 6 117 0.41048 96 59 79 76 90 +26 5 86 0.48711 67 26 39 59 48 +14 6 84 0.20433 99 10 35 29 98 +13 6 53 0.29301 71 33 37 70 35 +# 2023-08-16 17:12:17 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 287 +# remainingBudget: 213 +# currentBudget: 106 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 46| 500.0174360| 16|00:18:23| NA| NA| NA| +|x| 6| 16| 44| 851.6342670| 27|00:10:41|-0.43|0.29|1.3417| +|x| 3| 16| 44| 734.4228463| 38|00:11:03|-0.04|0.30|1.0271| +|x| 4| 16| 44| 675.8310313| 49|00:11:02|-0.04|0.22|1.0225| +|=| 2| 16| 44| 784.9832322| 60|00:10:44|-0.07|0.14|1.0316| +|=| 7| 16| 44| 704.1526935| 71|00:11:05|-0.06|0.12|0.8440| +|=| 5| 16| 44| 646.4165944| 82|00:11:04|-0.05|0.10|0.7145| +|=| 8| 16| 18| 718.2422026| 93|00:10:46|+0.00|0.13|0.7241| +|=| 1| 16| 18| 671.7708468| 104|00:11:03|+0.00|0.11|0.6413| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 671.7708468 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +18 18 6 117 0.41048 96 59 79 76 90 14 + +# 2023-08-16 18:58:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +18 6 117 0.41048 96 59 79 76 90 +44 6 81 0.44307 68 11 19 16 38 +14 6 84 0.20433 99 10 35 29 98 +43 6 102 0.36962 82 73 71 74 14 +26 5 86 0.48711 67 26 39 59 48 +# 2023-08-16 18:58:11 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 391 +# remainingBudget: 109 +# currentBudget: 109 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 44| 1201.827235| 15|00:18:57| NA| NA| NA| +|x| 7| 15| 44| 750.9136175| 25|00:11:04|+0.00|0.50|0.4667| +|x| 6| 15| 44| 901.6812133| 35|00:10:35|+0.18|0.45|0.4426| +|x| 2| 15| 43| 979.6987205| 45|00:10:37|-0.00|0.25|0.5790| +|=| 5| 15| 43| 843.7589764| 55|00:11:03|-0.00|0.20|0.4874| +|=| 4| 15| 57| 787.8185908| 65|00:11:02|-0.06|0.12|0.6181| +|=| 9| 15| 55| 747.0720506| 75|00:11:02|-0.07|0.08|0.7077| +|=| 8| 15| 53| 806.4213073| 85|00:10:34|-0.05|0.08|0.7374| +|=| 1| 15| 53| 750.1522731| 95|00:11:05|-0.04|0.07|0.6513| +|=| 3| 15| 53| 725.1424748| 105|00:11:02|-0.02|0.08|0.6786| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 53 mean value: 725.1424748 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +53 53 5 78 0.55719 89 19 33 33 63 44 + +# 2023-08-16 20:55:18 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 5 78 0.55719 89 19 33 33 63 +44 6 81 0.44307 68 11 19 16 38 +60 5 88 0.44250 74 14 14 24 40 +18 6 117 0.41048 96 59 79 76 90 +43 6 102 0.36962 82 73 71 74 14 +# 2023-08-16 20:55:18 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 269866.1, CPU sys time: 38.893, Wall-clock time: 30119.31 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +53 5 78 0.55719 89 19 33 33 63 +44 6 81 0.44307 68 11 19 16 38 +60 5 88 0.44250 74 14 14 24 40 +18 6 117 0.41048 96 59 79 76 90 +43 6 102 0.36962 82 73 71 74 14 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +53 -K5 -k78 -M0.55719 -Q89 -G19 -D33 -O33 -L63 +44 -K6 -k81 -M0.44307 -Q68 -G11 -D19 -O16 -L38 +60 -K5 -k88 -M0.4425 -Q74 -G14 -D14 -O24 -L40 +18 -K6 -k117 -M0.41048 -Q96 -G59 -D79 -O76 -L90 +43 -K6 -k102 -M0.36962 -Q82 -G73 -D71 -O74 -L14 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 20:55:18 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-23.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-23.txt new file mode 100644 index 000000000..4d967bdd9 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-23.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 13:22:32 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 632337073 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 13:22:32 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 5| 500.0091870| 16|00:15:14| NA| NA| NA| +|x| 2| 16| 5| 400.0045935| 32|00:15:19|-0.19|0.41|1.2957| +|x| 3| 16| 5| 668.8076220| 48|00:13:49|-0.02|0.32|1.0211| +|x| 4| 16| 5| 801.8493345| 64|00:13:51|+0.02|0.26|0.8784| +|=| 5| 16| 5| 701.4794676| 80|00:15:20|+0.06|0.25|0.8532| +|=| 6| 16| 5| 667.9032073| 96|00:15:14|+0.12|0.27|0.7957| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 667.9032073 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 6 20 0.75769 88 9 59 23 17 NA + +# 2023-08-16 14:51:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 6 20 0.75769 88 9 59 23 17 +13 3 84 0.60934 84 0 56 18 46 +4 3 80 0.49296 40 52 95 6 50 +6 4 87 0.33154 46 7 28 65 30 +9 6 107 0.20768 27 32 91 69 12 +# 2023-08-16 14:51:22 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 5| 300.0000000| 18|00:17:14| NA| NA| NA| +|x| 3| 18| 5| 753.2068395| 31|00:10:28|+0.29|0.65|0.8802| +|x| 2| 18| 5| 602.1378930| 44|00:11:30|+0.45|0.64|0.5866| +|x| 6| 18| 5| 576.6088963| 57|00:11:25|+0.41|0.55|0.4741| +|-| 5| 13| 5| 521.2871170| 70|00:11:30|+0.01|0.21|0.3326| +|=| 4| 13| 5| 634.5683428| 78|00:08:24|+0.03|0.19|0.3736| +|=| 1| 13| 5| 615.3456063| 86|00:11:17|+0.06|0.20|0.4703| +|-| 8| 6| 5| 600.9282695| 99|00:15:13|+0.10|0.21|0.4198| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 600.9282695 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 6 20 0.75769 88 9 59 23 17 NA + +# 2023-08-16 16:28:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 6 20 0.75769 88 9 59 23 17 +17 6 36 0.50005 84 10 42 3 39 +29 5 60 0.73726 57 35 84 79 21 +25 5 12 0.87288 68 4 34 68 16 +18 3 35 0.53072 80 13 23 58 15 +# 2023-08-16 16:28:27 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 195 +# remainingBudget: 305 +# currentBudget: 101 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 39| 1208.054409| 15|00:14:42| NA| NA| NA| +|x| 4| 15| 5| 1211.150085| 25|00:10:47|+0.19|0.59|1.0975| +|x| 2| 15| 5| 907.4333900| 35|00:11:31|+0.09|0.40|0.6769| +|x| 3| 15| 5| 982.1784623| 45|00:10:17|+0.05|0.29|0.7338| +|=| 5| 15| 5| 845.7427698| 55|00:11:31|+0.04|0.23|0.5803| +|=| 7| 15| 5| 754.7856415| 65|00:11:30|+0.03|0.19|0.4802| +|=| 1| 15| 5| 718.3890051| 75|00:11:30|+0.08|0.21|0.5469| +|-| 6| 9| 5| 691.0931178| 85|00:11:30|+0.07|0.18|0.5488| +|=| 8| 9| 5| 669.8613171| 89|00:11:30|+0.03|0.14|0.5675| +|=| 10| 9| 5| 632.8751854| 98|00:11:29|+0.03|0.13|0.5132| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 632.8751854 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 6 20 0.75769 88 9 59 23 17 NA + +# 2023-08-16 18:24:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 6 20 0.75769 88 9 59 23 17 +35 6 66 0.13952 94 27 37 2 20 +17 6 36 0.50005 84 10 42 3 39 +34 6 57 0.56115 74 71 52 6 49 +37 6 30 0.79919 85 0 27 26 21 +# 2023-08-16 18:24:50 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 293 +# remainingBudget: 207 +# currentBudget: 103 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 13| 42| 1202.355573| 13|00:15:28| NA| NA| NA| +|x| 2| 13| 42| 751.1777865| 21|00:11:29|+0.00|0.50|0.4615| +|x| 6| 13| 35| 668.2661140| 29|00:11:30|+0.03|0.35|0.6364| +|x| 4| 13| 42| 801.8862297| 37|00:09:53|+0.10|0.33|0.6591| +|=| 10| 13| 42| 701.5089838| 45|00:11:30|+0.08|0.26|0.5339| +|=| 9| 13| 42| 788.0932457| 53|00:09:45|+0.14|0.28|0.5744| +|=| 5| 13| 42| 718.3656391| 61|00:11:30|+0.12|0.24|0.4982| +|-| 3| 9| 42| 778.8655966| 69|00:09:36|+0.06|0.18|0.5176| +|=| 7| 9| 42| 725.6583081| 73|00:11:30|+0.05|0.16|0.4643| +|=| 8| 9| 42| 703.0955024| 77|00:11:29|-0.01|0.09|0.5349| +|=| 1| 9| 42| 684.6332082| 81|00:11:29|+0.00|0.09|0.5712| +|=| 12| 9| 35| 672.1882787| 90|00:11:30|-0.01|0.08|0.6052| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 35 mean value: 672.1882787 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +35 35 6 66 0.13952 94 27 37 2 20 17 + +# 2023-08-16 20:41:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +35 6 66 0.13952 94 27 37 2 20 +42 5 21 0.52797 71 11 29 24 38 +43 6 25 0.45516 78 5 37 10 26 +5 6 20 0.75769 88 9 59 23 17 +41 6 18 0.19619 98 64 44 25 45 +# 2023-08-16 20:41:35 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 383 +# remainingBudget: 117 +# currentBudget: 117 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 41| 500.0118110| 13|00:18:33| NA| NA| NA| +|x| 6| 13| 35| 500.0114445| 21|00:11:30|+0.41|0.70|0.7049| +|x| 2| 13| 35| 433.3409630| 29|00:11:30|+0.20|0.47|0.5427| +|x| 7| 13| 35| 400.0057222| 37|00:11:30|+0.14|0.35|0.4252| +|=| 4| 13| 41| 560.4749662| 45|00:09:47|+0.07|0.26|0.5667| +|=| 11| 13| 54| 667.4516220| 53|00:09:39|+0.03|0.19|0.6395| +|=| 8| 13| 50| 644.0350329| 61|00:11:30|+0.01|0.15|0.6791| +|=| 3| 13| 50| 713.6778963| 69|00:09:28|+0.06|0.18|0.6716| +|=| 12| 13| 50| 689.9406154| 77|00:11:29|+0.05|0.15|0.6652| +|=| 10| 13| 50| 650.9465539| 85|00:11:30|+0.04|0.14|0.6040| +|=| 9| 13| 41| 702.0761042| 93|00:09:44|+0.06|0.15|0.6202| +|-| 1| 10| 41| 685.2406788| 101|00:11:29|-0.04|0.05|0.6919| +|=| 5| 10| 41| 655.6067805| 106|00:11:30|-0.03|0.05|0.6374| +|=| 14| 10| 43| 699.0655428| 116|00:10:22|-0.02|0.05|0.6529| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 43 mean value: 699.0655428 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +43 43 6 25 0.45516 78 5 37 10 26 17 + +# 2023-08-16 23:21:11 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 6 25 0.45516 78 5 37 10 26 +54 6 10 0.82164 59 20 9 13 22 +5 6 20 0.75769 88 9 59 23 17 +41 6 18 0.19619 98 64 44 25 45 +35 6 66 0.13952 94 27 37 2 20 +# 2023-08-16 23:21:11 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 257011.3, CPU sys time: 26.385, Wall-clock time: 35918.15 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +43 6 25 0.45516 78 5 37 10 26 +54 6 10 0.82164 59 20 9 13 22 +5 6 20 0.75769 88 9 59 23 17 +41 6 18 0.19619 98 64 44 25 45 +35 6 66 0.13952 94 27 37 2 20 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +43 -K6 -k25 -M0.45516 -Q78 -G5 -D37 -O10 -L26 +54 -K6 -k10 -M0.82164 -Q59 -G20 -D9 -O13 -L22 +5 -K6 -k20 -M0.75769 -Q88 -G9 -D59 -O23 -L17 +41 -K6 -k18 -M0.19619 -Q98 -G64 -D44 -O25 -L45 +35 -K6 -k66 -M0.13952 -Q94 -G27 -D37 -O2 -L20 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 23:21:11 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-24.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-24.txt new file mode 100644 index 000000000..c2f4cafee --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-24.txt @@ -0,0 +1,293 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 12:29:34 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1092120407 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 12:29:34 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 300.0000000| 16|00:11:59| NA| NA| NA| +|x| 2| 16| 13| 400.0241405| 32|00:11:59|-0.04|0.48|0.7824| +|x| 3| 16| 5| 667.1630457| 48|00:11:02|+0.24|0.50|0.6383| +|x| 4| 16| 13| 630.2669877| 64|00:11:59|+0.27|0.45|0.6384| +|-| 5| 11| 13| 564.2135902| 80|00:12:01|-0.12|0.10|0.9805| +|=| 6| 11| 5| 667.6886478| 91|00:10:57|+0.02|0.18|0.8833| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 5 mean value: 667.6886478 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +5 5 4 70 0.72873 46 40 16 32 30 NA + +# 2023-08-16 13:39:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +5 4 70 0.72873 46 40 16 32 30 +13 4 59 0.41704 75 74 75 29 34 +2 4 16 0.33862 78 86 92 6 6 +14 3 26 0.69978 85 1 6 33 56 +10 3 3 0.30703 56 82 27 26 95 +# 2023-08-16 13:39:34 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 91 +# remainingBudget: 409 +# currentBudget: 102 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 28| 500.0054710| 18|00:17:59| NA| NA| NA| +|x| 3| 18| 21| 852.9122515| 31|00:10:59|+0.23|0.61|0.7059| +|x| 1| 18| 21| 668.6081677| 44|00:12:00|+0.09|0.40|0.8614| +|x| 6| 18| 21| 803.5982860| 57|00:10:54|+0.15|0.36|0.7816| +|=| 2| 18| 21| 742.8876432| 70|00:12:00|+0.14|0.31|0.8246| +|-| 4| 9| 21| 702.4125547| 83|00:11:59|-0.02|0.15|0.8977| +|=| 5| 9| 21| 644.9250469| 87|00:11:59|-0.02|0.13|0.7682| +|=| 8| 9| 21| 716.8385718| 96|00:10:26|-0.06|0.07|0.8255| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 716.8385718 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 5 85 0.70461 21 25 20 66 12 5 + +# 2023-08-16 15:17:56 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 85 0.70461 21 25 20 66 12 +13 4 59 0.41704 75 74 75 29 34 +26 4 41 0.51793 46 84 92 2 53 +28 6 10 0.62281 73 15 13 64 53 +14 3 26 0.69978 85 1 6 33 56 +# 2023-08-16 15:17:56 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 187 +# remainingBudget: 313 +# currentBudget: 104 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 21| 300.0000000| 16|00:14:00| NA| NA| NA| +|x| 7| 16| 28| 400.0027355| 27|00:11:59|+0.19|0.59|0.7983| +|x| 8| 16| 39| 668.4600710| 38|00:11:03|+0.18|0.46|0.8139| +|x| 6| 16| 21| 807.2080077| 49|00:10:49|+0.14|0.36|0.8062| +|=| 3| 16| 21| 886.9252780| 60|00:11:03|+0.12|0.29|0.8479| +|-| 1| 13| 21| 789.1043983| 71|00:12:00|-0.02|0.15|0.7904| +|=| 2| 13| 21| 747.8102089| 79|00:10:00|-0.04|0.11|0.8138| +|=| 5| 13| 21| 691.8339328| 87|00:10:00|-0.03|0.10|0.7093| +|=| 4| 13| 21| 670.5231749| 95|00:09:59|-0.00|0.11|0.7214| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 670.5231749 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 5 85 0.70461 21 25 20 66 12 5 + +# 2023-08-16 16:58:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 85 0.70461 21 25 20 66 12 +13 4 59 0.41704 75 74 75 29 34 +39 3 57 0.11976 90 48 34 59 31 +26 4 41 0.51793 46 84 92 2 53 +28 6 10 0.62281 73 15 13 64 53 +# 2023-08-16 16:58:54 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 282 +# remainingBudget: 218 +# currentBudget: 109 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 21| 300.0000000| 15|00:17:59| NA| NA| NA| +|x| 9| 15| 21| 300.0000000| 25|00:12:01|+0.00|0.50|0.4667| +|x| 7| 15| 41| 366.6666917| 35|00:12:01|+0.00|0.33|0.6493| +|x| 4| 15| 28| 400.0040550| 45|00:12:01|+0.09|0.32|0.6650| +|=| 6| 15| 28| 561.6586502| 55|00:11:08|+0.08|0.26|0.7236| +|=| 3| 15| 48| 668.4383183| 65|00:11:02|+0.07|0.22|0.7425| +|=| 2| 15| 28| 647.2813240| 75|00:12:01|+0.07|0.20|0.7564| +|=| 5| 15| 28| 603.8711585| 85|00:12:00|+0.06|0.18|0.6673| +|=| 8| 15| 48| 670.1563120| 95|00:11:06|+0.01|0.12|0.7332| +|=| 1| 15| 48| 633.1406808| 105|00:12:01|+0.00|0.10|0.7727| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 48 mean value: 633.1406808 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +48 48 6 9 0.93809 100 14 10 18 68 28 + +# 2023-08-16 19:02:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +48 6 9 0.93809 100 14 10 18 68 +21 5 85 0.70461 21 25 20 66 12 +13 4 59 0.41704 75 74 75 29 34 +39 3 57 0.11976 90 48 34 59 31 +28 6 10 0.62281 73 15 13 64 53 +# 2023-08-16 19:02:19 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 387 +# remainingBudget: 113 +# currentBudget: 113 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 51| 1202.947314| 14|00:11:15| NA| NA| NA| +|x| 3| 14| 39| 1202.764057| 23|00:08:48|+0.36|0.68|0.7589| +|x| 10| 14| 39| 901.8427047| 32|00:11:59|+0.25|0.50|0.7700| +|x| 8| 14| 39| 977.7213350| 41|00:08:57|+0.30|0.47|0.7449| +|-| 1| 8| 39| 842.1770680| 50|00:12:00|+0.26|0.41|0.5828| +|=| 4| 8| 39| 785.1562402| 53|00:11:59|+0.04|0.20|0.7381| +|=| 2| 8| 39| 744.4299370| 56|00:11:55|-0.05|0.10|0.8012| +|=| 6| 8| 51| 806.3237044| 59|00:08:41|-0.07|0.06|0.8414| +|=| 7| 8| 39| 770.5338176| 62|00:11:59|-0.09|0.03|0.8619| +|=| 5| 8| 39| 723.4804358| 65|00:11:59|-0.08|0.03|0.7673| +|=| 9| 8| 39| 684.9822144| 68|00:12:00|-0.07|0.02|0.6914| +|=| 12| 8| 51| 670.8877852| 76|00:11:59|-0.07|0.02|0.7065| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 51 mean value: 670.8877852 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 4 59 0.21968 75 67 72 3 19 13 + +# 2023-08-16 21:15:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +51 4 59 0.21968 75 67 72 3 19 +21 5 85 0.70461 21 25 20 66 12 +39 3 57 0.11976 90 48 34 59 31 +58 5 57 0.40637 80 74 73 42 22 +13 4 59 0.41704 75 74 75 29 34 +# 2023-08-16 21:15:58 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 463 +# remainingBudget: 37 +# currentBudget: 37 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 7| 51| 300.0000000| 7|00:10:00| NA| NA| NA| +|x| 6| 7| 13| 752.3726985| 9|00:05:19|+0.00|0.50|0.4286| +|x| 2| 7| 58| 668.2841627| 11|00:06:00|+0.18|0.45|0.4658| +|x| 1| 7| 58| 576.2131220| 13|00:05:59|+0.12|0.34|0.3758| +|=| 9| 7| 58| 520.9704976| 15|00:06:00|+0.09|0.27|0.3112| +|=| 11| 7| 58| 637.5110217| 17|00:04:55|+0.02|0.18|0.4255| +|=| 5| 7| 58| 589.2951614| 19|00:05:59|+0.02|0.16|0.3651| +|=| 12| 7| 58| 578.1358984| 21|00:05:59|+0.01|0.13|0.4360| +|=| 4| 7| 51| 567.6666192| 23|00:05:59|+0.03|0.14|0.4657| +|=| 7| 7| 51| 560.9046780| 25|00:06:00|-0.00|0.10|0.4812| +|=| 10| 7| 51| 537.1860709| 27|00:05:59|-0.00|0.09|0.4405| +|=| 8| 7| 51| 594.1522297| 29|00:05:22|-0.00|0.08|0.4875| +|=| 3| 7| 21| 642.7612965| 31|00:05:20|-0.02|0.06|0.5309| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 642.7612965 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +21 21 5 85 0.70461 21 25 20 66 12 5 + +# 2023-08-16 22:34:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 85 0.70461 21 25 20 66 12 +51 4 59 0.21968 75 67 72 3 19 +13 4 59 0.41704 75 74 75 29 34 +39 3 57 0.11976 90 48 34 59 31 +58 5 57 0.40637 80 74 73 42 22 +# 2023-08-16 22:34:57 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 214061.3, CPU sys time: 24.848, Wall-clock time: 36323.54 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +21 5 85 0.70461 21 25 20 66 12 +51 4 59 0.21968 75 67 72 3 19 +13 4 59 0.41704 75 74 75 29 34 +39 3 57 0.11976 90 48 34 59 31 +58 5 57 0.40637 80 74 73 42 22 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +21 -K5 -k85 -M0.70461 -Q21 -G25 -D20 -O66 -L12 +51 -K4 -k59 -M0.21968 -Q75 -G67 -D72 -O3 -L19 +13 -K4 -k59 -M0.41704 -Q75 -G74 -D75 -O29 -L34 +39 -K3 -k57 -M0.11976 -Q90 -G48 -D34 -O59 -L31 +58 -K5 -k57 -M0.40637 -Q80 -G74 -D73 -O42 -L22 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 22:34:57 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-25.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-25.txt new file mode 100644 index 000000000..c35d9a3e2 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-25.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Documentos/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 10:55:08 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1941611397 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 10:55:08 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 13| 500.0088260| 16|00:14:10| NA| NA| NA| +|x| 2| 16| 13| 852.3741455| 32|00:11:37|+0.17|0.59|0.6920| +|x| 3| 16| 11| 671.9349120| 48|00:14:34|-0.02|0.32|0.9409| +|x| 4| 16| 11| 809.0203910| 64|00:11:36|+0.07|0.30|0.9730| +|=| 5| 16| 11| 707.2163128| 80|00:14:34|+0.13|0.30|0.8734| +|=| 6| 16| 8| 673.0773903| 96|00:14:11|+0.06|0.22|0.8905| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 8 mean value: 673.0773903 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +8 8 2 75 0.82632 83 86 11 31 6 NA + +# 2023-08-16 12:15:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +8 2 75 0.82632 83 86 11 31 6 +11 3 85 0.75940 51 68 71 48 27 +9 6 28 0.10077 19 91 24 73 54 +14 2 15 0.74701 83 71 100 16 2 +4 6 1 0.71805 26 34 75 10 20 +# 2023-08-16 12:15:54 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 20| 1201.732905| 18|00:12:29| NA| NA| NA| +|x| 3| 18| 20| 750.8664525| 31|00:12:30|+0.20|0.60|0.7471| +|x| 4| 18| 20| 903.4702767| 44|00:10:51|-0.06|0.29|1.1078| +|x| 5| 18| 20| 752.6027075| 57|00:12:30|+0.08|0.31|0.9197| +|-| 6| 12| 20| 702.0909922| 70|00:12:21|-0.04|0.17|0.5934| +|=| 2| 12| 20| 788.7425877| 77|00:09:16|-0.06|0.12|0.6438| +|=| 1| 12| 20| 747.5025886| 84|00:12:01|-0.05|0.10|0.6889| +|=| 8| 12| 20| 716.5690407| 96|00:12:22|-0.03|0.10|0.7226| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 716.5690407 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 5 6 0.83016 62 71 30 21 19 8 + +# 2023-08-16 13:50:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 5 6 0.83016 62 71 30 21 19 +8 2 75 0.82632 83 86 11 31 6 +11 3 85 0.75940 51 68 71 48 27 +14 2 15 0.74701 83 71 100 16 2 +22 3 25 0.79873 70 42 70 5 12 +# 2023-08-16 13:50:17 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 192 +# remainingBudget: 308 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 20| 300.0000000| 15|00:12:30| NA| NA| NA| +|x| 5| 15| 20| 300.0000000| 25|00:12:29|+0.85|0.92|0.0000| +|x| 2| 15| 22| 601.3899283| 35|00:09:27|+0.31|0.54|0.6769| +|x| 7| 15| 35| 751.4581252| 45|00:09:50|+0.26|0.45|0.8543| +|-| 8| 10| 31| 704.4939278| 55|00:12:15|+0.11|0.29|0.4656| +|=| 1| 10| 31| 670.4136618| 60|00:12:15|+0.02|0.18|0.6086| +|=| 4| 10| 31| 746.4169554| 65|00:09:35|+0.08|0.21|0.5993| +|=| 3| 10| 31| 690.6148360| 70|00:12:30|+0.07|0.19|0.5298| +|=| 6| 10| 31| 669.4389012| 75|00:12:14|+0.05|0.16|0.5704| +|=| 10| 10| 31| 632.4950111| 85|00:12:30|+0.05|0.14|0.5163| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 632.4950111 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 6 22 0.78211 63 67 10 21 4 20 + +# 2023-08-16 15:45:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 6 22 0.78211 63 67 10 21 4 +35 3 105 0.81478 69 84 34 18 5 +20 5 6 0.83016 62 71 30 21 19 +8 2 75 0.82632 83 86 11 31 6 +22 3 25 0.79873 70 42 70 5 12 +# 2023-08-16 15:45:57 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 277 +# remainingBudget: 223 +# currentBudget: 111 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 44| 1200.569134| 14|00:14:50| NA| NA| NA| +|x| 5| 14| 44| 750.2845670| 23|00:12:29|+0.15|0.58|0.5223| +|x| 10| 14| 44| 600.1897113| 32|00:12:29|+0.33|0.56|0.3627| +|x| 4| 14| 48| 750.8119425| 41|00:09:43|+0.18|0.39|0.6833| +|-| 6| 10| 48| 700.6495544| 50|00:12:12|+0.09|0.27|0.4421| +|=| 1| 10| 48| 667.2111003| 55|00:12:07|+0.17|0.31|0.4438| +|-| 7| 9| 48| 743.6320814| 60|00:08:41|+0.14|0.26|0.4180| +|=| 2| 9| 48| 803.3961134| 64|00:08:15|+0.03|0.15|0.5794| +|=| 3| 9| 48| 747.4632119| 68|00:12:29|+0.02|0.13|0.5247| +|=| 8| 9| 31| 722.8661332| 72|00:11:53|+0.02|0.12|0.5783| +|=| 9| 9| 31| 684.4237575| 76|00:12:29|+0.02|0.11|0.5298| +|=| 12| 9| 31| 669.0608225| 85|00:12:24|+0.01|0.09|0.5709| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 669.0608225 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 6 22 0.78211 63 67 10 21 4 20 + +# 2023-08-16 18:06:04 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 6 22 0.78211 63 67 10 21 4 +48 6 42 0.67171 66 43 9 40 21 +47 5 56 0.43335 21 35 9 5 22 +45 5 32 0.62421 63 64 27 8 31 +20 5 6 0.83016 62 71 30 21 19 +# 2023-08-16 18:06:04 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 362 +# remainingBudget: 138 +# currentBudget: 138 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 15| 49| 1202.619886| 15|00:19:17| NA| NA| NA| +|x| 10| 15| 49| 751.3099430| 25|00:12:30|-0.23|0.39|1.2594| +|x| 5| 15| 49| 600.8732953| 35|00:12:29|-0.06|0.29|0.8396| +|x| 3| 15| 49| 525.6549715| 45|00:12:30|+0.07|0.30|0.6297| +|=| 11| 15| 49| 660.7910694| 55|00:11:25|+0.08|0.26|0.7835| +|=| 2| 15| 45| 754.0656568| 65|00:11:31|+0.04|0.20|0.8137| +|=| 6| 15| 49| 717.9737779| 75|00:12:30|+0.10|0.23|0.7602| +|-| 7| 12| 45| 778.1942460| 85|00:11:07|-0.03|0.10|0.5755| +|=| 4| 12| 48| 827.5430356| 92|00:10:35|-0.05|0.06|0.6413| +|=| 8| 12| 47| 795.7952235| 99|00:12:29|-0.05|0.06|0.6795| +|=| 9| 12| 47| 750.7229305| 106|00:12:30|-0.04|0.05|0.6143| +|=| 1| 12| 31| 729.1023122| 113|00:12:29|-0.03|0.06|0.6407| +|=| 12| 12| 31| 711.4843295| 120|00:12:29|-0.03|0.05|0.6660| +|=| 14| 12| 31| 696.3808386| 132|00:12:30|-0.00|0.07|0.6747| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 696.3808386 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 6 22 0.78211 63 67 10 21 4 20 + +# 2023-08-16 21:02:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 6 22 0.78211 63 67 10 21 4 +47 5 56 0.43335 21 35 9 5 22 +49 6 22 0.74192 50 49 20 36 18 +48 6 42 0.67171 66 43 9 40 21 +58 6 31 0.64195 56 74 12 18 16 +# 2023-08-16 21:02:32 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 494 +# timeUsed: 0 +# remainingBudget: 6 +# currentBudget: 6 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 247000.5, CPU sys time: 31.076, Wall-clock time: 36444.09 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 6 22 0.78211 63 67 10 21 4 +47 5 56 0.43335 21 35 9 5 22 +49 6 22 0.74192 50 49 20 36 18 +48 6 42 0.67171 66 43 9 40 21 +58 6 31 0.64195 56 74 12 18 16 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +31 -K6 -k22 -M0.78211 -Q63 -G67 -D10 -O21 -L4 +47 -K5 -k56 -M0.43335 -Q21 -G35 -D9 -O5 -L22 +49 -K6 -k22 -M0.74192 -Q50 -G49 -D20 -O36 -L18 +48 -K6 -k42 -M0.67171 -Q66 -G43 -D9 -O40 -L21 +58 -K6 -k31 -M0.64195 -Q56 -G74 -D12 -O18 -L16 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 21:02:32 -03: No test instances, skip testing diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-3.