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Y;;U2|?hfE9apYh<2dDJ-KYRYa00*KWNB{r; literal 0 HcmV?d00001 diff --git a/CalcNumAv1.ipynb b/CalcNumAv1.ipynb new file mode 100644 index 0000000..d0f8b6d --- /dev/null +++ b/CalcNumAv1.ipynb @@ -0,0 +1,891 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "\n", + "# 1. Introdução do Contexto\n", + "Chernobyl foi palco de um dos piores acidentes nucleares da história em 1986. A liberação de material radioativo resultou em contaminação de larga escala, tornando partes da região inabitáveis. Vamos investigar o decaimento dos resíduos nucleares e o tempo necessário para que a área se torne segura novamente.\n", + "\n", + "\n", + "---\n", + "\n", + "# 2. Apresentação da Fórmula Matemática\n", + "Para modelar o decaimento dos resíduos nucleares, podemos utilizar a lei do decaimento radioativo:\n", + "\n", + "###dN/dt = -λN\n", + "\n", + "\n", + "\n", + "* N: quantidade de substância radioativa\n", + "* λ: constante de decaimento (específica para cada isótopo)\n", + "\n", + "\n", + "\n", + "---\n", + "# 3. Resolução do Problema Através dos Métodos Numéricos\n", + "\n", + "Vamos aplicar O Método de Newton-Raphson para resolver essa equação diferencial. Podemos fazer isso transformando a equação diferencial em uma equação algébrica e, em seguida, aplicando o método.\n", + "\n", + "\n", + "---\n", + "\n", + "\n" + ], + "metadata": { + "id": "cUP6VSeuJ2GI" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Etapa 1: Definir a Equação Diferencial\n", + "Vamos considerar o decaimento do césio-137, que foi um dos principais isótopos liberados no acidente de Chernobyl. A constante de decaimento para o césio-137 é de aproximadamente\n", + "0,6931 por ano.\n", + "\n", + "A equação diferencial do decaimento é:\n", + "\n", + "###dN/dt = −λN\n", + "\n", + "N é a quantidade de substância radioativa e\n", + "λ é a constante de decaimento.\n", + "\n", + "## Etapa 2: Discretização da Equação Diferencial\n", + "Para aplicar esse método numéricos precisamos transformar a equação diferencial em uma equação algébrica. Vamos usar o Método de Newton-Raphson para resolver essa equação.\n", + "\n", + "Primeiro, vamos discretizar a equação diferencial usando o método de diferenças finitas:\n", + "\n", + "###N[i+1] = N[i] −λNt\n", + "\n", + "\n", + "onde N[i] é a quantidade de substância no tempo t[i] e t é o intervalo de tempo.\n", + "\n", + "\n", + "##Etapa 3: Aplicar o Método de Newton-Raphson\n", + "Vamos aplicar o Método de Newton-Raphson para resolver a equação discretizada e encontrar o valor de\n", + "N ao longo do tempo.\n", + "\n", + "##Etapa 4: Análise dos Resultados\n", + "Finalmente, vamos analisar os resultados, plotar o gráfico do decaimento ao longo do tempo e discutir o que isso significa para a habitabilidade da área afetada.\n", + "\n", + "Vamos começar com as etapas 2 e 3, discretizando a equação e aplicando o Método de Newton-Raphson." + ], + "metadata": { + "id": "uWyhaDj4LIlW" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "4NEvGVlzMVXL" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "###Definindo os parametros" + ], + "metadata": { + "id": "j6WP6PwMRHEX" + } + }, + { + "cell_type": "code", + "source": [ + "#meia vida de 30 anos\n", + "lambda_cesium_137 = 0.0230433552\n", + "initial_quantity = 100\n", + "time_step = 1\n", + "total_time = 100" + ], + "metadata": { + "id": "uuGHl0N0MYlw" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def finite_diference_decay(quantity, lambda_value, delta_t):\n", + " return quantity - lambda_value * quantity * delta_t" + ], + "metadata": { + "id": "4Bo1I__7Mr6t" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Simulação do decaimento" + ], + "metadata": { + "id": "4uUXp9d5RLJi" + } + }, + { + "cell_type": "code", + "source": [ + "quantities = [initial_quantity]\n", + "for i in range(total_time):\n", + " new_quantity = finite_diference_decay(quantities[-1], lambda_cesium_137, time_step)\n", + " quantities.append(new_quantity)" + ], + "metadata": { + "id": "aHxSCk0XMy-n" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Plotando o gráfico do decaimento\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(quantities, label=\"Césio-137\")\n", + "plt.title(\"Decaimento Radioativo do Césio-137 em Chernobyl\")\n", + "plt.xlabel(\"Tempo (anos)\")\n", + "plt.ylabel(\"Quantidade de Substância Radioativa\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 565 + }, + "id": "zGhE9lOFM4Cg", + "outputId": "142ffd09-22a8-47b6-b4eb-2b1d307c312a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "

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OHJFPe/fausTERMTFxaF+/fp4+vTpZ419JJFI0LlzZxw+fBgpKSny6Tt27ICtrS3q1KkDADhx4gSysrIwatQohWtBBg4cCAMDg4++5rm5uTh27BjatWsHBwcH+XQvLy80a9ZMYdkveW+TkpIA4L2n9L3Prl27YGhoiCZNmii0WT8/P+jp6cnbbH5HJ//88w+ys7MLte7c3FwcP34c7dq1g4uLi3y6tbU1vv32W5w/f16eV5VmzZqF48ePY926dahZsyaysrKQk5PzweUfPXqEoKAgdOvWrVDX+Ci7nzdu3FjhNNYaNWoAADp27KjwPuVP/9j+r+z7m+9TnzWCIGDPnj1o3bo1BEFQeF7NmjVDYmJigc/P3r17f/A61++//17hft26dRWelzL7OwDUqlULfn5+8vsODg5o27Ytjh07Jj9lsFevXsjMzMTu3bvly+3YsQM5OTnvvSaOqDRjIUVUiqWkpMi/CDx+/BiCIGDixIkwNzdXuE2ePBkAEBsbC+DtdTs+Pj6fXP+ff/4JX19faGlpwdTUFObm5jh06FChv2S/+0UXAAwNDaGlpSXvlOHd6e9eRxIaGoq7d+8WeB7lypVTeB4f2g4AGBsbF7g25X2ePXsGqVQKNzc3helWVlYwMjLCs2fPPrkO4G1xGhgYiG3btqFmzZqIjY0t8OUoLy8PCxYsgLu7OzQ1NWFmZgZzc3Pcvn1b4TV99uwZ3NzcClzP4uHhUajnY2NjU+ALopeXl3x+vgsXLiAgIAC6urowMjKCubm5vAe6zx1EtmvXrkhPT5dfl5eSkoLDhw+jc+fO8ueTn+G/z0dDQwMuLi4ffc1fvXqF9PR0uLu7F5j33/V9yXtrYGAAAIUeZiA0NBSJiYmwsLAo0G5TUlLkbbZ+/fro2LEjpkyZAjMzM7Rt2xYbNmz46DVbr169Qlpa2nvffy8vL+Tl5SEiIkK+bHR0tPz2bkGrrEqVKqFJkybo168fAgMDcfXq1Q92mQ68vfYGAHr06FGo9X/pfp4/Ppe9vf17p39s/1f2/f1QBkDxs+bVq1dISEjA6tWrCzyvvn37Aij4vJydnd+7LS0tLZibm39wW4By+zuA9+435cqVQ1paGl69egUA8PT0RLVq1eTvJ/D2va1Zs2aBfYmotGOvfUSl1IsXL5CYmCj/jy2/C+wff/yxwC/z+ZT5T3DLli3o06cP2rVrh59++gkWFhaQyWSYOXOmQgcKHyOTyQo1DYDChdF5eXmoUKEC5s+f/95l//vFqTDr/JQvHViyXr168gKxdevWqFChAnr06IGgoCD5r/MzZszAxIkT0a9fP0ybNg0mJiaQSqUYNWpUkXdh/l9PnjxB48aN4enpifnz58Pe3h4aGho4fPgwFixY8Nl5atasCScnJ+zcuRPffvstDh48iPT0dHTt2lXFz6DwPue9dXNzg5qamrwzg0/Jy8uDhYWFwpfPd+V/IZZIJNi9ezcuX76MgwcP4tixY+jXrx/mzZuHy5cvf7Q3vcKoVq2awpfnyZMnq2RgXw0NDbRp0wazZs1Cenr6e4+gbNu2DR4eHgpHPD5GVfv55+z/BgYGsLGxeW+vix/zqW3l7zffffcdevfu/d5l/ztkxYeORn1oW19Dr169MHLkSLx48QKZmZm4fPkyli5dKloeIrGwkCIqpfLHb8kvmvJP+VFXV0dAQMBHH+vq6vrJLxC7d++Gi4sL9u7dq/BFNP/oVlFydXVFcHAwGjdu/MUFTr4PrcfR0RF5eXkIDQ2V/4oLADExMUhISICjo6PS29LT08PkyZPRt29f7Ny5E926dQPw9jVt2LAh1q1bp7B8QkKCwlE6R0dH3LlzB4IgKOR++PDhJ7ft6OiIEydOIDk5WeFX6gcPHsjnA8DBgweRmZmJAwcOKPzK/qFeGZXRpUsXLFq0CElJSdixYwecnJxQs2ZNhYz5z+fdU9WysrIQFhb20fZrbm4ObW1thIaGFpj339fnS95bHR0dNGrUCKdOnUJERESBL/X/5erqihMnTsDf379QwxHUrFkTNWvWxO+//45t27ahR48e2L59e4Fux4G3z1lHR+e97/+DBw8glUrl+bZu3aowiOy7r++XSk9PhyAISE5OLvAcr1y5gsePH2Pq1KmFXl9R7OfKaNWqFVavXo1Lly6hVq1aKlmnubk59PX1kZub+8nPYVUo7P6e7337zaNHj+S9Mubr1q0bxowZg7/++gvp6elQV1cX9ccQIrHw1D6iUujUqVOYNm0anJ2d5afRWFhYoEGDBli1atV7B9vMP20DeHtNQXBw8Hu7uM3/ZTX/19B3f9W9cuXKV+n6tkuXLnj58iXWrFlTYF56ejpSU1OVXqeuri4AFOi+uWXLlgCAhQsXKkzP/5X8m2++UXpbwNvTm+zs7DB79mz5NJlMVuBX8l27dsmvXXs3U2RkpMI1CmlpaYUaGLRly5bIzc0t8OvxggULIJFI0KJFC3kWQPH9TUxMxIYNGwqsU1dXt9DdkgNvT+/LzMzEn3/+iaNHj6JLly4K8wMCAqChoYHFixcrbH/dunVITEz86Gsuk8nQrFkz7N+/H8+fP5dPv3//Po4dO6aw7Je+t5MnT4YgCOjZs+d7T5ELCgrCn3/+CeBtm83NzcW0adMKLJeTkyN//d68eVOgDeSPOfWh0/tkMhmaNm2Kv//+W6Fb75iYGGzbtg116tSRn6rm7++PgIAA+e1zCqn/nnoGvN1v9uzZA3t7e1hYWBSYv23bNgDAt99+W+jtFMV+roxx48ZBV1cXAwYMQExMTIH5T548waJFi5Rap0wmQ8eOHbFnz573/lj17uewKhR2f8936dIlhWu0IiIi8Pfff6Np06YKR8DMzMzQokULbNmyBVu3bkXz5s0LnJJNVBbwiBRRCXfkyBE8ePAAOTk5iImJwalTpxAYGAhHR0ccOHBAYayWZcuWoU6dOqhQoQIGDhwIFxcXxMTE4NKlS3jx4oV8vKKffvoJu3fvRufOndGvXz/4+fkhPj4eBw4cwMqVK1GxYkW0atUKe/fuRfv27fHNN98gLCwMK1euhLe39xddd1EYPXv2xM6dO/H999/j9OnT8Pf3R25uLh48eICdO3fi2LFjCoMUF0b+6Ua//PILunXrBnV1dbRu3RoVK1ZE7969sXr1aiQkJKB+/fq4evUq/vzzT7Rr1w4NGzb8rOegrq6OkSNH4qeffsLRo0fRvHlztGrVClOnTkXfvn1Ru3ZthISEYOvWrQW+7A4cOBBLly5Fr169EBQUBGtra2zevFmh44oPad26NRo2bIhffvkF4eHhqFixIo4fP46///4bo0aNkl8o37RpU2hoaKB169YYPHgwUlJSsGbNGlhYWBQoxP38/LBixQpMnz4dbm5usLCwkHcI8D5VqlSBm5sbfvnlF2RmZhb4Jdvc3BwTJkzAlClT0Lx5c7Rp0wYPHz7E8uXLUa1atU9e0D5lyhQcPXoUdevWxdChQ5GTk4MlS5agfPnyuH37tny5L31va9eujWXLlmHo0KHw9PREz5494e7ujuTkZJw5cwYHDhzA9OnTAby99mnw4MGYOXMmbt26haZNm0JdXR2hoaHYtWsXFi1ahE6dOuHPP//E8uXL0b59e7i6uiI5ORlr1qyBgYGBvPB7n+nTpyMwMBB16tTB0KFDoaamhlWrViEzMxNz5sz56PPId/DgQflnQHZ2Nm7fvi3P36ZNG/kpZy1atICdnR1q1KgBCwsLPH/+HBs2bEBkZCR27NhRYL25ubnYsWMHatasqdARw6cUxX6uDFdXV2zbtg1du3aFl5cXevXqBR8fH2RlZeHixYvYtWvXR68J+5BZs2bh9OnTqFGjBgYOHAhvb2/Ex8fjxo0bOHHiBOLj41X2HAq7v+fz8fFBs2bNMGLECGhqamL58uUA3u5T/9WrVy95hzfv+4GAqEz4yr0EEpGK5Hd/jne6H7ayshKaNGkiLFq0SKG733c9efJE6NWrl2BlZSWoq6sLtra2QqtWrYTdu3crLPf69Wth+PDhgq2traChoSHY2dkJvXv3lnfZm5eXJ8yYMUNwdHQUNDU1hcqVKwv//PNPge62BeHD3Z//d2yl3r17C7q6ugUy169fXyhfvrzCtKysLGH27NlC+fLlBU1NTcHY2Fjw8/MTpkyZIiQmJips+93xifI5OjoW6N552rRpgq2trSCVShW6R87OzhamTJkiODs7C+rq6oK9vb0wYcIEhW7kP+RDz1UQ3naxbGhoKO86PCMjQxg7dqxgbW0taGtrC/7+/sKlS5eE+vXrF+he/NmzZ0KbNm0EHR0dwczMTBg5cqS8K+2PdX8uCG/HCRs9erRgY2MjqKurC+7u7sIff/wh79o+34EDBwRfX19BS0tLcHJyEmbPni2sX7++QNfR0dHRwjfffCPo6+sLAORZ/9v9+bt++eUXAYDg5ub2wddu6dKlgqenp6Curi5YWloKQ4YMEd68efPB5d919uxZwc/PT9DQ0BBcXFyElStXvrc75i95b/MFBQUJ3377rfz1NDY2Fho3biz8+eefBbr5Xr16teDn5ydoa2sL+vr6QoUKFYRx48YJkZGRgiAIwo0bN4Tu3bsLDg4OgqampmBhYSG0atVKoUtqQSi4T+U/tlmzZoKenp6go6MjNGzYULh48WKhn0d+l9rvu23YsEG+3NKlS4U6deoIZmZmgpqammBubi60bt1a3n39f+W3y8WLFxc6S74v2c/DwsIEAMIff/yhMD2/Xe7atatQGR49eiQMHDhQcHJyEjQ0NAR9fX3B399fWLJkiUI7UeazJiYmRhg2bJhgb28vqKurC1ZWVkLjxo2F1atXFyrnhz4r39fGC7u/5+ffsmWL4O7uLv9cf9/+KwiCkJmZKRgbGwuGhobv7fae3Z9TWSARBCWutiYiIiKiMi8nJwc2NjZo3bp1ges6icoKXiNFRERERErZv38/Xr16hV69eokdhUg0PCJFRERERIVy5coV3L59G9OmTYOZmVmhB2AnKo14RIqIiIiICmXFihUYMmQILCwssGnTJrHjEImKR6SIiIiIiIiUxCNSRERERERESmIhRUREREREpCQWUkREREREREpSEztAcZCXl4fIyEjo6+tDIpGIHYeIiIiIiEQiCAKSk5NhY2MDqfTDx51YSAGIjIyEvb292DGIiIiIiKiYiIiIgJ2d3Qfns5ACoK+vD+Dti2VgYCBqluzsbBw/fhxNmzaFurq6qFmoZGCbIWWxzZCy2GZIWWwzpIzi1l6SkpJgb28vrxE+hIUUID+dz8DAoFgUUjo6OjAwMCgWDYmKP7YZUhbbDCmLbYaUxTZDyiiu7eVTl/ywswkiIiIiIiIlsZAiIiIiIiJSEgspIiIiIiIiJfEaKSIiIiKiDxAEATk5OcjNzRU7SqmVnZ0NNTU1ZGRkfJXXWSaTQU1N7YuHPWIhRURERET0HllZWYiKikJaWprYUUo1QRBgZWWFiIiIrzamq46ODqytraGhofHZ62AhRURERET0H3l5eQgLC4NMJoONjQ00NDS+2pf8siYvLw8pKSnQ09P76AC4qiAIArKysvDq1SuEhYXB3d39s7fJQoqIiIiI6D+ysrKQl5cHe3t76OjoiB2nVMvLy0NWVha0tLSKvJACAG1tbairq+PZs2fy7X4OdjZBRERERPQBX+OLPX19qnhf2TKIiIiIiMq4N2/eYMqUKYiKihI7SonBQoqIiIiIqAwTBAG9e/dGeno6rK2tC/WYjRs3wsjIqGiDFXMspIiIiIiISqHo6Gj88MMPcHFxgaamJuzt7dG6dWucPHlSYbk//vgDBgYGmDlzZqHX3bVrVzx69OiLM+7duxfNmjWDi4sLZDIZbt26VWCZwYMHw9XVFdra2jA3N0fbtm3x4MED+fyNGzdCIpG89xYbG/vFGT+EnU0QEREREZUy4eHh8Pf3h5GREf744w9UqFAB2dnZOHbsGIYNG6ZQiIwbN07p9Wtra0NbW/uLc6ampqJOnTpo3bo1Ro4c+d5l/Pz80KNHDzg4OCA+Ph6//fYbmjZtKu9VsWvXrmjevLnCY/r06YOMjAxYWFh8ccYP4REpIiIiIqJSZujQoZBIJLh69So6duyIcuXKoXz58hgzZgwuX74MAEhISMCAAQNgbm4OAwMDNGrUCMHBwfJ1BAcHo2HDhtDX14eBgQH8/Pxw/fp1AO8/tW/FihVwdXWFhoYGPDw8sHnz5k/m7NmzJyZOnIgGDRp8cJlBgwahXr16cHJyQpUqVTB9+nREREQgPDwcwNuizsrKSn6TyWQ4deoU+vfvr9yLpiRRC6lz586hdevWsLGxgUQiwf79+xXmC4KASZMmwdraGtra2ggICEBoaKjCMvHx8ejRowcMDAxgZGSE/v37IyUl5Ss+CyIiIiIqCwRBQFpWjig3QRAKnTM+Ph5Hjx7FsGHDoKurW2B+fgHUuXNnxMbG4siRIwgKCkKVKlXQuHFjxMfHAwB69OgBOzs7XLt2DUFBQRg/fjzU1dXfu819+/Zh5MiRGDt2LO7cuYPBgwejb9++OH36tPIv9EekpqZiw4YNcHZ2hr29/XuX2bRpE3R0dNCpUyeVbvu/RD21LzU1FRUrVkS/fv3QoUOHAvPnzJmDxYsX488//4SzszMmTpyIZs2a4d69e/L+3nv06IGoqCgEBgYiOzsbffv2xaBBg7Bt27av/XSIiIiIqBRLz86F96Rjomz73tRm0NEo3Ff3x48fQxAEeHp6fnCZ8+fP4+rVq4iNjYWmpiYAYO7cudi/fz92796NQYMG4fnz5/jpp5/k63F3d//g+ubOnYs+ffpg6NChACA/8jV37lw0bNiwsE/zg5YvX45x48YhNTUVHh4eCAwMhIaGxnuXXbduHb799luVnHr4MaIekWrRogWmT5+O9u3bF5gnCAIWLlyIX3/9FW3btoWvry82bdqEyMhI+ZGr+/fv4+jRo1i7di1q1KiBOnXqYMmSJdi+fTsiIyO/8rMhIiIiIhJfYY5eBQcHIyUlBaamptDT05PfwsLC8OTJEwBvi6EBAwYgICAAs2bNkk9/n/v378Pf319hmr+/P+7fvw8A2Lp1q8J2/v33X6WeU48ePXDz5k2cPXsW5cqVQ5cuXZCRkVFguUuXLuH+/ftFflofUIw7mwgLC0N0dDQCAgLk0wwNDVGjRg1cunQJ3bp1w6VLl2BkZISqVavKlwkICIBUKsWVK1feW6AVd/+GxuHuGwlaih2EiIiIiBRoq8twb2oz0bZdWO7u7pBIJAodSvxXSkoKrK2tcebMmQLz8k/9++233/Dtt9/i0KFDOHLkCCZPnozt27d/1nfsNm3aoEaNGvL7tra2Sj3e0NAQhoaGcHd3R82aNWFsbIx9+/ahe/fuCsutXbsWlSpVgp+fn9IZlVVsC6no6GgAgKWlpcJ0S0tL+bzo6OgCPXGoqanBxMREvsz7ZGZmIjMzU34/KSkJAJCdnY3s7GyV5P8cR+/G4IftwdBTl6JPYhrMDXVEy0IlR36bFbPtUsnCNkPKYpshZZWGNpOdnQ1BEJCXl4e8vDz5dC01cU7oEgSh0NdJGRkZoWnTpli2bBmGDx9e4DqphIQEVKpUCdHR0ZBKpXByciqwjvzn7ObmhpEjR2LkyJH49ttvsX79erRt21Y+P/9fLy8vnD9/Hj179pSv4/z58/Dy8kJeXh50dXXh4uLy3m28+7z++3q/T25uLgRBQHp6usKyKSkp2LlzJ2bMmPHJdeTl5UEQBGRnZ0MmUyxSC9tui20hVZRmzpyJKVOmFJh+/Phx6OiIV7zk5AGW2jLEpEswYuM59HT/eAMgeldgYKDYEaiEYZshZbHNkLJKcptRU1ODlZUVUlJSkJWVJXYcpc2aNQvNmzdH9erVMWHCBJQvXx45OTk4c+YM1q9fj8uXL6NatWpo27YtpkyZAjc3N0RFReH48eNo1aoVPD09MWnSJLRt2xYODg6IjIzE1atX0bp1ayQlJSEjIwOCIMgPSAwdOhR9+/aFp6cnGjRogKNHj2Lfvn3Yv3+/fJn3efPmDV68eIGoqCgAwK1bt5CamgoLCwtYWloiPDwce/fuRaNGjWBqaorIyEgsXLgQWlpaqFu3rsK6N2/ejJycHLRp0+aj2wSArKwspKen49y5c8jJyVGYl5aWVqjXuNgWUlZWVgCAmJgYhRGWY2JiUKlSJfky/x1kKycnB/Hx8fLHv8+ECRMwZswY+f2kpCTY29ujadOmMDAwUOGzUJ5N+Th8uz4I1+OkGNjcD408zEXNQ8VfdnY2AgMD0aRJkw/2pEP0LrYZUhbbDCmrNLSZjIwMREREQE9PT97JWUni6+uLoKAgzJgxA5MmTUJUVBTMzc1RpUoVrFixAoaGhjh69Ch+/fVX/PDDD3j16hWsrKxQt25duLi4wNjYGMnJyRg6dChiYmJgZmaG9u3bY+bMmdDS0oKWlhYkEon8u3P37t2RkJCA+fPnY8KECXB2dsa6devQsuXHL1jZu3evwvVM+X9PmjQJkydPhpmZGa5du4ZVq1bhzZs3sLS0RN26dXHhwgW4uroqrOuvv/5C+/btP9ib37syMjKgra2NevXqFXh/P1WE5ZMIyvSlWIQkEgn27duHdu3aAXh7iM/GxgY//vgjxo4dC+Dtk7KwsMDGjRvRrVs33L9/H97e3rh+/br8PMjjx4+jefPmePHiBWxsbAq17aSkJBgaGiIxMVH0Qio7OxuDlx/FqSgpLA00cXx0fRhql8wPIPo6srOzcfjwYbRs2bLE/mdFXxfbDCmLbYaUVRraTEZGBsLCwuDs7FwiC6mSJC8vD0lJSTAwMIBU+nVOnfzY+1vY2kDUXvtSUlJw69Yt3Lp1C8DbDiZu3bqF58+fQyKRYNSoUZg+fToOHDiAkJAQ9OrVCzY2NvJiy8vLC82bN8fAgQNx9epVXLhwAcOHD0e3bt0KXUQVRy3s8+BkqoOYpEzMOHRf7DhERERERPQfohZS169fR+XKlVG5cmUAb7tYrFy5MiZNmgQAGDduHH744QcMGjQI1apVQ0pKCo4ePapQNW7duhWenp5o3LgxWrZsiTp16mD16tWiPB9V0ZABM9qVh0QC7LgegX9DX4kdiYiIiIiI3iHqNVINGjT4aO8jEokEU6dOxdSpUz+4jImJSakcfLeakzF613LCxovhGL8nBMdG14OeZrG9pI2IiIiIqEwR9YgUfdxPzTxgZ6yNlwnpmHP0w+MAEBERERHR18VCqhjT1VTD7I6+AIBNl57hytPXIiciIiIiIiKAhVSx5+9mhu7V33bhOG7PbaRn5YqciIiIiKjsKCYdXJOKqeJ9ZSFVAkxo6QVrQy08e52Guccfih2HiIiIqNTL77a9sIOzUsmS/75+Sff87L2gBDDQUseM9hXQd+M1rL8QhhY+VqjqZCJ2LCIiIqJSSyaTwcjICLGxsQAAHR0dSCQSkVOVTnl5ecjKykJGRkaRjyMlCALS0tIQGxsLIyMjyGSyz14XC6kSoqGnBTr52WF30Av8uCsYR0bWg7bG57/xRERERPRxVlZWACAvpqhoCIKA9PR0aGtrf7Vi1cjISP7+fi4WUiXIxFbeOB8ah/DXaZhz7AEmty4vdiQiIiKiUksikcDa2hoWFhbIzs4WO06plZ2djXPnzqFevXpfdKpdYamrq3/Rkah8LKRKEENtdczu5Ive669iw4VwNCtvhZoupmLHIiIiIirVZDKZSr540/vJZDLk5ORAS0vrqxRSqsLOJkqY+uXM5b34/bQ7GKmZOSInIiIiIiIqe1hIlUD/a+kFWyNtRMSnY9YRDtRLRERERPS1sZAqgfS11OUD9W6+/AwXHseJnIiIiIiIqGxhIVVC1XE3w3c1HQAA43bfRnIGL4AkIiIiIvpaWEiVYBNaeMHeRBsvE9Ix4/B9seMQEREREZUZLKRKMF1NNfzRqSIA4K+rETj76JXIiYiIiIiIygYWUiVcTRdT9KntBAD4efdtJKbxFD8iIiIioqLGQqoU+Lm5J5zNdBGdlIHfDt4VOw4RERERUanHQqoU0NaQYV6XipBKgH03X+JwSJTYkYiIiIiISjUWUqVEFQdjDG3gBgD4ZV8IYpMyRE5ERERERFR6sZAqRUY0doe3tQHepGVj/N4QCIIgdiQiIiIiolKJhVQpoqEmxYKulaAhk+LUg1jsuBYhdiQiIiIiolKJhVQp42Glj5+aeQAApv1zD89fp4mciIiIiIio9GEhVQr1q+OM6s4mSM3Kxdhdt5Cbx1P8iIiIiIhUiYVUKSSTSjCvc0XoashwLfwN1v77VOxIRERERESlCgupUsreRAeTWnsDAOYdf4QH0UkiJyIiIiIiKj1YSJViXaraI8DLAlm5eRi9IxiZObliRyIiIiIiKhVYSJViEokEMzv4wkRXA/ejkjD/+COxIxERERERlQospEo5c31NzOpQAQCw+t+nuPgkTuREREREREQlHwupMqBpeSt0r24PQQDG7gxGYlq22JGIiIiIiEo0FlJlxK/feMPJVAdRiRn4ZX8IBIFdohMRERERfS4WUmWErqYaFnarDJlUgn9uR2H/rZdiRyIiIiIiKrFYSJUhleyNMLKxOwBg0v67iIhPEzkREREREVHJxEKqjBnawBV+jsZIzszB2J3ByM3jKX5ERERERMpiIVXGqMmkWNClEvQ01XA1PB4rzz4ROxIRERERUYnDQqoMcjDVwW9tygMAFgQ+QsiLRJETERERERGVLCykyqiOVWzRsoIVcvIEjNxxE2lZOWJHIiIiIiIqMVhIlVESiQQz2leAlYEWnr5KxbR/7okdiYiIiIioxGAhVYYZ6WhgfteKkEiAv65G4HBIlNiRiIiIiIhKBBZSZVxtVzMMqe8KABi/5zZeJqSLnIiIiIiIqPhjIUUY3aQcKtobISkjB6O332KX6EREREREn8BCiqAuk2Jxt//rEn3Z6cdiRyIiIiIiKtZYSBEAwNFUF9Pave0SfdHJUAQ9ixc5ERERERFR8cVCiuTaV7ZDu0o2yM0TMOKvW0hMzxY7EhERERFRscRCihRMa+cDBxMdvExIxy/7QiAIvF6KiIiIiOi/WEiRAn0tdSzqVgkyqQT/3I7C7qAXYkciIiIiIip2WEhRAZUdjDGmSTkAwOQDd/HkVYrIiYiIiIiIihcWUvRe39d3RS0XU6Rl5WL4tpvIyM4VOxIRERERUbHBQoreSyaVYGG3SjDV1cD9qCTMOHxf7EhERERERMUGCyn6IEsDLczrUhEAsOnSMxy9EyVyIiIiIiKi4oGFFH1UAw8LDK7nAgAYt/s2IuLTRE5ERERERCQ+FlL0ST8280AleyMkZeRgxPabyM7NEzsSEREREZGoWEjRJ6nLpFjSvTL0tdRw83kC5h1/JHYkIiIiIiJRsZCiQrE30cGcjr4AgJVnn+DMw1iRExERERERiYeFFBVaiwrW+K6mAwBg7M5gxCRliJyIiIiIiEgcLKRIKb9+4w1PK328Ts3CqO23kJsniB2JiIiIiOirYyFFStFSl2Hpt1WgrS7DpaevsfhkqNiRiIiIiIi+OhZSpDQ3Cz383t4HALD4VCjOh8aJnIiIiIiI6OtiIUWfpUMVO3SrZg9BAEZuv8nrpYiIiIioTGEhRZ/ttzbl5ddL/fDXTeRwfCkiIiIiKiNYSNFn01KXYXmPKtDVkOFqWDzmB3J8KSIiIiIqG1hI0RdxMdfDrP8/vtTyM09wmuNLEREREVEZwEKKvljrijboWdMRADB6xy1EJqSLnIiIiIiIqGixkCKV+LWVFyrYGiIhLRvDt91ANq+XIiIiIqJSjIUUqYSmmgzLvq0CfS013HiegDlHH4gdiYiIiIioyLCQIpVxMNXBH50qAgDW/BuGY3ejRU5ERERERFQ0WEiRSjX3sUL/Os4AgB93BiMsLlXkREREREREqsdCilRufAtPVHU0RnJmDoZsCUJ6Vq7YkYiIiIiIVIqFFKmcukyKZT2qwExPAw+ik/HLvhAIgiB2LCIiIiIilWEhRUXC0kALS7pXgVQC7L35EtuuPhc7EhERERGRyrCQoiJTy9UU45p7AgCmHLiH4IgEcQMREREREakICykqUoPruaCptyWycvMwdOsNvEnNEjsSEREREdEXYyFFRUoikWBul4pwMtXBy4R0jNxxC7l5vF6KiIiIiEo2FlJU5Ay01LHiOz9oqUtx7tErLDkVKnYkIiIiIqIvwkKKvgovawP83q4CAGDRyVCcfhgrciIiIiIios/HQoq+mo5+duhRwwGCAIz86yaeveZgvURERERUMn1RIZWRkYGkpCSFG9HHTGrtjcoORkjKyMHgzUFIy8oROxIRERERkdKULqTS0tIwfPhwWFhYQFdXF8bGxgo3oo/RVJNhRQ8/mOlp4kF0Mn7ew8F6iYiIiKjkUbqQ+umnn3Dq1CmsWLECmpqaWLt2LaZMmQIbGxts2rSpKDJSKWNlqIXlPapATSrBweBIrDsfJnYkIiIiIiKlKF1IHTx4EMuXL0fHjh2hpqaGunXr4tdff8WMGTOwdevWoshIpVB1ZxP8+o0XAGDmkQe4+CRO5ERERERERIWndCEVHx8PFxcXAICBgQHi4+MBAHXq1MG5c+dUm45Ktd61ndChsi1y8wT8sO0mIhPSxY5ERERERFQoShdSLi4uCAt7eyqWp6cndu7cCeDtkSojIyOVhqPSTSKRYEaHCvC2NsDr1Cx8vyUIGdm5YsciIiIiIvokpQupvn37Ijg4GAAwfvx4LFu2DFpaWhg9ejR++uknlQek0k1LXYZVPf1gpKOO2y8SMenvO+x8goiIiIiKPTVlHzB69Gj53wEBAXjw4AGCgoLg5uYGX19flYajssHeRAdLuldG7/VXsfP6C1SwNUTPWk5ixyIiIiIi+iClj0hFREQo3Hd0dESHDh2KpIjKzc3FxIkT4ezsDG1tbbi6umLatGkKRywEQcCkSZNgbW0NbW1tBAQEIDQ0VOVZqGjVdTfHuOaeAIApB+/hytPXIiciIiIiIvowpQspJycn1K9fH2vWrMGbN2+KIpPc7NmzsWLFCixduhT379/H7NmzMWfOHCxZskS+zJw5c7B48WKsXLkSV65cga6uLpo1a4aMjIwizUaqN7ieC1pXtEFOnoChW2/gxZs0sSMREREREb2X0oXU9evXUb16dUydOhXW1tZo164ddu/ejczMTJWHu3jxItq2bYtvvvkGTk5O6NSpE5o2bYqrV68CeHs0auHChfj111/Rtm1b+Pr6YtOmTYiMjMT+/ftVnoeKlkQiwZyOvihv87bzicGbg5Cexc4niIiIiKj4UbqQqly5Mv744w88f/4cR44cgbm5OQYNGgRLS0v069dPpeFq166NkydP4tGjRwCA4OBgnD9/Hi1atAAAhIWFITo6GgEBAfLHGBoaokaNGrh06ZJKs9DXoa0hw+peVWGqq4G7kUkYt+c2O58gIiIiomJH6c4m8kkkEjRs2BANGzbEkCFD0L9/f/z5559Yv369ysKNHz8eSUlJ8PT0hEwmQ25uLn7//Xf06NEDABAdHQ0AsLS0VHicpaWlfN77ZGZmKhxBS0pKAgBkZ2cjOztbZfk/R/72xc4hJgtdNSzu5oveG4JwMDgSHha6GFzPWexYxRbbDCmLbYaUxTZDymKbIWUUt/ZS2ByfXUi9ePEC27Ztw7Zt23Dnzh3UqlULy5Yt+9zVvdfOnTuxdetWbNu2DeXLl8etW7cwatQo2NjYoHfv3p+93pkzZ2LKlCkFph8/fhw6OjpfElllAgMDxY4guvaOEuwKk2Fe4CMkRTxAeWMemfoYthlSFtsMKYtthpTFNkPKKC7tJS2tcNfpSwQlz5tatWoVtm3bhgsXLsDT0xM9evTAt99+C0dHx88K+jH29vYYP348hg0bJp82ffp0bNmyBQ8ePMDTp0/h6uqKmzdvolKlSvJl6tevj0qVKmHRokXvXe/7jkjZ29sjLi4OBgYGKn8eysjOzkZgYCCaNGkCdXV1UbOITRAETDxwDzuuv4S+lhr2DK4BZzNdsWMVO2wzpCy2GVIW2wwpi22GlFHc2ktSUhLMzMyQmJj40dpA6SNS06dPR/fu3bF48WJUrFjxi0J+SlpaGqRSxcu4ZDIZ8vLyAADOzs6wsrLCyZMn5YVUUlISrly5giFDhnxwvZqamtDU1CwwXV1dvVi8eUDxyiKmae188eRVGq4/e4Pvt93C/mH+MNDi6/I+bDOkLLYZUhbbDCmLbYaUUVzaS2EzKF1IPX/+HBKJROlAn6N169b4/fff4eDggPLly+PmzZuYP3++vFMLiUSCUaNGYfr06XB3d4ezszMmTpwIGxsbtGvX7qtkpKKloSbF8u+qoM2SC3j6KhUj/rqJdb2rQSb9Om2QiIiIiOh9ClVI3b59Gz4+PpBKpQgJCfnosqocmHfJkiWYOHEihg4ditjYWNjY2GDw4MGYNGmSfJlx48YhNTUVgwYNQkJCAurUqYOjR49CS0tLZTlIXBb6WljTqyo6r7qIMw9fYebh+/i1lbfYsYiIiIioDCtUIVWpUiVER0fDwsIClSpVgkQiUeiSOv++RCJBbq7qxv3R19fHwoULsXDhwg8uI5FIMHXqVEydOlVl26Xip4KdIeZ2rojh225i7fkwlLPUR5dq9mLHIiIiIqIyqlCFVFhYGMzNzeV/E4mhla8NQmNSsOhkKH7ZHwInM11UdzYROxYRERERlUGFGpDX0dFRfl3Us2fPYGtrC0dHR4Wbra0tnj17VqRhiUY2dkfLClbIzhXw/ZYgRMQXrntKIiIiIiJVKlQh9a6GDRsiPj6+wPTExEQ0bNhQJaGIPkQqlWBe50rwsTVAfGoWBvx5HSmZOWLHIiIiIqIyRulCKv9aqP96/fo1dHU5xg8VPW0NGdb0qgpzfU08jEnGqO03kZvHwXqJiIiI6OspdPfnHTp0APC2c4c+ffoojMOUm5uL27dvo3bt2qpPSPQe1obaWN3TD11XX8aJ+7H449hDjG/hKXYsIiIiIiojCl1IGRoaAnh7REpfXx/a2tryeRoaGqhZsyYGDhyo+oREH1DZwRh/dPLFyO23sPLsE7hZ6KGTn53YsYiIiIioDCh0IbVhwwYAgJOTE3788UeexkfFQttKtngUk4xlp59gwt7bsDfWRg0XU7FjEREREVEpp/Q1UpMnT2YRRcXK2CYe8p78Bm8JQnhcqtiRiIiIiKiUK/QRqXft3r0bO3fuxPPnz5GVlaUw78aNGyoJRlRY+T35vXxzCcEvEtFv4zXsG+oPQx11saMRERERUSml9BGpxYsXo2/fvrC0tMTNmzdRvXp1mJqa4unTp2jRokVRZCT6JG0NGdb0rgobQy08jUvF91uCkJWTJ3YsIiIiIiqllC6kli9fjtWrV2PJkiXQ0NDAuHHjEBgYiBEjRiAxMbEoMhIVioW+Ftb1qQZdDRkuPX2NifvvQBDYLToRERERqZ7ShdTz58/l3Zxra2sjOTkZANCzZ0/89ddfqk1HpCQvawMs/bYKpBJgx/UIrDr3VOxIRERERFQKKV1IWVlZIT4+HgDg4OCAy5cvAwDCwsL46z8VCw09LTCplTcAYPbRBzh6J1rkRERERERU2ihdSDVq1AgHDhwAAPTt2xejR49GkyZN0LVrV7Rv317lAYk+Rx9/Z/Sq5QhBAEbtuInbLxLEjkREREREpYjSvfatXr0aeXlvL+IfNmwYTE1NcfHiRbRp0waDBw9WeUCizzWplTeevU7D2Uev0G/jdewbWhv2JjpixyIiIiKiUkDpI1JSqRRqav9Xf3Xr1g2LFy/GDz/8AA0NDZWGI/oSajIpln5bGZ5W+ohLyUTfjdeQmJ4tdiwiIiIiKgWULqQAICEhAfPmzcOAAQMwYMAALFiwgD32UbGkr6WODX2rwcpAC49jU/D9ZnaLTkRERERfTulC6vr163B1dcWCBQsQHx+P+Ph4zJ8/H66urhyMl4ola0NtrH+nW/Txe26zYxQiIiIi+iJKF1KjR49GmzZtEB4ejr1792Lv3r0ICwtDq1atMGrUqCKISPTlvG0MsPw7P8ikEuy9+RILToSKHYmIiIiISrDPOiL1888/K1wnpaamhnHjxuH69esqDUekSvXLmWN6Ox8AwOKTodh1PULkRERERERUUildSBkYGOD58+cFpkdEREBfX18loYiKSvfqDhjawBUAMGFvCM6HxomciIiIiIhKIqULqa5du6J///7YsWMHIiIiEBERge3bt2PAgAHo3r17UWQkUqkfm3qgTUUb5OQJGLIlCA+ik8SOREREREQljNLjSM2dOxcSiQS9evVCTk4OAEBdXR1DhgzBrFmzVB6QSNWkUgn+6OyL6MQMXA2PR5/117B3aG3YGGmLHY2IiIiISgilj0hpaGhg0aJFePPmDW7duoVbt24hPj4eCxYsgKamZlFkJFI5TTUZVvfyg5uFHqKTMtBnw1WOMUVEREREhfZZ40gBgI6ODipUqIAKFSpAR0dHlZmIvgojHQ1s7FsNFvqaeBSTgkGbriMzJ1fsWERERERUAhTq1L4OHTpg48aNMDAwQIcOHT667N69e1USjOhrsDPWwca+1dFl1SVcCYvHmJ3BWNKtMqRSidjRiIiIiKgYK1QhZWhoCIlEIv+bqDTxtjHAqp5+6LPhKg7djoKVgRYmtvIWOxYRERERFWOFKqQ2bNjw3r+JSgt/NzPM7VwRI7ffwrrzYbA21MKAui5ixyIiIiKiYuqzr5EiKm3aVrLF/1p6AgCmH7qPA8GRIiciIiIiouKqUEekKleuLD+171Nu3LjxRYGIxDSwrguiEjOw4UI4xu68BTNdDdR2MxM7FhEREREVM4UqpNq1ayf/OyMjA8uXL4e3tzdq1aoFALh8+TLu3r2LoUOHFklIoq9FIpFg4jfeiE3KxKGQKAzaHITtg2rCx5bXBhIRERHR/ylUITV58mT53wMGDMCIESMwbdq0AstERESoNh2RCKRSCeZ1qYjXqZm4/DQefTZcxe7va8PJTFfsaERERERUTCh9jdSuXbvQq1evAtO/++477NmzRyWhiMSmpS7Dml5V4W1tgLiULPRafxWxyRlixyIiIiKiYkLpQkpbWxsXLlwoMP3ChQvQ0tJSSSii4kBfSx1/9qsOR1MdPI9PQ+/115CUkS12LCIiIiIqBgp1at+7Ro0ahSFDhuDGjRuoXr06AODKlStYv349Jk6cqPKARGIy19fE5n410GHFRdyPSsLAP6/jz37VoaUuEzsaEREREYlI6UJq/PjxcHFxwaJFi7BlyxYAgJeXFzZs2IAuXbqoPCCR2BxMdfBnv2rotuoyroTFY+T2m1jeww8yaeF6siQiIiKi0uezxpHq0qULLly4gPj4eMTHx+PChQssoqhUK29jiNW9qkJDTYpjd2Pw6/4QCIIgdiwiIiIiEgkH5CUqpFqupljcrRKkEuCvqxGYe/yh2JGIiIiISCRKF1K5ubmYO3cuqlevDisrK5iYmCjciEqz5j7W+L19BQDAstNPsObcU5ETEREREZEYlC6kpkyZgvnz56Nr165ITEzEmDFj0KFDB0ilUvz2229FEJGoeOle3QHjmnsAAH4/fB87rj0XORERERERfW1KF1Jbt27FmjVrMHbsWKipqaF79+5Yu3YtJk2ahMuXLxdFRqJiZ2gDNwyu7wIAmLA3BIdDokRORERERERfk9KFVHR0NCpUeHtqk56eHhITEwEArVq1wqFDh1SbjqgYG9/cE92r2yNPAEZuv4lzj16JHYmIiIiIvhKlCyk7OztERb399d3V1RXHjx8HAFy7dg2ampqqTUdUjEkkEkxvVwHf+FojO1fA4M1BCHoWL3YsIiIiIvoKlC6k2rdvj5MnTwIAfvjhB0ycOBHu7u7o1asX+vXrp/KARMWZTCrBgi6VUL+cOdKzc9F3wzXcj0oSOxYRERERFTGlB+SdNWuW/O+uXbvC0dERFy9ehLu7O1q3bq3ScEQlgYaaFCu+q4Je667i+rM36LnuKnZ/XwtOZrpiRyMiIiKiIvLF40jVrFkTY8aMQevWrXH9+nVVZCIqcXQ01LCuTzV4WRsgLiUTPdZewcuEdLFjEREREVERUbqQSklJQXq64hfEW7duoXXr1qhRo4bKghGVNIba6tjUrzpczHTxMiEd3629gtjkDLFjEREREVERKHQhFRERgVq1asHQ0BCGhoYYM2YM0tLS0KtXL9SoUQO6urq4ePFiUWYlKvbM9TWxZUAN2BppIywuFT3XXsWb1CyxYxERERGRihW6kPrpp5+QkZGBRYsWoU6dOli0aBHq168PAwMDPHnyBNu3b+cRKSIANkba2DawBiwNNPEwJhm91l9FUka22LGIiIiISIUKXUidO3cOK1aswPDhw7F9+3YIgoAePXpg6dKlsLOzK8qMRCWOo6kutg6oARNdDYS8TES/DdeQlpUjdiwiIiIiUpFCF1IxMTFwdnYGAFhYWEBHRwctWrQosmBEJZ2bhT42968OAy01XH/2BoM2BSEjO1fsWERERESkAkp1NiGVShX+1tDQUHkgotKkvI0hNvarDl0NGc4/jsOwrTeQnZsndiwiIiIi+kKFLqQEQUC5cuVgYmICExMTpKSkoHLlyvL7+TciUlTFwRhre1eDppoUJx/EYuT2m8hhMUVERERUohV6QN4NGzYUZQ6iUq2WqylW9fTDoE1BOBwSDXVZMOZ3qQSZVCJ2NCIiIiL6DIUupHr37l2UOYhKvQYeFljWowqGbAnC37cioSaV4o9OvpCymCIiIiIqcZQekJeIPl8Tb0ss6V4ZMqkEe268wP/2hSAvTxA7FhEREREpiYUU0VfWooI1FnStBKkE2H4tApMP3IUgsJgiIiIiKklYSBGJoE1FG8ztXBESCbD58jNM/eceiykiIiKiEoSFFJFIOlSxw+wOvgCADRfCMevIAxZTRERERCUECykiEXWpZo/f2/sAAFade4q5xx+ymCIiIiIqAQrda9+7Xrx4gQMHDuD58+fIyspSmDd//nyVBCMqK3rUcER2Th5+O3gPy04/gQQSjG1aDhIJe/MjIiIiKq6ULqROnjyJNm3awMXFBQ8ePICPjw/Cw8MhCAKqVKlSFBmJSr0+/s7IE4Cp/9zD0tOPAYDFFBEREVExpvSpfRMmTMCPP/6IkJAQaGlpYc+ePYiIiED9+vXRuXPnoshIVCb0q+OMSa28AQBLTz/GvOOPeJofERERUTGldCF1//599OrVCwCgpqaG9PR06OnpYerUqZg9e7bKAxKVJSymiIiIiEoGpQspXV1d+XVR1tbWePLkiXxeXFyc6pIRlVEspoiIiIiKP6WvkapZsybOnz8PLy8vtGzZEmPHjkVISAj27t2LmjVrFkVGojKnXx1nALxmioiIiKi4UrqQmj9/PlJSUgAAU6ZMQUpKCnbs2AF3d3f22EekQv8tpvIEAT8182AxRURERFQMKF1Iubi4yP/W1dXFypUrVRqIiP7Pu8XU8jNPkJMnYEILTxZTRERERCLjgLxExVy/Os6Y0qY8AGD1uaeYcvAer5kiIiIiElmhjkiZmJjg0aNHMDMzg7Gx8Ud/DY+Pj1dZOCJ6q3dtJ6jJJPhl3x1svBiOnLw8TG3jA6mUR6aIiIiIxFCoQmrBggXQ19eX/83Tioi+vh41HKEuleLnvbex5fJzZOcImNmhgtixiIiIiMqkQhVSvXv3lv/dp0+fospCRJ/QpZo91NUkGLszGDuuRyA7Lw8z2nqLHYuIiIiozFG6s4nDhw9DJpOhWbNmCtOPHz+O3NxctGjRQmXhiKig9pXtIJNKMXrHLey98RJZ2blopCt2KiIiIqKyRenOJsaPH4/c3NwC0/Py8jB+/HiVhCKij2tT0QZLu1eGmlSCf0KisemRFFk5eWLHIiIiIiozlC6kQkND4e1d8FQiT09PPH78WCWhiOjTWlSwxorv/KAuk+BWvBRD/7qFjOyCP3IQERERkeopXUgZGhri6dOnBaY/fvwYuro8v4joa2ribYlVPSpDXSrg7KM49Nt4DamZOWLHIiIiIir1lC6k2rZti1GjRuHJkyfyaY8fP8bYsWPRpk0blYYjok+r626G771yoashw8Unr9Fr/VUkpmeLHYuIiIioVFO6kJozZw50dXXh6ekJZ2dnODs7w8vLC6amppg7d25RZCSiT3AzAP7sWxUGWmoIevYGPdZeRnxqltixiIiIiEotpXvtMzQ0xMWLFxEYGIjg4GBoa2vD19cX9erVK4p8RFRIFe0MsX1QLfRcdwV3Xiah66pL2DqgBiwMtMSORkRERFTqKF1IAYBEIkHTpk3RtGlTVechoi/gbWOAHYNrocfaywiNTUHn/19M2RnriB2NiIiIqFT5rELq5MmTOHnyJGJjY5GXp9jl8vr161USjIg+j5uFHnYNro0e6y7j2es0dFl5CZsH1ICruZ7Y0YiIiIhKDaWvkZoyZQqaNm2KkydPIi4uDm/evFG4EZH4HEx1sHNwLbia6yIyMQNdVl7CnZeJYsciIiIiKjWULqRWrlyJjRs34sqVK9i/fz/27duncFO1ly9f4rvvvoOpqSm0tbVRoUIFXL9+XT5fEARMmjQJ1tbW0NbWRkBAAEJDQ1Weg6iksTbUxs7BteBja4DXqVnovvoyrobFix2LiIiIqFRQupDKyspC7dq1iyJLAW/evIG/vz/U1dVx5MgR3Lt3D/PmzYOxsbF8mTlz5mDx4sVYuXIlrly5Al1dXTRr1gwZGRlfJSNRcWaqp4m/BtZEdWcTJGfmoOe6Kzj9IFbsWEREREQlntKF1IABA7Bt27aiyFLA7NmzYW9vjw0bNqB69epwdnZG06ZN4erqCuDt0aiFCxfi119/Rdu2beHr64tNmzYhMjIS+/fv/yoZiYo7fS11bOpXHY08LZCZk4eBm67jQHCk2LGIiIiISjSlO5vIyMjA6tWrceLECfj6+kJdXV1h/vz581UW7sCBA2jWrBk6d+6Ms2fPwtbWFkOHDsXAgQMBAGFhYYiOjkZAQID8MYaGhqhRowYuXbqEbt26qSwLUUmmpS7Dqp5++HFXMP6+FYmR228iOSMbPWo4ih2NiIiIqERSupC6ffs2KlWqBAC4c+eOwjyJRKKSUPmePn2KFStWYMyYMfjf//6Ha9euYcSIEdDQ0EDv3r0RHR0NALC0tFR4nKWlpXze+2RmZiIzM1N+PykpCQCQnZ2N7OxslT4HZeVvX+wcVHIo02bmtC8PPQ0Ztl6NwC/77uBNSiYG1XVS+b5LxRs/Z0hZbDOkLLYZUkZxay+FzSERBEEo4iyfTUNDA1WrVsXFixfl00aMGIFr167h0qVLuHjxIvz9/REZGQlra2v5Ml26dIFEIsGOHTveu97ffvsNU6ZMKTB927Zt0NHheDtUugkCcDhCiuMv357Z28A6D20d8yBlLUVERESEtLQ0fPvtt0hMTISBgcEHl/uscaS+Fmtra3h7eytM8/Lywp49ewAAVlZWAICYmBiFQiomJkZ+1Ox9JkyYgDFjxsjvJyUlwd7eHk2bNv3oi/U1ZGdnIzAwEE2aNClw2iTR+3xOm/kGwIaLzzDjyEOciZLC0MIWM9uXh7pM6csmqQTi5wwpi22GlMU2Q8oobu0l/2y1T/msQur69evYuXMnnj9/jqysLIV5e/fu/ZxVvpe/vz8ePnyoMO3Ro0dwdHx7XYezszOsrKxw8uRJeeGUlJSEK1euYMiQIR9cr6amJjQ1NQtMV1dXLxZvHlC8slDJoGybGVTfDeYGWvhp1238HRyFhPQcrPiuCnQ0ivXvK6RC/JwhZbHNkLLYZkgZxaW9FDZDoX9+Pnv2LABg+/btqF27Nu7fv499+/YhOzsbd+/exalTp2BoaPh5aT9g9OjRuHz5MmbMmIHHjx9j27ZtWL16NYYNGwbg7TVZo0aNwvTp03HgwAGEhISgV69esLGxQbt27VSahag0al/ZDmt6V4W2ugxnH73Ct2uu4E1q1qcfSERERFTGfbKQSk5OxuDBgzFnzhwAwIwZM7BgwQIcPHgQGhoaWLRoER48eIAuXbrAwcFBpeGqVauGffv24a+//oKPjw+mTZuGhQsXokePHvJlxo0bhx9++AGDBg1CtWrVkJKSgqNHj0JLS0ulWYhKq4YeFtg6sAaMdNRxKyIBnVddQmRCutixiIiIiIq1TxZSCxYswIsXL3Do0CEAwJMnT/DNN98AeNsZRGpqKiQSCUaPHo3Vq1erPGCrVq0QEhKCjIwM3L9/X971eT6JRIKpU6ciOjoaGRkZOHHiBMqVK6fyHESlWRUHY+z+vhasDbXwODYFHVdcRGhMstixiIiIiIqtTxZSgwYNgpaWFvr16wcAMDY2RnLy2y9Ytra28i7QExISkJaWVoRRiagouVnoY8+Q2nA110VUYgY6rbyE6+HxYsciIiIiKpY+WUhZWVlhz549aNmyJQCgXr16CAwMBAB07twZI0eOxMCBA9G9e3c0bty4aNMSUZGyMdLG7u9ro7KDERLTs9Fj7RUcvfPhMdmIiIiIyqpCdzbRqVMnAMDSpUvRrVs3AMAvv/yCMWPGICYmBh07dsS6deuKJiURfTXGuhrYNqAmArwskZmThyFbg7DpUrjYsYiIiIiKFaX7OTYxMZH/LZVKMX78eJUGIiLxaWvIsPK7Kpj49138dfU5Jv19F1GJGRjXzAMSCUfuJSIiIlJ69E2ZTIbY2NgC01+/fg2ZTKaSUEQkPjWZFDPa+2Bsk7edt6w48wRjdwYjKydP5GRERERE4lO6kBIE4b3TMzMzoaGh8cWBiKj4kEgk+KGxO+Z08oVMKsHemy/R/89rSMnMETsaERERkagKfWrf4sWLAbz9YrV27Vro6enJ5+Xm5uLcuXPw9PRUfUIiEl2XqvYw19fE0C038G9oHLqsvIQNfavB0oDjtREREVHZVOhCasGCBQDeHpFauXKlwml8GhoacHJywsqVK1WfkIiKhYYeFtgxuCb6bbyGe1FJaLfsAjb0rQZPKwOxoxERERF9dYUupMLCwgAADRs2xN69e2FsbFxkoYioePK1M8LeIf7os/Eqnr5KRecVl7DiOz/UcTcTOxoRERHRV6X0NVKnT59WKKJyc3Nx69YtvHnzRqXBiKh4cjDVwd4htVHd2QTJmTnos+Eqdl6PEDsWERER0VeldCE1atQo+XhRubm5qFevHqpUqQJ7e3ucOXNG1fmIqBgy0tHA5v7V0aaiDXLyBIzbfRvzjz/8YGc0RERERKWN0oXUrl27ULFiRQDAwYMHER4ejgcPHmD06NH45ZdfVB6QiIonTTUZFnathGENXQEAi089xhh2j05ERERlhNKF1OvXr2FlZQUAOHz4MDp37oxy5cqhX79+CAkJUXlAIiq+pFIJfmrmiVkdKkAmlWDfzZfotf4KEtKyxI5GREREVKSULqQsLS1x79495Obm4ujRo2jSpAkAIC0tjQPyEpVR3ao7YH2fatDVkOHy03h0WH4R4XGpYsciIiIiKjJKF1J9+/ZFly5d4OPjA4lEgoCAAADAlStXOI4UURlWv5w5dg+pDRtDLTyNS0W75Rdw5elrsWMRERERFQmlC6nffvsNa9euxaBBg3DhwgVoamoCAGQyGcaPH6/ygERUcnhZG2D/cH9UtDNEQlo2vlt3BXuCXogdi4iIiEjlCj2O1Ls6depUYFrv3r2/OAwRlXwW+lrYPqgWxu66hcMh0Ri7KxhhcakY06QcpFKJ2PGIiIiIVELpI1IAcPLkSbRq1Qqurq5wdXVFq1atcOLECVVnI6ISSltDhqXdq2Bog7c9+i09/Rg/bL+JjOxckZMRERERqYbShdTy5cvRvHlz6OvrY+TIkRg5ciQMDAzQsmVLLFu2rCgyElEJJJVKMK65J/7o5At1mQSHbkeh2+rLiE3OEDsaERER0RdT+tS+GTNmYMGCBRg+fLh82ogRI+Dv748ZM2Zg2LBhKg1IRCVb56r2sDfRwfdbgnArIgFtl17Aml5V4WNrKHY0IiIios+m9BGphIQENG/evMD0pk2bIjExUSWhiKh0qeliiv1D/eFqrouoxAx0WnkRR0KixI5FRERE9NmULqTatGmDffv2FZj+999/o1WrVioJRUSlj5OZLvYO9Ue9cubIyM7DkK03sOhEKARBEDsaERERkdIKdWrf4sWL5X97e3vj999/x5kzZ1CrVi0AwOXLl3HhwgWMHTu2aFISUalgqK2O9b2rYsbhB1h/IQwLTjzCo9hkzO1UEdoaHNCbiIiISo5CFVILFixQuG9sbIx79+7h3r178mlGRkZYv349fv31V9UmJKJSRU0mxaTW3ihnqYdf99/BodtReP46DWt6VYWVoZbY8YiIiIgKpVCFVFhYWFHnIKIyplt1BziZ6WLIliCEvExEm6XnsbKnH6o4GIsdjYiIiOiTPmscKSIiVajpYooDw+ugnKUeYpMz0W3VZey8HiF2LCIiIqJPUrr78379+n10/vr16z87DBGVPfYmOtg71B9jdtzC8XsxGLf7Nu5FJuGXb7ygLuNvPURERFQ8KV1IvXnzRuF+dnY27ty5g4SEBDRq1EhlwYio7NDTVMPK7/yw6GQoFp0MxcaL4XgUk4xl31aBsa6G2PGIiIiIClC6kHpf1+d5eXkYMmQIXF1dVRKKiMoeqVSC0U3KwcvaAGN23sLFJ6/RZtl5rO5ZFV7WBmLHIyIiIlKgkvNmpFIpxowZU6B3PyIiZTX3scK+of5wMNFBRHw6Oiy/iMMcvJeIiIiKGZVdgPDkyRPk5OSoanVEVIZ5WOnjwHB/1HU3Q3p2LoZuvYE5Rx8gN4+D9xIREVHxoPSpfWPGjFG4LwgCoqKicOjQIfTu3VtlwYiobDPS0cCGPtUw68gDrD0fhuVnniDkZSIWd6vM66aIiIhIdEoXUjdv3lS4L5VKYW5ujnnz5n2yRz8iImWoyaT4tZU3KtgZ4uc9t/FvaBxaLz2PVT39UN7GUOx4REREVIYpXUidPn26KHIQEX1Q20q2KGepj8Gbg/A8Pg0dV1zErA6+aFfZVuxoREREVEZ98TVSZ8+exeHDhwt0i05EpEpe1gY4MNwf9cuZIyM7D6N23MKUg3eRnZsndjQiIiIqgwpdSM2ePRsTJ06U3xcEAc2bN0fDhg3RqlUreHl54e7du0USkogIeHvd1Po+1TC8oRsAYMOFcPRYewWxyRkiJyMiIqKyptCF1I4dO+Dj4yO/v3v3bpw7dw7//vsv4uLiULVqVUyZMqVIQhIR5ZNJJfixmQdW9fSDnqYarobFo9Xi87gWHi92NCIiIipDCl1IhYWFwdfXV37/8OHD6NSpE/z9/WFiYoJff/0Vly5dKpKQRET/1ay8Ff4e7g93Cz3EJmei2+rLWPvvUwgCu0gnIiKiolfoQionJweampry+5cuXULt2rXl921sbBAXF6fadEREH+Fqrof9w/zRpqINcvMETD90H8O23UBKJse0IyIioqJV6ELK1dUV586dAwA8f/4cjx49Qr169eTzX7x4AVNTU9UnJCL6CF1NNSzqVglT25aHukyCwyHRaLP0PB7FJIsdjYiIiEqxQhdSw4YNw/Dhw9G/f3+0aNECtWrVgre3t3z+qVOnULly5SIJSUT0MRKJBL1qOWHH4FqwNtTC01epaLv0Av6+9VLsaERERFRKFbqQGjhwIBYvXoz4+HjUq1cPe/bsUZgfGRnJAXmJSFRVHIzxzw91UMfNDOnZuRi5/RZ+3R+CjOxcsaMRERFRKaPUgLz9+vX7YLG0fPlylQQiIvoSpnqa+LNfdSw88QhLTj3GlsvPcSsiAcu/9YODqY7Y8YiIiKiU+OIBeYmIihuZVIKxTT2wsW81GOuo487LJHyz5F8cvRMtdjQiIiIqJVhIEVGp1cDDAodG1IWfozGSM3Lw/ZYgTDl4F1k5eWJHIyIiohKOhRQRlWo2RtrYPqgmBtdzAQBsuBCOzqsu4cWbNJGTERERUUnGQoqISj11mRQTWnphba+qMNRWR3BEAr5ZfB6B92LEjkZEREQl1GcXUo8fP8axY8eQnp4OABAEQWWhiIiKQoC3Jf75oQ4q2hkiMT0bAzddx28H7iIzh736ERERkXKULqRev36NgIAAlCtXDi1btkRUVBQAoH///hg7dqzKAxIRqZK9iQ52fV8bA+o4AwA2XgxHxxUXER6XKnIyIiIiKkmULqRGjx4NNTU1PH/+HDo6/9eVcNeuXXH06FGVhiMiKgoaalL82sob63pXlffq12rJeQ7gS0RERIWmdCF1/PhxzJ49G3Z2dgrT3d3d8ezZM5UFIyIqao29LHF4ZF1UdzJBSmYORm6/hXG7g5GWlSN2NCIiIirmlC6kUlNTFY5E5YuPj4empqZKQhERfS3WhtrYNrAGRjRyg0QC7Lz+Am2XXsCD6CSxoxEREVExpnQhVbduXWzatEl+XyKRIC8vD3PmzEHDhg1VGo6I6GtQk0kxpqkHtvavAXN9TYTGpqDN0gv482I4O9IhIiKi91JT9gFz5sxB48aNcf36dWRlZWHcuHG4e/cu4uPjceHChaLISET0VdR2M8ORkXXx065gnH74CpMP3MW/oa8wp1NFmOhqiB2PiIiIihGlj0j5+Pjg0aNHqFOnDtq2bYvU1FR06NABN2/ehKura1FkJCL6asz0NLG+TzVMbu0NDZkUJ+7HovnCczgfGid2NCIiIipGlD4iBQCGhob45ZdfVJ2FiKhYkEgk6OvvjBrOphix/SYex6ag5/orGFTPBWObeEBDjWOZExERlXWFKqRu375d6BX6+vp+dhgiouLE28YAB4fXwbRD97DtynOsOvsUl568xqJuleFspit2PCIiIhJRoQqpSpUqQSKRQBAESCQS+fT8i7DfnZabm6viiERE4tHWkGFG+wqo526Gn/eE4PaLRLRc9C8mtfZGt2r2Cp9/REREVHYU6vyUsLAwPH36FGFhYdizZw+cnZ2xfPly3Lp1C7du3cLy5cvh6uqKPXv2FHVeIiJRNPexxtFRdVHb1RTp2bmYsDcEgzYH4XVKptjRiIiISASFOiLl6Ogo/7tz585YvHgxWrZsKZ/m6+sLe3t7TJw4Ee3atVN5SCKi4sDaUBtb+tfAuvNh+OPYQwTei8HN5wn4o7MvGnpYiB2PiIiIviKlr5gOCQmBs7NzgenOzs64d++eSkIRERVXUqkEA+u5YP8wf7hb6CEuJRN9N1zD5L/vICObpzYTERGVFUoXUl5eXpg5cyaysrLk07KysjBz5kx4eXmpNBwRUXHlbWOAgz/UQZ/aTgCAPy89Q6sl53HnZaK4wYiIiOirULr785UrV6J169aws7OT99B3+/ZtSCQSHDx4UOUBiYiKKy11GX5rUx4NPS3w465gPI5NQbtlFzCysTuGNHCFmozdpBMREZVWSv8vX716dTx9+hTTp0+Hr68vfH198fvvv+Pp06eoXr16UWQkIirW6pczx7FR9dDCxwo5eQLmBT5Cx5WX8PRVitjRiIiIqIh81oC8urq6GDRokKqzEBGVWCa6Gljeowr233qJSX/fRXBEAlou/hf/a+mF72o4QiplN+lERESlCc87ISJSEYlEgvaV7XBsVD34u5kiIzsPk/6+i94briIqMV3seERERKRCLKSIiFTMxkgbm/vVwJQ25aGlLsW/oXFouuAc9t54IR/InIiIiEo2FlJEREVAKpWgd20nHBpRFxXtjZCckYMxO4MxaHMQYpMzxI5HREREX4iFFBFREXI118Oe72vhp2YeUJdJEHgvBk0XnMOB4EgenSIiIirBPquQSkhIwNq1azFhwgTEx8cDAG7cuIGXL1+qNBwRUWmgJpNiWEM3HBheB97WBkhIy8aIv25i2LYbeJ2SKXY8IiIi+gxKF1K3b99GuXLlMHv2bMydOxcJCQkAgL1792LChAmqzkdEVGp4WRvg7+H+GBXgDjWpBIdDotF0wTkcCYkSOxoREREpSelCasyYMejTpw9CQ0OhpaUln96yZUucO3dOpeGIiEobdZkUowLKYf8wf3ha6eN1ahaGbL2B4Tw6RUREVKIoXUhdu3YNgwcPLjDd1tYW0dHRKglFRFTa+dga4u/h/hjW0BUyqQT/3I5CkwXncJDXThEREZUIShdSmpqaSEpKKjD90aNHMDc3V0koIqKyQFNNhp+aeWL/0LdHp+JTs/DDXzcxeHMQYpPYsx8REVFxpnQh1aZNG0ydOhXZ2dkA3g5A+fz5c/z888/o2LGjygMSEZV2FewMcWB4HYwOKAd1mQTH78WgyYJz2BPEcaeIiIiKK6ULqXnz5iElJQUWFhZIT09H/fr14ebmBn19ffz+++9FkZGIqNTTUJNiZIA7Dv5QBxVsDZGYno2xu4LRd+M1RCakix2PiIiI/kNN2QcYGhoiMDAQ58+fx+3bt5GSkoIqVaogICCgKPIREZUpnlYG2De0Ntb8G4YFJx7hzMNXaDL/LH5u4YnvajhCKpWIHZGIiIjwGYVUvjp16qBOnTqqzEJERHg77tSQBq5o4m2J8Xtu4/qzN5j09138fSsSsztWgJuFvtgRiYiIyrxCFVKLFy8u9ApHjBjx2WGIiOj/uFnoYefgWth65RlmHXmAoGdv0HLReQxr6IYhDVyhofZZY6oTERGRChSqkFqwYIHC/VevXiEtLQ1GRkYAgISEBOjo6MDCwoKFFBGRCkmlEvSs5YTGXpb4df8dnHoQiwUnHuFQSCRmdfRFFQdjsSMSERGVSYX6OTMsLEx++/3331GpUiXcv38f8fHxiI+Px/3791GlShVMmzatqPMSEZVJNkbaWNe7KhZ3rwxTXQ08iklBxxUX8duBu0jOyBY7HhERUZmj9HkhEydOxJIlS+Dh4SGf5uHhgQULFuDXX39VaTgiIvo/EokEbSra4MSY+uhYxQ6CAGy8GI4m88/h2F0OiE5ERPQ1KV1IRUVFIScnp8D03NxcxMTEqCTUh8yaNQsSiQSjRo2ST8vIyMCwYcNgamoKPT09dOzYschzEBGJyVhXA/O6VMSW/jXgaKqD6KQMDN4chIGbrrOrdCIioq9E6UKqcePGGDx4MG7cuCGfFhQUhCFDhhRpF+jXrl3DqlWr4OvrqzB99OjROHjwIHbt2oWzZ88iMjISHTp0KLIcRETFRR13MxwbVQ/DG7pBTSpB4L0YNJl/FuvPhyE3jwP5EhERFSWlC6n169fDysoKVatWhaamJjQ1NVG9enVYWlpi7dq1RZERKSkp6NGjB9asWQNj4/+7sDoxMRHr1q3D/Pnz0ahRI/j5+WHDhg24ePEiLl++XCRZiIiKEy11GX5s5oHDI+vCz9EYqVm5mPrPPbRbdgF3XiaKHY+IiKjUUrqQMjc3x+HDh/HgwQPs2rULu3btwv3793H48GFYWFgURUYMGzYM33zzTYEjXkFBQcjOzlaY7unpCQcHB1y6dKlIshARFUflLPWxa3AtzGhfAfpaagh5mYg2S8/jtwN3kcTOKIiIiFTuswfkLVeuHMqVK6fKLO+1fft23LhxA9euXSswLzo6GhoaGvJu2PNZWloiOvrDF15nZmYiMzNTfj8pKQkAkJ2djexscb9w5G9f7BxUcrDN0Ls6V7FGA3cTzDjyEP+ERGPjxXAcuh2J/7XwwDcVrCCRSNhmSGlsM6QsthlSRnFrL4XN8VmF1IsXL3DgwAE8f/4cWVlZCvPmz5//Oat8r4iICIwcORKBgYHQ0tJS2XpnzpyJKVOmFJh+/Phx6OjoqGw7XyIwMFDsCFTCsM3Qu5roAQ5eEuwOkyI2JQujd4VgxfFgdHbOg4X222XYZkhZbDOkLLYZUkZxaS9paWmFWk4iCIJSVySfPHkSbdq0gYuLCx48eAAfHx+Eh4dDEARUqVIFp06d+qzA77N//360b98eMplMPi03NxcSiQRSqRTHjh1DQEAA3rx5o3BUytHREaNGjcLo0aPfu973HZGyt7dHXFwcDAwMVJb/c2RnZyMwMBBNmjSBurq6qFmoZGCboY/JzMnDmn/DsOJcGLJy8qAuk2BAbQe4ZD7BN83ZZqhw+DlDymKbIWUUt/aSlJQEMzMzJCYmfrQ2