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-3.txt new file mode 100644 index 000000000..c6d561ce8 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-3.txt @@ -0,0 +1,261 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 06:54:31 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1681008658 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 06:54:31 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 500.0755970| 16|00:01:51| NA| NA| NA| +|x| 2| 16| 3| 862.2747590| 32|00:01:24|+0.52|0.76|0.3735| +|x| 3| 16| 3| 674.8573773| 48|00:01:59|+0.55|0.70|0.2476| +|x| 4| 16| 1| 580.5666900| 64|00:02:00|+0.54|0.65|0.2439| +|-| 5| 7| 1| 564.4839178| 80|00:01:50|-0.04|0.17|0.8688| +|=| 6| 7| 1| 674.2540302| 87|00:01:14|+0.10|0.25|0.7570| +|=| 7| 7| 1| 649.3766334| 94|00:01:28|+0.09|0.22|0.7575| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 1 mean value: 649.3766334 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +1 1 5 102 0.33094 66 1 69 25 66 NA + +# 2023-08-16 07:06:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +1 5 102 0.33094 66 1 69 25 66 +12 4 56 0.37992 74 21 13 30 55 +3 5 124 0.44597 43 64 1 67 35 +13 6 98 0.14924 93 44 7 24 29 +7 5 32 0.42164 0 76 67 0 27 +# 2023-08-16 07:06:21 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 94 +# remainingBudget: 406 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 1| 300.0000000| 17|00:01:44| NA| NA| NA| +|x| 2| 17| 1| 761.0071640| 29|00:01:29|+0.34|0.67|0.8863| +|x| 3| 17| 1| 607.3381093| 41|00:01:30|+0.45|0.63|0.7517| +|x| 4| 17| 1| 530.5035820| 53|00:01:30|+0.56|0.67|0.6431| +|-| 1| 11| 20| 524.6265238| 65|00:01:29|+0.17|0.34|0.8780| +|=| 6| 11| 1| 640.8952253| 71|00:01:29|+0.15|0.29|0.8488| +|=| 7| 11| 1| 620.7833721| 77|00:01:30|+0.05|0.18|0.8946| +|=| 5| 11| 1| 605.7045543| 83|00:01:30|+0.00|0.13|0.9252| +|=| 9| 11| 1| 674.5795522| 94|00:01:29|+0.01|0.12|0.8990| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 1 mean value: 674.5795522 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +1 1 5 102 0.33094 66 1 69 25 66 NA + +# 2023-08-16 07:20:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +1 5 102 0.33094 66 1 69 25 66 +20 6 100 0.79152 29 72 86 72 34 +24 6 20 0.56112 94 85 57 36 27 +23 5 62 0.46009 92 20 55 26 77 +25 3 117 0.63014 77 48 16 36 25 +# 2023-08-16 07:20:06 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 14| 1| 1221.480108| 14|00:01:41| NA| NA| NA| +|x| 7| 14| 1| 860.7961805| 23|00:01:26|+0.51|0.76|0.5281| +|x| 4| 14| 1| 673.8641203| 32|00:01:30|+0.25|0.50|0.6773| +|x| 6| 14| 1| 811.1742382| 41|00:01:01|+0.14|0.35|0.7869| +|-| 2| 7| 1| 893.3422562| 50|00:01:05|+0.13|0.31|0.6631| +|=| 5| 7| 1| 827.8106850| 52|00:01:19|+0.20|0.33|0.6629| +|=| 3| 7| 1| 752.4091586| 54|00:01:29|+0.18|0.30|0.6956| +|=| 9| 7| 29| 811.3660624| 56|00:00:46|+0.12|0.23|0.7638| +|=| 8| 7| 29| 754.5476110| 58|00:01:29|+0.13|0.22|0.7467| +|=| 1| 7| 1| 729.2696078| 60|00:01:19|+0.10|0.19|0.7524| +|=| 11| 7| 29| 708.3009875| 67|00:01:29|+0.03|0.11|0.8015| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 708.3009875 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 36 0.43022 67 48 46 14 20 24 + +# 2023-08-16 07:34:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 36 0.43022 67 48 46 14 20 +1 5 102 0.33094 66 1 69 25 66 +24 6 20 0.56112 94 85 57 36 27 +20 6 100 0.79152 29 72 86 72 34 +36 6 85 0.53879 67 8 72 4 61 +# 2023-08-16 07:34:45 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 255 +# remainingBudget: 245 +# currentBudget: 122 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 29| 300.0000000| 14|00:01:59| NA| NA| NA| +|x| 1| 14| 36| 400.0941315| 23|00:01:15|+0.29|0.65|0.6712| +|x| 10| 14| 43| 673.2586033| 32|00:01:01|+0.25|0.50|0.6894| +|x| 8| 14| 43| 579.9439525| 41|00:01:15|+0.39|0.54|0.5801| +|-| 6| 9| 1| 708.9674264| 50|00:01:02|-0.08|0.14|0.5670| +|=| 9| 9| 24| 793.7369968| 54|00:00:56|-0.12|0.07|0.6669| +|=| 4| 9| 1| 724.3452383| 58|00:01:15|-0.12|0.04|0.7124| +|=| 7| 9| 1| 696.3161151| 62|00:01:11|-0.06|0.07|0.7257| +|=| 2| 9| 1| 754.7270277| 66|00:00:58|-0.08|0.04|0.7429| +|=| 3| 9| 1| 709.2543249| 70|00:01:15|-0.07|0.04|0.6635| +|=| 11| 9| 29| 690.1000531| 74|00:01:11|-0.06|0.04|0.6796| +|=| 5| 9| 29| 674.2759052| 78|00:01:11|-0.05|0.04|0.6852| +|=| 13| 9| 29| 660.8904592| 87|00:01:30|-0.04|0.04|0.6881| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 660.8904592 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 36 0.43022 67 48 46 14 20 24 + +# 2023-08-16 07:50:51 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 36 0.43022 67 48 46 14 20 +1 5 102 0.33094 66 1 69 25 66 +42 4 4 0.24209 53 16 63 30 70 +24 6 20 0.56112 94 85 57 36 27 +38 5 3 0.64640 87 73 71 41 28 +# 2023-08-16 07:50:51 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 342 +# remainingBudget: 158 +# currentBudget: 158 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 15| 29| 300.0000000| 15|00:02:14| NA| NA| NA| +|x| 12| 15| 29| 300.0000000| 25|00:01:30|+0.47|0.74|0.0000| +|x| 13| 15| 50| 366.7090337| 35|00:01:29|-0.15|0.24|0.8317| +|x| 5| 15| 42| 400.0742267| 45|00:01:29|-0.07|0.20|0.8698| +|=| 9| 15| 42| 564.3306684| 55|00:01:12|+0.06|0.24|0.8254| +|=| 6| 15| 56| 672.7032278| 65|00:01:11|+0.05|0.21|0.8228| +|=| 10| 15| 42| 752.8316181| 75|00:01:08|+0.06|0.20|0.7976| +|=| 2| 15| 42| 811.5820597| 85|00:01:13|+0.06|0.18|0.8039| +|=| 7| 15| 56| 776.0233180| 95|00:01:29|+0.07|0.18|0.8102| +|=| 4| 15| 56| 728.4209862| 105|00:01:29|+0.07|0.17|0.8091| +|=| 1| 15| 50| 708.4511556| 115|00:01:29|+0.06|0.15|0.8074| +|-| 3| 12| 50| 674.4135593| 125|00:01:29|-0.03|0.06|0.8270| +|=| 11| 12| 56| 660.3605880| 132|00:01:28|-0.05|0.03|0.8647| +|=| 8| 12| 56| 634.6205460| 139|00:01:29|-0.04|0.03|0.8016| +|=| 15| 12| 56| 673.9768629| 151|00:01:18|-0.04|0.03|0.8150| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 56 mean value: 673.9768629 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +56 56 3 40 0.50308 77 25 58 12 5 29 + +# 2023-08-16 08:12:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +56 3 40 0.50308 77 25 58 12 5 +55 6 81 0.17916 75 41 82 44 24 +29 4 36 0.43022 67 48 46 14 20 +50 6 28 0.26468 57 16 75 38 60 +53 4 26 0.50330 63 57 70 32 23 +# 2023-08-16 08:12:37 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 28488.56, CPU sys time: 6.011, Wall-clock time: 4685.64 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +56 3 40 0.50308 77 25 58 12 5 +55 6 81 0.17916 75 41 82 44 24 +29 4 36 0.43022 67 48 46 14 20 +50 6 28 0.26468 57 16 75 38 60 +53 4 26 0.50330 63 57 70 32 23 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +56 -K3 -k40 -M0.50308 -Q77 -G25 -D58 -O12 -L5 +55 -K6 -k81 -M0.17916 -Q75 -G41 -D82 -O44 -L24 +29 -K4 -k36 -M0.43022 -Q67 -G48 -D46 -O14 -L20 +50 -K6 -k28 -M0.26468 -Q57 -G16 -D75 -O38 -L60 +53 -K4 -k26 -M0.5033 -Q63 -G57 -D70 -O32 -L23 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 08:12:37 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-4.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-4.txt new file mode 100644 index 000000000..6a2c84e7b --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-4.txt @@ -0,0 +1,260 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-15 09:13:49 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1863975153 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-15 09:13:49 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 300.0000000| 16|00:03:19| NA| NA| NA| +|x| 2| 16| 10| 762.3032810| 32|00:02:45|+0.33|0.67|0.5891| +|x| 3| 16| 10| 674.9114973| 48|00:03:20|+0.23|0.49|0.6771| +|x| 4| 16| 10| 581.1836230| 64|00:03:19|+0.33|0.49|0.5570| +|-| 5| 10| 10| 564.9925754| 80|00:03:20|-0.04|0.17|0.8118| +|=| 6| 10| 10| 674.6664217| 90|00:02:01|-0.02|0.15|0.7870| +|=| 7| 10| 10| 621.1426471| 100|00:02:19|+0.01|0.15|0.7522| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 621.1426471 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 2 83 0.45973 80 0 29 46 24 NA + +# 2023-08-15 09:34:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 2 83 0.45973 80 0 29 46 24 +3 2 24 0.57407 50 44 83 74 40 +14 3 27 0.82715 81 63 38 81 17 +11 4 114 0.56898 52 6 49 37 75 +4 5 25 0.66719 67 37 88 2 37 +# 2023-08-15 09:34:17 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 24| 500.1291940| 16|00:03:19| NA| NA| NA| +|x| 3| 16| 24| 500.0833420| 27|00:01:59|+0.33|0.67|0.6121| +|x| 5| 16| 24| 500.1347927| 38|00:02:00|+0.31|0.54|0.4900| +|x| 7| 16| 24| 450.1010945| 49|00:02:00|+0.28|0.46|0.6154| +|-| 6| 10| 24| 604.6221290| 60|00:01:33|-0.04|0.16|0.8694| +|=| 2| 10| 24| 707.6917145| 65|00:01:23|-0.01|0.16|0.8883| +|=| 4| 10| 24| 649.4500410| 70|00:01:59|-0.03|0.11|0.9266| +|=| 1| 10| 24| 605.7687859| 75|00:02:00|-0.02|0.11|0.8851| +|=| 9| 10| 24| 674.3197828| 85|00:02:02|-0.00|0.11|0.9230| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 674.3197828 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 25 0.6171 91 19 93 24 29 3 + +# 2023-08-15 09:52:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 25 0.61710 91 19 93 24 29 +10 2 83 0.45973 80 0 29 46 24 +27 3 119 0.92365 66 8 37 0 49 +22 2 118 0.43034 31 27 41 43 77 +11 4 114 0.56898 52 6 49 37 75 +# 2023-08-15 09:52:35 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 185 +# remainingBudget: 315 +# currentBudget: 105 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 37| 500.1052930| 15|00:02:39| NA| NA| NA| +|x| 2| 15| 37| 861.8626165| 25|00:01:27|+0.49|0.74|0.3136| +|x| 6| 15| 37| 978.4629400| 35|00:01:28|+0.43|0.62|0.5168| +|x| 1| 15| 22| 810.9269775| 45|00:02:00|+0.25|0.44|0.8024| +|-| 8| 10| 37| 747.1991094| 55|00:01:59|+0.07|0.25|0.9303| +|=| 5| 10| 36| 707.9246872| 60|00:01:39|+0.04|0.20|0.9035| +|=| 7| 10| 36| 649.6497319| 65|00:01:40|+0.00|0.15|0.9220| +|=| 9| 10| 36| 721.4195057| 70|00:01:01|-0.03|0.10|0.9316| +|=| 4| 10| 36| 674.5951162| 75|00:01:40|-0.03|0.08|0.9395| +|=| 3| 10| 24| 656.9084600| 80|00:01:39|-0.05|0.06|0.9357| +|=| 11| 10| 24| 708.3274364| 90|00:01:38|-0.05|0.05|0.9365| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 708.3274364 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 25 0.6171 91 19 93 24 29 3 + +# 2023-08-15 10:11:31 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 25 0.61710 91 19 93 24 29 +36 4 67 0.75799 41 52 54 9 24 +10 2 83 0.45973 80 0 29 46 24 +28 3 91 0.46334 67 4 71 18 82 +31 5 109 0.82440 88 24 2 1 45 +# 2023-08-15 10:11:31 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 13| 24| 300.0000000| 13|00:03:19| NA| NA| NA| +|x| 5| 13| 36| 400.0339735| 21|00:01:59|-0.48|0.26|1.2443| +|x| 2| 13| 28| 674.3220850| 29|00:01:41|-0.31|0.13|1.1650| +|x| 1| 13| 28| 580.7415637| 37|00:02:00|-0.10|0.18|0.9169| +|=| 3| 13| 24| 564.6629652| 45|00:01:59|-0.04|0.17|0.9152| +|=| 8| 13| 24| 553.9073367| 53|00:02:00|-0.00|0.17|0.8876| +|=| 7| 13| 24| 517.6348600| 61|00:02:00|+0.04|0.18|0.8038| +|=| 11| 13| 24| 605.7451525| 69|00:01:42|+0.04|0.16|0.8359| +|=| 10| 13| 24| 594.0186417| 77|00:02:00|+0.03|0.14|0.8564| +|=| 6| 13| 45| 656.8076476| 85|00:01:42|+0.06|0.16|0.8097| +|-| 4| 11| 45| 624.3705887| 93|00:02:00|-0.02|0.07|0.9028| +|=| 9| 11| 24| 674.3001500| 99|00:01:42|-0.05|0.04|0.9306| +|=| 13| 11| 24| 660.9001568| 110|00:02:39|-0.02|0.06|0.9123| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 24 mean value: 660.9001568 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +24 24 6 25 0.6171 91 19 93 24 29 3 + +# 2023-08-15 10:38:21 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +24 6 25 0.61710 91 19 93 24 29 +45 2 94 0.26629 80 13 96 27 68 +36 4 67 0.75799 41 52 54 9 24 +39 6 19 0.65106 89 3 68 47 8 +44 6 39 0.84755 52 71 55 8 5 +# 2023-08-15 10:38:21 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 385 +# remainingBudget: 115 +# currentBudget: 115 +# nbConfigurations: 12 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 12| 49| 1209.314197| 12|00:01:55| NA| NA| NA| +|x| 5| 12| 49| 854.6803305| 19|00:01:40|+0.20|0.60|0.7131| +|x| 2| 12| 49| 977.3353457| 26|00:01:18|-0.07|0.29|0.9767| +|x| 3| 12| 49| 858.0639482| 33|00:01:40|-0.18|0.11|1.0701| +|=| 12| 12| 49| 746.4511586| 40|00:01:40|-0.15|0.08|1.0382| +|=| 4| 12| 49| 672.0426322| 47|00:01:39|-0.12|0.06|0.8449| +|=| 13| 12| 24| 649.6448101| 54|00:01:39|-0.10|0.06|0.8374| +|=| 9| 12| 50| 717.5376311| 61|00:01:15|-0.07|0.06|0.8568| +|=| 10| 12| 50| 693.4006922| 68|00:01:40|-0.06|0.06|0.8645| +|=| 7| 12| 50| 654.0606230| 75|00:01:39|-0.06|0.05|0.7731| +|=| 11| 12| 50| 705.6732536| 82|00:01:13|-0.03|0.06|0.7797| +|=| 1| 12| 50| 671.8671492| 89|00:01:40|-0.03|0.06|0.7123| +|=| 6| 12| 50| 714.0855658| 96|00:01:21|+0.01|0.09|0.7046| +|=| 8| 12| 50| 698.7955852| 103|00:01:39|+0.03|0.10|0.7063| +|=| 15| 12| 50| 672.2092129| 115|00:02:20|+0.03|0.09|0.6602| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 50 mean value: 672.2092129 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 5 33 0.63752 96 20 94 8 1 24 + +# 2023-08-15 11:02:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 5 33 0.63752 96 20 94 8 1 +24 6 25 0.61710 91 19 93 24 29 +51 3 77 0.23873 76 16 91 25 74 +44 6 39 0.84755 52 71 55 8 5 +36 4 67 0.75799 41 52 54 9 24 +# 2023-08-15 11:02:46 -03: Stopped because budget is exhausted +# Iteration: 6 +# nbIterations: 5 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 115 +# number of elites: 5 +# nbConfigurations: 12 +# Total CPU user time: 33723.13, CPU sys time: 7.32, Wall-clock time: 6536.564 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +50 5 33 0.63752 96 20 94 8 1 +24 6 25 0.61710 91 19 93 24 29 +51 3 77 0.23873 76 16 91 25 74 +44 6 39 0.84755 52 71 55 8 5 +36 4 67 0.75799 41 52 54 9 24 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +50 -K5 -k33 -M0.63752 -Q96 -G20 -D94 -O8 -L1 +24 -K6 -k25 -M0.6171 -Q91 -G19 -D93 -O24 -L29 +51 -K3 -k77 -M0.23873 -Q76 -G16 -D91 -O25 -L74 +44 -K6 -k39 -M0.84755 -Q52 -G71 -D55 -O8 -L5 +36 -K4 -k67 -M0.75799 -Q41 -G52 -D54 -O9 -L24 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-15 11:02:46 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-5.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-5.txt new file mode 100644 index 000000000..5b066990c --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-5.txt @@ -0,0 +1,255 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-15 09:21:27 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 388564186 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-15 09:21:27 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 300.0000000| 16|00:02:55| NA| NA| NA| +|x| 2| 16| 12| 760.4913460| 32|00:02:30|+0.25|0.63|0.4202| +|x| 3| 16| 10| 673.8370790| 48|00:02:52|+0.11|0.41|0.6332| +|x| 4| 16| 10| 580.3778093| 64|00:02:55|+0.15|0.36|0.5969| +|-| 5| 8| 10| 708.5626352| 80|00:02:29|+0.05|0.24|0.4918| +|=| 6| 8| 10| 673.8443200| 88|00:02:23|-0.03|0.14|0.5606| +|=| 7| 8| 10| 620.4379886| 96|00:02:30|-0.02|0.12|0.4838| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 10 mean value: 620.4379886 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +10 10 2 105 0.47823 60 40 48 69 31 NA + +# 2023-08-15 09:40:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +10 2 105 0.47823 60 40 48 69 31 +12 4 84 0.18508 32 15 95 85 31 +6 5 17 0.87207 65 90 89 99 40 +11 6 56 0.19919 34 8 81 28 55 +14 5 44 0.85528 90 37 85 34 88 +# 2023-08-15 09:40:03 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 500.0595980| 17|00:04:29| NA| NA| NA| +|x| 5| 17| 26| 855.6909215| 29|00:02:56|+0.17|0.58|0.6822| +|x| 1| 17| 26| 670.4606143| 41|00:03:44|+0.08|0.39|0.9470| +|x| 3| 17| 26| 627.8720685| 53|00:03:33|+0.19|0.39|0.8230| +|=| 4| 17| 26| 562.2976548| 65|00:03:45|+0.13|0.31|0.8112| +|=| 7| 17| 26| 518.5813790| 77|00:03:45|+0.12|0.26|0.7524| +|-| 6| 10| 26| 515.9333221| 89|00:03:33|-0.02|0.13|0.5195| +|=| 2| 10| 26| 604.2170026| 94|00:01:46|+0.01|0.14|0.5461| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 604.2170026 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 3 90 0.65931 60 24 28 27 14 10 + +# 2023-08-15 10:07:38 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 3 90 0.65931 60 24 28 27 14 +10 2 105 0.47823 60 40 48 69 31 +12 4 84 0.18508 32 15 95 85 31 +17 4 112 0.70574 93 81 97 60 87 +14 5 44 0.85528 90 37 85 34 88 +# 2023-08-15 10:07:38 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 190 +# remainingBudget: 310 +# currentBudget: 103 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 30| 1221.698481| 15|00:03:23| NA| NA| NA| +|x| 7| 15| 30| 760.8492405| 25|00:02:54|-0.14|0.43|1.1292| +|x| 2| 15| 29| 914.2533560| 35|00:02:35|-0.00|0.33|0.9559| +|x| 5| 15| 29| 991.2337167| 45|00:02:36|+0.16|0.37|0.8569| +|-| 4| 10| 29| 852.9869734| 55|00:02:54|-0.02|0.18|0.5792| +|=| 3| 10| 29| 794.1794025| 60|00:02:22|-0.04|0.13|0.6706| +|=| 8| 10| 29| 752.1732356| 65|00:02:22|+0.03|0.17|0.6641| +|=| 1| 10| 29| 695.6515811| 70|00:02:30|+0.02|0.15|0.5784| +|=| 6| 10| 26| 673.3722831| 75|00:02:22|+0.07|0.17|0.5811| +|=| 10| 10| 29| 728.7602316| 85|00:02:38|+0.04|0.14|0.6200| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 728.7602316 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 13 0.74775 48 34 73 56 65 14 + +# 2023-08-15 10:34:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 13 0.74775 48 34 73 56 65 +26 3 90 0.65931 60 24 28 27 14 +12 4 84 0.18508 32 15 95 85 31 +30 2 45 0.32465 23 29 69 21 21 +14 5 44 0.85528 90 37 85 34 88 +# 2023-08-15 10:34:19 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 275 +# remainingBudget: 225 +# currentBudget: 112 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 14| 29| 500.0733280| 14|00:03:15| NA| NA| NA| +|x| 7| 14| 29| 400.0366640| 23|00:02:29|-0.03|0.49|1.0498| +|x| 5| 14| 39| 668.8946270| 32|00:01:49|-0.01|0.33|0.9588| +|x| 2| 14| 29| 810.8273873| 41|00:01:52|-0.01|0.24|0.9891| +|=| 1| 14| 29| 708.6619098| 50|00:02:29|+0.02|0.22|0.8842| +|=| 6| 14| 29| 673.8994695| 59|00:02:22|+0.07|0.22|0.8831| +|=| 3| 14| 26| 647.6770561| 68|00:02:21|+0.00|0.15|0.8715| +|=| 10| 14| 29| 720.7300955| 77|00:01:54|+0.02|0.14|0.8599| +|=| 9| 14| 29| 776.3932678| 86|00:01:48|+0.01|0.12|0.8773| +|=| 8| 14| 29| 748.7675644| 95|00:02:21|-0.00|0.10|0.8531| +|=| 4| 14| 29| 707.9705131| 104|00:02:30|+0.00|0.09|0.8340| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 707.9705131 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 13 0.74775 48 34 73 56 65 14 + +# 2023-08-15 10:59:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 13 0.74775 48 34 73 56 65 +26 3 90 0.65931 60 24 28 27 14 +30 2 45 0.32465 23 29 69 21 21 +44 3 12 0.66998 20 17 39 56 44 +39 4 37 0.73208 42 30 56 34 79 +# 2023-08-15 10:59:36 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 14 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 14| 29| 300.0000000| 14|00:03:20| NA| NA| NA| +|x| 7| 14| 29| 300.0000000| 23|00:02:29|+1.00|1.00|0.0000| +|x| 5| 14| 39| 602.2032083| 32|00:01:58|+0.25|0.50|0.5629| +|x| 6| 14| 26| 577.8326920| 41|00:02:25|+0.21|0.41|0.6774| +|=| 10| 14| 29| 708.9128932| 50|00:01:58|-0.05|0.16|0.9171| +|=| 4| 14| 29| 640.7607443| 59|00:02:30|+0.02|0.18|0.7962| +|=| 1| 14| 29| 592.0806380| 68|00:02:29|+0.07|0.21|0.7008| +|=| 9| 14| 29| 670.7828890| 77|00:01:57|+0.06|0.18|0.7619| +|-| 11| 9| 29| 651.8151600| 86|00:02:25|-0.03|0.09|0.5250| +|=| 2| 9| 29| 708.7397862| 90|00:01:27|-0.00|0.10|0.5534| +|=| 3| 9| 29| 689.7763100| 94|00:01:58|+0.00|0.09|0.5628| +|=| 8| 9| 29| 673.9729703| 98|00:01:59|-0.02|0.07|0.5980| +|=| 13| 9| 29| 660.6032626| 107|00:02:47|-0.00|0.08|0.6140| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 29 mean value: 660.6032626 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 13 0.74775 48 34 73 56 65 14 + +# 2023-08-15 11:29:24 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 13 0.74775 48 34 73 56 65 +26 3 90 0.65931 60 24 28 27 14 +48 3 73 0.82975 46 33 44 16 10 +39 4 37 0.73208 42 30 56 34 79 +44 3 12 0.66998 20 17 39 56 44 +# 2023-08-15 11:29:24 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 486 +# timeUsed: 0 +# remainingBudget: 14 +# currentBudget: 14 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 40279.82, CPU sys time: 7.041, Wall-clock time: 7677.023 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +29 4 13 0.74775 48 34 73 56 65 +26 3 90 0.65931 60 24 28 27 14 +48 3 73 0.82975 46 33 44 16 10 +39 4 37 0.73208 42 30 56 34 79 +44 3 12 0.66998 20 17 39 56 44 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +29 -K4 -k13 -M0.74775 -Q48 -G34 -D73 -O56 -L65 +26 -K3 -k90 -M0.65931 -Q60 -G24 -D28 -O27 -L14 +48 -K3 -k73 -M0.82975 -Q46 -G33 -D44 -O16 -L10 +39 -K4 -k37 -M0.73208 -Q42 -G30 -D56 -O34 -L79 +44 -K3 -k12 -M0.66998 -Q20 -G17 -D39 -O56 -L44 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-15 11:29:24 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-6.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-6.txt new file mode 100644 index 000000000..385d22c25 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-6.