UPqI1IQJE/Djjz9iypQp0NfXx549e2BhYYEePXqgefPmXxT6vxo3boyQkBCFaX379oWnpyd+/vln2NvbQ11dHSdPnkTHjh0BAA8fPsTz589Rq1atD643v5OM/1JXVy8Wbx5QvLJQycA2Q++jrg6MbuqJDn72mPT3XZx99Aor/n0GU00ZDMoloJmPjdgRqQTh5wwpi22GlFFc2kthMyhdSN2/fx9//fXX2werqSE9PR16enqYOnUq2rZtiyFDhii7yg/S19eHj4+PwjRdXV2YmprKp/fv3x9jxoyBiYkJDAwM8MMPP6BWrVqoWbOmynIQEZV0jqa62Ni3Go7eicZvB+8iJikTg7fcRGPPl5jcujwcTIvHac1EREQlhdK99unq6sqvi7K2tsaTJ0/k8+Li4lSXrJAWLFiAVq1aoWPHjqhXrx6srKywd+/er56DiKi4k0gkaFHBGsdG+KOxTR7UpBKcfBCLgAVnsSDwETKyc8WOSEREVGIofUSqZs2aOH/+PLy8vNCyZUuMHTsWISEh2Lt371c5CnTmzBmF+1paWli2bBmWLVtW5NsmIioNdDXV0MYxDz91qovphx/i/OM4LDoZir03X2Byq/II8LYUOyIREVGxp3QhNX/+fKSkpAAApkyZgpSUFOzYsQPu7u4q7bGPiIiKlqu5Ljb3r47DIdGYfugeIuLTMWDTdTT0MMfEVt5wMdcTOyIREVGxpXQh5eLiIv9bV1cXK1euVGkgIiL6eiQSCb7xtUYDD3MsPf0Ya/99itMPX+H843PoV8cZPzRyh57mZw85SEREVGopfY0UERGVPrqaavi5uSeOjaqHBh7myM4VsOrsUzScewZ7gl4gL0+pkTKIiIhKvUL9zGhsbAyJRFKoFcbHx39RICIiEo+LuR429q2OUw9iMPXgPYS/TsPYXcHYfPkZprQpj4r2RmJHJCIiKhYKVUgtXLhQ/vfr168xffp0NGvWTD5W06VLl3Ds2DFMnDixSEISEdHX1cjTEv5uZthwIRxLTobiVkQC2i67gM5+dvipmQcsDLTEjkhERCSqQhVSvXv3lv/dsWNHTJ06FcOHD5dPGzFiBJYuXYoTJ05g9OjRqk9JRERfnaaaDN/Xd0X7yraYfeQB9t58iV1BL3A4JApDG7qhfx1naKnLxI5JREQkCqWvkTp27BiaN29eYHrz5s1x4sQJlYQiIqLiw9JAC/O7VsLeobVRyd4IqVm5+OPYQwTMP4vDIVEQBF4/RUREZY/ShZSpqSn+/vvvAtP//vtvmJqaqiQUEREVP1UcjLF3SG0s7FoJVgZaePEmHUO33kDX1Zdx52Wi2PGIiIi+KqX7tJ0yZQoGDBiAM2fOoEaNGgCAK1eu4OjRo1izZo3KAxIRUfEhlUrQrrItmpa3xKqzT7Hq3BNcDYtH66Xn0amKHX5s5gFLXj9FRERlgNJHpPr06YMLFy7AwMAAe/fuxd69e2FgYIDz58+jT58+RRCRiIiKGx0NNYxuUg6nxjZA20o2EARgV9ALNPjjDBYEPkJaVo7YEYmIiIrUZ42yWKNGDWzdulXVWYiIqISxMdLGom6V0bu2E6b/cw83nidg0clQ/HX1OX5s6oGOfnaQSQs3fAYREVFJUqgjUklJSQp/f+xGRERlTxUHY+wZUhvLvq0CexNtxCZnYtye2/hm8b84HxondjwiIiKVK/SAvFFRUbCwsICRkdF7B+cVBAESiQS5ubkqD0lERMWfRCLBN77WCPC2wKaLz7D4VCgeRCfju3VX0NDDHD+38ISnlYHYMYmIiFSiUIXUqVOnYGJiAgA4ffp0kQYiIqKSTVNNhoH1XNDJzw6LToZiy+VnOP3wFc48eoVOVewwpmk5WBtqix2TiIjoixSqkKpfv778b2dnZ9jb2xc4KiUIAiIiIlSbjoiISixjXQ381qY8etd2wh/HHuBwSDR2Bb3AgeBI9KvjjCENXGGgpS52TCIios+idK99zs7OePXqVYHp8fHxcHZ2VkkoIiIqPZzNdLG8hx/2Dq2N6k4myMzJw4ozT1B/zmmsPx+GzByeEk5ERCWP0oVU/rVQ/5WSkgItLY4dQkRE71fFwRg7BtfEml5V4Wahhzdp2Zj6zz00nncW+26+QF6eIHZEIiKiQit09+djxowB8PZi4okTJ0JHR0c+Lzc3F1euXEGlSpVUHpCIiEoPiUSCJt6WaOhhjl1BLzA/8BFevEnH6B3BWHX2KcY190BDD4v3/mBHRERUnBS6kLp58yaAt0ekQkJCoKGhIZ+noaGBihUr4scff1R9QiIiKnXUZFJ0r+6AtpVssOFCOFaefYIH0cnot/E6qjkZ4+fmnqjqZCJ2TCIiog8qdCGV31tf3759sWjRIhgYsAtbIiL6MjoaahjW0A09ajhgxdkn2HghHNfC36DTyksI8LLAj8082GU6EREVS0pfI7VhwwYWUUREpFJGOhqY0MILZ35qgO7V7SGTSnDifixaLPoXo7bfRHhcqtgRiYiIFBT6iFS+1NRUzJo1CydPnkRsbCzy8vIU5j99+lRl4YiIqGyxNtTGzA6+6F/HBfMDH+JwSDT234rEwdtR6FLVDj80coeNEcegIiIi8SldSA0YMABnz55Fz549YW1tzQuCiYhI5dws9LC8hx/uvEzE3OMPcebhK/x1NQJ7brzEdzUcMbShK8z0NMWOSUREZZjShdSRI0dw6NAh+Pv7F0UeIiIiOR9bQ2zsWx3XwuPxx7GHuBoWj/UXwrD92nP09XfCwLouMNLR+PSKiIiIVEzpa6SMjY1hYsKelIiI6Oup5mSCHYNqYlO/6vC1M0RaVi6WnX6CurNPY0HgIySmZ4sdkYiIyhilC6lp06Zh0qRJSEtLK4o8RERE7yWRSFCvnDn+HuaPVT394Gmlj+TMHCw6GYq6s09hyclQJGewoCIioq9D6VP75s2bhydPnsDS0hJOTk5QV1dXmH/jxg2VhSMiIvoviUSCZuWt0MTLEkfvRmNB4COExqZgXuAjrLsQhsH1XNGrliN0NZX+L46IiKjQlP5fpl27dkUQg4iISDlSqQQtK1ijWXkr/HM7EotOhOJpXCpmH32ANf8+xaB6LuhZkwUVEREVDaX/d5k8eXJR5CAiIvosMqkEbSvZ4psK1jgQHIlFJ0Px7HUaZh15gNXnnmJgXRceoSIiIpVT+hopIiKi4khNJkWHKnY4OaY+5nauCEdTHcSnZmH20QeoM/sUlp1+jJTMHLFjEhFRKaF0IZWbm4u5c+eievXqsLKygomJicKNiIhITGoyKTr5vS2o5nWuCGczXbxJy8Yfxx7KCyp2SkFERF9K6UJqypQpmD9/Prp27YrExESMGTMGHTp0gFQqxW+//VYEEYmIiJSnJpOio58dAkfXw4KuFeFipouE/19Q+c86hfmBj5CQliV2TCIiKqGULqS2bt2KNWvWYOzYsVBTU0P37t2xdu1aTJo0CZcvXy6KjERERJ9NTSZF+8p2CBxTH4u6VYK7hR6SMnKw+GQo/Gedwswj9xGXkil2TCIiKmGULqSio6NRoUIFAICenh4SExMBAK1atcKhQ4dUm46IiEhF8julODaqHlb0qAJvawOkZuVi1dmnqDP7FKYcvIvoxAyxYxIRUQmhdCFlZ2eHqKgoAICrqyuOHz8OALh27Ro0NTVVm46IiEjFpFIJWlSwxqERdbCud1VUsjdCRnYeNlwIR705pzFh722Ex6WKHZOIiIo5pQup9u3b4+TJkwCAH374ARMnToS7uzt69eqFfv36qTwgERFRUZBIJGjsZYl9Q2tjS/8aqO5sgqzcPPx1NQKN5p3BD3/dxL3IJLFjEhFRMaX0oBqzZs2S/921a1c4ODjg0qVLcHd3R+vWrVUajoiIqKhJJBLUcTdDHXczXA+Px/IzT3DqQSwOBkfiYHAkGnlaYGgDV1R1Ys+0RET0f754dMJatWqhVq1aqshCREQkqqpOJljfxwT3IpOw4uwTHLodiVMPYnHqQSyqO5ng+wYuaOhhAYlEInZUIiISmdKF1KZNmz46v1evXp8dhoiIqDjwtjHAku6VMbZJOaw69wS7g17gang8rm6Mh4elPgbVc0GbSjZQl3FceyKiskrpQmrkyJEK97Ozs5GWlgYNDQ3o6OiwkCIiolLDyUwXMzv4YmTjclh/IQzbrjzHw5hkjN0VjHnHH6J/XRd0q2YPXc0vPsGDiIhKGKV/Snvz5o3CLSUlBQ8fPkSdOnXw119/FUVGIiIiUVkZauF/Lb1wYXwjjGvuATM9TUQmZmDaP/dQe9YpzD32EK+SORYVEVFZopJzEtzd3TFr1qwCR6uIiIhKE0NtdQxt4IbzPzfEzA4V4Gymi8T0bCw9/Rj+s09h/J7beBybLHZMIiL6ClR2creamhoiIyNVtToiIqJiS0tdhu7VHXBiTH2s6FEFleyNkJWTh+3XIhAw/xz6b7yGy09fQxAEsaMSEVERUfqk7gMHDijcFwQBUVFRWLp0Kfz9/VUWjIiIqLiT/f/BfZv7WCHo2RusPvcUgfdjcPJBLE4+iIWvnSEG1HVBSx8rqLFjCiKiUkXpQqpdu3YK9yUSCczNzdGoUSPMmzdPVbmIiIhKDIlEgqpOJqjqZIKnr1Kw7nwYdge9wO0XiRjx103MMtRCH38ndK3mAENtdbHjEhGRCihdSOXl5RVFDiIiolLBxVwPv7evgDFNymHz5WfYfOkZIhMzMOPwAyw8EYouVe3R198Jjqa6YkclIqIv8NnnGcTFxSEpKUmVWYiIiEoNUz1NjAoohwvjG2FOR194WOojLSsXGy+Go8HcMxi06Tqu8DoqIqISS6lCKiEhAcOGDYOZmRksLS1hbGwMKysrTJgwAWlpaUWVkYiIqMTSUpehSzV7HB1VF1v610ADD3MIAnD8Xgy6rr6MVkvOY9f1CGRk54odlYiIlFDoU/vi4+NRq1YtvHz5Ej169ICXlxcA4N69e1iyZAkCAwNx/vx53L59G5cvX8aIESOKLDQREVFJI5FIUMfdDHXczfA4NhnrL4Rj740XuBuZhJ9238asIw/wbQ0HfFfTEZYGWmLHJSKiTyh0ITV16lRoaGjgyZMnsLS0LDCvadOm6NmzJ44fP47FixerPCgREVFp4WahjxntK2BcMw9svxaBTRfDEZmYgSWnHmPFmSdoWcEaffydUMXBWOyoRET0AYUupPbv349Vq1YVKKIAwMrKCnPmzEHLli0xefJk9O7dW6UhiYiISiMjHQ18X98VA+o4I/BeDDZcCMfV8HgcCI7EgeBI+NoZolctJ7TytYaWukzsuERE9I5CXyMVFRWF8uXLf3C+j48PpFIpJk+erJJgREREZYWaTIoWFayx8/ta+OeHOujkZwcNNSluv0jEj7uCUXvWKcw++gAv3vB6ZCKi4qLQhZSZmRnCw8M/OD8sLAwWFhaqyERERFRm+dgaYm7nirg0vhHGNfeAjaEW4lOzsOLME9SbcxqDNl3Hhcdx7O2PiEhkhS6kmjVrhl9++QVZWVkF5mVmZmLixIlo3ry5SsMRERGVVaZ6mhjawA3nxjXEqp5+qO1qirz/39tfj7VX0Hj+Waw/H4bE9GyxoxIRlUlKdTZRtWpVuLu7Y9iwYfD09IQgCLh//z6WL1+OzMxMbNq0qSizEhERlTlqMimalbdCs/JWCI1JxqZLz7D3xgs8fZWKqf/cw5xjD9C2oi161nKEj62h2HGJiMqMQhdSdnZ2uHTpEoYOHYoJEybITymQSCRo0qQJli5dCgcHhyILSkREVNa5W+pjWjsfjGvugf03X2LL5ed4GJOMHdcjsON6BCraG6FnTUd2TkFE9BUUupACAGdnZxw5cgRv3rxBaGgoAMDNzQ0mJiZFEo6IiIgK0tdSR89aTviupiOuhb/BlsvPcOROFIIjEhAckYBp/9xDhyq26FHDAW4W+mLHJSIqlZQqpPIZGxujevXqqs5CRERESpBIJKjubILqziZ4leyNndcjsO3Kc7xMSMeGC+HYcCEc1Z1M0KOmA5r7WEFTjUepiIhU5bMKKSIiIipezPU1MayhG76v74pzoa+w7cpznLwfg6vh8bgaHg9jHXV08rNDt+oOcDXXEzsuEVGJx0KKiIioFJFJJWjoYYGGHhaITszAjmsR2H7tOaISM7Dm3zCs+TcM1Z1M0K26PVpW4LVURESfi4UUERFRKWVlqIWRAe4Y1tAVZx6+wl9Xn+P0w1j5UarJB+6ifWVbdKvmAG8bA7HjEhGVKCykiIiISjk1mRQB3pYI8LZEVGI6dl9/ge3XIvAyIR2bLj3DpkvPUNHOEF2q2aN1RRsYaKmLHZmIqNhjIUVERFSGWBtq44fG7hjW0A3nH8dh+7XnCLwXg+AXiQh+kYhp/9xDSx9rdKlmjxrOJpBIJGJHJiIqllhIERERlUFSqQT1ypmjXjlzxKVkYt+Nl9hxPQKPY1Ow9+ZL7L35Eo6mOuhS1R5tfC3FjktEVOywkCIiIirjzPQ0MbCeCwbUdcbNiATsvBaBg8GRePY6DX8ce4h5xx/Cw1AK2EejWQUbdlBBRAQWUkRERPT/SSQSVHEwRhUHY0xq7Y1Dt6Ow6/oLXA2Px/0EKUbuvA3Dg/fRpqINOvnZwdfOkKf+EVGZxUKKiIiICtDRUEPnqvboXNUeodEJ+GPXv7idrI3opExsvvwMmy8/g7uFHjr52aF9ZVtYGGiJHZmI6KtiIUVEREQf5WSqi28c8rC4eT1cf56EXUEROHonGqGxKZh55AFmH32AOu7m6FjFFk29raCtwVP/iKj0YyFFREREhSKTSlDH3Qx13M2QlJGNQ7ejsDvoBYKevcG5R69w7tEr6GrI0LKCNTpUsUMNZxNIpTz1j4hKJxZSREREpDQDLXV0r+6A7tUdEB6Xin03X2LvzReIiE/HrqAX2BX0ArZG2mhbyQbtK9vC3VJf7MhERCrFQoqIiIi+iJOZLkY3KYdRAe64/uwN9gS9wKHbUXiZkI7lZ55g+ZknKG9jgPaVbdGmog2vpyKiUoGFFBEREamERCJBNScTVHMywW9tyiPwXgz+vvUSZx6+wt3IJNyNTMKMw/fh72aGtpVs0dzHCnqa/CpCRCUTP72IiIhI5bTUZWhd0QatK9ogPjULh0KisP/mSwQ9e4N/Q+Pwb2gcftkXggAvS7SuaIMGHuYcn4qIShQWUkRERFSkTHQ10LOmI3rWdMSz16n4+1Yk9t96iaevUnEoJAqHQqKgr6WGFj5WaFPRFrVcTSFjJxVEVMyxkCIiIqKvxtFUFyMau+OHRm64G5mEA8GROHArEtFJGdh5/QV2Xn8Bc31NfFPBGq0r2qCKgxEH/SWiYomFFBEREX11EokEPraG8LE1xPjmnrgaHo8DwZE4HBKFV8mZ2HgxHBsvhsPWSButfN8WVeVtDFhUEVGxwUKKiIiIRCWVSlDTxRQ1XUzxW+vy+Df0Ff65HYXjd6PxMiEdq849xapzT+FkqoPWFW3QytcG5Sz1WFQRkahYSBEREVGxoaEmRWMvSzT2skRGdi7OPIzFweAonHwQg/DXaVhy6jGWnHoMV3NdfONrg1a+1ijHMaqISAQspIiIiKhY0lKXobmPNZr7WCM1Mwcn7sfgYHAUzj16hSevUrH4ZCgWnwyFm4UeWlawZlFFRF8VCykiIiIq9nQ11dC2ki3aVrJFUkY2Tt6PwaHbUTj3KA6PY1MUiyofKzT3sYaXtT5P/yOiIsNCioiIiEoUAy11tK9sh/aV7ZCUkY0T994WVf+G/v+i6tRjLD71GE6mOmhRwRotfKxQwdaQRRURqRQLKSIiIiqxDLTU0aGKHTpUsUNiejZOPYjBkZBonHn0CuGv07DizBOsOPMEtkbaaOFjheY+VqjiYAwpx6kioi8kFTvAx8ycORPVqlWDvr4+LCws0K5dOzx8+FBhmYyMDAwbNgympqbQ09NDx44dERMTI1JiIiIiEouh9tsjVat7VcWNiU2wpHtlfFPBGtrqMrxMSMfa82HotPISasw8if/tC8G5R6+QlZMndmwiKqGK9RGps2fPYtiwYahWrRpycnLwv//9D02bNsW9e/egq6sLABg9ejQOHTqEXbt2wdDQEMOHD0eHDh1w4cIFkdMTERGRWPQ01dC6og1aV7RBelYuzj56hWN3o3HifgxeJWdi25Xn2HblOQy01NDYyxLNyluiXjlz6GgU669GRFSMFOtPi6NHjyrc37hxIywsLBAUFIR69eohMTER69atw7Zt29CoUSMAwIYNG+Dl5YXLly+jZs2aYsQmIiKiYkRbQ4bm//+0vqycPFx6+hrH7kbj+N1oxKVkYd/Nl9h38yU01aSo626Gpt5WaOxlAVM9TbGjE1ExVqwLqf9KTEwEAJiYmAAAgoKCkJ2djYCAAPkynp6ecHBwwKVLl1hIERERkQINNSnqlzNH/XLmmNbWBzeev8HRO9E4fi8aEfHpOHE/Fifux0IqAao6mqBpeUs08baEo6mu2NGJqJgpMYVUXl4eRo0aBX9/f/j4+AAAoqOjoaGhASMjI4VlLS0tER0d/cF1ZWZmIjMzU34/KSkJAJCdnY3s7GzVh1dC/vbFzkElB9sMKYtthpRVmttMJVt9VLLVx89N3fAwJuVtIfUgFncjk3E1PB5Xw+Mx/dB9uJnrorGnBRp7mqOineH/a+/Og5uu8/+BP5M0bZrm6pn0hJ6Uo5RKAQvI8ZO1sPwcFMfdZSviLoq6BUV2RN2vgugoirPuqIu4684XnV0E8bfgwa5HLVDu0oujtLTQFloKTY80TXofef/+KH4kItjIkZQ+HzMZmvfnnU9fn/Y1Q5/zzucdblbxE27lnqHrz9P6ZaB1DJoglZmZieLiYuzbt++az7V27VqsWbPmsvFvvvkGarX6ms9/PWRlZbm7BBpk2DPkKvYMuWoo9EwMgCXDAIsJKLbIcLxZhtM2GU43tOF0QxX+trcKGqXAaINAUoBAgl7AR+Huqj3XUOgZun48pV/a29sHNG9QBKmlS5dix44d2LNnDyIiIqRxk8mE7u5uWK1Wp1Ups9kMk8l0xfM999xzWLFihfTcZrMhMjISd911F3Q63Q25hoHq6elBVlYWfvGLX0CpVLq1Fhoc2DPkKvYMuWqo94ytowd7TjUi+2QDck41wt7Zi9wGGXIbAB8vOW6PCcDMEcGYmRCEMIOvu8v1CEO9Z8g1ntYv371b7ad4dJASQmDZsmXYvn07du/ejejoaKfj48ePh1KpRHZ2Nu677z4AQFlZGaqrq5GWlnbF8/r4+MDH5/IbSJVKpUf88gDPqoUGB/YMuYo9Q64aqj0TqFTi3vFRuHd8FHr6HMirsiCr1IysEjPONXcgp7wROeWNeBHAyFAd7kwMwf8ZGYLkCAMUQ/wtgEO1Z+jn8ZR+GWgNHh2kMjMz8dFHH+Gzzz6DVquV7nvS6/Xw9fWFXq/H4sWLsWLFCgQEBECn02HZsmVIS0vjRhNERER03SkVckyOC8LkuCCs+r+jcKq+Fdml9dh50oyCs80ovWBD6QUb/rrrNAL9vDE9IRgzE0MwLT4YerX7/0AkouvHo4PUhg0bAAAzZsxwGt+4cSMeeughAMBf/vIXyOVy3Hfffejq6kJ6ejrefffdm1wpERERDTUymQwJRi0SjFo8PiMWzW3d2F1ej+zSeuSUN6CprRvbimqxragWCrkMt0UZMDMxBDNHhCDRpIVMNrRXq4gGO48OUkKIn5yjUqmwfv16rF+//iZURERERPTj/P28cW9KBO5NiUBPnwMFZ5ux62Q9dpXVo9zcirwzzcg704x1X5UhVK/C9IRgzBgRjMlxQdCpuFpFNNh4dJAiIiIiGoyUCjlujwnE7TGBeO6XI3GuuR27yhqw+2Q99lc04kJLJ7bk1WBLXg285DLcNswfM0b0f77VqFAdV6uIBgEGKSIiIqIbLMJfjYW3D8PC24ehs6cPuVUW7C6rR05ZAyob23C4yoLDVRas+6oMwVof3BEfhOkJwZgaF4RAzeUbZBGR+zFIEREREd1EKqUC0xP6V59wN1Dd1I6c8nrsLmvAgYomNNi7sK2wFtsKayGTAUnhekyLD8a0hGCkRBmgVMjdfQlEBAYpIiIiIreKClRjYdpwLEwbjs6ePhScbcae8gbklDfgZJ0dx8614Ni5Fvx112lofLxwe0wgpiUEYWpcEKKD/Pg2QCI3YZAiIiIi8hAqpQJT4oIwJS4Iz/1yJMy2Tuwpb8CeU43Yd6oBze09+LbUjG9LzQCAcIMv7ogPwh3xwZgSFwiD2tvNV0A0dDBIEREREXkoo06F+1MjcX9qJPocAifOt2DvqUbsO9WI/LMW1Fo7pE0rZDJgTJgeU+L6V6tSh/tDpVS4+xKIblkMUkRERESDgEIuw9gIA8ZGGJA5Mw7t3b3IrbJgb3kj9p1uQLm5FcdrW3C8tgXv5VTA20uO1GH+0gpXUrgeCjnfBkh0vTBIEREREQ1Cam8vzBzR/wG/AGC2deJARSP2nWrC/tONqLN14kBFEw5UNOGNr8ugVfXfXzU5NhCTY4OQYNTw/iqia8AgRURERHQLMOpU0gcCCyFQ0dB2MVg14mBlE+ydvcgqMSOrpP/+qiCN98VgFYS02EAMD1QzWBG5gEGKiIiI6BYjk8kQF6JBXIgGD6YNl+6v2n+6CQcqGpF3xoLG1m7sOHYBO45dAACYdCqkxQbi9pgApMUEITLAl8GK6CoYpIiIiIhucZfeX/X4jFh09fbhaE0LDlQ04sDpJhypsaLO1ontRbXYXlQLoH9HwNtjAjEpJgC3RwcyWBH9AIMUERER0RDj46XAxOgATIwOwPJZQEd3Hwqrm3GwogmHKvuDVa21A/8uPId/F54DAITpVZgUE4hJ0QGYFMO3AhIxSBERERENcb7e339+FQC0d/ei4Gx/sMqtsuDYOSvOtzivWBl1PpgYHYiJw/0xMToQ8SEayLkrIA0hDFJERERE5ETt7YU74oNxR3wwgP5gVXjWityqJuRWWnCkxgqzrQtfHD2PL46eBwAY1EqkDgvApOgApETq0Odw5xUQ3XgMUkRERER0VWpvL0yND8LU+P4Vq86ePhRVW5F3xoLDVRYUnG2Gtb0H35aa8W1p/66A3nIF/l9DPiZEB2LC8ACkRBng58M/PenWwW4mIiIiIpeolAqkxQYiLTYQANDT50BxbYsUrA5XWWDr7MWBSgsOVFoA9G94MTpMh9RhAUgd7o/UYf4I0anceRlE14RBioiIiIiuiVIhR0qUP1Ki/LFkWiy6urrxv9u+hDoqCYU1Lcg/04xaaweOnWvBsXMt+N/9VQCAyABfpA4LwPhh/kgd7o+EEC3vs6JBg0GKiIiIiK4ruVyGMDXwy4mRWDQlBgBQa+1A/hkL8s5YkH+mGWVmO2osHaixfL+BhVblhZQof4yP8sf4Yf5IjtRDq1K681KIrohBioiIiIhuuHCDL8LHhWPeuHAAgK2zB0XVVhScsSD/bDOO1Fhh7+zFnvIG7ClvAADIZUCCUYvxw/xxW5Q/bhvmz23XyWMwSBERERHRTadTKTE9IRjTE/p3Buztc6D0gh2F1c0orG5GwdlmnGvuwMk6O07W2bEptxoA4K9W9r+NMNKAlCiuWpH7MEgRERERkdt5KeRIitAjKUKPRZOHAwDqbZ0Xg5UVBWebcby2Bc3tPdh5sh47T9YDAGQyICFEi3GRBoyLMmBcpAEJRi0UvNeKbjAGKSIiIiLySCE6FWaPCcXsMaEAgO5eB0ou2FBU3YyiaiuKappRY+lAmdmOMrMdH+fXAADU3gokhesxLsqAlEgDxkX6w6TnDoF0fTFIEREREdGg4O0l7195ijTgd1P6x+rtnThSbcWRmv7HsXMtaO3qRW6VBblVFum1IVofJF987dgIPcaGG6BX8y2B9PMxSBERERHRoBWiVeGu0SbcNdoEAOhzCFQ0tOJItRVFF8NVudmOensXskrMyCoxS6+NCfLD2Ag9kiL6w9XoMB3U3vzzmAaGnUJEREREtwyFXIYEoxYJRi1+NSESANDR3YcT51ukFauj56w429SOysY2VDa24dMj5wH07xIYH6LtX7G6GLASTVqolAp3XhJ5KAYpIiIiIrql+XorkDo8AKnDA6Sx5rZuHD1nxfFzLTh6rgXHa60w27qk+60+KTgHAPCSyxBv1CIpXIekCAOSwvUMVwSAQYqIiIiIhiB/P2/MGBGCGSNCpDGzrRPHzrXg2Dkrjp5rQXFtCyxt3Si9YEPpBRu25juHqzFhOowJ12NMuA4jQ/m2wKGGv20iIiIiIgBGnQq/GKXCL0YZAQBCCJxv6cTxi6Hq+MXHpeHqu5UruQyICdZgTJgOo8P677caHabnhha3MAYpIiIiIqIfIZPJEG7wRbjBF7PH9G9m8V24Kq5twYnaFhSft6G4tgX19i6crm/F6fpW6Z4rAAg3+EqhanSYDqPDdTDpVJDJ+DlXgx2DFBERERHRAF0artIv7hQI9H948InzNhyvbcGJ8y04cd6Gc80dqLX2P765ZLdAf7USo8J0GBXa/5bAUWE6xAZroFTI3XFJ9DMxSBERERERXaMQnQohOhVmJn5/z1VLew9OXGhByXkbSs7bcOK8DacbWtHc3oP9p5uw/3STNNdbIUe8UYORoTokmrRSyPL383bH5dAAMEgREREREd0AerUSk2ODMDk2SBrr7OnDKXMrSi4GrNILdpRcsKG1qxcnLoatS5l0KiSGaqWAlWjSISbYj6tXHoBBioiIiIjoJlEpFUiK0CMpQi+NORwCNc3tKL1glzaxOFlnR7WlHXW2TtTZOrG7rEGar1TIEBvcv3o1wqTFCJMWiSYt7726yRikiIiIiIjcSC6XYVigH4YF+kmbWgCAvbMHZXV2KVidrLOjrM6O1q5e6fmldCovJJp0SDBpMMKkwwijFiOMWu4ceIMwSBEREREReSCtSnnZBwkLIXCuuQNldXacrLOhtM6O8jo7KhvbYOvsxeEzFhw+Y3E6j1HngwSjFgkXg1W8UYN4oxYaH0aBa8GfHhERERHRICGTyRAZoEZkgBqzLn7eFQB09fahor4N5eb+lapyc//qVa21A2ZbF8y2Luw91eh0rnCDL+KNGiQYtYgP6Q9X8SEa+DFgDQh/SkREREREg5yPl6J/S/UwndO4vbMHp+pbUV5nR7m5FeXm/pBVb++Stma/9P4r4PuAFRes6f83RIO4YL5F8IcYpIiIiIiIblFalRK3Rfnjtih/p3Fre7cUrE7X9/97qr4VDVcJWMFaH8SHXAxWIRrEBvf/G6L1GZKbXDBIERERERENMQa1NyZGB2BidIDTeHNbN043fB+wvntcaOlEg70LDfYuHKhocnqN1scLMSH9K1ixIX6IDe4PWcMC1bf0Nu0MUkREREREBADw9/PGBL8ATBjuHLDsnT2oaGjDKbMdpxtaUVHfioqGNpxtaoO9qxdHa6w4WmN1eo1CLsOwADVigjWIDfZDTLAfYoI1iAnyQ4Cf96BfxWKQIiIiIiKiq9KqlBgXacC4SIPTeFdvH842tUsrVxUNrahsaENFQyvau/tQ2diGysY2fFvqfD69r7I/WAVpMCxAheYmGZKtHRgePHjuw2KQIiIiIiKin8XHSyFtrX4pIQTqbJ2oqG9DZeP3K1hVjW2otXagpaMHRdVWFFVbL75CAd/8Wqyco7vse3gqBikiIiIiIrquZDIZQvW+CNX7Ymp8kNOxju4+nGlqQ2VDGyobWlFRb0dRxXkkmjRuqvbnYZAiIiIiIqKbxtdbgZGhOowM7V996unpwX//W4M5Y0xursw1t+42GkRERERERDcIgxQREREREZGLGKSIiIiIiIhcxCBFRERERETkIgYpIiIiIiIiFzFIERERERERuYhBioiIiIiIyEUMUkRERERERC5ikCIiIiIiInIRgxQREREREZGLGKSIiIiIiIhcxCBFRERERETkIgYpIiIiIiIiFzFIERERERERuYhBioiIiIiIyEUMUkRERERERC5ikCIiIiIiInIRgxQREREREZGLvNxdgCcQQgAAbDabmysBenp60N7eDpvNBqVS6e5yaBBgz5Cr2DPkKvYMuYo9Q67wtH75LhN8lxGuhEEKgN1uBwBERka6uRIiIiIiIvIEdrsder3+isdl4qei1hDgcDhw/vx5aLVayGQyt9Zis9kQGRmJmpoa6HQ6t9ZCgwN7hlzFniFXsWfIVewZcoWn9YsQAna7HWFhYZDLr3wnFFekAMjlckRERLi7DCc6nc4jGokGD/YMuYo9Q65iz5Cr2DPkCk/ql6utRH2Hm00QERERERG5iEGKiIiIiIjIRQxSHsbHxwerV6+Gj4+Pu0uhQYI9Q65iz5Cr2DPkKvYMuWKw9gs3myAiIiIiInIRV6SIiIiIiIhcxCBFRERERETkIgYpIiIiIiIiFzFIERERERERuYhByoOsX78ew4cPh0qlwqRJk3D48GF3l0QeYu3atZgwYQK0Wi1CQkJwzz33oKyszGlOZ2cnMjMzERgYCI1Gg/vuuw9ms9lNFZOnee211yCTybB8+XJpjD1DP1RbW4sHHngAgYGB8PX1RVJSEvLz86XjQgisWrUKoaGh8PX1xaxZs3Dq1Ck3Vkzu1NfXhxdeeAHR0dHw9fVFbGwsXn75ZVy6jxl7Zmjbs2cP7r77boSFhUEmk+HTTz91Oj6Q/rBYLMjIyIBOp4PBYMDixYvR2tp6E6/iyhikPMTHH3+MFStWYPXq1SgsLERycjLS09NRX1/v7tLIA+Tk5CAzMxOHDh1CVlYWenp6cNddd6GtrU2a89RTT+GLL77AJ598gpycHJw/fx7z5893Y9XkKfLy8vC3v/0NY8eOdRpnz9ClmpubMWXKFCiVSnz55ZcoKSnBn//8Z/j7+0tz1q1bh7fffhvvvfcecnNz4efnh/T0dHR2drqxcnKX119/HRs2bMBf//pXlJaW4vXXX8e6devwzjvvSHPYM0NbW1sbkpOTsX79+h89PpD+yMjIwIkTJ5CVlYUdO3Zgz549WLJkyc26hKsT5BEmTpwoMjMzped9fX0iLCxMrF271o1Vkaeqr68XAEROTo4QQgir1SqUSqX45JNPpDmlpaUCgDh48KC7yiQPYLfbRXx8vMjKyhLTp08XTz75pBCCPUOXe+aZZ8TUqVOveNzhcAiTySTeeOMNacxqtQofHx+xefPmm1EieZi5c+eK3//+905j8+fPFxkZGUII9gw5AyC2b98uPR9If5SUlAgAIi8vT5rz5ZdfCplMJmpra29a7VfCFSkP0N3djYKCAsyaNUsak8vlmDVrFg4ePOjGyshTtbS0AAACAgIAAAUFBejp6XHqocTERERFRbGHhrjMzEzMnTvXqTcA9gxd7vPPP0dqairuv/9+hISEICUlBe+//750vKqqCnV1dU49o9frMWnSJPbMEDV58mRkZ2ejvLwcAHD06FHs27cPc+bMAcCeoasbSH8cPHgQBoMBqamp0pxZs2ZBLpcjNzf3ptf8Q17uLoCAxsZG9PX1wWg0Oo0bjUacPHnSTVWRp3I4HFi+fDmmTJmCMWPGAADq6urg7e0Ng8HgNNdoNKKurs4NVZIn2LJlCwoLC5GXl3fZMfYM/VBlZSU2bNiAFStW4E9/+hPy8vLwxBNPwNvbG4sWLZL64sf+r2LPDE3PPvssbDYbEhMToVAo0NfXh1deeQUZGRkAwJ6hqxpIf9TV1SEkJMTpuJeXFwICAjyihxikiAaZzMxMFBcXY9++fe4uhTxYTU0NnnzySWRlZUGlUrm7HBoEHA4HUlNT8eqrrwIAUlJSUFxcjPfeew+LFi1yc3XkibZu3YpNmzbho48+wujRo3HkyBEsX74cYWFh7BkaEvjWPg8QFBQEhUJx2W5ZZrMZJpPJTVWRJ1q6dCl27NiBXbt2ISIiQho3mUzo7u6G1Wp1ms8eGroKCgpQX1+P2267DV5eXvDy8kJOTg7efvtteHl5wWg0smfISWhoKEaNGuU0NnLkSFRXVwOA1Bf8v4q+8/TTT+PZZ5/Fb37zGyQlJWHhwoV46qmnsHbtWgDsGbq6gfSHyWS6bOO13t5eWCwWj+ghBikP4O3tjfHjxyM7O1saczgcyM7ORlpamhsrI08hhMDSpUuxfft27Ny5E9HR0U7Hx48fD6VS6dRDZWVlqK6uZg8NUXfeeSeOHz+OI0eOSI/U1FRkZGRIX7Nn6FJTpky57GMVysvLMWzYMABAdHQ0TCaTU8/YbDbk5uayZ4ao9vZ2yOXOf0oqFAo4HA4A7Bm6uoH0R1paGqxWKwoKCqQ5O3fuhMPhwKRJk256zZdx924X1G/Lli3Cx8dHfPDBB6KkpEQsWbJEGAwGUVdX5+7SyAM8/vjjQq/Xi927d4sLFy5Ij/b2dmnOY489JqKiosTOnTtFfn6+SEtLE2lpaW6smjzNpbv2CcGeIWeHDx8WXl5e4pVXXhGnTp0SmzZtEmq1WvzrX/+S5rz22mvCYDCIzz77TBw7dkzMmzdPREdHi46ODjdWTu6yaNEiER4eLnbs2CGqqqrEtm3bRFBQkFi5cqU0hz0ztNntdlFUVCSKiooEAPHmm2+KoqIicfbsWSHEwPpj9uzZIiUlReTm5op9+/aJ+Ph4sWDBAnddkhMGKQ/yzjvviKioKOHt7S0mTpwoDh065O6SyEMA+NHHxo0bpTkdHR3iD3/4g/D39xdqtVrce++94sKFC+4rmjzOD4MUe4Z+6IsvvhBjxowRPj4+IjExUfz97393Ou5wOMQLL7wgjEaj8PHxEXfeeacoKytzU7XkbjabTTz55JMiKipKqFQqERMTI/7nf/5HdHV1SXPYM0Pbrl27fvTvl0WLFgkhBtYfTU1NYsGCBUKj0QidTid+97vfCbvd7oaruZxMiEs+fpqIiIiIiIh+Eu+RIiIiIiIichGDFBERERERkYsYpIiIiIiIiFzEIEVEREREROQiBikiIiIiIiIXMUgRERERERG5iEGKiIiIiIjIRQxSREREV1FWVgaTyQS73e7uUiRfffUVxo0bB4fD4e5SiIiGLAYpIiK6rmQy2VUfL774ortLdMlzzz2HZcuWQavVursUyezZs6FUKrFp0yZ3l0JENGTJhBDC3UUQEdGto66uTvr6448/xqpVq1BWViaNaTQaaDQad5TmsurqasTFxaGqqgrh4eHuLsfJ+vXr8cEHHyAvL8/dpRARDUlckSIiouvKZDJJD71eD5lM5jS2ZcsWjBw5EiqVComJiXj33Xel1545cwYymQxbt27FHXfcAV9fX0yYMAHl5eXIy8tDamoqNBoN5syZg4aGBul1Dz30EO655x6sWbMGwcHB0Ol0eOyxx9Dd3S3N6erqwhNPPIGQkBCoVCpMnTr1J0PI1q1bkZyc7BSimpqasGDBAoSHh0OtViMpKQmbN292et2MGTPwxBNPYOXKlQgICIDJZLpsJa66uhrz5s2DRqOBTqfDr371K5jNZun40aNHMXPmTGi1Wuh0OowfPx75+fnS8bvvvhv5+fmoqKgY2C+GiIiuKwYpIiK6aTZt2oRVq1bhlVdeQWlpKV599VW88MIL+PDDD53mrV69Gs8//zwKCwvh5eWF3/72t1i5ciXeeust7N27F6dPn8aqVaucXpOdnY3S0lLs3r0bmzdvxrZt27BmzRrp+MqVK/Hvf/8bH374IQoLCxEXF4f09HRYLJYr1rt3716kpqY6jXV2dmL8+PH4z3/+g+LiYixZsgQLFy7E4cOHneZ9+OGH8PPzQ25uLtatW4eXXnoJWVlZAACHw4F58+bBYrEgJycHWVlZqKysxK9//Wvp9RkZGYiIiEBeXh4KCgrw7LPPQqlUSsejoqJgNBqxd+/eAf70iYjouhJEREQ3yMaNG4Ver5eex8bGio8++shpzssvvyzS0tKEEEJUVVUJAOIf//iHdHzz5s0CgMjOzpbG1q5dK0aMGCE9X7RokQgICBBtbW3S2IYNG4RGoxF9fX2itbVVKJVKsWnTJul4d3e3CAsLE+vWrbti/cnJyeKll176yeucO3eu+OMf/yg9nz59upg6darTnAkTJohnnnlGCCHEN998IxQKhaiurpaOnzhxQgAQhw8fFkIIodVqxQcffHDV75uSkiJefPHFn6yPiIiuPy835zgiIhoi2traUFFRgcWLF+ORRx6Rxnt7e6HX653mjh07VvraaDQCAJKSkpzG6uvrnV6TnJwMtVotPU9LS0NraytqamrQ0tKCnp4eTJkyRTquVCoxceJElJaWXrHmjo4OqFQqp7G+vj68+uqr2Lp1K2pra9Hd3Y2uri6n7/3DawCA0NBQqebS0lJERkYiMjJSOj5q1CgYDAaUlpZiwoQJWLFiBR5++GH885//xKxZs3D//fcjNjbW6Zy+vr5ob2+/Yv1ERHTj8K19RER0U7S2tgIA3n//fRw5ckR6FBcX49ChQ05zL30Lm0wm+9Gxm7H1d1BQEJqbm53G3njjDbz11lt45plnsGvXLhw5cgTp6elO92P9sN6fU/OLL76IEydOYO7cudi5cydGjRqF7du3O82xWCwIDg528aqIiOh6YJAiIqKbwmg0IiwsDJWVlYiLi3N6REdHX/P5jx49io6ODun5oUOHoNFoEBkZidjYWHh7e2P//v3S8Z6eHuTl5WHUqFFXPGdKSgpKSkqcxvbv34958+bhgQceQHJyMmJiYlBeXu5SrSNHjkRNTQ1qamqksZKSElitVqd6EhIS8NRTT+Gbb77B/PnzsXHjRulYZ2cnKioqkJKS4tL3JiKi64NBioiIbpo1a9Zg7dq1ePvtt1FeXo7jx49j48aNePPNN6/53N3d3Vi8eDFKSkrw3//+F6tXr8bSpUshl8vh5+eHxx9/HE8//TS++uorlJSU4JFHHkF7ezsWL158xXOmp6fj4MGD6Ovrk8bi4+ORlZWFAwcOoLS0FI8++qjTbnsDMWvWLCQlJSEjIwOFhYU4fPgwHnzwQUyfPh2pqano6OjA0qVLsXv3bpw9exb79+9HXl4eRo4cKZ3j0KFD8PHxQVpamus/LCIiuma8R4qIiG6ahx9+GGq1Gm+88Qaefvpp+Pn5ISkpCcuXL7/mc995552Ij4/HtGnT0NXVhQULFjhtOf7aa6/B4XBg4cKFsNvtSE1Nxddffw1/f/8rnnPOnDnw8vLCt99+i/T0dADA888/j8rKSqSnp0OtVmPJkiW455570NLSMuBaZTIZPvvsMyxbtgzTpk2DXC7H7Nmz8c477wAAFAoFmpqa8OCDD8JsNiMoKAjz58932oVw8+bNyMjIuOzeLCIiujn4gbxERDToPfTQQ7Barfj000+v+7nXr1+Pzz//HF9//fV1P/fP1djYiBEjRiA/P/+6vC2SiIhcxxUpIiKiq3j00UdhtVpht9uh1WrdXQ6A/g8ufvfddxmiiIjciCtSREQ06N3IFSkiIqIfwyBFRERERETkIu7aR0RERERE5CIGKSIiIiIiIhcxSBEREREREbmIQYqIiIiIiMhFDFJEREREREQuYpAiIiIiIiJyEYMUERERERGRixikiIiIiIiIXMQgRURERERE5KL/D7qMiOm++84FAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "#4. Análise dos Resultados\n", + "O gráfico acima mostra o decaimento radioativo do césio-137 em Chernobyl ao longo de 100 anos. Aqui estão algumas observações:\n", + "\n", + "A quantidade de césio-137 diminui exponencialmente com o tempo, conforme esperado para o decaimento radioativo.\n", + "Dada a constante de decaimento do césio-137, podemos ver que a substância ainda está presente após 100 anos, embora em quantidades significativamente reduzidas.\n", + "Para entender completamente a habitabilidade da área, seria necessário considerar outros isótopos e fatores, mas este modelo fornece uma visão simplificada do decaimento de um dos principais contaminantes.\n", + "Este projeto oferece uma abordagem numérica para entender um dos aspectos mais críticos do acidente de Chernobyl. É uma representação simplificada e pode ser expandida considerando mais detalhes, como outros isótopos, dispersão no ambiente, efeitos da chuva, etc." + ], + "metadata": { + "id": "0EN3NEOUM89M" + } + }, + { + "cell_type": "markdown", + "source": [ + "***#ADICIONAIS***" + ], + "metadata": { + "id": "iG9TkeH0NDcN" + } + }, + { + "cell_type": "markdown", + "source": [ + "Vamos começar adicionando o estrôncio-90 ao modelo e plotando o decaimento de ambos os isótopos ao longo do tempo. A constante de decaimento para o estrôncio-90 é de aproximadamente\n", + "0,0249 por ano." + ], + "metadata": { + "id": "1eXSij1pNJ9K" + } + }, + { + "cell_type": "markdown", + "source": [ + "### Simulação do decaimento para ambos os isótopos" + ], + "metadata": { + "id": "RXHWmgdiRQzT" + } + }, + { + "cell_type": "code", + "source": [ + "# constantes / ano\n", + "# meia vida do estroncio: 29 anos\n", + "lambda_strontium_90 = 0.023983128" + ], + "metadata": { + "id": "EpY3D2MPNOet" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "quantities_cesium = [initial_quantity]\n", + "quantities_strontium = [initial_quantity]\n", + "for i in range(total_time):\n", + " new_quantity_cesium = finite_diference_decay(quantities_cesium[-1], lambda_cesium_137, time_step)\n", + " new_quantity_strontium = finite_diference_decay(quantities_strontium[-1], lambda_strontium_90, time_step)\n", + "\n", + " quantities_cesium.append(new_quantity_cesium)\n", + " quantities_strontium.append(new_quantity_strontium)" + ], + "metadata": { + "id": "aGcGguHHNR_G" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Plotando o gráfico\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(quantities_cesium, label=\"Césio-137\")\n", + "plt.plot(quantities_strontium, label=\"Estrôncio-90\")\n", + "plt.title(\"Decaimento Radioativo de Césio-137 e Estrôncio-90 em Chernobyl\")\n", + "plt.xlabel(\"Tempo (anos)\")\n", + "plt.ylabel(\"Quantidade de Substância Radioativa\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 565 + }, + "id": "eoXSu4ttNYtD", + "outputId": "2b6f1c30-69f6-4f06-ca37-f1ee881b4664" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "O gráfico acima mostra o decaimento radioativo tanto do césio-137 quanto do estrôncio-90 em Chernobyl ao longo de 100 anos. A seguir, algumas observações:\n", + "\n", + "\n", + "\n", + "* **Césio-137**: Este isótopo decai mais rapidamente, seguindo uma curva exponencial acentuada. É um dos principais contribuintes para a radiação inicial após o acidente.\n", + "* **Estrôncio-90**: O decaimento do estrôncio-90 é mais lento, permanecendo presente em quantidades consideráveis mesmo após 100 anos. Isso pode ter implicações a longo prazo para a habitabilidade da área.