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-15 09:19:44 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 179908184 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-15 09:19:44 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:05:00| NA| NA| NA| +|x| 2| 16| 11| 400.0330445| 32|00:04:59|+0.55|0.77|0.8364| +|x| 3| 16| 9| 669.8229437| 48|00:04:04|+0.25|0.50|0.8867| +|x| 4| 16| 9| 627.3924063| 64|00:04:59|+0.24|0.43|0.7882| +|-| 5| 10| 9| 561.9139250| 80|00:05:00|-0.06|0.15|0.9649| +|=| 6| 10| 9| 671.9672733| 90|00:03:37|-0.05|0.12|0.9779| +|=| 7| 10| 9| 750.9458219| 100|00:03:47|-0.03|0.12|0.9908| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 750.9458219 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 5 51 0.18822 73 54 66 13 48 NA + +# 2023-08-15 09:51:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 5 51 0.18822 73 54 66 13 48 +6 5 95 0.37838 84 45 36 13 94 +1 5 14 0.54978 92 57 29 30 30 +13 4 87 0.51077 68 8 84 93 28 +10 6 55 0.57485 71 22 3 16 20 +# 2023-08-15 09:51:13 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 100 +# remainingBudget: 400 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 16| 9| 300.0000000| 16|00:05:30| NA| NA| NA| +|x| 3| 16| 9| 754.6926540| 27|00:02:56|-0.33|0.34|1.0139| +|x| 5| 16| 9| 603.1284360| 38|00:03:29|-0.01|0.33|0.7838| +|x| 7| 16| 1| 760.5062252| 49|00:02:59|-0.01|0.24|0.8422| +|=| 6| 16| 23| 853.1267858| 60|00:02:57|+0.09|0.27|0.8458| +|=| 1| 16| 23| 760.9389882| 71|00:03:29|+0.12|0.26|0.8465| +|=| 2| 16| 9| 722.3599941| 82|00:03:29|+0.05|0.18|0.9027| +|-| 4| 12| 20| 696.3810786| 93|00:03:30|-0.05|0.08|0.9714| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 696.3810786 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +20 20 6 34 0.93625 97 41 86 59 17 1 + +# 2023-08-15 10:19:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +20 6 34 0.93625 97 41 86 59 17 +9 5 51 0.18822 73 54 66 13 48 +6 5 95 0.37838 84 45 36 13 94 +17 5 58 0.36678 77 31 35 62 25 +1 5 14 0.54978 92 57 29 30 30 +# 2023-08-15 10:19:36 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 6| 500.0081740| 15|00:05:59| NA| NA| NA| +|x| 1| 15| 6| 400.0040870| 25|00:05:00|-0.26|0.37|1.1142| +|x| 6| 15| 6| 673.9120810| 35|00:04:03|+0.15|0.44|0.9803| +|x| 4| 15| 6| 630.4444153| 45|00:04:59|+0.31|0.48|0.8182| +|-| 8| 7| 6| 564.3555322| 55|00:05:00|+0.06|0.25|0.7301| +|=| 3| 7| 6| 674.1604152| 57|00:01:49|-0.02|0.15|0.7902| +|=| 7| 7| 6| 752.5430967| 59|00:01:43|-0.09|0.06|0.8156| +|=| 5| 7| 6| 695.9752096| 61|00:02:30|-0.08|0.06|0.7035| +|=| 2| 7| 6| 674.2311547| 63|00:02:29|-0.09|0.03|0.7412| +|=| 10| 7| 9| 655.6874336| 70|00:02:59|-0.09|0.02|0.7571| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 9 mean value: 655.6874336 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +9 9 5 51 0.18822 73 54 66 13 48 NA + +# 2023-08-15 10:56:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +9 5 51 0.18822 73 54 66 13 48 +35 4 70 0.64305 94 19 49 33 9 +28 5 43 0.30788 83 63 49 11 12 +6 5 95 0.37838 84 45 36 13 94 +20 6 34 0.93625 97 41 86 59 17 +# 2023-08-15 10:56:13 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 263 +# remainingBudget: 237 +# currentBudget: 118 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 9| 300.0000000| 15|00:05:29| NA| NA| NA| +|x| 8| 15| 9| 300.0000000| 25|00:04:30|+1.00|1.00|0.0000| +|x| 6| 15| 28| 603.0019700| 35|00:03:42|+0.29|0.53|0.5700| +|x| 5| 15| 28| 527.2514775| 45|00:04:29|+0.38|0.53|0.4275| +|-| 1| 14| 40| 481.9206050| 55|00:04:30|-0.08|0.13|0.4342| +|=| 2| 14| 20| 487.0252258| 64|00:03:59|-0.01|0.16|0.5191| +|=| 9| 14| 9| 488.9182136| 73|00:04:00|+0.04|0.18|0.5593| +|=| 10| 14| 46| 490.3202004| 82|00:04:00|+0.07|0.18|0.5820| +|=| 7| 14| 46| 571.5865657| 91|00:03:06|+0.05|0.16|0.6288| +|=| 3| 14| 46| 636.5919037| 100|00:03:24|+0.04|0.14|0.6721| +|=| 4| 14| 41| 624.1809591| 109|00:03:59|+0.07|0.15|0.6692| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 624.1809591 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 5 75 0.53623 78 18 31 34 50 35 + +# 2023-08-15 11:41:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 5 75 0.53623 78 18 31 34 50 +46 4 55 0.71063 85 16 57 25 47 +9 5 51 0.18822 73 54 66 13 48 +35 4 70 0.64305 94 19 49 33 9 +28 5 43 0.30788 83 63 49 11 12 +# 2023-08-15 11:41:26 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 372 +# remainingBudget: 128 +# currentBudget: 128 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 51| 1220.610017| 15|00:03:49| NA| NA| NA| +|x| 7| 15| 41| 1221.656395| 25|00:02:53|-0.10|0.45|1.1621| +|x| 8| 15| 41| 914.4375963| 35|00:03:59|-0.01|0.33|0.9469| +|x| 9| 15| 46| 810.8415802| 45|00:04:00|+0.09|0.32|0.8519| +|=| 6| 15| 46| 893.1200860| 55|00:02:43|+0.11|0.29|0.8650| +|=| 5| 15| 46| 794.2667383| 65|00:04:00|+0.08|0.24|0.8634| +|=| 11| 15| 46| 723.6572043| 75|00:03:59|+0.08|0.21|0.8215| +|-| 3| 9| 46| 785.9050470| 85|00:02:46|-0.02|0.11|0.7140| +|=| 1| 9| 46| 731.9155973| 89|00:02:59|-0.04|0.08|0.7562| +|=| 10| 9| 46| 708.7376415| 93|00:03:00|-0.05|0.06|0.7683| +|=| 2| 9| 46| 689.7728698| 97|00:02:59|-0.05|0.05|0.7754| +|=| 4| 9| 41| 673.9644170| 101|00:03:00|-0.01|0.07|0.7709| +|=| 13| 9| 41| 716.0880179| 110|00:02:37|-0.03|0.05|0.7950| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 716.0880179 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 5 75 0.53623 78 18 31 34 50 35 + +# 2023-08-15 12:24:19 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 5 75 0.53623 78 18 31 34 50 +9 5 51 0.18822 73 54 66 13 48 +46 4 55 0.71063 85 16 57 25 47 +35 4 70 0.64305 94 19 49 33 9 +55 3 47 0.25389 81 2 55 9 4 +# 2023-08-15 12:24:19 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 482 +# timeUsed: 0 +# remainingBudget: 18 +# currentBudget: 18 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 57884.55, CPU sys time: 9.105, Wall-clock time: 11075.08 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +41 5 75 0.53623 78 18 31 34 50 +9 5 51 0.18822 73 54 66 13 48 +46 4 55 0.71063 85 16 57 25 47 +35 4 70 0.64305 94 19 49 33 9 +55 3 47 0.25389 81 2 55 9 4 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +41 -K5 -k75 -M0.53623 -Q78 -G18 -D31 -O34 -L50 +9 -K5 -k51 -M0.18822 -Q73 -G54 -D66 -O13 -L48 +46 -K4 -k55 -M0.71063 -Q85 -G16 -D57 -O25 -L47 +35 -K4 -k70 -M0.64305 -Q94 -G19 -D49 -O33 -L9 +55 -K3 -k47 -M0.25389 -Q81 -G2 -D55 -O9 -L4 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-15 12:24:19 -03: No test instances, skip testing +discente@OptiPlex-3000:~/Downloads/IC/heuristic-scientific-research/src/irace$ \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-7.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-7.txt new file mode 100644 index 000000000..5eeef722c --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-7.txt @@ -0,0 +1,295 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 06:53:57 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1416775985 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 06:53:57 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 1| 300.0000000| 16|00:03:30| NA| NA| NA| +|x| 2| 16| 13| 753.6917340| 32|00:03:29|+0.39|0.69|0.6440| +|x| 3| 16| 13| 669.1347327| 48|00:03:29|+0.41|0.61|0.6357| +|x| 4| 16| 13| 576.8510495| 64|00:03:30|+0.46|0.59|0.5453| +|-| 5| 5| 13| 561.4937310| 80|00:03:29|+0.20|0.36|0.3629| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 561.4937310 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 07:11:27 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +7 2 73 0.40540 94 61 33 68 80 +6 4 41 0.50640 59 75 64 39 28 +14 2 28 0.50671 36 50 45 75 41 +11 6 119 0.62396 81 44 98 55 83 +# 2023-08-16 07:11:27 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 80 +# remainingBudget: 420 +# currentBudget: 105 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 6| 18| 23| 1209.687586| 18|00:03:39| NA| NA| NA| +|x| 4| 18| 23| 754.8437930| 31|00:03:30|+0.43|0.72|0.5669| +|x| 2| 18| 13| 909.7528013| 44|00:02:59|-0.03|0.31|1.0175| +|x| 3| 18| 13| 807.3197835| 57|00:03:28|+0.18|0.38|0.9280| +|-| 1| 11| 13| 705.8558268| 70|00:03:30|+0.01|0.21|0.5491| +|=| 5| 11| 13| 671.5572652| 76|00:02:52|+0.07|0.23|0.5358| +|=| 7| 11| 13| 618.4776559| 87|00:03:30|+0.06|0.19|0.4693| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 618.4776559 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 07:34:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +14 2 28 0.50671 36 50 45 75 41 +28 5 117 0.62436 83 23 75 83 32 +6 4 41 0.50640 59 75 64 39 28 +# 2023-08-16 07:34:58 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 167 +# remainingBudget: 333 +# currentBudget: 111 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 18| 31| 1220.912942| 18|00:03:08| NA| NA| NA| +|x| 5| 18| 13| 860.7958535| 31|00:03:24|+0.44|0.72|0.4620| +|x| 2| 18| 13| 976.3250583| 44|00:02:52|+0.38|0.59|0.6051| +|x| 4| 18| 13| 807.2437938| 57|00:03:30|+0.33|0.50|0.6647| +|-| 6| 11| 13| 890.1700222| 70|00:02:55|-0.02|0.18|0.9615| +|=| 1| 11| 13| 791.8083518| 76|00:03:30|-0.02|0.15|0.7925| +|=| 3| 11| 13| 750.1244059| 82|00:03:16|+0.02|0.16|0.7578| +|=| 7| 11| 13| 693.8588551| 88|00:03:30|+0.02|0.14|0.6658| +|=| 9| 11| 13| 672.3360218| 99|00:03:24|+0.04|0.15|0.6873| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 672.3360218 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 08:04:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +35 6 114 0.31453 64 27 89 36 60 +32 5 110 0.54946 54 56 24 37 9 +31 4 33 0.42927 50 50 82 59 39 +# 2023-08-16 08:04:32 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 266 +# remainingBudget: 234 +# currentBudget: 117 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 16| 46| 500.0150290| 16|00:05:31| NA| NA| NA| +|x| 9| 16| 35| 500.0432125| 27|00:03:26|+0.74|0.87|0.4532| +|x| 2| 16| 46| 737.3791043| 38|00:02:54|+0.37|0.58|0.6386| +|x| 7| 16| 13| 626.9121058| 49|00:03:30|+0.15|0.37|0.9014| +|-| 6| 11| 23| 746.6127746| 60|00:02:48|-0.11|0.11|1.0084| +|=| 3| 11| 23| 705.5255852| 66|00:03:22|-0.06|0.12|0.9494| +|=| 5| 11| 23| 676.1767187| 72|00:03:24|+0.03|0.17|0.9044| +|=| 1| 11| 23| 629.1546289| 78|00:03:30|+0.02|0.14|0.8873| +|=| 4| 11| 23| 592.5818923| 84|00:03:30|+0.02|0.13|0.8527| +|=| 8| 11| 13| 655.1135796| 90|00:02:33|+0.03|0.13|0.8453| +|=| 11| 11| 13| 622.8305269| 101|00:03:29|+0.03|0.12|0.8161| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 622.8305269 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 08:42:34 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +35 6 114 0.31453 64 27 89 36 60 +32 5 110 0.54946 54 56 24 37 9 +44 5 75 0.39670 83 31 92 32 55 +# 2023-08-16 08:42:34 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 367 +# remainingBudget: 133 +# currentBudget: 133 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 15| 13| 1209.939601| 15|00:03:53| NA| NA| NA| +|x| 2| 15| 13| 1208.661535| 25|00:02:45|+0.67|0.84|0.0894| +|x| 11| 15| 13| 905.7743563| 35|00:03:29|+0.34|0.56|0.3409| +|x| 8| 15| 63| 982.3638753| 45|00:02:46|+0.12|0.34|0.5694| +|-| 5| 9| 63| 885.9144840| 55|00:03:26|+0.11|0.29|0.5664| +|=| 3| 9| 13| 823.1559177| 59|00:02:51|+0.07|0.22|0.5968| +|=| 7| 9| 13| 748.4193580| 63|00:02:55|+0.05|0.19|0.5321| +|=| 10| 9| 13| 717.3808882| 67|00:02:50|-0.06|0.08|0.6637| +|=| 9| 9| 13| 693.2444957| 71|00:02:50|-0.03|0.08|0.6795| +|=| 4| 9| 13| 653.9200461| 75|00:02:55|-0.03|0.07|0.6127| +|=| 1| 9| 13| 621.7454965| 79|00:02:55|-0.03|0.07|0.5579| +|=| 6| 9| 13| 671.7562831| 83|00:02:15|-0.03|0.05|0.5930| +|=| 13| 9| 13| 658.5543905| 92|00:03:24|-0.04|0.04|0.6099| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 658.5543905 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 09:21:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +35 6 114 0.31453 64 27 89 36 60 +55 5 109 0.65245 80 37 28 45 4 +44 5 75 0.39670 83 31 92 32 55 +# 2023-08-16 09:21:54 -03: Iteration 6 of 6 +# experimentsUsedSoFar: 459 +# remainingBudget: 41 +# currentBudget: 41 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 7| 23| 1221.314178| 7|00:02:20| NA| NA| NA| +|x| 8| 7| 13| 1221.860512| 9|00:02:00|-0.39|0.30|1.0307| +|x| 12| 7| 13| 1217.886875| 11|00:02:07|-0.12|0.25|0.9858| +|x| 1| 7| 13| 988.4151563| 13|00:02:55|-0.08|0.19|0.7072| +|=| 2| 7| 13| 1032.208819| 15|00:01:56|+0.09|0.28|0.6470| +|=| 7| 7| 13| 910.1740155| 17|00:02:55|+0.07|0.23|0.5457| +|=| 9| 7| 13| 851.5996354| 19|00:02:45|+0.01|0.15|0.5910| +|=| 10| 7| 13| 807.6636310| 21|00:02:45|-0.05|0.08|0.6502| +|=| 3| 7| 13| 773.4810864| 23|00:02:47|-0.01|0.10|0.6480| +|=| 6| 7| 13| 818.3204714| 25|00:02:02|-0.02|0.08|0.6788| +|=| 11| 7| 13| 771.2004285| 27|00:02:54|-0.02|0.07|0.6177| +|=| 5| 7| 13| 748.6057642| 29|00:02:47|-0.01|0.08|0.6302| +|=| 4| 7| 13| 714.0976285| 31|00:02:55|-0.00|0.07|0.5827| +|=| 13| 7| 13| 698.8143465| 33|00:02:46|-0.02|0.05|0.6091| +|=| 15| 7| 13| 672.2267234| 40|00:03:29|-0.02|0.05|0.5687| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 13 mean value: 672.2267234 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 2023-08-16 10:01:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +35 6 114 0.31453 64 27 89 36 60 +55 5 109 0.65245 80 37 28 45 4 +65 5 109 0.76586 73 21 33 42 4 +# 2023-08-16 10:01:25 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 7 +# nbIterations: 7 +# experimentsUsedSoFar: 499 +# timeUsed: 0 +# remainingBudget: 1 +# currentBudget: 1 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 59636.79, CPU sys time: 9.165, Wall-clock time: 11248.15 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +13 4 117 0.34365 50 66 97 65 82 +23 2 116 0.56531 67 50 61 68 2 +35 6 114 0.31453 64 27 89 36 60 +55 5 109 0.65245 80 37 28 45 4 +65 5 109 0.76586 73 21 33 42 4 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +13 -K4 -k117 -M0.34365 -Q50 -G66 -D97 -O65 -L82 +23 -K2 -k116 -M0.56531 -Q67 -G50 -D61 -O68 -L2 +35 -K6 -k114 -M0.31453 -Q64 -G27 -D89 -O36 -L60 +55 -K5 -k109 -M0.65245 -Q80 -G37 -D28 -O45 -L4 +65 -K5 -k109 -M0.76586 -Q73 -G21 -D33 -O42 -L4 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 10:01:25 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-8.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-8.txt new file mode 100644 index 000000000..a59827bf2 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-8.txt @@ -0,0 +1,247 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 06:56:14 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 348668933 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 06:56:14 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 2| 300.0000000| 16|00:04:39| NA| NA| NA| +|x| 2| 16| 16| 752.5627410| 32|00:04:35|+0.17|0.59|0.7982| +|x| 3| 16| 14| 672.8724683| 48|00:04:39|-0.03|0.31|1.0372| +|x| 4| 16| 14| 810.1151335| 64|00:04:36|+0.08|0.31|1.0015| +|=| 5| 16| 14| 708.0921068| 80|00:04:40|+0.12|0.29|0.9428| +|=| 6| 16| 14| 673.4417615| 96|00:04:39|+0.05|0.21|0.9362| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 673.4417615 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +14 14 2 109 0.43149 96 70 62 64 60 NA + +# 2023-08-16 07:24:06 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +14 2 109 0.43149 96 70 62 64 60 +9 5 107 0.36163 85 5 84 35 55 +2 5 92 0.24841 97 94 100 60 1 +10 5 73 0.58432 54 20 29 96 30 +6 3 43 0.67117 59 48 73 49 3 +# 2023-08-16 07:24:06 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 96 +# remainingBudget: 404 +# currentBudget: 101 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 18| 14| 300.0000000| 18|00:06:00| NA| NA| NA| +|x| 2| 18| 17| 751.5987920| 31|00:04:29|+0.15|0.58|0.7752| +|x| 1| 18| 17| 601.0658613| 44|00:05:20|+0.31|0.54|0.5512| +|x| 5| 18| 17| 525.7993960| 57|00:05:19|+0.41|0.56|0.4911| +|-| 4| 16| 14| 668.0859600| 70|00:04:15|-0.03|0.17|0.4178| +|=| 6| 16| 26| 640.4014703| 81|00:04:00|-0.06|0.11|0.5171| +|=| 3| 16| 26| 620.3476390| 92|00:03:59|-0.06|0.09|0.5885| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 26 mean value: 620.3476390 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +26 26 5 71 0.63853 83 19 51 22 71 9 + +# 2023-08-16 07:57:32 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +26 5 71 0.63853 83 19 51 22 71 +29 6 69 0.35122 98 92 58 57 12 +14 2 109 0.43149 96 70 62 64 60 +19 3 105 0.55083 85 3 85 54 67 +9 5 107 0.36163 85 5 84 35 55 +# 2023-08-16 07:57:32 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 188 +# remainingBudget: 312 +# currentBudget: 104 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 37| 1209.900259| 17|00:05:00| NA| NA| NA| +|x| 4| 17| 33| 1213.706536| 29|00:03:10|-0.34|0.33|1.0334| +|x| 6| 17| 33| 975.8481087| 41|00:03:56|-0.20|0.20|0.9348| +|x| 3| 17| 31| 861.3576475| 53|00:03:57|-0.10|0.17|0.9923| +|=| 2| 17| 31| 933.5334120| 65|00:03:13|-0.07|0.15|0.9687| +|=| 1| 17| 31| 827.9445100| 77|00:03:59|-0.05|0.12|0.8027| +|=| 5| 17| 31| 752.5238657| 89|00:04:00|-0.05|0.10|0.6854| +|=| 7| 17| 31| 695.9583825| 101|00:03:59|-0.04|0.09|0.5981| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 695.9583825 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +31 31 6 71 0.38165 94 82 47 41 37 29 + +# 2023-08-16 08:28:50 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +31 6 71 0.38165 94 82 47 41 37 +26 5 71 0.63853 83 19 51 22 71 +29 6 69 0.35122 98 92 58 57 12 +36 4 69 0.89739 79 12 66 19 77 +30 5 49 0.46000 95 47 30 23 82 +# 2023-08-16 08:28:50 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 289 +# remainingBudget: 211 +# currentBudget: 105 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 16| 29| 500.0308360| 16|00:07:06| NA| NA| NA| +|x| 1| 16| 29| 400.0154180| 27|00:04:00|+0.18|0.59|0.7684| +|x| 8| 16| 29| 674.2264357| 38|00:03:25|+0.10|0.40|0.5919| +|x| 3| 16| 29| 630.6756480| 49|00:03:58|-0.04|0.22|0.8797| +|=| 4| 16| 31| 749.1043842| 60|00:03:22|+0.04|0.23|0.8248| +|=| 6| 16| 29| 707.8497330| 71|00:03:58|+0.13|0.27|0.7308| +|=| 2| 16| 49| 780.1152673| 82|00:03:30|+0.09|0.22|0.7912| +|=| 7| 16| 49| 720.1008589| 93|00:03:59|+0.08|0.20|0.7106| +|=| 5| 16| 49| 673.4229857| 104|00:03:59|+0.07|0.17|0.6438| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 673.4229857 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +49 49 5 76 0.43483 43 23 55 9 54 26 + +# 2023-08-16 09:06:12 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +49 5 76 0.43483 43 23 55 9 54 +48 6 81 0.75670 90 18 36 2 45 +29 6 69 0.35122 98 92 58 57 12 +31 6 71 0.38165 94 82 47 41 37 +51 4 57 0.28608 93 57 44 53 54 +# 2023-08-16 09:06:12 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 393 +# remainingBudget: 107 +# currentBudget: 107 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 15| 49| 300.0000000| 15|00:06:40| NA| NA| NA| +|x| 7| 15| 49| 300.0000000| 25|00:04:00|+1.00|1.00|0.0000| +|x| 5| 15| 49| 300.0000000| 35|00:04:00|+1.00|1.00|0.0000| +|x| 3| 15| 55| 350.0055747| 45|00:03:59|+0.31|0.48|0.5249| +|=| 8| 15| 55| 524.3404636| 55|00:03:26|+0.12|0.30|0.7692| +|-| 4| 12| 55| 640.3702940| 65|00:03:32|+0.02|0.19|0.5157| +|=| 1| 12| 55| 591.7459663| 72|00:04:00|+0.02|0.16|0.4338| +|=| 2| 12| 55| 668.3643299| 79|00:03:28|+0.11|0.22|0.4581| +|-| 9| 11| 55| 649.6676711| 86|00:04:00|+0.13|0.23|0.4973| +|=| 6| 11| 55| 634.7115889| 92|00:03:58|+0.04|0.14|0.5681| +|-| 11| 6| 55| 687.8630585| 103|00:03:29|-0.03|0.06|0.5631| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 55 mean value: 687.8630585 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 6 72 0.82492 93 19 72 11 41 48 + +# 2023-08-16 09:50:49 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 6 72 0.82492 93 19 72 11 41 +56 5 97 0.47178 68 4 49 13 26 +58 5 52 0.77904 99 4 27 12 22 +49 5 76 0.43483 43 23 55 9 54 +61 6 65 0.46705 44 15 72 19 58 +# 2023-08-16 09:50:49 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 5 +# nbConfigurations: 4 +# Total CPU user time: 84362.77, CPU sys time: 11.085, Wall-clock time: 10474.29 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +55 6 72 0.82492 93 19 72 11 41 +56 5 97 0.47178 68 4 49 13 26 +58 5 52 0.77904 99 4 27 12 22 +49 5 76 0.43483 43 23 55 9 54 +61 6 65 0.46705 44 15 72 19 58 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +55 -K6 -k72 -M0.82492 -Q93 -G19 -D72 -O11 -L41 +56 -K5 -k97 -M0.47178 -Q68 -G4 -D49 -O13 -L26 +58 -K5 -k52 -M0.77904 -Q99 -G4 -D27 -O12 -L22 +49 -K5 -k76 -M0.43483 -Q43 -G23 -D55 -O9 -L54 +61 -K6 -k65 -M0.46705 -Q44 -G15 -D72 -O19 -L58 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 09:50:49 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-9.txt b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-9.txt new file mode 100644 index 000000000..71ba83b47 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/resultados-completos/result-irace-9.txt @@ -0,0 +1,256 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-16 06:57:35 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 5 +# minNbSurvival: 5 +# nbParameters: 8 +# seed: 1731719481 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-16 06:57:35 -03: Iteration 1 of 5 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 100 +# nbConfigurations: 16 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 16| 3| 300.0000000| 16|00:04:30| NA| NA| NA| +|x| 2| 16| 4| 400.0156930| 32|00:04:29|+0.54|0.77|0.5292| +|x| 3| 16| 10| 672.0932767| 48|00:04:10|+0.57|0.71|0.4576| +|x| 4| 16| 10| 629.0800840| 64|00:04:29|+0.62|0.72|0.3898| +|-| 5| 6| 11| 564.0004906| 80|00:04:29|-0.08|0.13|0.6942| +|=| 6| 6| 4| 671.7721985| 86|00:03:30|-0.12|0.06|0.7491| +|=| 7| 6| 4| 647.2498061| 92|00:04:27|-0.05|0.10|0.7442| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 647.2498061 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 4 32 0.18992 87 70 94 20 13 NA + +# 2023-08-16 07:27:44 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 4 32 0.18992 87 70 94 20 13 +11 6 20 0.80691 55 50 62 2 63 +13 4 15 0.88136 89 60 25 16 56 +9 6 93 0.48868 76 76 69 24 34 +10 3 116 0.68595 63 17 28 65 46 +# 2023-08-16 07:27:44 -03: Iteration 2 of 5 +# experimentsUsedSoFar: 92 +# remainingBudget: 408 +# currentBudget: 102 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 18| 1203.438831| 17|00:06:06| NA| NA| NA| +|x| 7| 17| 17| 856.8692205| 29|00:04:29|-0.28|0.36|1.1800| +|x| 4| 17| 13| 735.2323763| 41|00:04:30|-0.03|0.32|0.9509| +|x| 5| 17| 13| 626.4242823| 53|00:04:30|+0.02|0.26|0.8954| +|=| 6| 17| 13| 745.5368502| 65|00:03:59|+0.07|0.26|0.8653| +|=| 2| 17| 4| 703.6622167| 77|00:04:29|+0.13|0.27|0.8121| +|=| 3| 17| 4| 777.8120821| 89|00:04:02|+0.05|0.19|0.9103| +|=| 1| 17| 4| 718.0855719| 101|00:04:30|+0.05|0.17|0.8841| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 718.0855719 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 4 32 0.18992 87 70 94 20 13 NA + +# 2023-08-16 08:04:22 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 4 32 0.18992 87 70 94 20 13 +13 4 15 0.88136 89 60 25 16 56 +19 6 6 0.87297 77 28 69 1 31 +11 6 20 0.80691 55 50 62 2 63 +9 6 93 0.48868 76 76 69 24 34 +# 2023-08-16 08:04:22 -03: Iteration 3 of 5 +# experimentsUsedSoFar: 193 +# remainingBudget: 307 +# currentBudget: 102 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 15| 4| 300.0000000| 15|00:06:00| NA| NA| NA| +|x| 5| 15| 4| 300.0000000| 25|00:03:45|+1.00|1.00|0.0014| +|x| 4| 15| 11| 366.6721537| 35|00:03:44|+0.38|0.59|0.6415| +|x| 3| 15| 11| 579.9735050| 45|00:03:12|+0.39|0.55|0.7061| +|-| 2| 7| 19| 560.4068512| 55|00:03:45|-0.01|0.19|0.4836| +|=| 1| 7| 19| 517.0057093| 57|00:03:44|-0.01|0.16|0.4081| +|=| 7| 7| 11| 517.1593280| 59|00:03:36|-0.09|0.07|0.5220| +|=| 6| 7| 4| 603.8435804| 61|00:02:37|-0.02|0.10|0.5418| +|=| 8| 7| 4| 671.6316194| 63|00:02:26|+0.01|0.12|0.5627| +|=| 10| 7| 4| 634.4684575| 70|00:04:30|+0.01|0.10|0.5073| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 634.4684575 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +4 4 4 32 0.18992 87 70 94 20 13 NA + +# 2023-08-16 08:41:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +4 4 32 0.18992 87 70 94 20 13 +19 6 6 0.87297 77 28 69 1 31 +11 6 20 0.80691 55 50 62 2 63 +9 6 93 0.48868 76 76 69 24 34 +13 4 15 0.88136 89 60 25 16 56 +# 2023-08-16 08:41:46 -03: Iteration 4 of 5 +# experimentsUsedSoFar: 263 +# remainingBudget: 237 +# currentBudget: 118 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 15| 41| 1206.666220| 15|00:05:42| NA| NA| NA| +|x| 8| 15| 19| 1206.904886| 25|00:03:48|-0.09|0.46|1.1216| +|x| 1| 15| 19| 904.6032570| 35|00:04:29|-0.04|0.30|0.6850| +|x| 6| 15| 19| 983.8599595| 45|00:03:52|+0.05|0.29|0.7236| +|=| 10| 15| 19| 847.0879676| 55|00:04:29|+0.04|0.23|0.5742| +|=| 2| 15| 19| 789.2478722| 65|00:04:27|+0.08|0.24|0.5820| +|=| 3| 15| 19| 848.2016770| 75|00:03:52|+0.02|0.16|0.6189| +|=| 4| 15| 19| 804.6842618| 85|00:04:26|+0.09|0.20|0.6067| +|=| 9| 15| 19| 748.6082327| 95|00:04:30|+0.08|0.18|0.5497| +|-| 7| 8| 19| 723.7655635| 105|00:04:28|-0.00|0.10|0.5679| +|=| 5| 8| 19| 685.2414214| 108|00:03:44|-0.00|0.09|0.5203| +|=| 12| 8| 19| 669.8083773| 116|00:04:29|-0.03|0.06|0.5746| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 669.8083773 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 6 0.87297 77 28 69 1 31 11 + +# 2023-08-16 09:34:09 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 6 0.87297 77 28 69 1 31 +13 4 15 0.88136 89 60 25 16 56 +4 4 32 0.18992 87 70 94 20 13 +11 6 20 0.80691 55 50 62 2 63 +9 6 93 0.48868 76 76 69 24 34 +# 2023-08-16 09:34:09 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 379 +# remainingBudget: 121 +# currentBudget: 121 +# nbConfigurations: 13 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 13| 19| 300.0000000| 13|00:06:44| NA| NA| NA| +|x| 11| 13| 19| 753.4111105| 21|00:03:49|+0.00|0.50|0.4615| +|x| 12| 13| 19| 668.9557043| 29|00:04:30|+0.24|0.50|0.5855| +|x| 7| 13| 56| 630.4691618| 37|00:04:30|+0.05|0.29|0.7118| +|=| 2| 13| 56| 604.3799918| 45|00:04:29|+0.00|0.20|0.7753| +|=| 9| 13| 56| 553.6499932| 53|00:04:29|+0.00|0.17|0.6399| +|=| 4| 13| 56| 546.0098231| 61|00:04:29|-0.04|0.11|0.7008| +|=| 1| 13| 56| 515.2585952| 69|00:04:30|-0.03|0.10|0.6080| +|=| 3| 13| 19| 589.8981011| 77|00:03:45|+0.01|0.12|0.6170| +|=| 8| 13| 19| 651.6070460| 85|00:03:36|+0.06|0.16|0.6287| +|=| 5| 13| 19| 619.6427691| 93|00:04:30|+0.06|0.14|0.5732| +|=| 10| 13| 19| 593.0058717| 101|00:04:30|+0.05|0.13|0.5266| +|=| 6| 13| 19| 641.3615790| 109|00:03:55|+0.05|0.12|0.5722| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 641.3615790 +Description of the best-so-far configuration: + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 6 0.87297 77 28 69 1 31 11 + +# 2023-08-16 10:32:01 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 6 0.87297 77 28 69 1 31 +52 5 19 0.91550 73 17 56 0 36 +9 6 93 0.48868 76 76 69 24 34 +13 4 15 0.88136 89 60 25 16 56 +11 6 20 0.80691 55 50 62 2 63 +# 2023-08-16 10:32:01 -03: Stopped because there is not enough budget left to race more than the minimum (5) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 488 +# timeUsed: 0 +# remainingBudget: 12 +# currentBudget: 12 +# number of elites: 5 +# nbConfigurations: 5 +# Total CPU user time: 89586.62, CPU sys time: 11.058, Wall-clock time: 12865.83 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal +19 6 6 0.87297 77 28 69 1 31 +52 5 19 0.91550 73 17 56 0 36 +9 6 93 0.48868 76 76 69 24 34 +13 4 15 0.88136 89 60 25 16 56 +11 6 20 0.80691 55 50 62 2 63 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +19 -K6 -k6 -M0.87297 -Q77 -G28 -D69 -O1 -L31 +52 -K5 -k19 -M0.9155 -Q73 -G17 -D56 -O0 -L36 +9 -K6 -k93 -M0.48868 -Q76 -G76 -D69 -O24 -L34 +13 -K4 -k15 -M0.88136 -Q89 -G60 -D25 -O16 -L56 +11 -K6 -k20 -M0.80691 -Q55 -G50 -D62 -O2 -L63 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-16 10:32:01 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/results-island-model/results-6-migrations/results/results-evol-1-25.txt b/src/irace/results/results-island-model/results-6-migrations/results/results-evol-1-25.txt new file mode 100644 index 000000000..e47b17761 --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/results/results-evol-1-25.txt @@ -0,0 +1,53 @@ +# 2 ilhas +./evol -K 5 -k 91 -M 0.45432 -Q 62 -G 41 -D 75 -O 7 -L 27 -A 2 +[DE, PSO] + +# 3 ilhas +./evol -K 3 -k 40 -M 0.50308 -Q 77 -G 25 -D 58 -O 12 -L 5 -A 3 +[PSO, PSO, DE] + +# 4 ilhas +./evol -K 5 -k 33 -M 0.63752 -Q 96 -G 20 -D 94 -O 8 -L 1 -A 4 +[PSO, PSO, DE, DE] + +# 5 ilhas +./evol -K 4 -k 13 -M 0.74775 -Q 48 -G 34 -D 73 -O 56 -L 65 -A 5 +[DE, CLONALG, ACO, PSO, GA] + +# 6 ilhas +./evol -K 5 -k 75 -M 0.53623 -Q 78 -G 18 -D 31 -O 34 -L 50 -A 6 +[PSO, PSO, CLONALG, ACO, DE, GA] + +# 7 ilhas +./evol -K 4 -k 117 -M 0.34365 -Q 50 -G 66 -D 97 -O 65 -L 82 -A 7 +[DE, DE, CLONALG, CLONALG, GA, ACO, PSO] + + +# 8 ilhas +./evol -K 6 -k 72 -M 0.82492 -Q 93 -G 19 -D 72 -O 11 -L 41 -A 8 +[PSO, PSO, PSO, PSO, DE, DE, CLONALG, GA] + +# 9 ilhas +./evol -K 6 -k 6 -M 0.87297 -Q 77 -G 28 -D 69 -O 1 -L 31 -A 9 +[PSO, PSO, PSO, PSO, DE, DE, DE, CLONALG, GA] + +# 10 ilhas +./evol -K 5 -k 19 -M 0.47056 -Q 61 -G 32 -D 19 -O 89 -L 95 -A 10 +[CLONALG, CLONALG, CLONALG, ACO, ACO, ACO, PSO, PSO, GA, DE] + +# 11 ilhas +./evol -K 6 -k 7 -M 0.68644 -Q 35 -G 20 -D 16 -O 36 -L 95 -A 11 +[CLONALG, CLONALG, CLONALG, CLONALG, CLONALG, ACO, ACO, PSO, PSO, GA, DE] + +# 12 ilhas +./evol -K 6 -k 113 -M 0.76578 -Q 84 -G 1 -D 54 -O 27 -L 64 -A 12 +[PSO, PSO, PSO, PSO, PSO, CLONALG, CLONALG, CLONALG, DE, DE, DE, ACO] + +# 13 ilhas +./evol -K 6 -k 104 -M 0.70817 -Q 41 -G 93 -D 37 -O 94 -L 42 -A 13 +[ACO, ACO, ACO, ACO, GA, GA, GA, GA, CLONALG, CLONALG, PSO, PSO, DE] + +# 14 ilhas +./evol -K 6 -k 59 -M 0.38974 -Q 98 -G 91 -D 31 -O 13 -L 16 -A 14 +[PSO, PSO, PSO, PSO, PSO, PSO, GA, GA, GA, GA, GA, DE, DE, CLONALG] + diff --git a/src/irace/results/results-island-model/results-6-migrations/results/results-irace-1-25.txt b/src/irace/results/results-island-model/results-6-migrations/results/results-irace-1-25.txt new file mode 100644 index 000000000..6df9acf7f --- /dev/null +++ b/src/irace/results/results-island-model/results-6-migrations/results/results-irace-1-25.txt @@ -0,0 +1,52 @@ +# 2 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +51 51 5 91 0.45432 62 41 75 7 27 42 + +# 3 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +56 56 3 40 0.50308 77 25 58 12 5 29 + +# 4 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +50 50 5 33 0.63752 96 20 94 8 1 24 + +# 5 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +29 29 4 13 0.74775 48 34 73 56 65 14 + +# 6 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +41 41 5 75 0.53623 78 18 31 34 50 35 + +# 7 ilhas + .ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +13 13 4 117 0.34365 50 66 97 65 82 NA + +# 8 ilhas +ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +55 55 6 72 0.82492 93 19 72 11 41 48 + +# 9 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +19 19 6 6 0.87297 77 28 69 1 31 11 + +# 10 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 5 19 0.47056 61 32 19 89 95 NA + +# 11 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 7 0.68644 35 20 16 36 95 NA + +# 12 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +52 52 6 113 0.76578 84 1 54 27 64 24 + +# 13 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +12 12 6 104 0.70817 41 93 37 94 42 NA + +# 14 ilhas +.ID. num_migrations migration_size random_random num_pso num_genetico num_diferencial num_aco num_clonal .PARENT. +56 56 6 59 0.38974 98 91 31 13 16 15 + diff --git a/src/irace/results/results-parameter-num_generations/result-irace-ACO.txt b/src/irace/results/results-parameter-num_generations/result-irace-ACO.txt new file mode 100644 index 000000000..f0fd554d3 --- /dev/null +++ b/src/irace/results/results-parameter-num_generations/result-irace-ACO.txt @@ -0,0 +1,203 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 15:26:26 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 4 +# minNbSurvival: 4 +# nbParameters: 4 +# seed: 306770139 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 15:26:26 -03: Iteration 1 of 4 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 125 +# nbConfigurations: 20 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 20| 18| 500.3401440| 20|00:00:19| NA| NA| NA| +|x| 2| 20| 18| 404.0624055| 40|00:00:20|-0.26|0.37|1.0031| +|x| 3| 20| 18| 711.1916007| 60|00:00:20|-0.17|0.22|0.9778| +|x| 4| 20| 18| 842.0703920| 80|00:00:19|-0.03|0.23|0.8051| +|=| 5| 20| 18| 773.7881158| 100|00:00:19|+0.07|0.26|0.7450| +|=| 6| 20| 18| 696.2704018| 120|00:00:20|+0.07|0.22|0.7637| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 696.2704018 +Description of the best-so-far configuration: + .ID. num_ant num_candidates tax_evaporate num_generations .PARENT. +18 18 2828 20 0.63855 423 NA + +# 2023-09-06 15:28:26 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_ant num_candidates tax_evaporate num_generations +18 2828 20 0.63855 423 +17 9089 22 0.24605 81 +5 3402 14 0.80838 430 +19 1633 25 0.28441 499 +# 2023-09-06 15:28:26 -03: Iteration 2 of 4 +# experimentsUsedSoFar: 120 +# remainingBudget: 380 +# currentBudget: 126 +# nbConfigurations: 21 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 21| 22| 500.7912510| 21|00:00:19| NA| NA| NA| +|x| 1| 21| 22| 500.8213155| 38|00:00:20|+0.13|0.57|0.6809| +|x| 2| 21| 18| 436.3161523| 55|00:00:20|+0.20|0.46|0.7254| +|x| 4| 21| 18| 635.9138058| 72|00:00:19|+0.13|0.35|0.7430| +|=| 3| 21| 18| 773.8210428| 89|00:00:20|+0.08|0.27|0.8305| +|=| 6| 21| 37| 697.3363748| 106|00:00:20|+0.07|0.22|0.8599| +|=| 5| 21| 18| 668.3494367| 123|00:00:19|+0.07|0.21|0.8445| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 668.3494367 +Description of the best-so-far configuration: + .ID. num_ant num_candidates tax_evaporate num_generations .PARENT. +18 18 2828 20 0.63855 423 NA + +# 2023-09-06 15:30:46 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_ant num_candidates tax_evaporate num_generations +18 2828 20 0.63855 423 +37 7908 20 0.30976 216 +35 7106 21 0.63107 337 +17 9089 22 0.24605 81 +# 2023-09-06 15:30:46 -03: Iteration 3 of 4 +# experimentsUsedSoFar: 243 +# remainingBudget: 257 +# currentBudget: 128 +# nbConfigurations: 19 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 19| 49| 306.8411880| 19|00:00:19| NA| NA| NA| +|x| 4| 19| 18| 770.8630270| 34|00:00:19|-0.05|0.47|0.8937| +|x| 7| 19| 18| 680.8499000| 49|00:00:20|+0.15|0.43|0.7254| +|x| 3| 19| 18| 841.9999227| 64|00:00:19|+0.28|0.46|0.6416| +|-| 6| 13| 39| 728.9742416| 79|00:00:20|-0.03|0.18|0.9301| +|=| 5| 13| 39| 690.9505670| 88|00:00:09|+0.08|0.23|0.8429| +|=| 2| 13| 18| 640.7321716| 97|00:00:10|+0.04|0.17|0.8942| +|=| 1| 13| 18| 623.1831681| 106|00:00:09|+0.07|0.19|0.8436| +|=| 9| 13| 18| 703.1308807| 119|00:00:19|+0.03|0.14|0.9027| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 703.1308807 +Description of the best-so-far configuration: + .ID. num_ant num_candidates tax_evaporate num_generations .PARENT. +18 18 2828 20 0.63855 423 NA + +# 2023-09-06 15:33:16 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_ant num_candidates tax_evaporate num_generations +18 2828 20 0.63855 423 +39 4460 22 0.56934 559 +37 7908 20 0.30976 216 +17 9089 22 0.24605 81 +# 2023-09-06 15:33:16 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 362 +# remainingBudget: 138 +# currentBudget: 138 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 17| 64| 306.7602400| 17|00:00:20| NA| NA| NA| +|x| 5| 17| 64| 403.7384640| 30|00:00:19|-0.05|0.48|0.9338| +|x| 3| 17| 18| 711.2542237| 43|00:00:19|-0.07|0.28|0.9983| +|x| 7| 17| 18| 658.6465792| 56|00:00:19|+0.05|0.29|0.8926| +|=| 9| 17| 59| 785.3654414| 69|00:00:20|+0.01|0.21|0.9566| +|=| 8| 17| 18| 714.0530310| 82|00:00:20|-0.01|0.16|0.9724| +|=| 2| 17| 18| 656.0146933| 95|00:00:19|+0.02|0.16|0.9322| +|=| 4| 17| 18| 728.3512024| 108|00:00:20|+0.05|0.17|0.9076| +|=| 6| 17| 18| 681.7212723| 121|00:00:20|+0.04|0.14|0.9267| +|=| 1| 17| 18| 663.5831595| 134|00:00:19|+0.07|0.16|0.8880| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 18 mean value: 663.5831595 +Description of the best-so-far configuration: + .ID. num_ant num_candidates tax_evaporate num_generations .PARENT. +18 18 2828 20 0.63855 423 NA + +# 2023-09-06 15:36:36 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_ant num_candidates tax_evaporate num_generations +18 2828 20 0.63855 423 +39 4460 22 0.56934 559 +37 7908 20 0.30976 216 +65 3175 22 0.68495 452 +# 2023-09-06 15:36:36 -03: Stopped because there is not enough budget left to race more than the minimum (4) +# You may either increase the budget or set 'minNbSurvival' to a lower valuec34450a +# Iteration: 5 +# nbIterations: 5 +# experimentsUsedSoFar: 496 +# timeUsed: 0 +# remainingBudget: 4 +# currentBudget: 4 +# number of elites: 4 +# nbConfigurations: 4 +# Total CPU user time: 4707.166, CPU sys time: 4.272, Wall-clock time: 609.627 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + num_ant num_candidates tax_evaporate num_generations +18 2828 20 0.63855 423 +39 4460 22 0.56934 559 +37 7908 20 0.30976 216 +65 3175 22 0.68495 452 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +18 -a2828 -c20 -e0.63855 -g423 +39 -a4460 -c22 -e0.56934 -g559 +37 -a7908 -c20 -e0.30976 -g216 +65 -a3175 -c22 -e0.68495 -g452 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 15:36:36 -03: No test instances, skip testing diff --git a/src/irace/results/results-parameter-num_generations/result-irace-CLONAL.txt b/src/irace/results/results-parameter-num_generations/result-irace-CLONAL.txt new file mode 100644 index 000000000..d34b90b31 --- /dev/null +++ b/src/irace/results/results-parameter-num_generations/result-irace-CLONAL.txt @@ -0,0 +1,203 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/ircIC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 15:22:23 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 3 +# minNbSurvival: 3 +# nbParameters: 3 +# seed: 1202787985 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 15:22:23 -03: Iteration 1 of 3 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 166 +# nbConfigurations: 27 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 27| 14| 1233.386744| 27|00:00:30| NA| NA| NA| +|x| 2| 27| 14| 867.1283755| 54|00:00:30|-0.14|0.43|1.0216| +|x| 3| 27| 14| 679.4017307| 81|00:00:34|-0.02|0.32|0.9017| +|x| 4| 27| 14| 586.0696810| 108|00:00:34|+0.11|0.34|0.7984| +|=| 5| 27| 14| 569.0665656| 135|00:00:31|-0.04|0.17|0.9596| +|=| 6| 27| 14| 679.8622267| 162|00:00:30|+0.02|0.19|0.9222| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 14 mean value: 679.8622267 +Description of the best-so-far configuration: + .ID. population_size clones num_generations .PARENT. +14 14 153 74 621 NA + +# 2023-09-06 15:25:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size clones num_generations +14 153 74 621 +6 1254 29 445 +11 1543 28 377 +# 2023-09-06 15:25:35 -03: Iteration 2 of 3 +# experimentsUsedSoFar: 162 +# remainingBudget: 338 +# currentBudget: 169 +# nbConfigurations: 26 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 26| 43| 303.5469760| 26|00:00:31| NA| NA| NA| +|x| 5| 26| 49| 402.3381275| 49|00:00:20|+0.32|0.66|0.5990| +|x| 3| 26| 49| 370.1855880| 72|00:00:23|+0.31|0.54|0.5961| +|x| 6| 26| 49| 587.2388107| 95|00:00:20|+0.29|0.46|0.6881| +|-| 4| 10| 49| 530.3367922| 118|00:00:23|+0.12|0.29|0.8217| +|=| 2| 10| 49| 525.3258813| 125|00:00:09|+0.16|0.30|0.7616| +|-| 1| 7| 49| 626.0591149| 132|00:00:09|-0.00|0.14|0.8792| +|=| 8| 7| 49| 701.4296686| 139|00:00:10|-0.06|0.08|0.8796| +|=| 9| 7| 49| 679.1147309| 146|00:00:10|-0.05|0.07|0.8910| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 679.1147309 +Description of the best-so-far configuration: + .ID. population_size clones num_generations .PARENT. +49 49 66 90 730 14 + +# 2023-09-06 15:28:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size clones num_generations +49 66 90 730 +41 46 72 615 +43 48 82 689 +# 2023-09-06 15:28:14 -03: Iteration 3 of 3 +# experimentsUsedSoFar: 308 +# remainingBudget: 192 +# currentBudget: 192 +# nbConfigurations: 21 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 21| 62| 500.4613180| 21|00:00:20| NA| NA| NA| +|x| 4| 21| 62| 402.9091865| 39|00:00:20|+0.09|0.54|0.8869| +|x| 9| 21| 41| 435.4371820| 57|00:00:19|+0.25|0.50|0.7110| +|x| 6| 21| 43| 632.9488477| 75|00:00:19|+0.17|0.37|0.8111| +|=| 8| 21| 64| 754.4817298| 93|00:00:20|+0.12|0.30|0.8693| +|-| 7| 15| 49| 679.2913872| 111|00:00:20|-0.03|0.14|0.9612| +|=| 5| 15| 49| 653.7444277| 123|00:00:09|+0.01|0.15|0.9219| +|=| 3| 15| 53| 610.4206488| 135|00:00:10|+0.04|0.16|0.9091| +|=| 2| 15| 49| 598.0403144| 147|00:00:09|+0.06|0.17|0.8828| +|=| 1| 15| 49| 661.2821346| 159|00:00:09|+0.06|0.16|0.8823| +|=| 11| 15| 49| 713.8380892| 174|00:00:18|+0.04|0.12|0.9094| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 49 mean value: 713.8380892 +Description of the best-so-far configuration: + .ID. population_size clones num_generations .PARENT. +49 49 66 90 730 14 + +# 2023-09-06 15:31:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size clones num_generations +49 66 90 730 +41 46 72 615 +53 119 81 681 +# 2023-09-06 15:31:13 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 482 +# remainingBudget: 18 +# currentBudget: 18 +# nbConfigurations: 4 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 4| 41| 303.7715800| 4|00:00:10| NA| NA| NA| +|x| 5| 4| 49| 402.9561825| 5|00:00:09|-0.40|0.30|0.8107| +|x| 3| 4| 41| 369.5048227| 6|00:00:10|+0.13|0.42|0.5025| +|x| 8| 4| 41| 583.3618665| 7|00:00:09|+0.23|0.42|0.5664| +|=| 10| 4| 41| 566.8233536| 8|00:00:10|+0.28|0.42|0.5800| +|-| 9| 3| 41| 555.7448233| 9|00:00:10|+0.23|0.36|0.5475| +|.| 11| 3| 41| 652.6129140| 9|00:00:00|+0.21|0.33|0.5490| +|.| 6| 3| 41| 728.4879308| 9|00:00:00|+0.02|0.14|0.6563| +|.| 4| 3| 41| 681.4659464| 9|00:00:00|-0.03|0.09|0.7033| +|.| 7| 3| 41| 644.0349600| 9|00:00:00|-0.07|0.04|0.7228| +|.| 1| 3| 41| 697.0055801| 9|00:00:00|-0.04|0.06|0.7171| +|.| 2| 3| 41| 680.6267493| 9|00:00:00|-0.04|0.05|0.7111| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 41 mean value: 680.6267493 +Description of the best-so-far configuration: + .ID. population_size clones num_generations .PARENT. +41 41 46 72 615 14 + +# 2023-09-06 15:32:13 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size clones num_generations +41 46 72 615 +49 66 90 730 +53 119 81 681 +# 2023-09-06 15:32:13 -03: Stopped because there is not enough budget left to race more than the minimum (3) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 5 +# nbIterations: 5 +# experimentsUsedSoFar: 491 +# timeUsed: 0 +# remainingBudget: 9 +# currentBudget: 9 +# number of elites: 3 +# nbConfigurations: 3 +# Total CPU user time: 5017.514, CPU sys time: 9.825, Wall-clock time: 589.272 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size clones num_generations +41 46 72 615 +49 66 90 730 +53 119 81 681 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +41 -p46 -c72 -g615 +49 -p66 -c90 -g730 +53 -p119 -c81 -g681 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 15:32:13 -03: No test instances, skip testing diff --git a/src/irace/results/results-parameter-num_generations/result-irace-DE.txt b/src/irace/results/results-parameter-num_generations/result-irace-DE.txt new file mode 100644 index 000000000..f3efdc76d --- /dev/null +++ b/src/irace/results/results-parameter-num_generations/result-irace-DE.txt @@ -0,0 +1,251 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 15:49:41 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 4 +# minNbSurvival: 4 +# nbParameters: 4 +# seed: 290396983 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 15:49:41 -03: Iteration 1 of 4 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 125 +# nbConfigurations: 20 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 20| 2| 500.7792320| 20|00:00:19| NA| NA| NA| +|x| 2| 20| 18| 403.4288670| 40|00:00:20|-0.18|0.41|1.3276| +|x| 3| 20| 19| 680.9807903| 60|00:00:19|+0.13|0.42|1.0082| +|x| 4| 20| 19| 817.5286255| 80|00:00:19|+0.26|0.44|0.8014| +|-| 5| 7| 19| 715.4099626| 100|00:00:20|+0.08|0.26|0.8245| +|=| 6| 7| 19| 679.6499787| 107|00:00:09|+0.16|0.30|0.7660| +|-| 7| 2| 19| 654.1040564| 114|00:00:10|-0.14|0.02|0.5714| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 19 mean value: 654.1040564 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial num_generations .PARENT. +19 19 2827 11 0.32804 631 NA + +# 2023-09-06 15:51:41 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +19 2827 11 0.32804 631 +3 749 4 0.64804 423 +# 2023-09-06 15:51:41 -03: Iteration 2 of 4 +# experimentsUsedSoFar: 114 +# remainingBudget: 386 +# currentBudget: 128 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 17| 28| 304.6625580| 17|00:00:20| NA| NA| NA| +|x| 2| 17| 28| 304.9549470| 32|00:00:19|+0.29|0.65|0.5220| +|x| 7| 17| 34| 370.9062297| 47|00:00:19|+0.21|0.47|0.8097| +|x| 5| 17| 3| 354.6873855| 62|00:00:20|+0.27|0.45|0.7066| +|-| 4| 8| 3| 530.8392180| 77|00:00:17|-0.04|0.17|0.9386| +|=| 3| 8| 34| 646.6136988| 83|00:00:09|+0.06|0.22|0.8317| +|=| 6| 8| 35| 626.3117267| 89|00:00:10|+0.09|0.22|0.8257| +|=| 1| 8| 34| 610.1756339| 95|00:00:10|+0.05|0.17|0.8552| +|=| 9| 8| 34| 679.0316524| 103|00:00:09|+0.07|0.18|0.8089| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 679.0316524 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial num_generations .PARENT. +34 34 1789 4 0.92132 703 3 + +# 2023-09-06 15:53:58 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +34 1789 4 0.92132 703 +35 3487 6 0.27817 367 +3 749 4 0.64804 423 +33 2255 14 0.47831 607 +# 2023-09-06 15:53:58 -03: Iteration 3 of 4 +# experimentsUsedSoFar: 217 +# remainingBudget: 283 +# currentBudget: 141 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 17| 37| 1226.365145| 17|00:00:13| NA| NA| NA| +|x| 7| 17| 3| 866.3083405| 30|00:00:14|+0.11|0.56|0.8222| +|x| 3| 17| 34| 987.3101823| 43|00:00:10|+0.36|0.57|0.6242| +|x| 5| 17| 3| 817.0470292| 56|00:00:20|+0.34|0.50|0.6927| +|-| 6| 9| 3| 753.8100020| 69|00:00:14|+0.04|0.23|0.8686| +|=| 8| 9| 3| 679.1876495| 74|00:00:10|-0.01|0.16|0.8440| +|=| 2| 9| 46| 626.1230249| 79|00:00:09|-0.02|0.12|0.8090| +|=| 9| 9| 46| 702.1711165| 84|00:00:09|+0.00|0.13|0.8173| +|=| 1| 9| 34| 679.1018848| 89|00:00:10|+0.01|0.12|0.8202| +|=| 4| 9| 34| 734.4135624| 94|00:00:09|+0.02|0.12|0.8313| +|=| 11| 9| 34| 713.1636463| 103|00:00:09|+0.05|0.14|0.7997| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 34 mean value: 713.1636463 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial num_generations .PARENT. +34 34 1789 4 0.92132 703 3 + +# 2023-09-06 15:56:10 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +34 1789 4 0.92132 703 +46 167 2 0.46801 557 +40 2371 2 0.83538 622 +3 749 4 0.64804 423 +# 2023-09-06 15:56:10 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 320 +# remainingBudget: 180 +# currentBudget: 180 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 18| 57| 304.5877170| 18|00:00:20| NA| NA| NA| +|x| 9| 18| 62| 766.9294135| 32|00:00:17|+0.01|0.51|0.9249| +|x| 3| 18| 62| 922.1939863| 46|00:00:17|+0.14|0.43|0.7455| +|x| 2| 18| 62| 768.1380110| 60|00:00:19|+0.20|0.40|0.7169| +|-| 10| 12| 62| 860.9049870| 74|00:00:16|-0.01|0.19|1.0201| +|=| 1| 12| 34| 800.8308668| 82|00:00:09|-0.03|0.14|1.0145| +|=| 7| 12| 62| 758.0290284| 90|00:00:09|-0.04|0.10|1.0205| +|=| 4| 12| 62| 816.6067278| 98|00:00:09|-0.02|0.11|0.9812| +|=| 5| 12| 62| 759.9932130| 106|00:00:10|-0.05|0.07|0.9947| +|=| 8| 12| 62| 714.5577680| 114|00:00:10|-0.02|0.08|0.9659| +|=| 11| 12| 34| 695.5352653| 122|00:00:09|-0.01|0.08|0.9540| +|=| 6| 12| 34| 679.3172738| 130|00:00:09|+0.00|0.09|0.9347| +|=| 13| 12| 46| 722.4870935| 142|00:00:09|-0.00|0.08|0.9297| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 46 mean value: 722.4870935 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial num_generations .PARENT. +46 46 167 2 0.46801 557 3 + +# 2023-09-06 15:59:00 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +46 167 2 0.46801 557 +61 1401 11 0.87142 723 +34 1789 4 0.92132 703 +62 1832 0 0.80760 656 +# 2023-09-06 15:59:00 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 462 +# remainingBudget: 38 +# currentBudget: 38 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 6| 46| 305.0347810| 6|00:00:10| NA| NA| NA| +|x| 4| 6| 63| 768.1626400| 8|00:00:08|-0.83|0.09|1.5446| +|x| 1| 6| 63| 679.0446247| 10|00:00:09|-0.37|0.09|1.1341| +|x| 12| 6| 46| 587.3585867| 12|00:00:10|-0.16|0.13|1.0038| +|=| 5| 6| 46| 530.7836412| 14|00:00:10|-0.05|0.16|0.8801| +|=| 3| 6| 46| 647.3245542| 16|00:00:09|+0.02|0.18|0.8244| +|=| 11| 6| 46| 626.3863343| 18|00:00:09|+0.02|0.16|0.8165| +|=| 10| 6| 34| 701.8715774| 20|00:00:09|-0.05|0.08|0.8868| +|=| 13| 6| 64| 760.4328472| 22|00:00:09|-0.03|0.09|0.8688| +|=| 6| 6| 46| 735.5498599| 24|00:00:09|+0.02|0.12|0.8258| +|=| 7| 6| 46| 714.2215109| 26|00:00:09|-0.04|0.06|0.8714| +|=| 8| 6| 46| 680.0502645| 28|00:00:10|-0.02|0.06|0.8549| +|=| 9| 6| 64| 721.4107009| 30|00:00:08|-0.04|0.04|0.8703| +|=| 2| 6| 64| 691.7180377| 32|00:00:09|-0.02|0.05|0.8551| +|=| 15| 6| 64| 678.9871236| 38|00:00:09|-0.03|0.04|0.8682| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 64 mean value: 678.9871236 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial num_generations .PARENT. +64 64 1665 5 0.82787 676 61 + +# 2023-09-06 16:01:23 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +64 1665 5 0.82787 676 +46 167 2 0.46801 557 +61 1401 11 0.87142 723 +34 1789 4 0.92132 703 +# 2023-09-06 16:01:23 -03: Stopped because budget is exhausted +# Iteration: 6 +# nbIterations: 5 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 38 +# number of elites: 4 +# nbConfigurations: 6 +# Total CPU user time: 4530.637, CPU sys time: 5.241, Wall-clock time: 701.645 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial num_generations +64 1665 5 0.82787 676 +46 167 2 0.46801 557 +61 1401 11 0.87142 723 +34 1789 4 0.92132 703 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +64 -p1665 -m5 -F0.82787 -g676 +46 -p167 -m2 -F0.46801 -g557 +61 -p1401 -m11 -F0.87142 -g723 +34 -p1789 -m4 -F0.92132 -g703 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 16:01:23 -03: No test instances, skip testing diff --git a/src/irace/results/results-parameter-num_generations/result-irace-GA.txt b/src/irace/results/results-parameter-num_generations/result-irace-GA.txt new file mode 100644 index 000000000..7aaf2687e --- /dev/null +++ b/src/irace/results/results-parameter-num_generations/result-irace-GA.txt @@ -0,0 +1,253 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 15:13:15 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 4 +# minNbSurvival: 4 +# nbParameters: 4 +# seed: 641120523 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 15:13:15 -03: Iteration 1 of 4 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 125 +# nbConfigurations: 20 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 20| 17| 500.7323460| 20|00:00:20| NA| NA| NA| +|x| 2| 20| 16| 863.5475280| 40|00:00:19|+0.40|0.70|0.5759| +|x| 3| 20| 12| 678.1905787| 60|00:00:20|+0.29|0.53|0.6766| +|x| 4| 20| 16| 816.9622010| 80|00:00:20|+0.40|0.55|0.5772| +|-| 5| 8| 16| 715.1887450| 100|00:00:20|+0.06|0.25|0.7519| +|=| 6| 8| 16| 679.4521733| 108|00:00:10|+0.10|0.25|0.7438| +|-| 7| 4| 16| 653.9530116| 116|00:00:10|-0.07|0.09|0.7742| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 16 mean value: 653.9530116 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate num_generations .PARENT. +16 16 7751 18 13 551 NA + +# 2023-09-06 15:15:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +16 7751 18 13 551 +15 1023 63 66 134 +12 570 29 94 219 +6 5707 17 15 602 +# 2023-09-06 15:15:17 -03: Iteration 2 of 4 +# experimentsUsedSoFar: 116 +# remainingBudget: 384 +# currentBudget: 128 +# nbConfigurations: 19 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 19| 30| 1223.778559| 19|00:00:19| NA| NA| NA| +|x| 7| 19| 33| 863.4975275| 34|00:00:19|+0.53|0.77|0.3458| +|x| 3| 19| 33| 678.0559257| 49|00:00:20|+0.33|0.56|0.6807| +|x| 6| 19| 33| 633.7801188| 64|00:00:19|+0.34|0.50|0.6882| +|-| 4| 11| 33| 753.8512244| 79|00:00:19|-0.04|0.17|0.9532| +|=| 1| 11| 33| 711.6997862| 86|00:00:10|-0.03|0.14|0.9409| +|=| 2| 11| 33| 784.8486489| 93|00:00:09|+0.04|0.18|0.8812| +|=| 5| 11| 33| 725.0728920| 100|00:00:10|+0.05|0.16|0.8738| +|=| 9| 11| 33| 678.7157289| 111|00:00:10|+0.08|0.18|0.8621| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 678.7157289 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate num_generations .PARENT. +33 33 6776 4 24 514 16 + +# 2023-09-06 15:17:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +33 6776 4 24 514 +30 4229 5 24 520 +25 5818 6 18 567 +12 570 29 94 219 +# 2023-09-06 15:17:37 -03: Iteration 3 of 4 +# experimentsUsedSoFar: 227 +# remainingBudget: 273 +# currentBudget: 136 +# nbConfigurations: 17 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 17| 45| 500.5890650| 17|00:00:19| NA| NA| NA| +|x| 7| 17| 45| 500.7845240| 30|00:00:19|+0.15|0.57|0.8754| +|x| 6| 17| 45| 500.7203117| 43|00:00:19|+0.23|0.48|0.7427| +|x| 3| 17| 45| 452.4066065| 56|00:00:20|+0.37|0.52|0.6706| +|-| 9| 8| 45| 423.2852226| 69|00:00:20|+0.23|0.38|0.7550| +|=| 5| 8| 45| 403.5943707| 73|00:00:09|+0.07|0.23|0.8239| +|=| 2| 8| 48| 520.4344246| 77|00:00:09|+0.13|0.25|0.7768| +|=| 8| 8| 45| 608.3997024| 81|00:00:09|+0.13|0.24|0.8197| +|=| 1| 8| 45| 596.4001116| 85|00:00:10|+0.09|0.19|0.8564| +|=| 4| 8| 45| 659.3512170| 89|00:00:09|+0.11|0.20|0.8430| +|-| 11| 5| 45| 627.2434988| 97|00:00:10|-0.05|0.05|0.8449| +|=| 12| 5| 45| 677.1272548| 102|00:00:09|-0.02|0.07|0.8168| +|=| 13| 5| 45| 663.5281508| 107|00:00:10|-0.02|0.06|0.7930| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 663.5281508 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate num_generations .PARENT. +45 45 4519 6 18 463 25 + +# 2023-09-06 15:20:37 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +45 4519 6 18 463 +48 6503 15 13 510 +30 4229 5 24 520 +38 4293 3 14 619 +# 2023-09-06 15:20:37 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 334 +# remainingBudget: 166 +# currentBudget: 166 +# nbConfigurations: 15 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 14| 15| 59| 1224.009862| 15|00:00:19| NA| NA| NA| +|x| 3| 15| 55| 765.7961000| 26|00:00:10|-0.36|0.32|1.1923| +|x| 6| 15| 55| 677.5252113| 37|00:00:09|-0.13|0.24|1.0705| +|x| 11| 15| 55| 584.6879680| 48|00:00:10|-0.04|0.22|1.0005| +|=| 9| 15| 45| 529.9573726| 59|00:00:10|+0.10|0.28|0.8491| +|=| 1| 15| 45| 525.0317080| 70|00:00:09|+0.12|0.27|0.8239| +|-| 10| 9| 45| 521.5399019| 81|00:00:09|-0.02|0.12|0.9102| +|=| 12| 9| 45| 609.5784855| 86|00:00:09|-0.05|0.08|0.9211| +|=| 2| 9| 45| 677.8812421| 91|00:00:10|-0.04|0.07|0.9224| +|=| 5| 9| 45| 640.6071290| 96|00:00:10|-0.03|0.07|0.9116| +|=| 8| 9| 45| 693.3999445| 101|00:00:09|+0.01|0.10|0.8790| +|=| 7| 9| 45| 677.3649477| 106|00:00:10|-0.02|0.07|0.9081| +|=| 4| 9| 45| 719.5608107| 111|00:00:09|-0.03|0.05|0.9146| +|=| 13| 9| 45| 703.9021029| 116|00:00:10|-0.01|0.06|0.8929| +|=| 15| 9| 45| 677.3876065| 125|00:00:10|+0.00|0.07|0.8735| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 45 mean value: 677.3876065 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate num_generations .PARENT. +45 45 4519 6 18 463 25 + +# 2023-09-06 15:23:17 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +45 4519 6 18 463 +55 3589 5 7 489 +51 3888 10 28 437 +38 4293 3 14 619 +# 2023-09-06 15:23:17 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 459 +# remainingBudget: 41 +# currentBudget: 41 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 16| 6| 61| 303.8930300| 6|00:00:09| NA| NA| NA| +|x| 8| 6| 61| 763.0949700| 8|00:00:09|-0.31|0.34|1.3368| +|x| 5| 6| 61| 610.2075460| 10|00:00:10|-0.33|0.11|1.1593| +|x| 2| 6| 61| 763.5826218| 12|00:00:09|-0.11|0.16|1.0082| +|=| 6| 6| 60| 711.5186462| 14|00:00:10|+0.03|0.23|0.8789| +|=| 7| 6| 60| 676.3365922| 16|00:00:09|+0.02|0.18|0.8658| +|=| 3| 6| 60| 623.1790730| 18|00:00:10|+0.11|0.23|0.7827| +|!| 15| 6| 60| 583.2739328| 20|00:00:10|+0.19|0.29|0.7216| +|!| 11| 6| 60| 552.2415503| 22|00:00:09|+0.23|0.32|0.6742| +|!| 9| 6| 60| 527.3422090| 24|00:00:09|+0.28|0.35|0.6211| +|!| 14| 6| 60| 590.4864494| 26|00:00:09|+0.31|0.37|0.6014| +|!| 10| 6| 60| 582.9755677| 28|00:00:10|+0.35|0.40|0.5789| +|!| 1| 6| 60| 576.6209799| 30|00:00:10|+0.37|0.42|0.5728| +|!| 12| 6| 60| 623.0296251| 32|00:00:09|+0.33|0.38|0.6182| +|!| 4| 6| 60| 663.2396094| 34|00:00:10|+0.27|0.32|0.6367| +|-| 13| 2| 60| 653.0545084| 36|00:00:10|+0.00|0.06|0.5000| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 60 mean value: 653.0545084 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate num_generations .PARENT. +60 60 3229 13 8 529 55 + +# 2023-09-06 15:25:57 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +60 3229 13 8 529 +61 3704 0 18 531 +# 2023-09-06 15:25:57 -03: Stopped because there is not enough budget left to race more than the minimum (4) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 495 +# timeUsed: 0 +# remainingBudget: 5 +# currentBudget: 5 +# number of elites: 2 +# nbConfigurations: 2 +# Total CPU user time: 4825.215, CPU sys time: 5.663, Wall-clock time: 762.018 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate num_generations +60 3229 13 8 529 +61 3704 0 18 531 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +60 -p3229 -m13 -c8 -g529 +61 -p3704 -m0 -c18 -g531 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 15:25:57 -03: No test instances, skip testing diff --git a/src/irace/results/results-parameter-num_generations/result-irace-PSO.txt b/src/irace/results/results-parameter-num_generations/result-irace-PSO.txt new file mode 100644 index 000000000..374f19acc --- /dev/null +++ b/src/irace/results/results-parameter-num_generations/result-irace-PSO.txt @@ -0,0 +1,201 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /home/discente/R/x86_64-pc-linux-gnu-library/4.1/irace +# called with: +== irace == WARNING: A default scenario file '/home/discente/Downloads/IC/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-09-06 15:16:16 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 4 +# minNbSurvival: 4 +# nbParameters: 4 +# seed: 1493139158 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-09-06 15:16:16 -03: Iteration 1 of 4 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 125 +# nbConfigurations: 20 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 20| 5| 1221.781230| 20|00:00:09| NA| NA| NA| +|x| 2| 20| 11| 862.0431905| 40|00:00:19|-0.15|0.42|1.0777| +|x| 3| 20| 10| 675.1560477| 60|00:00:20|+0.02|0.35|0.8916| +|x| 4| 20| 3| 631.6065243| 80|00:00:18|+0.15|0.37|0.7793| +|-| 5| 16| 11| 750.2535568| 100|00:00:10|-0.10|0.12|1.0014| +|=| 6| 16| 20| 675.5428352| 116|00:00:20|-0.09|0.09|1.0017| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 20 mean value: 675.5428352 +Description of the best-so-far configuration: + .ID. population_size c1 c2 num_generations .PARENT. +20 20 3424 2.54299 0.69534 614 NA + +# 2023-09-06 15:17:54 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size c1 c2 num_generations +20 3424 2.54299 0.69534 614 +4 3761 2.00694 1.46394 217 +3 6672 0.40338 0.92708 90 +11 8154 0.22426 2.94000 199 +# 2023-09-06 15:17:54 -03: Iteration 2 of 4 +# experimentsUsedSoFar: 116 +# remainingBudget: 384 +# currentBudget: 128 +# nbConfigurations: 21 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 7| 21| 28| 300.3779440| 21|00:00:20| NA| NA| NA| +|x| 4| 21| 31| 400.4554320| 38|00:00:19|+0.07|0.54|0.7481| +|x| 1| 21| 31| 675.8038860| 55|00:00:11|+0.07|0.38|0.8699| +|x| 3| 21| 31| 582.0605645| 72|00:00:19|+0.11|0.33|0.8557| +|=| 5| 21| 31| 709.9950312| 89|00:00:10|+0.06|0.25|0.8720| +|=| 2| 21| 31| 675.0129315| 106|00:00:19|+0.08|0.23|0.8575| +|=| 6| 21| 31| 622.2045326| 123|00:00:20|+0.09|0.22|0.8361| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 622.2045326 +Description of the best-so-far configuration: + .ID. population_size c1 c2 num_generations .PARENT. +31 31 9111 0.61845 0.74494 153 3 + +# 2023-09-06 15:19:55 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size c1 c2 num_generations +31 9111 0.61845 0.74494 153 +35 4515 2.81141 0.50374 617 +20 3424 2.54299 0.69534 614 +28 5566 1.31607 0.87610 253 +# 2023-09-06 15:19:55 -03: Iteration 3 of 4 +# experimentsUsedSoFar: 239 +# remainingBudget: 261 +# currentBudget: 130 +# nbConfigurations: 19 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 19| 51| 500.0580040| 19|00:00:19| NA| NA| NA| +|x| 3| 19| 48| 400.3223250| 34|00:00:20|-0.14|0.43|1.0002| +|x| 4| 19| 48| 433.5564067| 49|00:00:15|-0.07|0.29|0.9081| +|x| 6| 19| 48| 401.5725695| 64|00:00:19|-0.05|0.21|0.9352| +|=| 1| 19| 44| 565.1322082| 79|00:00:08|-0.06|0.15|0.9976| +|=| 2| 19| 44| 554.2859502| 94|00:00:15|-0.02|0.15|0.9152| +|=| 7| 19| 44| 518.6917173| 109|00:00:20|-0.01|0.13|0.9179| +|=| 5| 19| 31| 606.9654753| 124|00:00:08|+0.00|0.13|0.9182| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 606.9654753 +Description of the best-so-far configuration: + .ID. population_size c1 c2 num_generations .PARENT. +31 31 9111 0.61845 0.74494 153 3 + +# 2023-09-06 15:22:03 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size c1 c2 num_generations +31 9111 0.61845 0.74494 153 +44 8589 0.47504 0.62731 95 +47 9005 0.90427 0.40508 219 +52 2256 2.33396 0.44438 592 +# 2023-09-06 15:22:03 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 363 +# remainingBudget: 137 +# currentBudget: 137 +# nbConfigurations: 18 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 9| 18| 53| 1221.769061| 18|00:00:08| NA| NA| NA| +|x| 7| 18| 52| 761.8418555| 32|00:00:19|+0.18|0.59|0.9778| +|x| 8| 18| 52| 674.6262547| 46|00:00:17|+0.19|0.46|0.8671| +|x| 3| 18| 52| 581.4853090| 60|00:00:19|+0.22|0.41|0.8166| +|=| 5| 18| 31| 709.4075734| 74|00:00:06|+0.09|0.27|0.9101| +|=| 1| 18| 55| 796.0783075| 88|00:00:06|+0.06|0.22|0.8961| +|=| 4| 18| 31| 753.3693641| 102|00:00:16|+0.08|0.21|0.8988| +|=| 6| 18| 62| 697.3351867| 116|00:00:19|+0.03|0.15|0.9249| +|=| 2| 18| 31| 675.4491246| 130|00:00:17|+0.03|0.14|0.9301| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 31 mean value: 675.4491246 +Description of the best-so-far configuration: + .ID. population_size c1 c2 num_generations .PARENT. +31 31 9111 0.61845 0.74494 153 3 + +# 2023-09-06 15:24:14 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size c1 c2 num_generations +31 9111 0.61845 0.74494 153 +62 7625 0.54834 0.68940 51 +63 8823 0.17605 0.71659 76 +52 2256 2.33396 0.44438 592 +# 2023-09-06 15:24:14 -03: Stopped because there is not enough budget left to race more than the minimum (4) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 5 +# nbIterations: 5 +# experimentsUsedSoFar: 493 +# timeUsed: 0 +# remainingBudget: 7 +# currentBudget: 7 +# number of elites: 4 +# nbConfigurations: 4 +# Total CPU user time: 3888.943, CPU sys time: 4.7, Wall-clock time: 478.149 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size c1 c2 num_generations +31 9111 0.61845 0.74494 153 +62 7625 0.54834 0.68940 51 +63 8823 0.17605 0.71659 76 +52 2256 2.33396 0.44438 592 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +31 -p9111 -v0.61845 -z0.74494 -g153 +62 -p7625 -v0.54834 -z0.6894 -g51 +63 -p8823 -v0.17605 -z0.71659 -g76 +52 -p2256 -v2.33396 -z0.44438 -g592 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-09-06 15:24:14 -03: No test instances, skip testing diff --git a/src/irace/results/results/diferencial.txt b/src/irace/results/results/diferencial.txt new file mode 100644 index 000000000..307fde14a --- /dev/null +++ b/src/irace/results/results/diferencial.txt @@ -0,0 +1,244 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/vinicius/Downloads/issue45/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-09 19:04:14 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 3 +# minNbSurvival: 3 +# nbParameters: 3 +# seed: 408294734 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-09 19:04:14 -03: Iteration 1 of 3 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 166 +# nbConfigurations: 27 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 27| 4| 301.7427140| 27|00:00:40| NA| NA| NA| +|x| 2| 27| 4| 767.3493265| 54|00:00:39|+0.18|0.59|0.6729| +|x| 3| 27| 17| 682.5757557| 81|00:00:40|+0.02|0.35|0.8611| +|x| 4| 27| 8| 820.3201442| 108|00:00:39|+0.04|0.28|0.8398| +|-| 5| 13| 8| 716.8507752| 135|00:00:40|+0.02|0.22|0.7778| +|=| 6| 13| 4| 678.4383558| 148|00:00:19|+0.05|0.21|0.8274| +|=| 7| 13| 4| 653.0971084| 161|00:00:19|+0.02|0.16|0.8317| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 4 mean value: 653.0971084 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial .PARENT. +4 4 1548 96 0.08654 NA + +# 2023-08-09 19:08:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +4 1548 96 0.08654 +8 1505 94 0.28605 +6 1090 25 1.08506 +# 2023-08-09 19:08:15 -03: Iteration 2 of 3 +# experimentsUsedSoFar: 161 +# remainingBudget: 339 +# currentBudget: 169 +# nbConfigurations: 23 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 23| 33| 1229.701119| 23|00:00:29| NA| NA| NA| +|x| 6| 23| 31| 865.6393205| 43|00:00:30|+0.05|0.53|0.9034| +|x| 7| 23| 47| 744.7290387| 63|00:00:29|+0.02|0.35|1.0375| +|x| 5| 23| 33| 632.9436738| 83|00:00:30|+0.01|0.25|0.9583| +|=| 3| 23| 31| 607.7566818| 103|00:00:29|+0.03|0.22|0.9257| +|=| 1| 23| 33| 555.4657132| 123|00:00:30|+0.08|0.23|0.8557| +|-| 2| 14| 33| 651.2251367| 143|00:00:29|-0.06|0.09|0.9298| +|=| 4| 14| 33| 724.5646654| 154|00:00:19|-0.01|0.11|0.9006| +|=| 9| 14| 33| 677.3908172| 168|00:00:20|+0.04|0.14|0.8465| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 33 mean value: 677.3908172 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial .PARENT. +33 33 95 84 0.49464 4 + +# 2023-08-09 19:12:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +33 95 84 0.49464 +45 1864 95 0.11675 +4 1548 96 0.08654 +# 2023-08-09 19:12:25 -03: Iteration 3 of 3 +# experimentsUsedSoFar: 329 +# remainingBudget: 171 +# currentBudget: 171 +# nbConfigurations: 19 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 10| 19| 59| 300.0000000| 19|00:00:29| NA| NA| NA| +|x| 6| 19| 59| 400.4761410| 35|00:00:19|+0.01|0.50|1.0526| +|x| 4| 19| 61| 676.9805343| 51|00:00:19|+0.15|0.43|0.8683| +|x| 8| 19| 59| 816.1502295| 67|00:00:20|+0.22|0.42|0.7785| +|-| 5| 7| 59| 712.9201836| 83|00:00:20|+0.18|0.35|0.8345| +|-| 2| 5| 59| 798.6754758| 87|00:00:09|+0.17|0.31|0.6803| +|=| 7| 5| 59| 756.1399223| 89|00:00:09|+0.19|0.30|0.6469| +|=| 3| 5| 59| 724.2544861| 91|00:00:09|+0.13|0.24|0.6370| +|!| 9| 5| 59| 677.1150988| 93|00:00:09|+0.20|0.29|0.5884| +|-| 1| 3| 59| 639.4035889| 95|00:00:09|+0.07|0.16|0.5974| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 59 mean value: 639.4035889 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial .PARENT. +59 59 130 84 0.34104 33 + +# 2023-08-09 19:15:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +59 130 84 0.34104 +33 95 84 0.49464 +61 187 82 0.42127 +# 2023-08-09 19:15:05 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 424 +# remainingBudget: 76 +# currentBudget: 76 +# nbConfigurations: 9 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 9| 59| 1227.363268| 9|00:00:19| NA| NA| NA| +|x| 10| 9| 59| 763.6816340| 15|00:00:10|+0.92|0.96|0.1488| +|x| 1| 9| 59| 609.1210893| 21|00:00:09|+0.94|0.96|0.0982| +|x| 9| 9| 59| 531.8408170| 27|00:00:10|+0.95|0.96|0.0778| +|-| 6| 3| 59| 525.6631100| 33|00:00:09|+0.35|0.48|0.6738| +|.| 4| 3| 59| 643.3225962| 33|00:00:00|+0.23|0.36|0.6713| +|.| 7| 3| 59| 622.9803111| 33|00:00:00|+0.33|0.43|0.6140| +|.| 8| 3| 59| 699.1113484| 33|00:00:00|+0.20|0.30|0.6308| +|.| 3| 3| 59| 677.1052467| 33|00:00:00|+0.04|0.15|0.6748| +|.| 5| 3| 59| 639.3947220| 33|00:00:00|+0.10|0.19|0.6424| +|.| 2| 3| 59| 692.8544688| 33|00:00:00|+0.09|0.17|0.6220| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 59 mean value: 692.8544688 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial .PARENT. +59 59 130 84 0.34104 33 + +# 2023-08-09 19:16:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +59 130 84 0.34104 +33 95 84 0.49464 +61 187 82 0.42127 +# 2023-08-09 19:16:05 -03: Iteration 5 of 5 +# experimentsUsedSoFar: 457 +# remainingBudget: 43 +# currentBudget: 43 +# nbConfigurations: 6 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 12| 6| 33| 500.9882170| 6|00:00:09| NA| NA| NA| +|x| 1| 6| 59| 400.4996815| 9|00:00:10|+0.83|0.91|0.4683| +|x| 5| 6| 59| 366.9997877| 12|00:00:09|+0.89|0.92|0.3103| +|x| 4| 6| 59| 583.1548475| 15|00:00:09|+0.11|0.34|0.8163| +|=| 7| 6| 59| 566.7091982| 18|00:00:09|+0.17|0.33|0.8125| +|=| 3| 6| 59| 555.7670707| 21|00:00:09|-0.07|0.10|0.9088| +|=| 11| 6| 59| 651.7093846| 24|00:00:10|-0.00|0.14|0.8582| +|=| 2| 6| 59| 723.6772036| 27|00:00:10|+0.01|0.14|0.8174| +|=| 9| 6| 59| 676.6019588| 30|00:00:10|+0.08|0.19|0.7647| +|-| 10| 3| 59| 638.9417629| 33|00:00:10|+0.17|0.25|0.5405| +|.| 8| 3| 59| 692.8587489| 33|00:00:00|+0.18|0.26|0.5099| +|.| 6| 3| 59| 676.8665433| 33|00:00:00|+0.10|0.17|0.5910| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 59 mean value: 676.8665433 +Description of the best-so-far configuration: + .ID. population_size mutation_rate F_differencial .PARENT. +59 59 130 84 0.34104 33 + +# 2023-08-09 19:17:45 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +59 130 84 0.34104 +33 95 84 0.49464 +61 187 82 0.42127 +# 2023-08-09 19:17:45 -03: Stopped because there is not enough budget left to race more than the minimum (3) +# You may either increase the budget or set 'minNbSurvival' to a lower value +# Iteration: 6 +# nbIterations: 6 +# experimentsUsedSoFar: 490 +# timeUsed: 0 +# remainingBudget: 10 +# currentBudget: 10 +# number of elites: 3 +# nbConfigurations: 3 +# Total CPU user time: 4818.972, CPU sys time: 31.918, Wall-clock time: 810.086 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate F_differencial +59 130 84 0.34104 +33 95 84 0.49464 +61 187 82 0.42127 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +59 -p130 -m84 -F0.34104 +33 -p95 -m84 -F0.49464 +61 -p187 -m82 -F0.42127 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-09 19:17:45 -03: No test instances, skip testing +Warning message: +In readLines(con = file) : + linha final incompleta encontrada em '/home/vinicius/Downloads/issue45/heuristic-scientific-research/src/irace/parameters-diferencial.txt' \ No newline at end of file diff --git a/src/irace/results/results/genetic.txt b/src/irace/results/results/genetic.txt new file mode 100644 index 000000000..4ef160ea6 --- /dev/null +++ b/src/irace/results/results/genetic.txt @@ -0,0 +1,207 @@ +#------------------------------------------------------------------------------ +# irace: An implementation in R of (Elitist) Iterated Racing +# Version: 3.5.6863679 +# Copyright (C) 2010-2020 +# Manuel Lopez-Ibanez +# Jeremie Dubois-Lacoste +# Leslie Perez Caceres +# +# This is free software, and you are welcome to redistribute it under certain +# conditions. See the GNU General Public License for details. There is NO +# WARRANTY; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# +# irace builds upon previous code from the race package: +# race: Racing methods for the selection of the best +# Copyright (C) 2003 Mauro Birattari +#------------------------------------------------------------------------------ +# installed at: /usr/local/lib/R/site-library/irace +# called with: +== irace == WARNING: A default scenario file '/home/vinicius/Downloads/issue45/heuristic-scientific-research/src/irace/scenario.txt' has been found and will be read. +# 2023-08-09 19:25:23 -03: Initialization +# Elitist race +# Elitist new instances: 1 +# Elitist limit: 2 +# nbIterations: 3 +# minNbSurvival: 3 +# nbParameters: 3 +# seed: 1346700530 +# confidence level: 0.95 +# budget: 500 +# mu: 5 +# deterministic: FALSE + +# 2023-08-09 19:25:23 -03: Iteration 1 of 3 +# experimentsUsedSoFar: 0 +# remainingBudget: 500 +# currentBudget: 166 +# nbConfigurations: 27 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 1| 27| 10| 500.4493220| 27|00:00:40| NA| NA| NA| +|x| 2| 27| 10| 865.0064155| 54|00:00:40|+0.47|0.74|0.4395| +|x| 3| 27| 10| 678.5483070| 81|00:00:40|+0.53|0.69|0.4047| +|x| 4| 27| 21| 815.7085905| 108|00:00:39|+0.48|0.61|0.4756| +|-| 5| 7| 21| 713.3644492| 135|00:00:40|+0.03|0.22|0.8093| +|=| 6| 7| 21| 677.9642710| 142|00:00:10|+0.12|0.26|0.7617| +|=| 7| 7| 21| 652.6610226| 149|00:00:09|+0.16|0.28|0.7131| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 21 mean value: 652.6610226 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate .PARENT. +21 21 286 41 31 NA + +# 2023-08-09 19:29:05 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate +21 286 41 31 +10 1446 2 52 +7 754 16 90 +# 2023-08-09 19:29:05 -03: Iteration 2 of 3 +# experimentsUsedSoFar: 149 +# remainingBudget: 351 +# currentBudget: 175 +# nbConfigurations: 24 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 8| 24| 35| 1224.840949| 24|00:00:29| NA| NA| NA| +|x| 2| 24| 47| 1223.403939| 45|00:00:29|+0.73|0.86|0.2189| +|x| 5| 24| 47| 916.5625907| 66|00:00:30|+0.68|0.79|0.3459| +|x| 6| 24| 47| 812.6109240| 87|00:00:29|+0.57|0.68|0.4184| +|-| 1| 11| 47| 750.1935100| 108|00:00:29|+0.11|0.29|0.8394| +|-| 7| 10| 47| 708.6105638| 116|00:00:10|+0.17|0.30|0.7638| +|!