\n", + "\n" + ], + "metadata": { + "id": "tWNz4sIiNeKJ" + } + }, + { + "cell_type": "markdown", + "source": [ + "#Modelando a dispersao no Ambiente" + ], + "metadata": { + "id": "PVEhrgPQNuE7" + } + }, + { + "cell_type": "markdown", + "source": [ + "Vamos criar um modelo simplificado para representar como os isótopos césio-137 e estrôncio-90 se dispersam no ambiente. Para este projeto, consideraremos uma dispersão unidimensional ao longo do vento predominante, afetando diferentes regiões próximas a Chernobyl.\n", + "\n", + "Assumiremos que a dispersão segue uma distribuição normal centrada no local do acidente e que a dispersão muda com o tempo devido ao decaimento dos isótopos e à difusão pelo vento." + ], + "metadata": { + "id": "J12dNMCVNykO" + } + }, + { + "cell_type": "markdown", + "source": [ + "Parametros da Dispersao(em ano/unidade de espasco)" + ], + "metadata": { + "id": "DXL6YTpsReSl" + } + }, + { + "cell_type": "code", + "source": [ + "dispersion_mean = 0\n", + "dispersion_std_dev_initial = 1\n", + "dispersion_spread_rate = 0.05" + ], + "metadata": { + "id": "wL2cOTCtOAyo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "### Simulação da dispersão dos isótopos no ambiente" + ], + "metadata": { + "id": "wL-bnRYpRmhl" + } + }, + { + "cell_type": "code", + "source": [ + "def simulate_dispersion(quantities, dispersion_std_dev_initial, dispersion_spread_rate, total_time):\n", + " dispersion_data = []\n", + " for i in range(total_time + 1):\n", + " std_dev = dispersion_std_dev_initial + i * dispersion_spread_rate\n", + " dispersion = quantities[i] * np.exp(-(np.arange(-10, 11)**2) / (2 * std_dev**2))\n", + " dispersion_data.append(dispersion)\n", + " return dispersion_data\n", + "\n", + "dispersion_cesium = simulate_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "dispersion_strontium = simulate_dispersion(quantities_strontium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)" + ], + "metadata": { + "id": "hKxg_hvZOOBO" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Plotando o gráfico da dispersão para diferentes momentos no tempo\n", + "time_slices = [0, 10, 50, 100]\n", + "plt.figure(figsize=(12, 6))\n", + "for time_slice in time_slices:\n", + " plt.plot(np.arange(-10, 11), dispersion_cesium[time_slice], label=f\"Césio-137 - Ano {time_slice}\")\n", + " plt.plot(np.arange(-10, 11), dispersion_strontium[time_slice], linestyle='--', label=f\"Estrôncio-90 - Ano {time_slice}\")\n", + "\n", + "plt.title(\"Dispersão dos Isótopos Radioativos em Chernobyl ao Longo do Tempo\")\n", + "plt.xlabel(\"Distância da Origem (unidades de distância)\")\n", + "plt.ylabel(\"Quantidade de Substância Radioativa\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 565 + }, + "id": "sp3ynwsiOWAo", + "outputId": "f7cbf77d-3462-4861-e30a-9317b52c3c08" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "###Melhorando a visualizacao" + ], + "metadata": { + "id": "LnG_mvHMRuWk" + } + }, + { + "cell_type": "code", + "source": [ + "def plot_dispersion(dispersion_data, isotope_name, time_slices, color_map):\n", + " plt.figure(figsize=(10, 6))\n", + " for time_slice in time_slices:\n", + " plt.plot(np.arange(-10, 11), dispersion_data[time_slice], label=f\"Ano {time_slice}\", color=color_map[time_slice])\n", + " plt.title(f\"Dispersão do {isotope_name} em Chernobyl ao Longo do Tempo\")\n", + " plt.xlabel(\"Distância da Origem (unidades de distância)\")\n", + " plt.ylabel(\"Quantidade de Substância Radioativa\")\n", + " plt.legend()\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + "# Definindo um mapeamento de cores para diferentes momentos no tempo\n", + "color_map = {\n", + " 0: 'blue',\n", + " 10: 'green',\n", + " 50: 'orange',\n", + " 100: 'red'\n", + "}" + ], + "metadata": { + "id": "tx3IdMT2Pyn8" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "\n", + "# Simulação do decaimento para ambos os isótopos\n", + "quantities_cesium = [initial_quantity]\n", + "quantities_strontium = [initial_quantity]\n", + "for i in range(total_time):\n", + " new_quantity_cesium = finite_diference_decay(quantities_cesium[-1], lambda_cesium_137, time_step)\n", + " new_quantity_strontium = finite_diference_decayy(quantities_strontium[-1], lambda_strontium_90, time_step)\n", + " quantities_cesium.append(new_quantity_cesium)\n", + " quantities_strontium.append(new_quantity_strontium)\n", + "\n", + "# Simulação da dispersão dos isótopos no ambiente novamente\n", + "dispersion_cesium = simulate_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "dispersion_strontium = simulate_dispersion(quantities_strontium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "\n", + "# Plotando o gráfico de dispersão para o césio-137\n", + "plot_dispersion(dispersion_cesium, \"Césio-137\", time_slices, color_map)\n", + "\n", + "# Plotando o gráfico de dispersão para o estrôncio-90\n", + "plot_dispersion(dispersion_strontium, \"Estrôncio-90\", time_slices, color_map)\n" + ], + "metadata": { + "id": "ud5BxdTVPsOI" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "import seaborn as sns\n", + "\n", + "dispersion_mean = 0\n", + "dispersion_std_dev_initial = 1\n", + "dispersion_spread_rate = 0.05\n", + "\n", + "def simulate_dispersion(quantities, dispersion_std_dev_initial, dispersion_spread_rate, total_time):\n", + " dispersion_data = []\n", + " for i in range(total_time + 1):\n", + " std_dev = dispersion_std_dev_initial + i * dispersion_spread_rate\n", + " dispersion = quantities[i] * np.exp(-(np.arange(-10, 11)**2) / (2 * std_dev**2))\n", + " dispersion_data.append(dispersion)\n", + " return dispersion_data\n", + "dispersion_cesium = simulate_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "dispersion_strontium = simulate_dispersion(quantities_strontium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "\n", + "sns.set_theme(style=\"whitegrid\")\n", + "\n", + "fig, axs = plt.subplots(2, 2, figsize=(16, 12))\n", + "fig.suptitle(\"Dispersão dos Isótopos Radioativos em Chernobyl ao Longo do Tempo\", fontsize=18)\n", + "time_slices = [0, 10, 50, 100]\n", + "\n", + "for idx, time_slice in enumerate(time_slices):\n", + " ax = axs[idx // 2, idx % 2]\n", + " ax.plot(np.arange(-10, 11), dispersion_cesium[time_slice], label=f\"Césio-137 - Ano {time_slice}\")\n", + " ax.plot(np.arange(-10, 11), dispersion_strontium[time_slice], linestyle='--', label=f\"Estrôncio-90 - Ano {time_slice}\")\n", + " ax.set_title(f\"Ano {time_slice}\")\n", + " ax.set_xlabel(\"Distância da Origem (unidades de distância)\")\n", + " ax.set_ylabel(\"Quantidade de Substância Radioativa\")\n", + " ax.legend()\n", + " ax.grid(True)\n", + "\n", + "plt.tight_layout(rect=[0, 0, 1, 0.96])\n", + "plt.show()\n" + ], + "metadata": { + "id": "o4GHjK0kN1Ax", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 245 + }, + "outputId": "5ff68ca9-6018-40a7-ee9c-526fc47d7f93" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "error", + "ename": "NameError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0mdispersion_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdispersion\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdispersion_data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 14\u001b[0;31m \u001b[0mdispersion_cesium\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msimulate_dispersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mquantities_cesium\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_std_dev_initial\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_spread_rate\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtotal_time\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 15\u001b[0m \u001b[0mdispersion_strontium\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msimulate_dispersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mquantities_strontium\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_std_dev_initial\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_spread_rate\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtotal_time\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 16\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'quantities_cesium' is not defined" + ] + } + ] + }, + { + "cell_type": "code", + "source": [ + "from matplotlib import cm\n", + "\n", + "def create_dispersion_matrix(dispersion_data):\n", + " # dispersion_data esta na forma[tempo][distancia]\n", + " # deve-se transpor para[distancia][tempo] para usar a função contourf\n", + " return np.array(dispersion_data).T\n", + "\n", + "dispersion_cesium_matrix = create_dispersion_matrix(dispersion_cesium)\n", + "dispersion_strontium_matrix = create_dispersion_matrix(dispersion_strontium)\n", + "\n", + "def plot_contour(dispersion_matrix, isotope_name):\n", + " plt.figure(figsize=(12, 8))\n", + " X, Y = np.meshgrid(np.arange(total_time + 1), np.arange(-10, 11))\n", + " cp = plt.contourf(X, Y, dispersion_matrix, cmap=cm.inferno, levels=50)\n", + " plt.colorbar(cp, label=\"Quantidade de Substância Radioativa\")\n", + " plt.title(f\"Gráfico de Contorno da Dispersão do {isotope_name} em Chernobyl\")\n", + " plt.xlabel(\"Tempo (anos)\")\n", + " plt.ylabel(\"Distância da Origem (unidades de distância)\")\n", + " plt.show()\n", + "\n", + "plot_contour(dispersion_cesium_matrix, \"Césio-137\")\n", + "plot_contour(dispersion_strontium_matrix, \"Estrôncio-90\")\n" + ], + "metadata": { + "id": "Brcyg8-zOS1C" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "def plot_3d_surface(dispersion_matrix, isotope_name):\n", + " fig = plt.figure(figsize=(12, 8))\n", + " ax = fig.add_subplot(111, projection='3d')\n", + " X, Y = np.meshgrid(np.arange(total_time + 1), np.arange(-10, 11))\n", + " surf = ax.plot_surface(X, Y, dispersion_matrix, cmap=cm.viridis, linewidth=0, antialiased=False)\n", + " plt.title(f\"Gráfico de Superfície 3D da Dispersão do {isotope_name} em Chernobyl\")\n", + " plt.xlabel(\"Tempo (anos)\")\n", + " plt.ylabel(\"Distância da Origem (unidades de distância)\")\n", + " fig.colorbar(surf, ax=ax, shrink=0.5, aspect=10)\n", + " plt.show()\n", + "\n", + "plot_3d_surface(dispersion_cesium_matrix, \"Césio-137\")\n", + "plot_3d_surface(dispersion_strontium_matrix, \"Estrôncio-90\")\n" + ], + "metadata": { + "id": "pSpWL-sQQHUu" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd" + ], + "metadata": { + "id": "-frjMTusQSOx" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def plot_kernel_density(dispersion_data, isotope_name):\n", + " sns.kdeplot(data=pd.DataFrame(dispersion_data), fill=True, common_norm=False, palette=\"crest\", alpha=.5, linewidth=0)\n", + " plt.title(f\"Gráfico de Densidade de Kernel da Dispersão do {isotope_name} em Chernobyl\")\n", + " plt.xlabel(\"Distância da Origem (unidades de distância)\")\n", + " plt.ylabel(\"Densidade\")\n", + " plt.show()\n", + "\n", + "plot_kernel_density(dispersion_cesium, \"Césio-137\")\n", + "plot_kernel_density(dispersion_strontium, \"Estrôncio-90\")\n" + ], + "metadata": { + "id": "V7hYSfPZQPWt" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "from IPython.display import HTML\n", + "from matplotlib.animation import FuncAnimation\n", + "\n", + "\n", + "def animate_dispersion(dispersion_matrix, isotope_name):\n", + " fig, ax = plt.subplots(figsize=(10, 6))\n", + " plt.title(f\"Dispersão do {isotope_name} em Chernobyl\")\n", + " plt.xlabel(\"Distância da Origem (unidades de distância)\")\n", + " plt.ylabel(\"Quantidade de Substância Radioativa\")\n", + "\n", + " line, = ax.plot([], [], lw=2)\n", + "\n", + " def init():\n", + " line.set_data([], [])\n", + " return line,\n", + "\n", + " def update(frame):\n", + " line.set_data(np.arange(-10, 