| 4| 10| 39| 783.8592474| 123|00:00:09|+0.16|0.28|0.8133| +|-| 3| 7| 39| 723.7030302| 130|00:00:10|-0.02|0.10|0.8147| +|=| 9| 7| 42| 677.3630981| 137|00:00:10|+0.02|0.13|0.7729| +|=| 10| 7| 42| 639.7960574| 144|00:00:10|+0.06|0.15|0.7452| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 42 mean value: 639.7960574 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate .PARENT. +42 42 448 22 41 21 + +# 2023-08-09 19:32:25 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate +42 448 22 41 +39 655 24 21 +36 174 21 39 +# 2023-08-09 19:32:25 -03: Iteration 3 of 3 +# experimentsUsedSoFar: 293 +# remainingBudget: 207 +# currentBudget: 207 +# nbConfigurations: 21 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 11| 21| 58| 500.2382860| 21|00:00:29| NA| NA| NA| +|x| 1| 21| 52| 500.3246650| 39|00:00:29|-0.15|0.43|1.0203| +|x| 4| 21| 52| 741.5156823| 57|00:00:30|+0.13|0.42|0.8347| +|x| 6| 21| 52| 681.1991265| 75|00:00:30|+0.25|0.44|0.7100| +|-| 7| 10| 52| 645.0749592| 93|00:00:30|+0.03|0.22|0.8614| +|=| 8| 10| 52| 742.4857250| 100|00:00:09|+0.08|0.23|0.8489| +|=| 10| 10| 52| 679.5186220| 107|00:00:10|+0.03|0.17|0.8803| +|=| 5| 10| 52| 632.3096288| 114|00:00:09|+0.03|0.15|0.8753| +|=| 9| 10| 52| 595.5944496| 121|00:00:10|+0.06|0.17|0.8583| +|=| 3| 10| 52| 566.2969180| 128|00:00:09|+0.07|0.17|0.8477| +|=| 2| 10| 52| 626.3468098| 135|00:00:09|+0.05|0.14|0.8666| +|=| 12| 10| 52| 676.3752507| 145|00:00:19|+0.05|0.13|0.8671| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 676.3752507 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate .PARENT. +52 52 507 15 34 42 + +# 2023-08-09 19:36:15 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate +52 507 15 34 +42 448 22 41 +60 755 22 20 +# 2023-08-09 19:36:15 -03: Iteration 4 of 4 +# experimentsUsedSoFar: 438 +# remainingBudget: 62 +# currentBudget: 62 +# nbConfigurations: 7 +# Markers: + x No test is performed. + c Configurations are discarded only due to capping. + - The test is performed and some configurations are discarded. + = The test is performed but no configuration is discarded. + ! The test is performed and configurations could be discarded but elite configurations are preserved. + . All alive configurations are elite and nothing is discarded + ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +| | Instance| Alive| Best| Mean best| Exp so far| W time| rho|KenW| Qvar| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +|x| 13| 7| 70| 1214.120626| 7|00:00:09| NA| NA| NA| +|x| 6| 7| 67| 863.5857880| 11|00:00:09|-0.36|0.32|1.2611| +|x| 7| 7| 60| 745.0409637| 15|00:00:10|-0.19|0.21|1.1469| +|x| 4| 7| 60| 864.9282665| 19|00:00:09|-0.19|0.11|1.0455| +|=| 12| 7| 67| 934.8609124| 23|00:00:10|-0.08|0.14|0.9046| +|=| 10| 7| 52| 831.4087168| 27|00:00:10|-0.11|0.08|0.9419| +|=| 8| 7| 67| 885.9633491| 31|00:00:09|-0.03|0.12|0.8645| +|=| 1| 7| 69| 838.1905718| 35|00:00:09|-0.01|0.12|0.8571| +|=| 2| 7| 67| 880.6325613| 39|00:00:10|+0.03|0.14|0.8248| +|=| 11| 7| 69| 843.0687488| 43|00:00:10|+0.02|0.12|0.8228| +|=| 3| 7| 69| 793.9661113| 47|00:00:10|-0.03|0.07|0.8755| +|=| 5| 7| 52| 754.1627269| 51|00:00:09|-0.03|0.06|0.8756| +|=| 9| 7| 52| 719.3712107| 55|00:00:09|-0.01|0.06|0.8614| +|=| 14| 7| 52| 689.4925153| 62|00:00:10|-0.00|0.07|0.8539| ++-+-----------+-----------+-----------+----------------+-----------+--------+-----+----+------+ +Best-so-far configuration: 52 mean value: 689.4925153 +Description of the best-so-far configuration: + .ID. population_size mutation_rate crossover_rate .PARENT. +52 52 507 15 34 42 + +# 2023-08-09 19:38:35 -03: Elite configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate +52 507 15 34 +69 972 20 39 +42 448 22 41 +# 2023-08-09 19:38:35 -03: Stopped because budget is exhausted +# Iteration: 5 +# nbIterations: 4 +# experimentsUsedSoFar: 500 +# timeUsed: 0 +# remainingBudget: 0 +# currentBudget: 62 +# number of elites: 3 +# nbConfigurations: 7 +# Total CPU user time: 4828.443, CPU sys time: 26.063, Wall-clock time: 791.74 +# Best configurations (first number is the configuration ID; listed from best to worst according to the sum of ranks): + population_size mutation_rate crossover_rate +52 507 15 34 +69 972 20 39 +42 448 22 41 +# Best configurations as commandlines (first number is the configuration ID; same order as above): +52 -p507 -m15 -c34 +69 -p972 -m20 -c39 +42 -p448 -m22 -c41 + + +# Testing of elite configurations: 1 +# Testing iteration configurations: FALSE +# 2023-08-09 19:38:35 -03: No test instances, skip testing \ No newline at end of file diff --git a/src/irace/results/pso.txt b/src/irace/results/results/pso.txt similarity index 100% rename from src/irace/results/pso.txt rename to src/irace/results/results/pso.txt diff --git a/src/irace/scenario.txt b/src/irace/scenario.txt index 466231f9d..6cc44047d 100644 --- a/src/irace/scenario.txt +++ b/src/irace/scenario.txt @@ -13,9 +13,12 @@ ##parameterFile = "./parameters-pso.txt" ##parameterFile = "./parameters-evol_mpop.txt" ##parameterFile = "./parameters-evol_simples.txt" -parameterFile = "./parameters-evol_simples_num_g.txt" +##parameterFile = "./parameters-evol_simples_num_g.txt" ##parameterFile = "./parameters-ant.txt" ##parameterFile = "./parameters-evol_mpop _diferencial.txt" +##parameterFile = "./parameters-genetic.txt" +##parameterFile = "./parameters-island-2.txt" +parameterFile = "./parameters-diferencial.txt" ## Directory where the programs will be run. execDir = "../" @@ -49,7 +52,7 @@ debugLevel = 0 ## computer, the calls to targetRunner, by means of the parallel R package. For example, ## adding --parallel N to the command line of irace will launch in parallel up to N calls of ## the target algorithm. -parallel = 8 +parallel = 12 ## END of scenario file ############################################################################ diff --git a/src/irace/target-runner b/src/irace/target-runner index e55c9cf65..6ee4aff59 100755 --- a/src/irace/target-runner +++ b/src/irace/target-runner @@ -53,7 +53,9 @@ fi ##$EXE ${FIXED_PARAMS} -i $FUNCTION --seed $SEED ${CONFIG_PARAMS} 1> $STDOUT 2> $STDERR ##$EXE $P $G -$EXE -f $FUNCTION -s $SEED $CONFIG_PARAMS > "$STDOUT" 2> "$STDERR" +##echo -e "Valor da variável FUNCTION:irace$FUNCTION\n\n\n\n\n\n\n\n\n\n" +##$EXE -f $FUNCTION -s $SEED -K 1 -k 0 -A 4 $CONFIG_PARAMS > "$STDOUT" 2> "$STDERR" +$EXE -f $FUNCTION -s $SEED -A 0,1,0,0,0 -k 0 -K 1 $CONFIG_PARAMS > "$STDOUT" 2> "$STDERR" # Verificar se ocorreram erros durante a execução if [ $? -ne 0 ]; then diff --git a/src/irace/target-runner-model b/src/irace/target-runner-model new file mode 100755 index 000000000..9094ff248 --- /dev/null +++ b/src/irace/target-runner-model @@ -0,0 +1,89 @@ +#!/bin/bash +############################################################################### +# This script is to tune the ACOTSP software. +# +# PARAMETERS: +# $1 is the ID of the candidate to be evaluated +# $2 is the FUNCTION ID +# $3 is the seed +# $4 is the FUNCTION name +# The rest ($* after `shift 4') are parameters for running ACOTSP +# +# RETURN VALUE: +# This script should print a single numerical value (the value to be minimized). +############################################################################### +error() { + echo "`TZ=UTC date`: $0: error: $@" >&2 + exit 1 +} + +####Comando: ./target-runner 100 200 + +# Path to the ACOTSP executable (this path is relative to the execution directory `execDir` specified in the scenario). +# EXE="~/bin/acotsp" +##EXE="../evol" +EXE="./evol" + +# Fixed parameters that should be always passed to ACOTSP. +# The time to be used is always 10 seconds, and we want only one run: +##FIXED_PARAMS=" --tries 1 --time 1 --quiet " + +CONFIG_ID="$1" +FUNCTION_ID="$2" +SEED="$3" +FUNCTION=$(echo $4 | rev | cut -d"/" -f -1 | rev) + + +# Restante do código... + +# All other parameters are the candidate parameters to be passed to program +shift 4 || error "Not enough parameters" +CONFIG_PARAMS=$* + +#echo "Parametros do algoritmo: $CONFIG_PARAMS" + +STDOUT=c${FUNCTION}-${CONFIG_ID}.stdout +STDERR=c${FUNCTION}-${CONFIG_ID}.stderr + +if [ ! -x "${EXE}" ]; then + error "${EXE}: not found or not executable (pwd: $(pwd))" +fi + +# Now we can call ACOTSP by building a command line with all parameters for it +##$EXE ${FIXED_PARAMS} -i $FUNCTION --seed $SEED ${CONFIG_PARAMS} 1> $STDOUT 2> $STDERR +##$EXE $P $G + +##echo -e "Valor da variável FUNCTION:irace$FUNCTION\n\n\n\n\n\n\n\n\n\n" +##$EXE -f $FUNCTION -s $SEED -K 1 -k 0 -A 4 $CONFIG_PARAMS > "$STDOUT" 2> "$STDERR" +$EXE -f $FUNCTION -s $SEED -N -t 5 $CONFIG_PARAMS > "$STDOUT" 2> "$STDERR" + +# Verificar se ocorreram erros durante a execução +if [ $? -ne 0 ]; then + error "Erro ao executar $EXE" +fi + +# The output of the candidate $CONFIG_ID should be written in the file +# c${CONFIG_ID}.stdout (see target runner for ACOTSP). +# Does this file exist? +##if [ ! -s "${STDOUT}" ]; then + # In this case, the file does not exist. Let's exit with a value + # different from 0. In this case irace will stop with an error. + ## error "${STDOUT}: No such file or directory" +##fi + +# Ok, the file exist. It contains the whole output written by ACOTSP. +# This script should return a single numerical value, the best objective +# value found by this run of ACOTSP. The following line is to extract +# this value from the file containing ACOTSP output. +COST=$(cat ${STDOUT} | grep -o -E 'Best [-+0-9.e]+' | cut -d ' ' -f2) +if ! [[ "$COST" =~ ^[-+0-9.e]+$ ]] ; then + error "${STDOUT}: Output is not a number" +fi + +# Print it! +echo "$COST" + +# We are done with our duty. Clean files and exit with 0 (no error). +rm -f "${STDOUT}" "${STDERR}" +rm -f best.* stat.* cmp.* +exit 0 diff --git a/src/irace/ysys.txt b/src/irace/ysys.txt new file mode 100644 index 000000000..e69de29bb diff --git a/src/libs/crossover.c b/src/libs/crossover.c index 07f9c0e23..c2daff658 100644 --- a/src/libs/crossover.c +++ b/src/libs/crossover.c @@ -5,87 +5,82 @@ #include "utils.h" #include "types.h" -individuo cruzamento_media(individuo parent1, individuo parent2, int n_itens) +void cruzamento_media(individuo parent1, individuo parent2, int n_itens, individuo *child) { DEBUG(printf("\ncruzamento_media\n");); - double *child_chromosome = (double *)malloc(n_itens * sizeof(double)); - individuo child = {child_chromosome, INFINITY}; + child->fitness = INFINITY; for (int i = 0; i < n_itens; i++) { - child.chromosome[i] = (parent1.chromosome[i] + parent2.chromosome[i]) / 2; + child->chromosome[i] = (parent1.chromosome[i] + parent2.chromosome[i]) / 2; } - return child; + } -individuo cruzamento_flat(individuo parent1, individuo parent2, int n_itens) +void cruzamento_flat(individuo parent1, individuo parent2, int n_itens, individuo *child) { DEBUG(printf("\ncruzamento_flat\n");); - double *child_chromosome = (double *)malloc(n_itens * sizeof(double)); - individuo child = {child_chromosome, INFINITY}; + child->fitness = INFINITY; for (int i = 0; i < n_itens; i++) { individuo pais[2] = {parent1, parent2}; int menor = parent1.chromosome[i] < parent2.chromosome[i] ? 0 : 1; - child.chromosome[i] = random_double(pais[menor].chromosome[i], pais[!menor].chromosome[i]); + child->chromosome[i] = random_double(pais[menor].chromosome[i], pais[!menor].chromosome[i]); } - return child; + } -individuo cruzamento_blend(individuo parent1, individuo parent2, int n_itens) +void cruzamento_blend(individuo parent1, individuo parent2, int n_itens, individuo *child) { DEBUG(printf("\ncruzamento_blend\n");); - double *child_chromosome = (double *)malloc(n_itens * sizeof(double)); - individuo child = {child_chromosome, INFINITY}; + child->fitness = INFINITY; for (int i = 0; i < n_itens; i++) { double alpha = random_double(0.0, 1.0); - child.chromosome[i] = alpha * parent1.chromosome[i] + (1 - alpha) * parent2.chromosome[i]; - if (child.chromosome[i] > 100 || child.chromosome[i] < -100) - child.chromosome[i] = random_double(-100, 100); + child->chromosome[i] = alpha * parent1.chromosome[i] + (1 - alpha) * parent2.chromosome[i]; + if (child->chromosome[i] > 100 || child->chromosome[i] < -100) + child->chromosome[i] = random_double(-100, 100); } - return child; + } -individuo cruzamento_metade(individuo parent1, individuo parent2, int n_itens) +void cruzamento_metade(individuo parent1, individuo parent2, int n_itens, individuo *child) { DEBUG(printf("\ncruzamento_metade\n");); - double *child_chromosome = (double *)malloc(n_itens * sizeof(double)); - individuo child = {child_chromosome, INFINITY}; + child->fitness = INFINITY; int crossover_point = n_itens / 2; for (int i = 0; i < crossover_point; i++) { - child.chromosome[i] = parent1.chromosome[i]; + child->chromosome[i] = parent1.chromosome[i]; } for (int i = crossover_point; i < n_itens; i++) { - child.chromosome[i] = parent2.chromosome[i]; + child->chromosome[i] = parent2.chromosome[i]; } - return child; + } -individuo cruzamento_ponto(individuo parent1, individuo parent2, int n_itens) +void cruzamento_ponto(individuo parent1, individuo parent2, int n_itens, individuo *child) { DEBUG(printf("\ncruzamento_ponto\n");); - double *child_chromosome = (double *)malloc(n_itens * sizeof(double)); - individuo child = {child_chromosome, INFINITY}; + child->fitness = INFINITY; int crossover_point = rand() % n_itens; for (int i = 0; i < crossover_point; i++) { - child.chromosome[i] = parent1.chromosome[i]; + child->chromosome[i] = parent1.chromosome[i]; } for (int i = crossover_point; i < n_itens; i++) { - child.chromosome[i] = parent2.chromosome[i]; + child->chromosome[i] = parent2.chromosome[i]; } - return child; + } diff --git a/src/libs/crossover.h b/src/libs/crossover.h index 1055eeaa5..1641906ed 100644 --- a/src/libs/crossover.h +++ b/src/libs/crossover.h @@ -25,10 +25,10 @@ typedef enum #define CROSSOVER_H -individuo cruzamento_media(individuo parent1, individuo parent2, int n_itens); -individuo cruzamento_flat(individuo parent1, individuo parent2, int n_itens); -individuo cruzamento_blend(individuo parent1, individuo parent2, int n_itens); -individuo cruzamento_metade(individuo parent1, individuo parent2, int n_itens); -individuo cruzamento_ponto(individuo parent1, individuo parent2, int n_itens); +void cruzamento_media(individuo parent1, individuo parent2, int n_itens, individuo *child); +void cruzamento_flat(individuo parent1, individuo parent2, int n_itens, individuo *child); +void cruzamento_blend(individuo parent1, individuo parent2, int n_itens, individuo *child); +void cruzamento_metade(individuo parent1, individuo parent2, int n_itens, individuo *child); +void cruzamento_ponto(individuo parent1, individuo parent2, int n_itens, individuo *child); #endif /* CROSSOVER_H */ diff --git a/src/libs/log.h b/src/libs/log.h index d778b2115..93248919b 100644 --- a/src/libs/log.h +++ b/src/libs/log.h @@ -2,13 +2,20 @@ #include "types.h" #define LOG_H + typedef struct args_ { int function_number; domain domain_function; - char algorithms[100]; + float choice_random_migrate; + char algorithms[250]; int num_algorithms; double F; + int num_pso; + int num_aco; + int num_genetico; + int num_clonal; + int num_diferencial; int time_limit; int island_size; int population_size; diff --git a/src/libs/types.h b/src/libs/types.h index 6e6b7459a..6f85ce423 100644 --- a/src/libs/types.h +++ b/src/libs/types.h @@ -13,6 +13,8 @@ #ifndef TYPES_H #define TYPES_H +#include + enum algorithm { @@ -40,6 +42,13 @@ typedef struct population_ } populacao; +typedef struct proporcao_alg_ +{ + int alg; + int proporcao; + int total_islands; +}proporcao_alg; + typedef struct domain { double min; diff --git a/src/libs/utils.c b/src/libs/utils.c index 9d5273cfd..4cf0dceff 100644 --- a/src/libs/utils.c +++ b/src/libs/utils.c @@ -4,8 +4,11 @@ #include "utils.h" #include -void free_population(populacao *populations, int n_populations) { - for (int i = 0; i < n_populations; i++) { + +void free_population(populacao *populations, int n_populations) +{ + for (int i = 0; i < n_populations; i++) + { free(populations[i].individuos); free(populations[i].neighbours); } @@ -33,14 +36,14 @@ void print_population(individuo *pop, int tamanho_populacao, int dimension, int printf("\n"); } - double random_double(double min, double max) { double random = min + (max - min) * (rand() / (double)RAND_MAX); return random; } -int doubleEqual(double a, double b, int num_casas) { +int doubleEqual(double a, double b, int num_casas) +{ double tolerance = pow(10, -num_casas); return fabs(a - b) < tolerance; } @@ -137,8 +140,8 @@ Array generateComb(int n) int size = 0; generateCombinations(n, arr, 0, combinations, &size); - - return (Array) {combinations, size}; + + return (Array){combinations, size}; } /** @@ -148,18 +151,52 @@ Array generateComb(int n) */ int size_of_array(char *parameter) { - int i = 0; + int i = 0, total = 0; char parameters_copy[256]; strcpy(parameters_copy, parameter); char *token = strtok(parameters_copy, ","); while (token != NULL) { - i++; + i += atoi(token); + total++; token = strtok(NULL, ","); } + if(total > 5){ + puts("Número de algoritmos inválido"); + exit(0); + } + return i; } +int comparador_quantidade_alg(const void *a, const void *b) +{ + proporcao_alg *v1 = (proporcao_alg *)a; + proporcao_alg *v2 = (proporcao_alg *)b; + + return v1->total_islands < v2->total_islands; +} + +int *get_algorithms(int *quantidade_islands, int total) +{ + proporcao_alg proporcoes[5]; + int *result = calloc(total, sizeof(int)); + for (int i = 0; i < 5; i++){ + proporcoes[i].total_islands = quantidade_islands[i]; + proporcoes[i].alg = i; + } + qsort(&proporcoes, 5, sizeof(proporcao_alg), comparador_quantidade_alg); + int cont = 0; + + for(int i = 0; i < 5; i++){ + for(int j = 0; j < proporcoes[i].total_islands; j++, cont++){ + result[cont] = proporcoes[i].alg; + } + } + + return result; +} + int *convert_parameter_to_array(char *parameter) { char parameters_copy[256]; diff --git a/src/libs/utils.h b/src/libs/utils.h index 5bc81a994..b2654ee8c 100644 --- a/src/libs/utils.h +++ b/src/libs/utils.h @@ -35,5 +35,6 @@ void printVector(int arr[], int n); char *translateIntToAlg(enum algorithm alg); int size_of_array(char *parameter); int *convert_parameter_to_array(char *parameter); - +int *get_algorithms(int *vet, int total); +int comparador_quantidade_alg(const void *a, const void *b); #endif /* UTILS_H */ diff --git a/src/makefile b/src/makefile index f95539256..62b168d06 100644 --- a/src/makefile +++ b/src/makefile @@ -1,4 +1,7 @@ -codname = main +codname = algoritmoIlhaEscolhaProporcional +#codname = algoritmoIlhaEscolhaDireta +#codname = getInputForFuraaf +#codname = ${COD_NAME} compil:; gcc -o evol $(codname).c ./libs/statistics.c ./libs/log.c ./libs/crossover.c ./libs/types.c ./libs/utils.c ./libs/funcoes_cec_2015/cec15_test_func.c ./libs/funcoes_cec_2015/ecr_iml.c ./libs/funcoes_cec_2015/evaluation_count_iml.c ./libs/funcoes_cec_2015/record_result_iml.c ./libs/funcoes_cec_2015/rp_iml.c ./algorithms/genetic.c ./algorithms/pso.c ./algorithms/parameters.c ./algorithms/commom.c ./algorithms/clonalg.c ./algorithms/aco.c ./algorithms/diferencial.c -lm; \ diff --git a/src/makefile_ b/src/makefile_ index 212c7e22a..04837564f 100644 --- a/src/makefile_ +++ b/src/makefile_ @@ -1,7 +1,7 @@ -codname = compil:; - gcc -o evol $(codname).c ./libs/statistics.c ./libs/log.c ./libs/crossover.c ./libs/types.c ./libs/utils.c ./libs/funcoes_cec_2015/cec15_test_func.c ./libs/funcoes_cec_2015/ecr_iml.c ./libs/funcoes_cec_2015/evaluation_count_iml.c ./libs/funcoes_cec_2015/record_result_iml.c ./libs/funcoes_cec_2015/rp_iml.c -lm; \ + gcc -o evol $(codname).c ./libs/statistics.c ./libs/log.c ./libs/crossover.c ./libs/types.c ./libs/utils.c ./libs/funcoes_cec_2015/cec15_test_func.c ./libs/funcoes_cec_2015/ecr_iml.c ./libs/funcoes_cec_2015/evaluation_count_iml.c ./libs/funcoes_cec_2015/record_result_iml.c ./libs/funcoes_cec_2015/rp_iml.c ./algorithms/genetic.c ./algorithms/pso.c ./algorithms/parameters.c ./algorithms/commom.c ./algorithms/clonalg.c ./algorithms/aco.c ./algorithms/diferencial.c -lm; \ + gcc utils/combinationK.c -o combination; \ run: compil; ./evol; \ diff --git a/src/processar_results_irace.sh b/src/processar_results_irace.sh new file mode 100755 index 000000000..f2a4745e7 --- /dev/null +++ b/src/processar_results_irace.sh @@ -0,0 +1,39 @@ +#!/bin/bash + +# Verifique se o número correto de argumentos foi fornecido +if [ $# -ne 2 ]; then + echo "Uso: $0 arquivo_de_entrada.txt arquivo_de_saida.txt" + exit 1 +fi + +# Nome do arquivo de entrada +arquivo_entrada="$1" + +# Nome do arquivo de saída +arquivo_saida="$2" + +# Verifique se o arquivo de entrada existe +if [ ! -f "$arquivo_entrada" ]; then + echo "O arquivo de entrada '$arquivo_entrada' não existe." + exit 1 +fi + +# Limpe o arquivo de saída (se existir) +> "$arquivo_saida" + +# Loop através das linhas do arquivo de entrada +while IFS= read -r linha; do + # Verifique se a linha não está em branco + if [ -n "$linha" ]; then + # Adicione uma mensagem de depuração + echo "Executando: ./evol $linha" + + # Execute ./evol antes de cada linha e redirecione a saída para o arquivo de saída + ./evol $linha >> "$arquivo_saida" + + # Adicione outra mensagem de depuração + echo "Resultado redirecionado para $arquivo_saida" + fi +done < "$arquivo_entrada" + +echo "Processamento concluído. Resultados salvos em '$arquivo_saida'." diff --git a/src/results/tcc/result_[0,0,0].txt b/src/results/tcc/result_[0,0,0].txt deleted file mode 100644 index d0ca91990..000000000 --- a/src/results/tcc/result_[0,0,0].txt +++ /dev/null @@ -1,3 +0,0 @@ -Resultado para função 1: Minimo: 100.000014 Maximo: 18813.578401 Média: 1354.51133280000000000000 Desvio padrão: 4118.20515423865421958080 -Resultado para função 2: Minimo: 200.000000 Maximo: 200.003892 Média: 200.00065890000000000000 Desvio padrão: .00119435542867272135 -Resultado para função 3: Minimo: 301.395004 Maximo: 303.814266 Média: 302.04177495000000000000 Desvio padrão: .47294528967825390532 diff --git a/src/tabela-irace.csv b/src/tabela-irace.csv new file mode 100644 index 000000000..1b11afebe --- /dev/null +++ b/src/tabela-irace.csv @@ -0,0 +1,50 @@ +Ilhas,Número_Migrações,Tamanho_Migração,Probabilidade_random_random,PSO,DE,ACO,CLONAL,GA +2,9,42,0.477730,1,0,0,0,1 +3,7,38,0.411160,2,0,0,0,1 +4,8,37,0.863060,2,0,0,1,1 +5,10,16,0.408380,2,0,0,2,1 +6,9,27,0.737830,2,0,1,2,1 +7,10,32,0.960860,1,0,2,2,2 +8,9,23,0.607850,3,2,1,0,2 +9,8,15,0.264410,4,1,1,0,3 +10,10,14,0.440050,2,4,0,1,3 +11,10,43,0.944230,5,0,1,1,4 +12,10,28,0.697940,4,3,0,3,2 +13,10,13,0.579980,3,4,0,2,4 +14,8,36,0.327750,5,2,3,2,2 +15,9,41,0.919670,4,1,3,0,7 +16,7,24,0.868650,13,1,0,1,1 +17,9,21,0.465900,9,3,0,0,5 +18,8,25,0.289110,8,1,2,2,5 +19,10,16,0.386040,4,0,5,3,7 +20,7,22,0.221720,9,0,2,0,9 +21,9,31,0.170540,11,6,0,2,2 +22,10,39,0.311340,6,4,4,0,8 +23,9,20,0.962510,13,1,4,2,3 +24,9,11,0.157100,9,0,2,6,7 +25,10,13,0.254980,7,9,1,5,3 +26,10,31,0.577860,14,0,10,0,2 +27,9,33,0.382450,15,5,2,2,3 +28,9,43,0.921570,8,4,4,1,11 +29,9,40,0.822440,9,3,2,10,5 +30,10,36,0.659560,10,7,6,1,6 +31,9,15,0.428550,7,4,2,8,10 +32,10,20,0.337810,9,9,5,1,8 +33,9,4,0.157330,9,17,1,3,3 +34,10,39,0.606240,11,5,3,11,4 +35,9,36,0.231220,6,12,9,1,7 +36,10,29,0.781150,10,7,3,8,8 +37,10,49,0.547520,7,9,9,10,2 +38,10,21,0.435000,13,1,18,1,5 +39,10,87,0.717520,15,2,2,10,10 +40,9,25,0.146140,11,12,8,6,3 +41,10,41,0.313920,9,8,1,8,15 +42,9,26,0.207890,18,1,6,8,9 +43,10,33,0.505710,13,7,11,10,2 +44,10,24,0.667130,9,5,12,3,15 +45,10,30,0.357830,14,8,8,1,14 +46,10,29,0.826610,18,0,2,14,12 +47,10,37,0.467020,16,4,13,11,3 +48,10,6,0.654320,10,9,5,13,11 +49,9,29,0.677860,16,9,0,11,13 +50,10,26,0.435440,7,11,8,17,7 diff --git a/src/utils/combinationKIrace.c b/src/utils/combinationKIrace.c new file mode 100644 index 000000000..a8ca5ca6e --- /dev/null +++ b/src/utils/combinationKIrace.c @@ -0,0 +1,57 @@ +#include +#include + +void generateCombinations(int n, int arr[], int index, int ***result, int *size, int k) { + if (index == n) { + *result = (int **)realloc(*result, (*size + 1) * sizeof(int *)); + (*result)[*size] = (int *)malloc(n * sizeof(int)); + for (int i = 0; i < n; i++) { + (*result)[*size][i] = arr[i]; + } + (*size)++; + return; + } + + for (int i = (index == 0) ? 0 : arr[index - 1]; i <= k; i++) { + arr[index] = i; + generateCombinations(n, arr, index + 1, result, size, k); + } +} + +int main(int argc, char *argv[]) { + + if (argc != 3) { + printf("Usage: %s \n", argv[0]); + return 1; + } + + int n = atoi(argv[1]); + int k = atoi(argv[2]); + + int arr[n]; + int **combinations = NULL; + int size = 0; + + generateCombinations(n, arr, 0, &combinations, &size, k); + printf("(") ; + + for (int i = 0; i < size; i++) { + printf("\""); + for (int j = 0; j < n; j++) { + if (j > 0) { + printf(","); + } + printf("%d", combinations[i][j]); + } + + printf("\""); + if(i+1 < size) + printf(","); + free(combinations[i]); + } + printf(")") ; + + free(combinations); + + return 0; +} diff --git a/src/utils/sequencia.txt b/src/utils/sequencia.txt new file mode 100644 index 000000000..c7b817596 --- /dev/null +++ b/src/utils/sequencia.txt @@ -0,0 +1,25 @@ + +("0,0","0,1","0,2","0,3","0,4","1,1","1,2","1,3","1,4","2,2","2,3","2,4","3,3","3,4","4,4") +("0,0,0","0,0,1","0,0,2","0,0,3","0,0,4","0,1,1","0,1,2","0,1,3","0,1,4","0,2,2","0,2,3","0,2,4","0,3,3","0,3,4","0,4,4","1,1,1","1,1,2","1,1,3","1,1,4","1,2,2","1,2,3","1,2,4","1,3,3","1,3,4","1,4,4","2,2,2","2,2,3","2,2,4","2,3,3","2,3,4","2,4,4","3,3,3","3,3,4","3,4,4","4,4,4") +("0,0,0,0","0,0,0,1","0,0,0,2","0,0,0,3","0,0,0,4","0,0,1,1","0,0,1,2","0,0,1,3","0,0,1,4","0,0,2,2","0,0,2,3","0,0,2,4","0,0,3,3","0,0,3,4","0,0,4,4","0,1,1,1","0,1,1,2","0,1,1,3","0,1,1,4","0,1,2,2","0,1,2,3","0,1,2,4","0,1,3,3","0,1,3,4","0,1,4,4","0,2,2,2","0,2,2,3","0,2,2,4","0,2,3,3","0,2,3,4","0,2,4,4","0,3,3,3","0,3,3,4","0,3,4,4","0,4,4,4","1,1,1,1","1,1,1,2","1,1,1,3","1,1,1,4","1,1,2,2","1,1,2,3","1,1,2,4","1,1,3,3","1,1,3,4","1,1,4,4","1,2,2,2","1,2,2,3","1,2,2,4","1,2,3,3","1,2,3,4","1,2,4,4","1,3,3,3","1,3,3,4","1,3,4,4","1,4,4,4","2,2,2,2","2,2,2,3","2,2,2,4","2,2,3,3","2,2,3,4","2,2,4,4","2,3,3,3","2,3,3,4","2,3,4,4","2,4,4,4","3,3,3,3","3,3,3,4","3,3,4,4","3,4,4,4","4,4,4,4") +("0,0,0,0,0","0,0,0,0,1","0,0,0,0,2","0,0,0,0,3","0,0,0,0,4","0,0,0,1,1","0,0,0,1,2","0,0,0,1,3","0,0,0,1,4","0,0,0,2,2","0,0,0,2,3","0,0,0,2,4","0,0,0,3,3","0,0,0,3,4","0,0,0,4,4","0,0,1,1,1","0,0,1,1,2","0,0,1,1,3","0,0,1,1,4","0,0,1,2,2","0,0,1,2,3","0,0,1,2,4","0,0,1,3,3","0,0,1,3,4","0,0,1,4,4","0,0,2,2,2","0,0,2,2,3","0,0,2,2,4","0,0,2,3,3","0,0,2,3,4","0,0,2,4,4","0,0,3,3,3","0,0,3,3,4","0,0,3,4,4","0,0,4,4,4","0,1,1,1,1","0,1,1,1,2","0,1,1,1,3","0,1,1,1,4","0,1,1,2,2","0,1,1,2,3","0,1,1,2,4","0,1,1,3,3","0,1,1,3,4","0,1,1,4,4","0,1,2,2,2","0,1,2,2,3","0,1,2,2,4","0,1,2,3,3","0,1,2,3,4","0,1,2,4,4","0,1,3,3,3","0,1,3,3,4","0,1,3,4,4","0,1,4,4,4","0,2,2,2,2","0,2,2,2,3","0,2,2,2,4","0,2,2,3,3","0,2,2,3,4","0,2,2,4,4","0,2,3,3,3","0,2,3,3,4","0,2,3,4,4","0,2,4,4,4","0,3,3,3,3","0,3,3,3,4","0,3,3,4,4","0,3,4,4,4","0,4,4,4,4","1,1,1,1,1","1,1,1,1,2","1,1,1,1,3","1,1,1,1,4","1,1,1,2,2","1,1,1,2,3","1,1,1,2,4","1,1,1,3,3","1,1,1,3,4","1,1,1,4,4","1,1,2,2,2","1,1,2,2,3","1,1,2,2,4","1,1,2,3,3","1,1,2,3,4","1,1,2,4,4","1,1,3,3,3","1,1,3,3,4","1,1,3,4,4","1,1,4,4,4","1,2,2,2,2","1,2,2,2,3","1,2,2,2,4","1,2,2,3,3","1,2,2,3,4","1,2,2,4,4","1,2,3,3,3","1,2,3,3,4","1,2,3,4,4","1,2,4,4,4","1,3,3,3,3","1,3,3,3,4","1,3,3,4,4","1,3,4,4,4","1,4,4,4,4","2,2,2,2,2","2,2,2,2,3","2,2,2,2,4","2,2,2,3,3","2,2,2,3,4","2,2,2,4,4","2,2,3,3,3","2,2,3,3,4","2,2,3,4,4","2,2,4,4,4","2,3,3,3,3","2,3,3,3,4","2,3,3,4,4","2,3,4,4,4","2,4,4,4,4","3,3,3,3,3","3,3,3,3,4","3,3,3,4,4","3,3,4,4,4","3,4,4,4,4","4,4,4,4,4") +("0,0,0,0,0,0","0,0,0,0,0,1","0,0,0,0,0,2","0,0,0,0,0,3","0,0,0,0,0,4","0,0,0,0,1,1","0,0,0,0,1,2","0,0,0,0,1,3","0,0,0,0,1,4","0,0,0,0,2,2","0,0,0,0,2,3","0,0,0,0,2,4","0,0,0,0,3,3","0,0,0,0,3,4","0,0,0,0,4,4","0,0,0,1,1,1","0,0,0,1,1,2","0,0,0,1,1,3","0,0,0,1,1,4","0,0,0,1,2,2","0,0,0,1,2,3","0,0,0,1,2,4","0,0,0,1,3,3","0,0,0,1,3,4","0,0,0,1,4,4","0,0,0,2,2,2","0,0,0,2,2,3","0,0,0,2,2,4","0,0,0,2,3,3","0,0,0,2,3,4","0,0,0,2,4,4","0,0,0,3,3,3","0,0,0,3,3,4","0,0,0,3,4,4","0,0,0,4,4,4","0,0,1,1,1,1","0,0,1,1,1,2","0,0,1,1,1,3","0,0,1,1,1,4","0,0,1,1,2,2","0,0,1,1,2,3","0,0,1,1,2,4","0,0,1,1,3,3","0,0,1,1,3,4","0,0,1,1,4,4","0,0,1,2,2,2","0,0,1,2,2,3","0,0,1,2,2,4","0,0,1,2,3,3","0,0,1,2,3,4","0,0,1,2,4,4","0,0,1,3,3,3","0,0,1,3,3,4","0,0,1,3,4,4","0,0,1,4,4,4","0,0,2,2,2,2","0,0,2,2,2,3","0,0,2,2,2,4","0,0,2,2,3,3","0,0,2,2,3,4","0,0,2,2,4,4","0,0,2,3,3,3","0,0,2,3,3,4","0,0,2,3,4,4","0,0,2,4,4,4","0,0,3,3,3,3","0,0,3,3,3,4","0,0,3,3,4,4","0,0,3,4,4,4","0,0,4,4,4,4","0,1,1,1,1,1","0,1,1,1,1,2","0,1,1,1,1,3","0,1,1,1,1,4","0,1,1,1,2,2","0,1,1,1,2,3","0,1,1,1,2,4","0,1,1,1,3,3","0,1,1,1,3,4","0,1,1,1,4,4","0,1,1,2,2,2","0,1,1,2,2,3","0,1,1,2,2,4","0,1,1,2,3,3","0,1,1,2,3,4","0,1,1,2,4,4","0,1,1,3,3,3","0,1,1,3,3,4","0,1,1,3,4,4","0,1,1,4,4,4","0,1,2,2,2,2","0,1,2,2,2,3","0,1,2,2,2,4","0,1,2,2,3,3","0,1,2,2,3,4","0,1,2,2,4,4","0,1,2,3,3,3","0,1,2,3,3,4","0,1,2,3,4,4","0,1,2,4,4,4","0,1,3,3,3,3","0,1,3,3,3,4","0,1,3,3,4,4","0,1,3,4,4,4","0,1,4,4,4,4","0,2,2,2,2,2","0,2,2,2,2,3","0,2,2,2,2,4","0,2,2,2,3,3","0,2,2,2,3,4","0,2,2,2,4,4","0,2,2,3,3,3","0,2,2,3,3,4","0,2,2,3,4,4","0,2,2,4,4,4","0,2,3,3,3,3","0,2,3,3,3,4","0,2,3,3,4,4","0,2,3,4,4,4","0,2,4,4,4,4","0,3,3,3,3,3","0,3,3,3,3,4","0,3,3,3,4,4","0,3,3,4,4,4","0,3,4,4,4,4","0,4,4,4,4,4","1,1,1,1,1,1","1,1,1,1,1,2","1,1,1,1,1,3","1,1,1,1,1,4","1,1,1,1,2,2","1,1,1,1,2,3","1,1,1,1,2,4","1,1,1,1,3,3","1,1,1,1,3,4","1,1,1,1,4,4","1,1,1,2,2,2","1,1,1,2,2,3","1,1,1,2,2,4","1,1,1,2,3,3","1,1,1,2,3,4","1,1,1,2,4,4","1,1,1,3,3,3","1,1,1,3,3,4","1,1,1,3,4,4","1,1,1,4,4,4","1,1,2,2,2,2","1,1,2,2,2,3","1,1,2,2,2,4","1,1,2,2,3,3","1,1,2,2,3,4","1,1,2,2,4,4","1,1,2,3,3,3","1,1,2,3,3,4","1,1,2,3,4,4","1,1,2,4,4,4","1,1,3,3,3,3","1,1,3,3,3,4","1,1,3,3,4,4","1,1,3,4,4,4","1,1,4,4,4,4","1,2,2,2,2,2","1,2,2,2,2,3","1,2,2,2,2,4","1,2,2,2,3,3","1,2,2,2,3,4","1,2,2,2,4,4","1,2,2,3,3,3","1,2,2,3,3,4","1,2,2,3,4,4","1,2,2,4,4,4","1,2,3,3,3,3","1,2,3,3,3,4","1,2,3,3,4,4","1,2,3,4,4,4","1,2,4,4,4,4","1,3,3,3,3,3","1,3,3,3,3,4","1,3,3,3,4,4","1,3,3,4,4,4","1,3,4,4,4,4","1,4,4,4,4,4","2,2,2,2,2,2","2,2,2,2,2,3","2,2,2,2,2,4","2,2,2,2,3,3","2,2,2,2,3,4","2,2,2,2,4,4","2,2,2,3,3,3","2,2,2,3,3,4","2,2,2,3,4,4","2,2,2,4,4,4","2,2,3,3,3,3","2,2,3,3,3,4","2,2,3,3,4,4","2,2,3,4,4,4","2,2,4,4,4,4","2,3,3,3,3,3","2,3,3,3,3,4","2,3,3,3,4,4","2,3,3,4,4,4","2,3,4,4,4,4","2,4,4,4,4,4","3,3,3,3,3,3","3,3,3,3,3,4","3,3,3,3,4,4","3,3,3,4,4,4","3,3,4,4,4,4","3,4,4,4,4,4","4,4,4,4,4,4") +("0,0,0,0,0,0,0","0,0,0,0,0,0,1","0,0,0,0,0,0,2","0,0,0,0,0,0,3","0,0,0,0,0,0,4","0,0,0,0,0,1,1","0,0,0,0,0,1,2","0,0,0,0,0,1,3","0,0,0,0,0,1,4","0,0,0,0,0,2,2","0,0,0,0,0,2,3","0,0,0,0,0,2,4","0,0,0,0,0,3,3","0,0,0,0,0,3,4","0,0,0,0,0,4,4","0,0,0,0,1,1,1","0,0,0,0,1,1,2","0,0,0,0,1,1,3","0,0,0,0,1,1,4","0,0,0,0,1,2,2","0,0,0,0,1,2,3","0,0,0,0,1,2,4","0,0,0,0,1,3,3","0,0,0,0,1,3,4","0,0,0,0,1,4,4","0,0,0,0,2,2,2","0,0,0,0,2,2,3","0,0,0,0,2,2,4","0,0,0,0,2,3,3","0,0,0,0,2,3,4","0,0,0,0,2,4,4","0,0,0,0,3,3,3","0,0,0,0,3,3,4","0,0,0,0,3,4,4","0,0,0,0,4,4,4","0,0,0,1,1,1,1","0,0,0,1,1,1,2","0,0,0,1,1,1,3","0,0,0,1,1,1,4","0,0,0,1,1,2,2","0,0,0,1,1,2,3","0,0,0,1,1,2,4","0,0,0,1,1,3,3","0,0,0,1,1,3,4","0,0,0,1,1,4,4","0,0,0,1,2,2,2","0,0,0,1,2,2,3","0,0,0,1,2,2,4","0,0,0,1,2,3,3","0,0,0,1,2,3,4","0,0,0,1,2,4,4","0,0,0,1,3,3,3","0,0,0,1,3,3,4","0,0,0,1,3,4,4","0,0,0,1,4,4,4","0,0,0,2,2,2,2","0,0,0,2,2,2,3","0,0,0,2,2,2,4","0,0,0,2,2,3,3","0,0,0,2,2,3,4","0,0,0,2,2,4,4","0,0,0,2,3,3,3","0,0,0,2,3,3,4","0,0,0,2,3,4,4","0,0,0,2,4,4,4","0,0,0,3,3,3,3","0,0,0,3,3,3,4","0,0,0,3,3,4,4","0,0,0,3,4,4,4","0,0,0,4,4,4,4","0,0,1,1,1,1,1","0,0,1,1,1,1,2","0,0,1,1,1,1,3","0,0,1,1,1,1,4","0,0,1,1,1,2,2","0,0,1,1,1,2,3","0,0,1,1,1,2,4","0,0,1,1,1,3,3","0,0,1,1,1,3,4","0,0,1,1,1,4,4","0,0,1,1,2,2,2","0,0,1,1,2,2,3","0,0,1,1,2,2,4","0,0,1,1,2,3,3","0,0,1,1,2,3,4","0,0,1,1,2,4,4","0,0,1,1,3,3,3","0,0,1,1,3,3,4","0,0,1,1,3,4,4","0,0,1,1,4,4,4","0,0,1,2,2,2,2","0,0,1,2,2,2,3","0,0,1,2,2,2,4","0,0,1,2,2,3,3","0,0,1,2,2,3,4","0,0,1,2,2,4,4","0,0,1,2,3,3,3","0,0,1,2,3,3,4","0,0,1,2,3,4,4","0,0,1,2,4,4,4","0,0,1,3,3,3,3","0,0,1,3,3,3,4","0,0,1,3,3,4,4","0,0,1,3,4,4,4","0,0,1,4,4,4,4","0,0,2,2,2,2,2","0,0,2,2,2,2,3","0,0,2,2,2,2,4","0,0,2,2,2,3,3","0,0,2,2,2,3,4","0,0,2,2,2,4,4","0,0,2,2,3,3,3","0,0,2,2,3,3,4","0,0,2,2,3,4,4","0,0,2,2,4,4,4","0,0,2,3,3,3,3","0,0,2,3,3,3,4","0,0,2,3,3,4,4","0,0,2,3,4,4,4","0,0,2,4,4,4,4","0,0,3,3,3,3,3","0,0,3,3,3,3,4","0,0,3,3,3,4,4","0,0,3,3,4,4,4","0,0,3,4,4,4,4","0,0,4,4,4,4,4","0,1,1,1,1,1,1","0,1,1,1,1,1,2","0,1,1,1,1,1,3","0,1,1,1,1,1,4","0,1,1,1,1,2,2","0,1,1,1,1,2,3","0,1,1,1,1,2,4","0,1,1,1,1,3,3","0,1,1,1,1,3,4","0,1,1,1,1,4,4","0,1,1,1,2,2,2","0,1,1,1,2,2,3","0,1,1,1,2,2,4","0,1,1,1,2,3,3","0,1,1,1,2,3,4","0,1,1,1,2,4,4","0,1,1,1,3,3,3","0,1,1,1,3,3,4","0,1,1,1,3,4,4","0,1,1,1,4,4,4","0,1,1,2,2,2,2","0,1,1,2,2,2,3","0,1,1,2,2,2,4","0,1,1,2,2,3,3","0,1,1,2,2,3,4","0,1,1,2,2,4,4","0,1,1,2,3,3,3","0,1,1,2,3,3,4","0,1,1,2,3,4,4","0,1,1,2,4,4,4","0,1,1,3,3,3,3","0,1,1,3,3,3,4","0,1,1,3,3,4,4","0,1,1,3,4,4,4","0,1,1,4,4,4,4","0,1,2,2,2,2,2","0,1,2,2,2,2,3","0,1,2,2,2,2,4","0,1,2,2,2,3,3","0,1,2,2,2,3,4","0,1,2,2,2,4,4","0,1,2,2,3,3,3","0,1,2,2,3,3,4","0,1,2,2,3,4,4","0,1,2,2,4,4,4","0,1,2,3,3,3,3","0,1,2,3,3,3,4","0,1,2,3,3,4,4","0,1,2,3,4,4,4","0,1,2,4,4,4,4","0,1,3,3,3,3,3","0,1,3,3,3,3,4","0,1,3,3,3,4,4","0,1,3,3,4,4,4","0,1,3,4,4,4,4","0,1,4,4,4,4,4","0,2,2,2,2,2,2","0,2,2,2,2,2,3","0,2,2,2,2,2,4","0,2,2,2,2,3,3","0,2,2,2,2,3,4","0,2,2,2,2,4,4","0,2,2,2,3,3,3","0,2,2,2,3,3,4","0,2,2,2,3,4,4","0,2,2,2,4,4,4","0,2,2,3,3,3,3","0,2,2,3,3,3,4","0,2,2,3,3,4,4","0,2,2,3,4,4,4","0,2,2,4,4,4,4","0,2,3,3,3,3,3","0,2,3,3,3,3,4","0,2,3,3,3,4,4","0,2,3,3,4,4,4","0,2,3,4,4,4,4","0,2,4,4,4,4,4","0,3,3,3,3,3,3","0,3,3,3,3,3,4","0,3,3,3,3,4,4","0,3,3,3,4,4,4","0,3,3,4,4,4,4","0,3,4,4,4,4,4","0,4,4,4,4,4,4","1,1,1,1,1,1,1","1,1,1,1,1,1,2","1,1,1,1,1,1,3","1,1,1,1,1,1,4","1,1,1,1,1,2,2","1,1,1,1,1,2,3","1,1,1,1,1,2,4","1,1,1,1,1,3,3","1,1,1,1,1,3,4","1,1,1,1,1,4,4","1,1,1,1,2,2,2","1,1,1,1,2,2,3","1,1,1,1,2,2,4","1,1,1,1,2,3,3","1,1,1,1,2,3,4","1,1,1,1,2,4,4","1,1,1,1,3,3,3","1,1,1,1,3,3,4","1,1,1,1,3,4,4","1,1,1,1,4,4,4","1,1,1,2,2,2,2","1,1,1,2,2,2,3","1,1,1,2,2,2,4","1,1,1,2,2,3,3","1,1,1,2,2,3,4","1,1,1,2,2,4,4","1,1,1,2,3,3,3","1,1,1,2,3,3,4","1,1,1,2,3,4,4","1,1,1,2,4,4,4","1,1,1,3,3,3,3","1,1,1,3,3,3,4","1,1,1,3,3,4,4","1,1,1,3,4,4,4","1,1,1,4,4,4,4","1,1,2,2,2,2,2","1,1,2,2,2,2,3","1,1,2,2,2,2,4","1,1,2,2,2,3,3","1,1,2,2,2,3,4","1,1,2,2,2,4,4","1,1,2,2,3,3,3","1,1,2,2,3,3,4","1,1,2,2,3,4,4","1,1,2,2,4,4,4","1,1,2,3,3,3,3","1,1,2,3,3,3,4","1,1,2,3,3,4,4","1,1,2,3,4,4,4","1,1,2,4,4,4,4","1,1,3,3,3,3,3","1,1,3,3,3,3,4","1,1,3,3,3,4,4","1,1,3,3,4,4,4","1,1,3,4,4,4,4","1,1,4,4,4,4,4","1,2,2,2,2,2,2","1,2,2,2,2,2,3","1,2,2,2,2,2,4","1,2,2,2,2,3,3","1,2,2,2,2,3,4","1,2,2,2,2,4,4","1,2,2,2,3,3,3","1,2,2,2,3,3,4","1,2,2,2,3,4,4","1,2,2,2,4,4,4","1,2,2,3,3,3,3","1,2,2,3,3,3,4","1,2,2,3,3,4,4","1,2,2,3,4,4,4","1,2,2,4,4,4,4","1,2,3,3,3,3,3","1,2,3,3,3,3,4","1,2,3,3,3,4,4","1,2,3,3,4,4,4","1,2,3,4,4,4,4","1,2,4,4,4,4,4","1,3,3,3,3,3,3","1,3,3,3,3,3,4","1,3,3,3,3,4,4","1,3,3,3,4,4,4","1,3,3,4,4,4,4","1,3,4,4,4,4,4","1,4,4,4,4,4,4","2,2,2,2,2,2,2","2,2,2,2,2,2,3","2,2,2,2,2,2,4","2,2,2,2,2,3,3","2,2,2,2,2,3,4","2,2,2,2,2,4,4","2,2,2,2,3,3,3","2,2,2,2,3,3,4","2,2,2,2,3,4,4","2,2,2,2,4,4,4","2,2,2,3,3,3,3","2,2,2,3,3,3,4","2,2,2,3,3,4,4","2,2,2,3,4,4,4","2,2,2,4,4,4,4","2,2,3,3,3,3,3","2,2,3,3,3,3,4","2,2,3,3,3,4,4","2,2,3,3,4,4,4","2,2,3,4,4,4,4","2,2,4,4,4,4,4","2,3,3,3,3,3,3","2,3,3,3,3,3,4","2,3,3,3,3,4,4","2,3,3,3,4,4,4","2,3,3,4,4,4,4","2,3,4,4,4,4,4","2,4,4,4,4,4,4","3,3,3,3,3,3,3","3,3,3,3,3,3,4","3,3,3,3,3,4,4","3,3,3,3,4,4,4","3,3,3,4,4,4,4","3,3,4,4,4,4,4","3,4,4,4,4,4,4","4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,4","0,0,0,0,0,0,1,1","0,0,0,0,0,0,1,2","0,0,0,0,0,0,1,3","0,0,0,0,0,0,1,4","0,0,0,0,0,0,2,2","0,0,0,0,0,0,2,3","0,0,0,0,0,0,2,4","0,0,0,0,0,0,3,3","0,0,0,0,0,0,3,4","0,0,0,0,0,0,4,4","0,0,0,0,0,1,1,1","0,0,0,0,0,1,1,2","0,0,0,0,0,1,1,3","0,0,0,0,0,1,1,4","0,0,0,0,0,1,2,2","0,0,0,0,0,1,2,3","0,0,0,0,0,1,2,4","0,0,0,0,0,1,3,3","0,0,0,0,0,1,3,4","0,0,0,0,0,1,4,4","0,0,0,0,0,2,2,2","0,0,0,0,0,2,2,3","0,0,0,0,0,2,2,4","0,0,0,0,0,2,3,3","0,0,0,0,0,2,3,4","0,0,0,0,0,2,4,4","0,0,0,0,0,3,3,3","0,0,0,0,0,3,3,4","0,0,0,0,0,3,4,4","0,0,0,0,0,4,4,4","0,0,0,0,1,1,1,1","0,0,0,0,1,1,1,2","0,0,0,0,1,1,1,3","0,0,0,0,1,1,1,4","0,0,0,0,1,1,2,2","0,0,0,0,1,1,2,3","0,0,0,0,1,1,2,4","0,0,0,0,1,1,3,3","0,0,0,0,1,1,3,4","0,0,0,0,1,1,4,4","0,0,0,0,1,2,2,2","0,0,0,0,1,2,2,3","0,0,0,0,1,2,2,4","0,0,0,0,1,2,3,3","0,0,0,0,1,2,3,4","0,0,0,0,1,2,4,4","0,0,0,0,1,3,3,3","0,0,0,0,1,3,3,4","0,0,0,0,1,3,4,4","0,0,0,0,1,4,4,4","0,0,0,0,2,2,2,2","0,0,0,0,2,2,2,3","0,0,0,0,2,2,2,4","0,0,0,0,2,2,3,3","0,0,0,0,2,2,3,4","0,0,0,0,2,2,4,4","0,0,0,0,2,3,3,3","0,0,0,0,2,3,3,4","0,0,0,0,2,3,4,4","0,0,0,0,2,4,4,4","0,0,0,0,3,3,3,3","0,0,0,0,3,3,3,4","0,0,0,0,3,3,4,4","0,0,0,0,3,4,4,4","0,0,0,0,4,4,4,4","0,0,0,1,1,1,1,1","0,0,0,1,1,1,1,2","0,0,0,1,1,1,1,3","0,0,0,1,1,1,1,4","0,0,0,1,1,1,2,2","0,0,0,1,1,1,2,3","0,0,0,1,1,1,2,4","0,0,0,1,1,1,3,3","0,0,0,1,1,1,3,4","0,0,0,1,1,1,4,4","0,0,0,1,1,2,2,2","0,0,0,1,1,2,2,3","0,0,0,1,1,2,2,4","0,0,0,1,1,2,3,3","0,0,0,1,1,2,3,4","0,0,0,1,1,2,4,4","0,0,0,1,1,3,3,3","0,0,0,1,1,3,3,4","0,0,0,1,1,3,4,4","0,0,0,1,1,4,4,4","0,0,0,1,2,2,2,2","0,0,0,1,2,2,2,3","0,0,0,1,2,2,2,4","0,0,0,1,2,2,3,3","0,0,0,1,2,2,3,4","0,0,0,1,2,2,4,4","0,0,0,1,2,3,3,3","0,0,0,1,2,3,3,4","0,0,0,1,2,3,4,4","0,0,0,1,2,4,4,4","0,0,0,1,3,3,3,3","0,0,0,1,3,3,3,4","0,0,0,1,3,3,4,4","0,0,0,1,3,4,4,4","0,0,0,1,4,4,4,4","0,0,0,2,2,2,2,2","0,0,0,2,2,2,2,3","0,0,0,2,2,2,2,4","0,0,0,2,2,2,3,3","0,0,0,2,2,2,3,4","0,0,0,2,2,2,4,4","0,0,0,2,2,3,3,3","0,0,0,2,2,3,3,4","0,0,0,2,2,3,4,4","0,0,0,2,2,4,4,4","0,0,0,2,3,3,3,3","0,0,0,2,3,3,3,4","0,0,0,2,3,3,4,4","0,0,0,2,3,4,4,4","0,0,0,2,4,4,4,4","0,0,0,3,3,3,3,3","0,0,0,3,3,3,3,4","0,0,0,3,3,3,4,4","0,0,0,3,3,4,4,4","0,0,0,3,4,4,4,4","0,0,0,4,4,4,4,4","0,0,1,1,1,1,1,1","0,0,1,1,1,1,1,2","0,0,1,1,1,1,1,3","0,0,1,1,1,1,1,4","0,0,1,1,1,1,2,2","0,0,1,1,1,1,2,3","0,0,1,1,1,1,2,4","0,0,1,1,1,1,3,3","0,0,1,1,1,1,3,4","0,0,1,1,1,1,4,4","0,0,1,1,1,2,2,2","0,0,1,1,1,2,2,3","0,0,1,1,1,2,2,4","0,0,1,1,1,2,3,3","0,0,1,1,1,2,3,4","0,0,1,1,1,2,4,4","0,0,1,1,1,3,3,3","0,0,1,1,1,3,3,4","0,0,1,1,1,3,4,4","0,0,1,1,1,4,4,4","0,0,1,1,2,2,2,2","0,0,1,1,2,2,2,3","0,0,1,1,2,2,2,4","0,0,1,1,2,2,3,3","0,0,1,1,2,2,3,4","0,0,1,1,2,2,4,4","0,0,1,1,2,3,3,3","0,0,1,1,2,3,3,4","0,0,1,1,2,3,4,4","0,0,1,1,2,4,4,4","0,0,1,1,3,3,3,3","0,0,1,1,3,3,3,4","0,0,1,1,3,3,4,4","0,0,1,1,3,4,4,4","0,0,1,1,4,4,4,4","0,0,1,2,2,2,2,2","0,0,1,2,2,2,2,3","0,0,1,2,2,2,2,4","0,0,1,2,2,2,3,3","0,0,1,2,2,2,3,4","0,0,1,2,2,2,4,4","0,0,1,2,2,3,3,3","0,0,1,2,2,3,3,4","0,0,1,2,2,3,4,4","0,0,1,2,2,4,4,4","0,0,1,2,3,3,3,3","0,0,1,2,3,3,3,4","0,0,1,2,3,3,4,4","0,0,1,2,3,4,4,4","0,0,1,2,4,4,4,4","0,0,1,3,3,3,3,3","0,0,1,3,3,3,3,4","0,0,1,3,3,3,4,4","0,0,1,3,3,4,4,4","0,0,1,3,4,4,4,4","0,0,1,4,4,4,4,4","0,0,2,2,2,2,2,2","0,0,2,2,2,2,2,3","0,0,2,2,2,2,2,4","0,0,2,2,2,2,3,3","0,0,2,2,2,2,3,4","0,0,2,2,2,2,4,4","0,0,2,2,2,3,3,3","0,0,2,2,2,3,3,4","0,0,2,2,2,3,4,4","0,0,2,2,2,4,4,4","0,0,2,2,3,3,3,3","0,0,2,2,3,3,3,4","0,0,2,2,3,3,4,4","0,0,2,2,3,4,4,4","0,0,2,2,4,4,4,4","0,0,2,3,3,3,3,3","0,0,2,3,3,3,3,4","0,0,2,3,3,3,4,4","0,0,2,3,3,4,4,4","0,0,2,3,4,4,4,4","0,0,2,4,4,4,4,4","0,0,3,3,3,3,3,3","0,0,3,3,3,3,3,4","0,0,3,3,3,3,4,4","0,0,3,3,3,4,4,4","0,0,3,3,4,4,4,4","0,0,3,4,4,4,4,4","0,0,4,4,4,4,4,4","0,1,1,1,1,1,1,1","0,1,1,1,1,1,1,2","0,1,1,1,1,1,1,3","0,1,1,1,1,1,1,4","0,1,1,1,1,1,2,2","0,1,1,1,1,1,2,3","0,1,1,1,1,1,2,4","0,1,1,1,1,1,3,3","0,1,1,1,1,1,3,4","0,1,1,1,1,1,4,4","0,1,1,1,1,2,2,2","0,1,1,1,1,2,2,3","0,1,1,1,1,2,2,4","0,1,1,1,1,2,3,3","0,1,1,1,1,2,3,4","0,1,1,1,1,2,4,4","0,1,1,1,1,3,3,3","0,1,1,1,1,3,3,4","0,1,1,1,1,3,4,4","0,1,1,1,1,4,4,4","0,1,1,1,2,2,2,2","0,1,1,1,2,2,2,3","0,1,1,1,2,2,2,4","0,1,1,1,2,2,3,3","0,1,1,1,2,2,3,4","0,1,1,1,2,2,4,4","0,1,1,1,2,3,3,3","0,1,1,1,2,3,3,4","0,1,1,1,2,3,4,4","0,1,1,1,2,4,4,4","0,1,1,1,3,3,3,3","0,1,1,1,3,3,3,4","0,1,1,1,3,3,4,4","0,1,1,1,3,4,4,4","0,1,1,1,4,4,4,4","0,1,1,2,2,2,2,2","0,1,1,2,2,2,2,3","0,1,1,2,2,2,2,4","0,1,1,2,2,2,3,3","0,1,1,2,2,2,3,4","0,1,1,2,2,2,4,4","0,1,1,2,2,3,3,3","0,1,1,2,2,3,3,4","0,1,1,2,2,3,4,4","0,1,1,2,2,4,4,4","0,1,1,2,3,3,3,3","0,1,1,2,3,3,3,4","0,1,1,2,3,3,4,4","0,1,1,2,3,4,4,4","0,1,1,2,4,4,4,4","0,1,1,3,3,3,3,3","0,1,1,3,3,3,3,4","0,1,1,3,3,3,4,4","0,1,1,3,3,4,4,4","0,1,1,3,4,4,4,4","0,1,1,4,4,4,4,4","0,1,2,2,2,2,2,2","0,1,2,2,2,2,2,3","0,1,2,2,2,2,2,4","0,1,2,2,2,2,3,3","0,1,2,2,2,2,3,4","0,1,2,2,2,2,4,4","0,1,2,2,2,3,3,3","0,1,2,2,2,3,3,4","0,1,2,2,2,3,4,4","0,1,2,2,2,4,4,4","0,1,2,2,3,3,3,3","0,1,2,2,3,3,3,4","0,1,2,2,3,3,4,4","0,1,2,2,3,4,4,4","0,1,2,2,4,4,4,4","0,1,2,3,3,3,3,3","0,1,2,3,3,3,3,4","0,1,2,3,3,3,4,4","0,1,2,3,3,4,4,4","0,1,2,3,4,4,4,4","0,1,2,4,4,4,4,4","0,1,3,3,3,3,3,3","0,1,3,3,3,3,3,4","0,1,3,3,3,3,4,4","0,1,3,3,3,4,4,4","0,1,3,3,4,4,4,4","0,1,3,4,4,4,4,4","0,1,4,4,4,4,4,4","0,2,2,2,2,2,2,2","0,2,2,2,2,2,2,3","0,2,2,2,2,2,2,4","0,2,2,2,2,2,3,3","0,2,2,2,2,2,3,4","0,2,2,2,2,2,4,4","0,2,2,2,2,3,3,3","0,2,2,2,2,3,3,4","0,2,2,2,2,3,4,4","0,2,2,2,2,4,4,4","0,2,2,2,3,3,3,3","0,2,2,2,3,3,3,4","0,2,2,2,3,3,4,4","0,2,2,2,3,4,4,4","0,2,2,2,4,4,4,4","0,2,2,3,3,3,3,3","0,2,2,3,3,3,3,4","0,2,2,3,3,3,4,4","0,2,2,3,3,4,4,4","0,2,2,3,4,4,4,4","0,2,2,4,4,4,4,4","0,2,3,3,3,3,3,3","0,2,3,3,3,3,3,4","0,2,3,3,3,3,4,4","0,2,3,3,3,4,4,4","0,2,3,3,4,4,4,4","0,2,3,4,4,4,4,4","0,2,4,4,4,4,4,4","0,3,3,3,3,3,3,3","0,3,3,3,3,3,3,4","0,3,3,3,3,3,4,4","0,3,3,3,3,4,4,4","0,3,3,3,4,4,4,4","0,3,3,4,4,4,4,4","0,3,4,4,4,4,4,4","0,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,4","1,1,1,1,1,1,2,2","1,1,1,1,1,1,2,3","1,1,1,1,1,1,2,4","1,1,1,1,1,1,3,3","1,1,1,1,1,1,3,4","1,1,1,1,1,1,4,4","1,1,1,1,1,2,2,2","1,1,1,1,1,2,2,3","1,1,1,1,1,2,2,4","1,1,1,1,1,2,3,3","1,1,1,1,1,2,3,4","1,1,1,1,1,2,4,4","1,1,1,1,1,3,3,3","1,1,1,1,1,3,3,4","1,1,1,1,1,3,4,4","1,1,1,1,1,4,4,4","1,1,1,1,2,2,2,2","1,1,1,1,2,2,2,3","1,1,1,1,2,2,2,4","1,1,1,1,2,2,3,3","1,1,1,1,2,2,3,4","1,1,1,1,2,2,4,4","1,1,1,1,2,3,3,3","1,1,1,1,2,3,3,4","1,1,1,1,2,3,4,4","1,1,1,1,2,4,4,4","1,1,1,1,3,3,3,3","1,1,1,1,3,3,3,4","1,1,1,1,3,3,4,4","1,1,1,1,3,4,4,4","1,1,1,1,4,4,4,4","1,1,1,2,2,2,2,2","1,1,1,2,2,2,2,3","1,1,1,2,2,2,2,4","1,1,1,2,2,2,3,3","1,1,1,2,2,2,3,4","1,1,1,2,2,2,4,4","1,1,1,2,2,3,3,3","1,1,1,2,2,3,3,4","1,1,1,2,2,3,4,4","1,1,1,2,2,4,4,4","1,1,1,2,3,3,3,3","1,1,1,2,3,3,3,4","1,1,1,2,3,3,4,4","1,1,1,2,3,4,4,4","1,1,1,2,4,4,4,4","1,1,1,3,3,3,3,3","1,1,1,3,3,3,3,4","1,1,1,3,3,3,4,4","1,1,1,3,3,4,4,4","1,1,1,3,4,4,4,4","1,1,1,4,4,4,4,4","1,1,2,2,2,2,2,2","1,1,2,2,2,2,2,3","1,1,2,2,2,2,2,4","1,1,2,2,2,2,3,3","1,1,2,2,2,2,3,4","1,1,2,2,2,2,4,4","1,1,2,2,2,3,3,3","1,1,2,2,2,3,3,4","1,1,2,2,2,3,4,4","1,1,2,2,2,4,4,4","1,1,2,2,3,3,3,3","1,1,2,2,3,3,3,4","1,1,2,2,3,3,4,4","1,1,2,2,3,4,4,4","1,1,2,2,4,4,4,4","1,1,2,3,3,3,3,3","1,1,2,3,3,3,3,4","1,1,2,3,3,3,4,4","1,1,2,3,3,4,4,4","1,1,2,3,4,4,4,4","1,1,2,4,4,4,4,4","1,1,3,3,3,3,3,3","1,1,3,3,3,3,3,4","1,1,3,3,3,3,4,4","1,1,3,3,3,4,4,4","1,1,3,3,4,4,4,4","1,1,3,4,4,4,4,4","1,1,4,4,4,4,4,4","1,2,2,2,2,2,2,2","1,2,2,2,2,2,2,3","1,2,2,2,2,2,2,4","1,2,2,2,2,2,3,3","1,2,2,2,2,2,3,4","1,2,2,2,2,2,4,4","1,2,2,2,2,3,3,3","1,2,2,2,2,3,3,4","1,2,2,2,2,3,4,4","1,2,2,2,2,4,4,4","1,2,2,2,3,3,3,3","1,2,2,2,3,3,3,4","1,2,2,2,3,3,4,4","1,2,2,2,3,4,4,4","1,2,2,2,4,4,4,4","1,2,2,3,3,3,3,3","1,2,2,3,3,3,3,4","1,2,2,3,3,3,4,4","1,2,2,3,3,4,4,4","1,2,2,3,4,4,4,4","1,2,2,4,4,4,4,4","1,2,3,3,3,3,3,3","1,2,3,3,3,3,3,4","1,2,3,3,3,3,4,4","1,2,3,3,3,4,4,4","1,2,3,3,4,4,4,4","1,2,3,4,4,4,4,4","1,2,4,4,4,4,4,4","1,3,3,3,3,3,3,3","1,3,3,3,3,3,3,4","1,3,3,3,3,3,4,4","1,3,3,3,3,4,4,4","1,3,3,3,4,4,4,4","1,3,3,4,4,4,4,4","1,3,4,4,4,4,4,4","1,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,4","2,2,2,2,2,2,3,3","2,2,2,2,2,2,3,4","2,2,2,2,2,2,4,4","2,2,2,2,2,3,3,3","2,2,2,2,2,3,3,4","2,2,2,2,2,3,4,4","2,2,2,2,2,4,4,4","2,2,2,2,3,3,3,3","2,2,2,2,3,3,3,4","2,2,2,2,3,3,4,4","2,2,2,2,3,4,4,4","2,2,2,2,4,4,4,4","2,2,2,3,3,3,3,3","2,2,2,3,3,3,3,4","2,2,2,3,3,3,4,4","2,2,2,3,3,4,4,4","2,2,2,3,4,4,4,4","2,2,2,4,4,4,4,4","2,2,3,3,3,3,3,3","2,2,3,3,3,3,3,4","2,2,3,3,3,3,4,4","2,2,3,3,3,4,4,4","2,2,3,3,4,4,4,4","2,2,3,4,4,4,4,4","2,2,4,4,4,4,4,4","2,3,3,3,3,3,3,3","2,3,3,3,3,3,3,4","2,3,3,3,3,3,4,4","2,3,3,3,3,4,4,4","2,3,3,3,4,4,4,4","2,3,3,4,4,4,4,4","2,3,4,4,4,4,4,4","2,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,4","3,3,3,3,3,3,4,4","3,3,3,3,3,4,4,4","3,3,3,3,4,4,4,4","3,3,3,4,4,4,4,4","3,3,4,4,4,4,4,4","3,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,4,4,4","0,0,0,0,0,1,1,1,1","0,0,0,0,0,1,1,1,2","0,0,0,0,0,1,1,1,3","0,0,0,0,0,1,1,1,4","0,0,0,0,0,1,1,2,2","0,0,0,0,0,1,1,2,3","0,0,0,0,0,1,1,2,4","0,0,0,0,0,1,1,3,3","0,0,0,0,0,1,1,3,4","0,0,0,0,0,1,1,4,4","0,0,0,0,0,1,2,2,2","0,0,0,0,0,1,2,2,3","0,0,0,0,0,1,2,2,4","0,0,0,0,0,1,2,3,3","0,0,0,0,0,1,2,3,4","0,0,0,0,0,1,2,4,4","0,0,0,0,0,1,3,3,3","0,0,0,0,0,1,3,3,4","0,0,0,0,0,1,3,4,4","0,0,0,0,0,1,4,4,4","0,0,0,0,0,2,2,2,2","0,0,0,0,0,2,2,2,3","0,0,0,0,0,2,2,2,4","0,0,0,0,0,2,2,3,3","0,0,0,0,0,2,2,3,4","0,0,0,0,0,2,2,4,4","0,0,0,0,0,2,3,3,3","0,0,0,0,0,2,3,3,4","0,0,0,0,0,2,3,4,4","0,0,0,0,0,2,4,4,4","0,0,0,0,0,3,3,3,3","0,0,0,0,0,3,3,3,4","0,0,0,0,0,3,3,4,4","0,0,0,0,0,3,4,4,4","0,0,0,0,0,4,4,4,4","0,0,0,0,1,1,1,1,1","0,0,0,0,1,1,1,1,2","0,0,0,0,1,1,1,1,3","0,0,0,0,1,1,1,1,4","0,0,0,0,1,1,1,2,2","0,0,0,0,1,1,1,2,3","0,0,0,0,1,1,1,2,4","0,0,0,0,1,1,1,3,3","0,0,0,0,1,1,1,3,4","0,0,0,0,1,1,1,4,4","0,0,0,0,1,1,2,2,2","0,0,0,0,1,1,2,2,3","0,0,0,0,1,1,2,2,4","0,0,0,0,1,1,2,3,3","0,0,0,0,1,1,2,3,4","0,0,0,0,1,1,2,4,4","0,0,0,0,1,1,3,3,3","0,0,0,0,1,1,3,3,4","0,0,0,0,1,1,3,4,4","0,0,0,0,1,1,4,4,4","0,0,0,0,1,2,2,2,2","0,0,0,0,1,2,2,2,3","0,0,0,0,1,2,2,2,4","0,0,0,0,1,2,2,3,3","0,0,0,0,1,2,2,3,4","0,0,0,0,1,2,2,4,4","0,0,0,0,1,2,3,3,3","0,0,0,0,1,2,3,3,4","0,0,0,0,1,2,3,4,4","0,0,0,0,1,2,4,4,4","0,0,0,0,1,3,3,3,3","0,0,0,0,1,3,3,3,4","0,0,0,0,1,3,3,4,4","0,0,0,0,1,3,4,4,4","0,0,0,0,1,4,4,4,4","0,0,0,0,2,2,2,2,2","0,0,0,0,2,2,2,2,3","0,0,0,0,2,2,2,2,4","0,0,0,0,2,2,2,3,3","0,0,0,0,2,2,2,3,4","0,0,0,0,2,2,2,4,4","0,0,0,0,2,2,3,3,3","0,0,0,0,2,2,3,3,4","0,0,0,0,2,2,3,4,4","0,0,0,0,2,2,4,4,4","0,0,0,0,2,3,3,3,3","0,0,0,0,2,3,3,3,4","0,0,0,0,2,3,3,4,4","0,0,0,0,2,3,4,4,4","0,0,0,0,2,4,4,4,4","0,0,0,0,3,3,3,3,3","0,0,0,0,3,3,3,3,4","0,0,0,0,3,3,3,4,4","0,0,0,0,3,3,4,4,4","0,0,0,0,3,4,4,4,4","0,0,0,0,4,4,4,4,4","0,0,0,1,1,1,1,1,1","0,0,0,1,1,1,1,1,2","0,0,0,1,1,1,1,1,3","0,0,0,1,1,1,1,1,4","0,0,0,1,1,1,1,2,2","0,0,0,1,1,1,1,2,3","0,0,0,1,1,1,1,2,4","0,0,0,1,1,1,1,3,3","0,0,0,1,1,1,1,3,4","0,0,0,1,1,1,1,4,4","0,0,0,1,1,1,2,2,2","0,0,0,1,1,1,2,2,3","0,0,0,1,1,1,2,2,4","0,0,0,1,1,1,2,3,3","0,0,0,1,1,1,2,3,4","0,0,0,1,1,1,2,4,4","0,0,0,1,1,1,3,3,3","0,0,0,1,1,1,3,3,4","0,0,0,1,1,1,3,4,4","0,0,0,1,1,1,4,4,4","0,0,0,1,1,2,2,2,2","0,0,0,1,1,2,2,2,3","0,0,0,1,1,2,2,2,4","0,0,0,1,1,2,2,3,3","0,0,0,1,1,2,2,3,4","0,0,0,1,1,2,2,4,4","0,0,0,1,1,2,3,3,3","0,0,0,1,1,2,3,3,4","0,0,0,1,1,2,3,4,4","0,0,0,1,1,2,4,4,4","0,0,0,1,1,3,3,3,3","0,0,0,1,1,3,3,3,4","0,0,0,1,1,3,3,4,4","0,0,0,1,1,3,4,4,4","0,0,0,1,1,4,4,4,4","0,0,0,1,2,2,2,2,2","0,0,0,1,2,2,2,2,3","0,0,0,1,2,2,2,2,4","0,0,0,1,2,2,2,3,3","0,0,0,1,2,2,2,3,4","0,0,0,1,2,2,2,4,4","0,0,0,1,2,2,3,3,3","0,0,0,1,2,2,3,3,4","0,0,0,1,2,2,3,4,4","0,0,0,1,2,2,4,4,4","0,0,0,1,2,3,3,3,3","0,0,0,1,2,3,3,3,4","0,0,0,1,2,3,3,4,4","0,0,0,1,2,3,4,4,4","0,0,0,1,2,4,4,4,4","0,0,0,1,3,3,3,3,3","0,0,0,1,3,3,3,3,4","0,0,0,1,3,3,3,4,4","0,0,0,1,3,3,4,4,4","0,0,0,1,3,4,4,4,4","0,0,0,1,4,4,4,4,4","0,0,0,2,2,2,2,2,2","0,0,0,2,2,2,2,2,3","0,0,0,2,2,2,2,2,4","0,0,0,2,2,2,2,3,3","0,0,0,2,2,2,2,3,4","0,0,0,2,2,2,2,4,4","0,0,0,2,2,2,3,3,3","0,0,0,2,2,2,3,3,4","0,0,0,2,2,2,3,4,4","0,0,0,2,2,2,4,4,4","0,0,0,2,2,3,3,3,3","0,0,0,2,2,3,3,3,4","0,0,0,2,2,3,3,4,4","0,0,0,2,2,3,4,4,4","0,0,0,2,2,4,4,4,4","0,0,0,2,3,3,3,3,3","0,0,0,2,3,3,3,3,4","0,0,0,2,3,3,3,4,4","0,0,0,2,3,3,4,4,4","0,0,0,2,3,4,4,4,4","0,0,0,2,4,4,4,4,4","0,0,0,3,3,3,3,3,3","0,0,0,3,3,3,3,3,4","0,0,0,3,3,3,3,4,4","0,0,0,3,3,3,4,4,4","0,0,0,3,3,4,4,4,4","0,0,0,3,4,4,4,4,4","0,0,0,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,4","0,0,1,1,1,1,1,2,2","0,0,1,1,1,1,1,2,3","0,0,1,1,1,1,1,2,4","0,0,1,1,1,1,1,3,3","0,0,1,1,1,1,1,3,4","0,0,1,1,1,1,1,4,4","0,0,1,1,1,1,2,2,2","0,0,1,1,1,1,2,2,3","0,0,1,1,1,1,2,2,4","0,0,1,1,1,1,2,3,3","0,0,1,1,1,1,2,3,4","0,0,1,1,1,1,2,4,4","0,0,1,1,1,1,3,3,3","0,0,1,1,1,1,3,3,4","0,0,1,1,1,1,3,4,4","0,0,1,1,1,1,4,4,4","0,0,1,1,1,2,2,2,2","0,0,1,1,1,2,2,2,3","0,0,1,1,1,2,2,2,4","0,0,1,1,1,2,2,3,3","0,0,1,1,1,2,2,3,4","0,0,1,1,1,2,2,4,4","0,0,1,1,1,2,3,3,3","0,0,1,1,1,2,3,3,4","0,0,1,1,1,2,3,4,4","0,0,1,1,1,2,4,4,4","0,0,1,1,1,3,3,3,3","0,0,1,1,1,3,3,3,4","0,0,1,1,1,3,3,4,4","0,0,1,1,1,3,4,4,4","0,0,1,1,1,4,4,4,4","0,0,1,1,2,2,2,2,2","0,0,1,1,2,2,2,2,3","0,0,1,1,2,2,2,2,4","0,0,1,1,2,2,2,3,3","0,0,1,1,2,2,2,3,4","0,0,1,1,2,2,2,4,4","0,0,1,1,2,2,3,3,3","0,0,1,1,2,2,3,3,4","0,0,1,1,2,2,3,4,4","0,0,1,1,2,2,4,4,4","0,0,1,1,2,3,3,3,3","0,0,1,1,2,3,3,3,4","0,0,1,1,2,3,3,4,4","0,0,1,1,2,3,4,4,4","0,0,1,1,2,4,4,4,4","0,0,1,1,3,3,3,3,3","0,0,1,1,3,3,3,3,4","0,0,1,1,3,3,3,4,4","0,0,1,1,3,3,4,4,4","0,0,1,1,3,4,4,4,4","0,0,1,1,4,4,4,4,4","0,0,1,2,2,2,2,2,2","0,0,1,2,2,2,2,2,3","0,0,1,2,2,2,2,2,4","0,0,1,2,2,2,2,3,3","0,0,1,2,2,2,2,3,4","0,0,1,2,2,2,2,4,4","0,0,1,2,2,2,3,3,3","0,0,1,2,2,2,3,3,4","0,0,1,2,2,2,3,4,4","0,0,1,2,2,2,4,4,4","0,0,1,2,2,3,3,3,3","0,0,1,2,2,3,3,3,4","0,0,1,2,2,3,3,4,4","0,0,1,2,2,3,4,4,4","0,0,1,2,2,4,4,4,4","0,0,1,2,3,3,3,3,3","0,0,1,2,3,3,3,3,4","0,0,1,2,3,3,3,4,4","0,0,1,2,3,3,4,4,4","0,0,1,2,3,4,4,4,4","0,0,1,2,4,4,4,4,4","0,0,1,3,3,3,3,3,3","0,0,1,3,3,3,3,3,4","0,0,1,3,3,3,3,4,4","0,0,1,3,3,3,4,4,4","0,0,1,3,3,4,4,4,4","0,0,1,3,4,4,4,4,4","0,0,1,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,4","0,0,2,2,2,2,2,3,3","0,0,2,2,2,2,2,3,4","0,0,2,2,2,2,2,4,4","0,0,2,2,2,2,3,3,3","0,0,2,2,2,2,3,3,4","0,0,2,2,2,2,3,4,4","0,0,2,2,2,2,4,4,4","0,0,2,2,2,3,3,3,3","0,0,2,2,2,3,3,3,4","0,0,2,2,2,3,3,4,4","0,0,2,2,2,3,4,4,4","0,0,2,2,2,4,4,4,4","0,0,2,2,3,3,3,3,3","0,0,2,2,3,3,3,3,4","0,0,2,2,3,3,3,4,4","0,0,2,2,3,3,4,4,4","0,0,2,2,3,4,4,4,4","0,0,2,2,4,4,4,4,4","0,0,2,3,3,3,3,3,3","0,0,2,3,3,3,3,3,4","0,0,2,3,3,3,3,4,4","0,0,2,3,3,3,4,4,4","0,0,2,3,3,4,4,4,4","0,0,2,3,4,4,4,4,4","0,0,2,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,4","