11), dispersion_matrix[:, frame])\n", + " return line,\n", + "\n", + " ani = FuncAnimation(fig, update, frames=total_time + 1, init_func=init, blit=True)\n", + "\n", + " return HTML(ani.to_jshtml())\n", + "\n", + "animate_dispersion(dispersion_cesium_matrix, \"Césio-137\")\n" + ], + "metadata": { + "id": "MfjM5P2HRuqJ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def plot_heatmap(dispersion_matrix, isotope_name):\n", + " plt.figure(figsize=(12, 8))\n", + " sns.heatmap(dispersion_matrix, cmap=\"YlGnBu\", cbar_kws={'label': 'Quantidade de Substância Radioativa'})\n", + " plt.title(f\"Gráfico de Calor da Dispersão do {isotope_name} em Chernobyl\")\n", + " plt.xlabel(\"Tempo (anos)\")\n", + " plt.ylabel(\"Distância da Origem (unidades de distância)\")\n", + " plt.show()\n", + "\n", + "plot_heatmap(dispersion_cesium_matrix, \"Césio-137\")\n" + ], + "metadata": { + "id": "xV7BboUJR2Bg" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def simulate_2d_dispersion(quantities, dispersion_std_dev_initial, dispersion_spread_rate, total_time):\n", + " dispersion_data = []\n", + " x_range = np.linspace(-10, 10, 21)\n", + " y_range = np.linspace(-10, 10, 21)\n", + " X, Y = np.meshgrid(x_range, y_range)\n", + " for i in range(total_time + 1):\n", + " std_dev = dispersion_std_dev_initial + i * dispersion_spread_rate\n", + " dispersion = quantities[i] * np.exp(-((X**2 + Y**2) / (2 * std_dev**2)))\n", + " dispersion_data.append(dispersion)\n", + " return dispersion_data\n", + "\n", + "dispersion_cesium_2d = simulate_2d_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time)\n", + "plt.imshow(dispersion_cesium_2d[10], cmap=\"viridis\", extent=[-10, 10, -10, 10])\n", + "plt.title(\"Dispersão 2D do Césio-137 - Ano 10\")\n", + "plt.xlabel(\"Distância X da Origem\")\n", + "plt.ylabel(\"Distância Y da Origem\")\n", + "plt.colorbar(label=\"Quantidade de Substância Radioativa\")\n", + "plt.show()\n" + ], + "metadata": { + "id": "m-AIknadR-da" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# Parâmetros da simulação" + ], + "metadata": { + "id": "uh5kDU-2bpak" + } + }, + { + "cell_type": "code", + "source": [ + "\n", + "# Função para plotar a dispersão circular\n", + "def plot_circular(dispersion_data, isotope_name, time_slices, color_map):\n", + " plt.figure(figsize=(8, 8))\n", + "\n", + " for time_slice in time_slices:\n", + " data = dispersion_data[time_slice]\n", + " angles = np.linspace(0, 2 * np.pi, len(data), endpoint=False)\n", + " # plt.polar(angles, data, label=f\"Ano {time_slice}\", color=color_map[time_slice])\n", + "\n", + " center_data = np.mean(dispersion_data, axis=0)\n", + " center_angles = np.linspace(0, 2 * np.pi, len(center_data), endpoint=False)\n", + "\n", + " diagonal_values = [max(dispersion_data[time_slice]) for time_slice in time_slices]\n", + " center_diagonal = max(center_data)\n", + "\n", + " for i, diagonal in enumerate(diagonal_values):\n", + " circle_radius = diagonal / 2\n", + " angles = np.linspace(0, 2 * np.pi, 360)\n", + " radii = [circle_radius] * 360\n", + " plt.polar(angles, radii, color=color_map[time_slices[i]], linestyle='solid', alpha=1.0,\n", + " label=f\"Ano {time_slices[i]} - Diagonal\")\n", + "\n", + " center_circle_radius = center_diagonal / 2\n", + " angles = np.linspace(0, 2 * np.pi, 360)\n", + " radii = [center_circle_radius] * 360\n", + " plt.polar(angles, radii, color='gray', linestyle='solid', alpha=1.0,\n", + " label=\"Diagonal da Dispersão Centralizada\")\n", + "\n", + " plt.title(f\"Dispersão Circular do {isotope_name} em Chernobyl em Diferentes Intervalos de Tempo\")\n", + " plt.legend()\n", + " plt.grid(True)\n", + " plt.show()\n", + "\n", + "# Plotagem das dispersões para Césio-137 e Estrôncio-90\n", + "plot_circular(dispersion_cesium, \"Césio-137\", [0, 10, 50, 100], color_map)\n", + "plot_circular(dispersion_strontium, \"Estrôncio-90\", [0, 10, 50, 100], color_map)\n" + ], + "metadata": { + "id": "7JJwqA4tetQu" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "\n", + "# Função que simula a dispersão e calcula o valor da função\n", + "def simulate_dispersion(quantities, dispersion_std_dev_initial, dispersion_spread_rate, total_time, guess):\n", + " dispersion_data = []\n", + " for i in range(total_time + 1):\n", + " std_dev = dispersion_std_dev_initial + i * dispersion_spread_rate\n", + " dispersion = quantities[i] * np.exp(-(np.arange(-10, 11)**2) / (2 * std_dev**2))\n", + " dispersion_data.append(dispersion)\n", + "\n", + " # Calcula o valor da função para o chute inicial dado\n", + " value_at_guess = dispersion_data[guess]\n", + " return value_at_guess\n", + "\n", + "# Chute inicial para o método de Newton-Raphson\n", + "initial_guess = 50\n", + "\n", + "# Implementação do método de Newton-Raphson para encontrar um valor que resulte em y = 0.1\n", + "def newton_raphson_method(func, initial_guess, target_value, tolerance=1e-6, max_iterations=100):\n", + " x = initial_guess\n", + " for _ in range(max_iterations):\n", + " f_x = func(x)\n", + " if abs(f_x - target_value) < tolerance:\n", + " return x\n", + " f_prime_x = 0 # A derivada da função constante é zero\n", + " x = x - (f_x - target_value) / f_prime_x\n", + " return None # Retorna None se o valor desejado não for encontrado\n", + "\n", + "# Aplicando o método de Newton-Raphson à função simulate_dispersion para encontrar um valor que resulte em y = 0.1\n", + "target_value = 0.1\n", + "result = newton_raphson_method(lambda x: simulate_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time, x), initial_guess, target_value)\n", + "\n", + "if result is not None:\n", + " print(f\"Valor encontrado: {result}\")\n", + "else:\n", + " print(f\"Não foi possível encontrar um valor que resulte em {target_value}.\")\n", + "\n", + "# Plotando o gráfico da dispersão\n", + "dispersion_at_result = simulate_dispersion(quantities_cesium, dispersion_std_dev_initial, dispersion_spread_rate, total_time, int(result))\n", + "plt.plot(np.arange(-10, 11), dispersion_at_result)\n", + "plt.axhline(y=target_value, color='r', linestyle='--', label='y = 0.1 (alvo)')\n", + "plt.title(\"Dispersão com Valor Alvo y = 0.1\")\n", + "plt.xlabel(\"Distância da Origem (unidades de distância)\")\n", + "plt.ylabel(\"Valor de Dispersão\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + }, + "id": "aF31HbX_T1vO", + "outputId": "2544e178-1024-4fdf-df06-2e5879f26dda" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "error", + "ename": "IndexError", + "evalue": "ignored", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 33\u001b[0m \u001b[0;31m# Aplicando o método de Newton-Raphson à função simulate_dispersion para encontrar um valor que resulte em y = 0.1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 34\u001b[0m \u001b[0mtarget_value\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 35\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnewton_raphson_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0msimulate_dispersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mquantities_cesium\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_std_dev_initial\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_spread_rate\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtotal_time\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minitial_guess\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtarget_value\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 36\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 37\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36mnewton_raphson_method\u001b[0;34m(func, initial_guess, target_value, tolerance, max_iterations)\u001b[0m\n\u001b[1;32m 24\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0minitial_guess\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0m_\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_iterations\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 26\u001b[0;31m \u001b[0mf_x\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 27\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf_x\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mtarget_value\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mtolerance\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 28\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 33\u001b[0m \u001b[0;31m# Aplicando o método de Newton-Raphson à função simulate_dispersion para encontrar um valor que resulte em y = 0.1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 34\u001b[0m \u001b[0mtarget_value\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0.1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 35\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnewton_raphson_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0msimulate_dispersion\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mquantities_cesium\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_std_dev_initial\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdispersion_spread_rate\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtotal_time\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minitial_guess\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtarget_value\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 36\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 37\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36msimulate_dispersion\u001b[0;34m(quantities, dispersion_std_dev_initial, dispersion_spread_rate, total_time, guess)\u001b[0m\n\u001b[1;32m 10\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtotal_time\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mstd_dev\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdispersion_std_dev_initial\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mi\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mdispersion_spread_rate\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 12\u001b[0;31m \u001b[0mdispersion\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mquantities\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mexp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m11\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mstd_dev\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 13\u001b[0m \u001b[0mdispersion_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdispersion\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mIndexError\u001b[0m: list index out of range" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "##Análise da Dispersão no Ambiente" + ], + "metadata": { + "id": "31sIsiLPOgbV" + } + }, + { + "cell_type": "markdown", + "source": [ + "O gráfico acima mostra a dispersão dos isótopos radioativos césio-137 e estrôncio-90 em Chernobyl ao longo do tempo.\n", + "\n", + "\n", + "\n", + "* Dispersão Inicial: No início (Ano 0), a dispersão está concentrada perto da origem, representando a liberação imediata de material radioativo no acidente.\n", + "* Propagação ao Longo do Tempo: Com o passar do tempo, a dispersão se espalha, representando a difusão dos isótopos pelo vento.\n", + "* Decaimento dos Isótopos: O decaimento dos isótopos é refletido na diminuição da quantidade de substância radioativa ao longo do tempo.\n", + "* Diferença entre os Isótopos: O césio-137 decai mais rapidamente, enquanto o estrôncio-90 permanece presente em quantidades maiores ao longo do tempo.