0,0,3,3,3,3,3,4,4","0,0,3,3,3,3,4,4,4","0,0,3,3,3,4,4,4,4","0,0,3,3,4,4,4,4,4","0,0,3,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,4,4","0,1,1,1,1,1,2,2,2","0,1,1,1,1,1,2,2,3","0,1,1,1,1,1,2,2,4","0,1,1,1,1,1,2,3,3","0,1,1,1,1,1,2,3,4","0,1,1,1,1,1,2,4,4","0,1,1,1,1,1,3,3,3","0,1,1,1,1,1,3,3,4","0,1,1,1,1,1,3,4,4","0,1,1,1,1,1,4,4,4","0,1,1,1,1,2,2,2,2","0,1,1,1,1,2,2,2,3","0,1,1,1,1,2,2,2,4","0,1,1,1,1,2,2,3,3","0,1,1,1,1,2,2,3,4","0,1,1,1,1,2,2,4,4","0,1,1,1,1,2,3,3,3","0,1,1,1,1,2,3,3,4","0,1,1,1,1,2,3,4,4","0,1,1,1,1,2,4,4,4","0,1,1,1,1,3,3,3,3","0,1,1,1,1,3,3,3,4","0,1,1,1,1,3,3,4,4","0,1,1,1,1,3,4,4,4","0,1,1,1,1,4,4,4,4","0,1,1,1,2,2,2,2,2","0,1,1,1,2,2,2,2,3","0,1,1,1,2,2,2,2,4","0,1,1,1,2,2,2,3,3","0,1,1,1,2,2,2,3,4","0,1,1,1,2,2,2,4,4","0,1,1,1,2,2,3,3,3","0,1,1,1,2,2,3,3,4","0,1,1,1,2,2,3,4,4","0,1,1,1,2,2,4,4,4","0,1,1,1,2,3,3,3,3","0,1,1,1,2,3,3,3,4","0,1,1,1,2,3,3,4,4","0,1,1,1,2,3,4,4,4","0,1,1,1,2,4,4,4,4","0,1,1,1,3,3,3,3,3","0,1,1,1,3,3,3,3,4","0,1,1,1,3,3,3,4,4","0,1,1,1,3,3,4,4,4","0,1,1,1,3,4,4,4,4","0,1,1,1,4,4,4,4,4","0,1,1,2,2,2,2,2,2","0,1,1,2,2,2,2,2,3","0,1,1,2,2,2,2,2,4","0,1,1,2,2,2,2,3,3","0,1,1,2,2,2,2,3,4","0,1,1,2,2,2,2,4,4","0,1,1,2,2,2,3,3,3","0,1,1,2,2,2,3,3,4","0,1,1,2,2,2,3,4,4","0,1,1,2,2,2,4,4,4","0,1,1,2,2,3,3,3,3","0,1,1,2,2,3,3,3,4","0,1,1,2,2,3,3,4,4","0,1,1,2,2,3,4,4,4","0,1,1,2,2,4,4,4,4","0,1,1,2,3,3,3,3,3","0,1,1,2,3,3,3,3,4","0,1,1,2,3,3,3,4,4","0,1,1,2,3,3,4,4,4","0,1,1,2,3,4,4,4,4","0,1,1,2,4,4,4,4,4","0,1,1,3,3,3,3,3,3","0,1,1,3,3,3,3,3,4","0,1,1,3,3,3,3,4,4","0,1,1,3,3,3,4,4,4","0,1,1,3,3,4,4,4,4","0,1,1,3,4,4,4,4,4","0,1,1,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,4","0,1,2,2,2,2,2,3,3","0,1,2,2,2,2,2,3,4","0,1,2,2,2,2,2,4,4","0,1,2,2,2,2,3,3,3","0,1,2,2,2,2,3,3,4","0,1,2,2,2,2,3,4,4","0,1,2,2,2,2,4,4,4","0,1,2,2,2,3,3,3,3","0,1,2,2,2,3,3,3,4","0,1,2,2,2,3,3,4,4","0,1,2,2,2,3,4,4,4","0,1,2,2,2,4,4,4,4","0,1,2,2,3,3,3,3,3","0,1,2,2,3,3,3,3,4","0,1,2,2,3,3,3,4,4","0,1,2,2,3,3,4,4,4","0,1,2,2,3,4,4,4,4","0,1,2,2,4,4,4,4,4","0,1,2,3,3,3,3,3,3","0,1,2,3,3,3,3,3,4","0,1,2,3,3,3,3,4,4","0,1,2,3,3,3,4,4,4","0,1,2,3,3,4,4,4,4","0,1,2,3,4,4,4,4,4","0,1,2,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,4","0,1,3,3,3,3,3,4,4","0,1,3,3,3,3,4,4,4","0,1,3,3,3,4,4,4,4","0,1,3,3,4,4,4,4,4","0,1,3,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,4,4","0,2,2,2,2,2,3,3,3","0,2,2,2,2,2,3,3,4","0,2,2,2,2,2,3,4,4","0,2,2,2,2,2,4,4,4","0,2,2,2,2,3,3,3,3","0,2,2,2,2,3,3,3,4","0,2,2,2,2,3,3,4,4","0,2,2,2,2,3,4,4,4","0,2,2,2,2,4,4,4,4","0,2,2,2,3,3,3,3,3","0,2,2,2,3,3,3,3,4","0,2,2,2,3,3,3,4,4","0,2,2,2,3,3,4,4,4","0,2,2,2,3,4,4,4,4","0,2,2,2,4,4,4,4,4","0,2,2,3,3,3,3,3,3","0,2,2,3,3,3,3,3,4","0,2,2,3,3,3,3,4,4","0,2,2,3,3,3,4,4,4","0,2,2,3,3,4,4,4,4","0,2,2,3,4,4,4,4,4","0,2,2,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,4","0,2,3,3,3,3,3,4,4","0,2,3,3,3,3,4,4,4","0,2,3,3,3,4,4,4,4","0,2,3,3,4,4,4,4,4","0,2,3,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,4,4","0,3,3,3,3,3,4,4,4","0,3,3,3,3,4,4,4,4","0,3,3,3,4,4,4,4,4","0,3,3,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,4,4,4","1,1,1,1,1,2,2,2,2","1,1,1,1,1,2,2,2,3","1,1,1,1,1,2,2,2,4","1,1,1,1,1,2,2,3,3","1,1,1,1,1,2,2,3,4","1,1,1,1,1,2,2,4,4","1,1,1,1,1,2,3,3,3","1,1,1,1,1,2,3,3,4","1,1,1,1,1,2,3,4,4","1,1,1,1,1,2,4,4,4","1,1,1,1,1,3,3,3,3","1,1,1,1,1,3,3,3,4","1,1,1,1,1,3,3,4,4","1,1,1,1,1,3,4,4,4","1,1,1,1,1,4,4,4,4","1,1,1,1,2,2,2,2,2","1,1,1,1,2,2,2,2,3","1,1,1,1,2,2,2,2,4","1,1,1,1,2,2,2,3,3","1,1,1,1,2,2,2,3,4","1,1,1,1,2,2,2,4,4","1,1,1,1,2,2,3,3,3","1,1,1,1,2,2,3,3,4","1,1,1,1,2,2,3,4,4","1,1,1,1,2,2,4,4,4","1,1,1,1,2,3,3,3,3","1,1,1,1,2,3,3,3,4","1,1,1,1,2,3,3,4,4","1,1,1,1,2,3,4,4,4","1,1,1,1,2,4,4,4,4","1,1,1,1,3,3,3,3,3","1,1,1,1,3,3,3,3,4","1,1,1,1,3,3,3,4,4","1,1,1,1,3,3,4,4,4","1,1,1,1,3,4,4,4,4","1,1,1,1,4,4,4,4,4","1,1,1,2,2,2,2,2,2","1,1,1,2,2,2,2,2,3","1,1,1,2,2,2,2,2,4","1,1,1,2,2,2,2,3,3","1,1,1,2,2,2,2,3,4","1,1,1,2,2,2,2,4,4","1,1,1,2,2,2,3,3,3","1,1,1,2,2,2,3,3,4","1,1,1,2,2,2,3,4,4","1,1,1,2,2,2,4,4,4","1,1,1,2,2,3,3,3,3","1,1,1,2,2,3,3,3,4","1,1,1,2,2,3,3,4,4","1,1,1,2,2,3,4,4,4","1,1,1,2,2,4,4,4,4","1,1,1,2,3,3,3,3,3","1,1,1,2,3,3,3,3,4","1,1,1,2,3,3,3,4,4","1,1,1,2,3,3,4,4,4","1,1,1,2,3,4,4,4,4","1,1,1,2,4,4,4,4,4","1,1,1,3,3,3,3,3,3","1,1,1,3,3,3,3,3,4","1,1,1,3,3,3,3,4,4","1,1,1,3,3,3,4,4,4","1,1,1,3,3,4,4,4,4","1,1,1,3,4,4,4,4,4","1,1,1,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,4","1,1,2,2,2,2,2,3,3","1,1,2,2,2,2,2,3,4","1,1,2,2,2,2,2,4,4","1,1,2,2,2,2,3,3,3","1,1,2,2,2,2,3,3,4","1,1,2,2,2,2,3,4,4","1,1,2,2,2,2,4,4,4","1,1,2,2,2,3,3,3,3","1,1,2,2,2,3,3,3,4","1,1,2,2,2,3,3,4,4","1,1,2,2,2,3,4,4,4","1,1,2,2,2,4,4,4,4","1,1,2,2,3,3,3,3,3","1,1,2,2,3,3,3,3,4","1,1,2,2,3,3,3,4,4","1,1,2,2,3,3,4,4,4","1,1,2,2,3,4,4,4,4","1,1,2,2,4,4,4,4,4","1,1,2,3,3,3,3,3,3","1,1,2,3,3,3,3,3,4","1,1,2,3,3,3,3,4,4","1,1,2,3,3,3,4,4,4","1,1,2,3,3,4,4,4,4","1,1,2,3,4,4,4,4,4","1,1,2,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,4","1,1,3,3,3,3,3,4,4","1,1,3,3,3,3,4,4,4","1,1,3,3,3,4,4,4,4","1,1,3,3,4,4,4,4,4","1,1,3,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,4,4","1,2,2,2,2,2,3,3,3","1,2,2,2,2,2,3,3,4","1,2,2,2,2,2,3,4,4","1,2,2,2,2,2,4,4,4","1,2,2,2,2,3,3,3,3","1,2,2,2,2,3,3,3,4","1,2,2,2,2,3,3,4,4","1,2,2,2,2,3,4,4,4","1,2,2,2,2,4,4,4,4","1,2,2,2,3,3,3,3,3","1,2,2,2,3,3,3,3,4","1,2,2,2,3,3,3,4,4","1,2,2,2,3,3,4,4,4","1,2,2,2,3,4,4,4,4","1,2,2,2,4,4,4,4,4","1,2,2,3,3,3,3,3,3","1,2,2,3,3,3,3,3,4","1,2,2,3,3,3,3,4,4","1,2,2,3,3,3,4,4,4","1,2,2,3,3,4,4,4,4","1,2,2,3,4,4,4,4,4","1,2,2,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,4","1,2,3,3,3,3,3,4,4","1,2,3,3,3,3,4,4,4","1,2,3,3,3,4,4,4,4","1,2,3,3,4,4,4,4,4","1,2,3,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,4,4","1,3,3,3,3,3,4,4,4","1,3,3,3,3,4,4,4,4","1,3,3,3,4,4,4,4,4","1,3,3,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,4,4,4","2,2,2,2,2,3,3,3,3","2,2,2,2,2,3,3,3,4","2,2,2,2,2,3,3,4,4","2,2,2,2,2,3,4,4,4","2,2,2,2,2,4,4,4,4","2,2,2,2,3,3,3,3,3","2,2,2,2,3,3,3,3,4","2,2,2,2,3,3,3,4,4","2,2,2,2,3,3,4,4,4","2,2,2,2,3,4,4,4,4","2,2,2,2,4,4,4,4,4","2,2,2,3,3,3,3,3,3","2,2,2,3,3,3,3,3,4","2,2,2,3,3,3,3,4,4","2,2,2,3,3,3,4,4,4","2,2,2,3,3,4,4,4,4","2,2,2,3,4,4,4,4,4","2,2,2,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,4","2,2,3,3,3,3,3,4,4","2,2,3,3,3,3,4,4,4","2,2,3,3,3,4,4,4,4","2,2,3,3,4,4,4,4,4","2,2,3,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,4,4","2,3,3,3,3,3,4,4,4","2,3,3,3,3,4,4,4,4","2,3,3,3,4,4,4,4,4","2,3,3,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,4,4,4","3,3,3,3,3,4,4,4,4","3,3,3,3,4,4,4,4,4","3,3,3,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,4","0,0,0,0,1,1,1,1,2,2","0,0,0,0,1,1,1,1,2,3","0,0,0,0,1,1,1,1,2,4","0,0,0,0,1,1,1,1,3,3","0,0,0,0,1,1,1,1,3,4","0,0,0,0,1,1,1,1,4,4","0,0,0,0,1,1,1,2,2,2","0,0,0,0,1,1,1,2,2,3","0,0,0,0,1,1,1,2,2,4","0,0,0,0,1,1,1,2,3,3","0,0,0,0,1,1,1,2,3,4","0,0,0,0,1,1,1,2,4,4","0,0,0,0,1,1,1,3,3,3","0,0,0,0,1,1,1,3,3,4","0,0,0,0,1,1,1,3,4,4","0,0,0,0,1,1,1,4,4,4","0,0,0,0,1,1,2,2,2,2","0,0,0,0,1,1,2,2,2,3","0,0,0,0,1,1,2,2,2,4","0,0,0,0,1,1,2,2,3,3","0,0,0,0,1,1,2,2,3,4","0,0,0,0,1,1,2,2,4,4","0,0,0,0,1,1,2,3,3,3","0,0,0,0,1,1,2,3,3,4","0,0,0,0,1,1,2,3,4,4","0,0,0,0,1,1,2,4,4,4","0,0,0,0,1,1,3,3,3,3","0,0,0,0,1,1,3,3,3,4","0,0,0,0,1,1,3,3,4,4","0,0,0,0,1,1,3,4,4,4","0,0,0,0,1,1,4,4,4,4","0,0,0,0,1,2,2,2,2,2","0,0,0,0,1,2,2,2,2,3","0,0,0,0,1,2,2,2,2,4","0,0,0,0,1,2,2,2,3,3","0,0,0,0,1,2,2,2,3,4","0,0,0,0,1,2,2,2,4,4","0,0,0,0,1,2,2,3,3,3","0,0,0,0,1,2,2,3,3,4","0,0,0,0,1,2,2,3,4,4","0,0,0,0,1,2,2,4,4,4","0,0,0,0,1,2,3,3,3,3","0,0,0,0,1,2,3,3,3,4","0,0,0,0,1,2,3,3,4,4","0,0,0,0,1,2,3,4,4,4","0,0,0,0,1,2,4,4,4,4","0,0,0,0,1,3,3,3,3,3","0,0,0,0,1,3,3,3,3,4","0,0,0,0,1,3,3,3,4,4","0,0,0,0,1,3,3,4,4,4","0,0,0,0,1,3,4,4,4,4","0,0,0,0,1,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,4","0,0,0,0,2,2,2,2,3,3","0,0,0,0,2,2,2,2,3,4","0,0,0,0,2,2,2,2,4,4","0,0,0,0,2,2,2,3,3,3","0,0,0,0,2,2,2,3,3,4","0,0,0,0,2,2,2,3,4,4","0,0,0,0,2,2,2,4,4,4","0,0,0,0,2,2,3,3,3,3","0,0,0,0,2,2,3,3,3,4","0,0,0,0,2,2,3,3,4,4","0,0,0,0,2,2,3,4,4,4","0,0,0,0,2,2,4,4,4,4","0,0,0,0,2,3,3,3,3,3","0,0,0,0,2,3,3,3,3,4","0,0,0,0,2,3,3,3,4,4","0,0,0,0,2,3,3,4,4,4","0,0,0,0,2,3,4,4,4,4","0,0,0,0,2,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,4","0,0,0,0,3,3,3,3,4,4","0,0,0,0,3,3,3,4,4,4","0,0,0,0,3,3,4,4,4,4","0,0,0,0,3,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,4,4","0,0,0,1,1,1,1,2,2,2","0,0,0,1,1,1,1,2,2,3","0,0,0,1,1,1,1,2,2,4","0,0,0,1,1,1,1,2,3,3","0,0,0,1,1,1,1,2,3,4","0,0,0,1,1,1,1,2,4,4","0,0,0,1,1,1,1,3,3,3","0,0,0,1,1,1,1,3,3,4","0,0,0,1,1,1,1,3,4,4","0,0,0,1,1,1,1,4,4,4","0,0,0,1,1,1,2,2,2,2","0,0,0,1,1,1,2,2,2,3","0,0,0,1,1,1,2,2,2,4","0,0,0,1,1,1,2,2,3,3","0,0,0,1,1,1,2,2,3,4","0,0,0,1,1,1,2,2,4,4","0,0,0,1,1,1,2,3,3,3","0,0,0,1,1,1,2,3,3,4","0,0,0,1,1,1,2,3,4,4","0,0,0,1,1,1,2,4,4,4","0,0,0,1,1,1,3,3,3,3","0,0,0,1,1,1,3,3,3,4","0,0,0,1,1,1,3,3,4,4","0,0,0,1,1,1,3,4,4,4","0,0,0,1,1,1,4,4,4,4","0,0,0,1,1,2,2,2,2,2","0,0,0,1,1,2,2,2,2,3","0,0,0,1,1,2,2,2,2,4","0,0,0,1,1,2,2,2,3,3","0,0,0,1,1,2,2,2,3,4","0,0,0,1,1,2,2,2,4,4","0,0,0,1,1,2,2,3,3,3","0,0,0,1,1,2,2,3,3,4","0,0,0,1,1,2,2,3,4,4","0,0,0,1,1,2,2,4,4,4","0,0,0,1,1,2,3,3,3,3","0,0,0,1,1,2,3,3,3,4","0,0,0,1,1,2,3,3,4,4","0,0,0,1,1,2,3,4,4,4","0,0,0,1,1,2,4,4,4,4","0,0,0,1,1,3,3,3,3,3","0,0,0,1,1,3,3,3,3,4","0,0,0,1,1,3,3,3,4,4","0,0,0,1,1,3,3,4,4,4","0,0,0,1,1,3,4,4,4,4","0,0,0,1,1,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,4","0,0,0,1,2,2,2,2,3,3","0,0,0,1,2,2,2,2,3,4","0,0,0,1,2,2,2,2,4,4","0,0,0,1,2,2,2,3,3,3","0,0,0,1,2,2,2,3,3,4","0,0,0,1,2,2,2,3,4,4","0,0,0,1,2,2,2,4,4,4","0,0,0,1,2,2,3,3,3,3","0,0,0,1,2,2,3,3,3,4","0,0,0,1,2,2,3,3,4,4","0,0,0,1,2,2,3,4,4,4","0,0,0,1,2,2,4,4,4,4","0,0,0,1,2,3,3,3,3,3","0,0,0,1,2,3,3,3,3,4","0,0,0,1,2,3,3,3,4,4","0,0,0,1,2,3,3,4,4,4","0,0,0,1,2,3,4,4,4,4","0,0,0,1,2,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,4","0,0,0,1,3,3,3,3,4,4","0,0,0,1,3,3,3,4,4,4","0,0,0,1,3,3,4,4,4,4","0,0,0,1,3,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,4,4","0,0,0,2,2,2,2,3,3,3","0,0,0,2,2,2,2,3,3,4","0,0,0,2,2,2,2,3,4,4","0,0,0,2,2,2,2,4,4,4","0,0,0,2,2,2,3,3,3,3","0,0,0,2,2,2,3,3,3,4","0,0,0,2,2,2,3,3,4,4","0,0,0,2,2,2,3,4,4,4","0,0,0,2,2,2,4,4,4,4","0,0,0,2,2,3,3,3,3,3","0,0,0,2,2,3,3,3,3,4","0,0,0,2,2,3,3,3,4,4","0,0,0,2,2,3,3,4,4,4","0,0,0,2,2,3,4,4,4,4","0,0,0,2,2,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,4","0,0,0,2,3,3,3,3,4,4","0,0,0,2,3,3,3,4,4,4","0,0,0,2,3,3,4,4,4,4","0,0,0,2,3,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,4,4","0,0,0,3,3,3,3,4,4,4","0,0,0,3,3,3,4,4,4,4","0,0,0,3,3,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,4,4,4","0,0,1,1,1,1,2,2,2,2","0,0,1,1,1,1,2,2,2,3","0,0,1,1,1,1,2,2,2,4","0,0,1,1,1,1,2,2,3,3","0,0,1,1,1,1,2,2,3,4","0,0,1,1,1,1,2,2,4,4","0,0,1,1,1,1,2,3,3,3","0,0,1,1,1,1,2,3,3,4","0,0,1,1,1,1,2,3,4,4","0,0,1,1,1,1,2,4,4,4","0,0,1,1,1,1,3,3,3,3","0,0,1,1,1,1,3,3,3,4","0,0,1,1,1,1,3,3,4,4","0,0,1,1,1,1,3,4,4,4","0,0,1,1,1,1,4,4,4,4","0,0,1,1,1,2,2,2,2,2","0,0,1,1,1,2,2,2,2,3","0,0,1,1,1,2,2,2,2,4","0,0,1,1,1,2,2,2,3,3","0,0,1,1,1,2,2,2,3,4","0,0,1,1,1,2,2,2,4,4","0,0,1,1,1,2,2,3,3,3","0,0,1,1,1,2,2,3,3,4","0,0,1,1,1,2,2,3,4,4","0,0,1,1,1,2,2,4,4,4","0,0,1,1,1,2,3,3,3,3","0,0,1,1,1,2,3,3,3,4","0,0,1,1,1,2,3,3,4,4","0,0,1,1,1,2,3,4,4,4","0,0,1,1,1,2,4,4,4,4","0,0,1,1,1,3,3,3,3,3","0,0,1,1,1,3,3,3,3,4","0,0,1,1,1,3,3,3,4,4","0,0,1,1,1,3,3,4,4,4","0,0,1,1,1,3,4,4,4,4","0,0,1,1,1,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,4","0,0,1,1,2,2,2,2,3,3","0,0,1,1,2,2,2,2,3,4","0,0,1,1,2,2,2,2,4,4","0,0,1,1,2,2,2,3,3,3","0,0,1,1,2,2,2,3,3,4","0,0,1,1,2,2,2,3,4,4","0,0,1,1,2,2,2,4,4,4","0,0,1,1,2,2,3,3,3,3","0,0,1,1,2,2,3,3,3,4","0,0,1,1,2,2,3,3,4,4","0,0,1,1,2,2,3,4,4,4","0,0,1,1,2,2,4,4,4,4","0,0,1,1,2,3,3,3,3,3","0,0,1,1,2,3,3,3,3,4","0,0,1,1,2,3,3,3,4,4","0,0,1,1,2,3,3,4,4,4","0,0,1,1,2,3,4,4,4,4","0,0,1,1,2,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,4","0,0,1,1,3,3,3,3,4,4","0,0,1,1,3,3,3,4,4,4","0,0,1,1,3,3,4,4,4,4","0,0,1,1,3,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,4,4","0,0,1,2,2,2,2,3,3,3","0,0,1,2,2,2,2,3,3,4","0,0,1,2,2,2,2,3,4,4","0,0,1,2,2,2,2,4,4,4","0,0,1,2,2,2,3,3,3,3","0,0,1,2,2,2,3,3,3,4","0,0,1,2,2,2,3,3,4,4","0,0,1,2,2,2,3,4,4,4","0,0,1,2,2,2,4,4,4,4","0,0,1,2,2,3,3,3,3,3","0,0,1,2,2,3,3,3,3,4","0,0,1,2,2,3,3,3,4,4","0,0,1,2,2,3,3,4,4,4","0,0,1,2,2,3,4,4,4,4","0,0,1,2,2,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,4","0,0,1,2,3,3,3,3,4,4","0,0,1,2,3,3,3,4,4,4","0,0,1,2,3,3,4,4,4,4","0,0,1,2,3,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,4,4","0,0,1,3,3,3,3,4,4,4","0,0,1,3,3,3,4,4,4,4","0,0,1,3,3,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,4,4,4","0,0,2,2,2,2,3,3,3,3","0,0,2,2,2,2,3,3,3,4","0,0,2,2,2,2,3,3,4,4","0,0,2,2,2,2,3,4,4,4","0,0,2,2,2,2,4,4,4,4","0,0,2,2,2,3,3,3,3,3","0,0,2,2,2,3,3,3,3,4","0,0,2,2,2,3,3,3,4,4","0,0,2,2,2,3,3,4,4,4","0,0,2,2,2,3,4,4,4,4","0,0,2,2,2,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,4","0,0,2,2,3,3,3,3,4,4","0,0,2,2,3,3,3,4,4,4","0,0,2,2,3,3,4,4,4,4","0,0,2,2,3,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,4,4","0,0,2,3,3,3,3,4,4,4","0,0,2,3,3,3,4,4,4,4","0,0,2,3,3,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,4,4,4","0,0,3,3,3,3,4,4,4,4","0,0,3,3,3,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,4,4,4,4","0,1,1,1,1,2,2,2,2,2","0,1,1,1,1,2,2,2,2,3","0,1,1,1,1,2,2,2,2,4","0,1,1,1,1,2,2,2,3,3","0,1,1,1,1,2,2,2,3,4","0,1,1,1,1,2,2,2,4,4","0,1,1,1,1,2,2,3,3,3","0,1,1,1,1,2,2,3,3,4","0,1,1,1,1,2,2,3,4,4","0,1,1,1,1,2,2,4,4,4","0,1,1,1,1,2,3,3,3,3","0,1,1,1,1,2,3,3,3,4","0,1,1,1,1,2,3,3,4,4","0,1,1,1,1,2,3,4,4,4","0,1,1,1,1,2,4,4,4,4","0,1,1,1,1,3,3,3,3,3","0,1,1,1,1,3,3,3,3,4","0,1,1,1,1,3,3,3,4,4","0,1,1,1,1,3,3,4,4,4","0,1,1,1,1,3,4,4,4,4","0,1,1,1,1,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,4","0,1,1,1,2,2,2,2,3,3","0,1,1,1,2,2,2,2,3,4","0,1,1,1,2,2,2,2,4,4","0,1,1,1,2,2,2,3,3,3","0,1,1,1,2,2,2,3,3,4","0,1,1,1,2,2,2,3,4,4","0,1,1,1,2,2,2,4,4,4","0,1,1,1,2,2,3,3,3,3","0,1,1,1,2,2,3,3,3,4","0,1,1,1,2,2,3,3,4,4","0,1,1,1,2,2,3,4,4,4","0,1,1,1,2,2,4,4,4,4","0,1,1,1,2,3,3,3,3,3","0,1,1,1,2,3,3,3,3,4","0,1,1,1,2,3,3,3,4,4","0,1,1,1,2,3,3,4,4,4","0,1,1,1,2,3,4,4,4,4","0,1,1,1,2,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,4","0,1,1,1,3,3,3,3,4,4","0,1,1,1,3,3,3,4,4,4","0,1,1,1,3,3,4,4,4,4","0,1,1,1,3,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,4,4","0,1,1,2,2,2,2,3,3,3","0,1,1,2,2,2,2,3,3,4","0,1,1,2,2,2,2,3,4,4","0,1,1,2,2,2,2,4,4,4","0,1,1,2,2,2,3,3,3,3","0,1,1,2,2,2,3,3,3,4","0,1,1,2,2,2,3,3,4,4","0,1,1,2,2,2,3,4,4,4","0,1,1,2,2,2,4,4,4,4","0,1,1,2,2,3,3,3,3,3","0,1,1,2,2,3,3,3,3,4","0,1,1,2,2,3,3,3,4,4","0,1,1,2,2,3,3,4,4,4","0,1,1,2,2,3,4,4,4,4","0,1,1,2,2,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,4","0,1,1,2,3,3,3,3,4,4","0,1,1,2,3,3,3,4,4,4","0,1,1,2,3,3,4,4,4,4","0,1,1,2,3,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,4,4","0,1,1,3,3,3,3,4,4,4","0,1,1,3,3,3,4,4,4,4","0,1,1,3,3,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,4,4,4","0,1,2,2,2,2,3,3,3,3","0,1,2,2,2,2,3,3,3,4","0,1,2,2,2,2,3,3,4,4","0,1,2,2,2,2,3,4,4,4","0,1,2,2,2,2,4,4,4,4","0,1,2,2,2,3,3,3,3,3","0,1,2,2,2,3,3,3,3,4","0,1,2,2,2,3,3,3,4,4","0,1,2,2,2,3,3,4,4,4","0,1,2,2,2,3,4,4,4,4","0,1,2,2,2,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,4","0,1,2,2,3,3,3,3,4,4","0,1,2,2,3,3,3,4,4,4","0,1,2,2,3,3,4,4,4,4","0,1,2,2,3,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,4,4","0,1,2,3,3,3,3,4,4,4","0,1,2,3,3,3,4,4,4,4","0,1,2,3,3,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,4,4,4","0,1,3,3,3,3,4,4,4,4","0,1,3,3,3,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,4,4,4,4","0,2,2,2,2,3,3,3,3,3","0,2,2,2,2,3,3,3,3,4","0,2,2,2,2,3,3,3,4,4","0,2,2,2,2,3,3,4,4,4","0,2,2,2,2,3,4,4,4,4","0,2,2,2,2,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,4","0,2,2,2,3,3,3,3,4,4","0,2,2,2,3,3,3,4,4,4","0,2,2,2,3,3,4,4,4,4","0,2,2,2,3,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,4,4","0,2,2,3,3,3,3,4,4,4","0,2,2,3,3,3,4,4,4,4","0,2,2,3,3,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,4,4,4","0,2,3,3,3,3,4,4,4,4","0,2,3,3,3,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,4,4,4,4","0,3,3,3,3,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,4","1,1,1,1,2,2,2,2,3,3","1,1,1,1,2,2,2,2,3,4","1,1,1,1,2,2,2,2,4,4","1,1,1,1,2,2,2,3,3,3","1,1,1,1,2,2,2,3,3,4","1,1,1,1,2,2,2,3,4,4","1,1,1,1,2,2,2,4,4,4","1,1,1,1,2,2,3,3,3,3","1,1,1,1,2,2,3,3,3,4","1,1,1,1,2,2,3,3,4,4","1,1,1,1,2,2,3,4,4,4","1,1,1,1,2,2,4,4,4,4","1,1,1,1,2,3,3,3,3,3","1,1,1,1,2,3,3,3,3,4","1,1,1,1,2,3,3,3,4,4","1,1,1,1,2,3,3,4,4,4","1,1,1,1,2,3,4,4,4,4","1,1,1,1,2,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,4","1,1,1,1,3,3,3,3,4,4","1,1,1,1,3,3,3,4,4,4","1,1,1,1,3,3,4,4,4,4","1,1,1,1,3,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,4,4","1,1,1,2,2,2,2,3,3,3","1,1,1,2,2,2,2,3,3,4","1,1,1,2,2,2,2,3,4,4","1,1,1,2,2,2,2,4,4,4","1,1,1,2,2,2,3,3,3,3","1,1,1,2,2,2,3,3,3,4","1,1,1,2,2,2,3,3,4,4","1,1,1,2,2,2,3,4,4,4","1,1,1,2,2,2,4,4,4,4","1,1,1,2,2,3,3,3,3,3","1,1,1,2,2,3,3,3,3,4","1,1,1,2,2,3,3,3,4,4","1,1,1,2,2,3,3,4,4,4","1,1,1,2,2,3,4,4,4,4","1,1,1,2,2,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,4","1,1,1,2,3,3,3,3,4,4","1,1,1,2,3,3,3,4,4,4","1,1,1,2,3,3,4,4,4,4","1,1,1,2,3,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,4,4","1,1,1,3,3,3,3,4,4,4","1,1,1,3,3,3,4,4,4,4","1,1,1,3,3,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,4,4,4","1,1,2,2,2,2,3,3,3,3","1,1,2,2,2,2,3,3,3,4","1,1,2,2,2,2,3,3,4,4","1,1,2,2,2,2,3,4,4,4","1,1,2,2,2,2,4,4,4,4","1,1,2,2,2,3,3,3,3,3","1,1,2,2,2,3,3,3,3,4","1,1,2,2,2,3,3,3,4,4","1,1,2,2,2,3,3,4,4,4","1,1,2,2,2,3,4,4,4,4","1,1,2,2,2,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,4","1,1,2,2,3,3,3,3,4,4","1,1,2,2,3,3,3,4,4,4","1,1,2,2,3,3,4,4,4,4","1,1,2,2,3,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,4,4","1,1,2,3,3,3,3,4,4,4","1,1,2,3,3,3,4,4,4,4","1,1,2,3,3,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,4,4,4","1,1,3,3,3,3,4,4,4,4","1,1,3,3,3,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,4,4,4,4","1,2,2,2,2,3,3,3,3,3","1,2,2,2,2,3,3,3,3,4","1,2,2,2,2,3,3,3,4,4","1,2,2,2,2,3,3,4,4,4","1,2,2,2,2,3,4,4,4,4","1,2,2,2,2,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,4","1,2,2,2,3,3,3,3,4,4","1,2,2,2,3,3,3,4,4,4","1,2,2,2,3,3,4,4,4,4","1,2,2,2,3,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,4,4","1,2,2,3,3,3,3,4,4,4","1,2,2,3,3,3,4,4,4,4","1,2,2,3,3,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,4,4,4","1,2,3,3,3,3,4,4,4,4","1,2,3,3,3,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,4,4,4,4","1,3,3,3,3,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,4","2,2,2,2,3,3,3,3,4,4","2,2,2,2,3,3,3,4,4,4","2,2,2,2,3,3,4,4,4,4","2,2,2,2,3,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,4,4","2,2,2,3,3,3,3,4,4,4","2,2,2,3,3,3,4,4,4,4","2,2,2,3,3,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,4,4,4","2,2,3,3,3,3,4,4,4,4","2,2,3,3,3,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,4,4,4,4","2,3,3,3,3,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,4","0,0,0,1,1,1,2,2,2,3,3","0,0,0,1,1,1,2,2,2,3,4","0,0,0,1,1,1,2,2,2,4,4","0,0,0,1,1,1,2,2,3,3,3","0,0,0,1,1,1,2,2,3,3,4","0,0,0,1,1,1,2,2,3,4,4","0,0,0,1,1,1,2,2,4,4,4","0,0,0,1,1,1,2,3,3,3,3","0,0,0,1,1,1,2,3,3,3,4","0,0,0,1,1,1,2,3,3,4,4","0,0,0,1,1,1,2,3,4,4,4","0,0,0,1,1,1,2,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,4","0,0,0,1,1,1,3,3,3,4,4","0,0,0,1,1,1,3,3,4,4,4","0,0,0,1,1,1,3,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,4,4","0,0,0,1,1,2,2,2,3,3,3","0,0,0,1,1,2,2,2,3,3,4","0,0,0,1,1,2,2,2,3,4,4","0,0,0,1,1,2,2,2,4,4,4","0,0,0,1,1,2,2,3,3,3,3","0,0,0,1,1,2,2,3,3,3,4","0,0,0,1,1,2,2,3,3,4,4","0,0,0,1,1,2,2,3,4,4,4","0,0,0,1,1,2,2,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,4","0,0,0,1,1,2,3,3,3,4,4","0,0,0,1,1,2,3,3,4,4,4","0,0,0,1,1,2,3,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,4,4","0,0,0,1,1,3,3,3,4,4,4","0,0,0,1,1,3,3,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,4,4,4","0,0,0,1,2,2,2,3,3,3,3","0,0,0,1,2,2,2,3,3,3,4","0,0,0,1,2,2,2,3,3,4,4","0,0,0,1,2,2,2,3,4,4,4","0,0,0,1,2,2,2,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,4","0,0,0,1,2,2,3,3,3,4,4","0,0,0,1,2,2,3,3,4,4,4","0,0,0,1,2,2,3,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,4,4","0,0,0,1,2,3,3,3,4,4,4","0,0,0,1,2,3,3,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,4,4,4","0,0,0,1,3,3,3,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,4","0,0,0,2,2,2,3,3,3,4,4","0,0,0,2,2,2,3,3,4,4,4","0,0,0,2,2,2,3,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,4,4","0,0,0,2,2,3,3,3,4,4,4","0,0,0,2,2,3,3,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,4,4,4","0,0,0,2,3,3,3,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,4,4","0,0,1,1,1,2,2,2,3,3,3","0,0,1,1,1,2,2,2,3,3,4","0,0,1,1,1,2,2,2,3,4,4","0,0,1,1,1,2,2,2,4,4,4","0,0,1,1,1,2,2,3,3,3,3","0,0,1,1,1,2,2,3,3,3,4","0,0,1,1,1,2,2,3,3,4,4","0,0,1,1,1,2,2,3,4,4,4","0,0,1,1,1,2,2,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,4","0,0,1,1,1,2,3,3,3,4,4","0,0,1,1,1,2,3,3,4,4,4","0,0,1,1,1,2,3,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,4,4","0,0,1,1,1,3,3,3,4,4,4","0,0,1,1,1,3,3,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,4,4,4","0,0,1,1,2,2,2,3,3,3,3","0,0,1,1,2,2,2,3,3,3,4","0,0,1,1,2,2,2,3,3,4,4","0,0,1,1,2,2,2,3,4,4,4","0,0,1,1,2,2,2,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,4","0,0,1,1,2,2,3,3,3,4,4","0,0,1,1,2,2,3,3,4,4,4","0,0,1,1,2,2,3,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,4,4","0,0,1,1,2,3,3,3,4,4,4","0,0,1,1,2,3,3,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,4,4,4","0,0,1,1,3,3,3,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,4","0,0,1,2,2,2,3,3,3,4,4","0,0,1,2,2,2,3,3,4,4,4","0,0,1,2,2,2,3,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,4,4","0,0,1,2,2,3,3,3,4,4,4","0,0,1,2,2,3,3,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,4,4,4","0,0,1,2,3,3,3,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,4,4","0,0,2,2,2,3,3,3,4,4,4","0,0,2,2,2,3,3,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,4,4,4","0,0,2,2,3,3,3,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,4,4,4","0,1,1,1,2,2,2,3,3,3,3","0,1,1,1,2,2,2,3,3,3,4","0,1,1,1,2,2,2,3,3,4,4","0,1,1,1,2,2,2,3,4,4,4","0,1,1,1,2,2,2,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,4","0,1,1,1,2,2,3,3,3,4,4","0,1,1,1,2,2,3,3,4,4,4","0,1,1,1,2,2,3,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,4,4","0,1,1,1,2,3,3,3,4,4,4","0,1,1,1,2,3,3,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,4,4,4","0,1,1,1,3,3,3,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,4","0,1,1,2,2,2,3,3,3,4,4","0,1,1,2,2,2,3,3,4,4,4","0,1,1,2,2,2,3,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,4,4","0,1,1,2,2,3,3,3,4,4,4","0,1,1,2,2,3,3,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,4,4,4","0,1,1,2,3,3,3,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,4,4","0,1,2,2,2,3,3,3,4,4,4","0,1,2,2,2,3,3,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,4,4,4","0,1,2,2,3,3,3,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,4,4,4","0,2,2,2,3,3,3,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,4","1,1,1,2,2,2,3,3,3,4,4","1,1,1,2,2,2,3,3,4,4,4","1,1,1,2,2,2,3,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,4,4","1,1,1,2,2,3,3,3,4,4,4","1,1,1,2,2,3,3,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,4,4,4","1,1,1,2,3,3,3,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,4,4","1,1,2,2,2,3,3,3,4,4,4","1,1,2,2,2,3,3,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,4,4,4","1,1,2,2,3,3,3,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,4,4,4","1,2,2,2,3,3,3,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") +("0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","0,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4","4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4") \ No newline at end of file