\n", + "\n" + ], + "metadata": { + "id": "-gfK1KgOOmXM" + } + } + ] +} \ No newline at end of file diff --git a/CalcNumAv2.ipynb b/CalcNumAv2.ipynb new file mode 100644 index 0000000..fe7f9df --- /dev/null +++ b/CalcNumAv2.ipynb @@ -0,0 +1,509 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "#TRABALHO" + ], + "metadata": { + "id": "d0pdEsXrYhLQ" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\\\n", + "\\begin{align*}\n", + "\\text{Segunda:} \\quad 0.2\\text{fr} &+ 0.3\\text{fj} + 0.35\\text{ar} + 0.15\\text{ov} + 0.0\\text{sa} = 400 \\\\\n", + "\\text{Terça:} \\quad 0.3\\text{fr} &+ 0.2\\text{fj} + 0.15\\text{ar} + 0.2\\text{ov} + 0.15\\text{sa} = 500 \\\\\n", + "\\text{Quarta:} \\quad 0.25\\text{fr} &+ 0.35\\text{fj} + 0.2\\text{ar} + 0.1\\text{ov} + 0.1\\text{sa} = 500 \\\\\n", + "\\text{Quinta:} \\quad 0.4\\text{fr} &+ 0.15\\text{fj} + 0.3\\text{ar} + 0.1\\text{ov} + 0.05\\text{sa} = 400 \\\\\n", + "\\text{Sexta:} \\quad 0.2\\text{fr} &+ 0.3\\text{fj} + 0.15\\text{ar} + 0.15\\text{ov} + 0.2\\text{sa} = 550 \\\\\n", + "\\end{align*}\n", + "$$\n" + ], + "metadata": { + "id": "FJvsTfWryiXe" + } + }, + { + "cell_type": "markdown", + "source": [ + "a\n", + "\n", + "\n", + "A =\n", + "\\begin{bmatrix}\n", + "0.2 & 0.3 & 0.35 & 0.15 & 0.0 \\\\\n", + "0.3 & 0.2 & 0.15 & 0.2 & 0.15 \\\\\n", + "0.25 & 0.35 & 0.2 & 0.1 & 0.1 \\\\\n", + "0.4 & 0.15 & 0.3 & 0.1 & 0.05 \\\\\n", + "0.2 & 0.3 & 0.15 & 0.15 & 0.2 \\\\\n", + "\\end{bmatrix}\n", + "\n", + "b =\n", + "\\begin{bmatrix}\n", + "400 & 500 & 500 & 400 & 550 \\\\\n", + "\\end{bmatrix}\n" + ], + "metadata": { + "id": "UpUWazFYgY09" + } + }, + { + "cell_type": "markdown", + "source": [ + "b =\n", + "\\begin{bmatrix}\n", + "400 \\\\\n", + "500 \\\\\n", + "500 \\\\\n", + "400 \\\\\n", + "550 \\\\\n", + "\\end{bmatrix}\n" + ], + "metadata": { + "id": "PG9ZpPAbgZpc" + } + }, + { + "cell_type": "markdown", + "source": [ + "LU" + ], + "metadata": { + "id": "s8mIRo4WYYw3" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "# Defina o sistema de equações como uma matriz aumentada [A | b]\n", + "A = np.array([[0.2, 0.3, 0.35, 0.15, 0.0],\n", + " [0.3, 0.2, 0.15, 0.2, 0.15],\n", + " [0.25, 0.35, 0.2, 0.1, 0.1],\n", + " [0.4, 0.15, 0.3, 0.1, 0.05],\n", + " [0.2, 0.3, 0.15, 0.15, 0.2]], dtype=float)\n", + "\n", + "b = np.array([400, 500, 500, 400, 550], dtype=float)\n", + "\n", + "# Fatoração LU\n", + "def lu_decomposition(A):\n", + " n = len(A)\n", + " L = np.eye(n)\n", + " U = A.copy()\n", + "\n", + " for pivot_row in range(n):\n", + " for row in range(pivot_row + 1, n):\n", + " factor = U[row, pivot_row] / U[pivot_row, pivot_row]\n", + " L[row, pivot_row] = factor\n", + " U[row, pivot_row:] -= factor * U[pivot_row, pivot_row:]\n", + "\n", + " return L, U\n", + "\n", + "L, U = lu_decomposition(A)\n", + "\n", + "# Resolva Ly = b usando substituição direta (forward substitution)\n", + "def forward_substitution(L, b):\n", + " n = len(L)\n", + " y = np.zeros(n)\n", + "\n", + " for i in range(n):\n", + " y[i] = b[i] - np.sum(L[i, :i] * y[:i])\n", + "\n", + " return y\n", + "\n", + "# Resolva Ux = y usando substituição reversa (back substitution)\n", + "def back_substitution(U, y):\n", + " n = len(U)\n", + " x = np.zeros(n)\n", + "\n", + " for i in range(n - 1, -1, -1):\n", + " x[i] = (y[i] - np.sum(U[i, i+1:] * x[i+1:])) / U[i, i]\n", + "\n", + " return x\n", + "\n", + "# Resolva o sistema\n", + "y = forward_substitution(L, b)\n", + "x = back_substitution(U, y)\n", + "\n", + "print(\"Solução x por Fatoração LU:\")\n", + "print(x)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "WKDZXxVnIIGN", + "outputId": "9049da07-7039-4275-ecaa-8014c28ff616" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Solução x por Fatoração LU:\n", + "[412.5 662.5 162.5 412.5 912.5]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Gaussian" + ], + "metadata": { + "id": "2qaLnEFhYXGI" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "# Defina o sistema de equações como uma matriz aumentada [A | b]\n", + "A = np.array([[0.2, 0.3, 0.35, 0.15, 0.0],\n", + " [0.3, 0.2, 0.15, 0.2, 0.15],\n", + " [0.25, 0.35, 0.2, 0.1, 0.1],\n", + " [0.4, 0.15, 0.3, 0.1, 0.05],\n", + " [0.2, 0.3, 0.15, 0.15, 0.2]], dtype=float)\n", + "\n", + "b = np.array([400, 500, 500, 400, 550], dtype=float)\n", + "\n", + "# Aplicar eliminação de Gauss para obter uma matriz triangular superior\n", + "def gaussian_elimination(A, b):\n", + " n = len(b)\n", + "\n", + " # Combinação das colunas de A e b em uma matriz aumentada\n", + " Ab = np.column_stack((A, b))\n", + "\n", + " # Eliminação\n", + " for i in range(n):\n", + " # Encontre o pivô máximo na coluna atual\n", + " pivot_row = np.argmax(np.abs(Ab[i:, i])) + i\n", + "\n", + " # Troque as linhas se necessário\n", + " Ab[[i, pivot_row]] = Ab[[pivot_row, i]]\n", + "\n", + " # Faça o pivô igual a 1\n", + " Ab[i] = Ab[i] / Ab[i, i]\n", + "\n", + " # Elimine as entradas abaixo do pivô\n", + " for j in range(i + 1, n):\n", + " Ab[j] = Ab[j] - Ab[j, i] * Ab[i]\n", + "\n", + " # Resolva o sistema triangular superior\n", + " x = np.zeros(n)\n", + " for i in range(n - 1, -1, -1):\n", + " x[i] = Ab[i, -1] - np.sum(Ab[i, i+1:n] * x[i+1:n])\n", + "\n", + " return x\n", + "\n", + "# Resolver o sistema\n", + "x = gaussian_elimination(A, b)\n", + "\n", + "print(\"Solução x por Eliminação Gaussiana:\")\n", + "print(x)" + ], + "metadata": { + "id": "K5iG4UpdI_VG", + "outputId": "ea9ddde3-d9f2-4711-c605-c0d56f8c4ab6", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Solução x por Eliminação Gaussiana:\n", + "[412.5 662.5 162.5 412.5 912.5]\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\begin{align*}\n", + "\\text{Segunda:} \\quad 0.2(412.5) &+ 0.3(662.5) + 0.35(162.5) + 0.15(412.5) + 0.0(912.5) = 400 \\\\\n", + "\\text{Terça:} \\quad 0.3(412.5) &+ 0.2(662.5) + 0.15(162.5) + 0.2(412.5) + 0.15(912.5) = 500 \\\\\n", + "\\text{Quarta:} \\quad 0.25(412.5) &+ 0.35(662.5) + 0.2(162.5) + 0.1(412.5) + 0.1(912.5) = 500 \\\\\n", + "\\text{Quinta:} \\quad 0.4(412.5) &+ 0.15(662.5) + 0.3(162.5) + 0.1(412.5) + 0.05(912.5) = 400 \\\\\n", + "\\text{Sexta:} \\quad 0.2(412.5) &+ 0.3(662.5) + 0.15(162.5) + 0.15(412.5) + 0.2(912.5) = 550 \\\\\n", + "\\end{align*}\n", + "$$\n" + ], + "metadata": { + "id": "i_yX4fhy2gZm" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\begin{align*}\n", + "\\text{Segunda:} \\quad &+ 82.5 &+ & 198.75 & + & 56.875 & + & 61.875 & + & 0 &= 400\\\\\n", + "\\text{Terça:} \\quad &+ 123.75 &+ & 132.5 & + & 24.375 & + & 82.5 & + & 136.875 &= 500\\\\\n", + "\\text{Quarta:} \\quad &+ 103.125 & + & 231.875 & + & 32.5 & + & 41.25 & + & 91.25 &= 500\\\\\n", + "\\text{Quinta:} \\quad &+ 165 & + & 99.375 & + & 48.75 & + & 41.25 & + & 45.625 &= 400\\\\\n", + "\\text{Sexta:} \\quad &+ 82.5 & + & 198.75 & + & 24.375 & + & 61.875 & + & 182.5 &= 550\\\\\n", + "\\end{align*}\n", + "$$\n" + ], + "metadata": { + "id": "O_Q0UcTi268W" + } + }, + { + "cell_type": "markdown", + "source": [ + "Checando" + ], + "metadata": { + "id": "av2YsE-KYVMg" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "# Define matrix A and vector b (as defined previously)\n", + "A = np.array([[0.2, 0.3, 0.35, 0.15, 0.0],\n", + " [0.3, 0.2, 0.15, 0.2, 0.15],\n", + " [0.25, 0.35, 0.2, 0.1, 0.1],\n", + " [0.4, 0.15, 0.3, 0.1, 0.05],\n", + " [0.2, 0.3, 0.15, 0.15, 0.2]], dtype=float)\n", + "\n", + "b = np.array([400, 500, 500, 400, 550], dtype=float)\n", + "\n", + "# Your obtained values from Jacobi (or other methods)\n", + "x = np.array([412.5, 662.5, 162.5, 412.5, 912.5])\n", + "\n", + "# Back-substitution\n", + "lhs = np.dot(A, x)\n", + "print(\"Computed LHS:\", lhs)\n", + "print(\"Difference from RHS:\", lhs - b)\n", + "\n", + "# Residual calculation\n", + "residual = np.dot(A, x) - b\n", + "print(\"Residual:\", residual)\n", + "print(\"Norm of Residual:\", np.linalg.norm(residual))" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "gcaTkx9lXc0i", + "outputId": "f4f17986-6b9a-4ec1-d746-d3064c5d52da" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Computed LHS: [400. 500. 500. 400. 550.]\n", + "Difference from RHS: [0. 0. 0. 0. 0.]\n", + "Residual: [0. 0. 0. 0. 0.]\n", + "Norm of Residual: 0.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Teste ignorar" + ], + "metadata": { + "id": "Mt4YTOwvW7e4" + } + }, + { + "cell_type": "code", + "source": [ + "##TESTE\n", + "\n", + "import numpy as np\n", + "\n", + "# Defina o sistema de equações como uma matriz aumentada [A | b]\n", + "A = np.array([[0.2, 0.3, 0.35, 0.15, 0.0],\n", + " [0.3, 0.2, 0.15, 0.2, 0.15],\n", + " [0.25, 0.35, 0.2, 0.1, 0.1],\n", + " [0.4, 0.15, 0.3, 0.1, 0.05],\n", + " [0.2, 0.3, 0.15, 0.15, 0.2]], dtype=float)\n", + "\n", + "b = np.array([300, 200, 200, 300, 200], dtype=float)\n", + "\n", + "# Aplicar eliminação de Gauss para obter uma matriz triangular superior\n", + "def gaussian_elimination(A, b):\n", + " n = len(b)\n", + "\n", + " # Combinação das colunas de A e b em uma matriz aumentada\n", + " Ab = np.column_stack((A, b))\n", + "\n", + " # Eliminação\n", + " for i in range(n):\n", + " # Encontre o pivô máximo na coluna atual\n", + " pivot_row = np.argmax(np.abs(Ab[i:, i])) + i\n", + "\n", + " # Troque as linhas se necessário\n", + " Ab[[i, pivot_row]] = Ab[[pivot_row, i]]\n", + "\n", + " # Faça o pivô igual a 1\n", + " Ab[i] = Ab[i] / Ab[i, i]\n", + "\n", + " # Elimine as entradas abaixo do pivô\n", + " for j in range(i + 1, n):\n", + " Ab[j] = Ab[j] - Ab[j, i] * Ab[i]\n", + "\n", + " # Resolva o sistema triangular superior\n", + " x = np.zeros(n)\n", + " for i in range(n - 1, -1, -1):\n", + " x[i] = Ab[i, -1] - np.sum(Ab[i, i+1:n] * x[i+1:n])\n", + "\n", + " return x\n", + "\n", + "# Resolver o sistema\n", + "x = gaussian_elimination(A, b)\n", + "\n", + "def aa():\n", + " for a in range(450, 1500, 50):\n", + " for b in range(500, 1500, 50):\n", + " for c in range(500, 1500, 50):\n", + " for d in range(400, 1500, 50):\n", + " for e in range(500, 1500, 50):\n", + " o = 0\n", + " for i in gaussian_elimination(A, np.array([a,b,c,d,e], dtype=float)):\n", + " if i <=0: o=1\n", + " if o == 0:\n", + " return [a,b,c,d,e], gaussian_elimination(A, np.array([a,b,c,d,e], dtype=float))\n", + "\n", + "print(\"Solução x:\")\n", + "#print(x)\n", + "aa()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "b_lM7R1pV3t4", + "outputId": "5f27f6cc-d75e-428d-b050-aac7b1e22bed" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Solução x:\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "([450, 500, 500, 400, 550],\n", + " array([263.88888889, 652.77777778, 319.44444444, 597.22222222,\n", + " 819.44444444]))" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import scipy\n", + "\n", + "# Definição da matriz aumentada [A | b]\n", + "A = np.array([[0.2, 0.3, 0.35, 0.15, 0.0],\n", + " [0.3, 0.2, 0.15, 0.2, 0.15],\n", + " [0.25, 0.35, 0.2, 0.1, 0.1],\n", + " [0.4, 0.15, 0.3, 0.1, 0.05],\n", + " [0.2, 0.3, 0.15, 0.15, 0.2]], dtype=float)\n", + "\n", + "b = np.array([400, 500, 500, 400, 550], dtype=float)\n", + "\n", + "# Aplicar eliminação de Gauss usando as funções do NumPy\n", + "def gaussian_elimination(A, b):\n", + " Ab = np.column_stack((A, b))\n", + " n = len(b)\n", + "\n", + " for i in range(n):\n", + " pivot_row = np.argmax(np.abs(Ab[i:, i])) + i\n", + " Ab[[i, pivot_row]] = Ab[[pivot_row, i]]\n", + " Ab[i] = Ab[i] / Ab[i, i]\n", + " for j in range(i + 1, n):\n", + " Ab[j] = Ab[j] - Ab[j, i] * Ab[i]\n", + "\n", + " x = np.zeros(n)\n", + " for i in range(n - 1, -1, -1):\n", + " x[i] = Ab[i, -1] - np.sum(Ab[i, i+1:n] * x[i+1:n])\n", + "\n", + " return x\n", + "\n", + "# Resolver o sistema usando a Eliminação Gaussiana com as funções do NumPy\n", + "x_gauss = gaussian_elimination(A, b)\n", + "\n", + "print(\"Solução x por Eliminação Gaussiana (com NumPy):\")\n", + "print(x_gauss)\n", + "\n", + "# Fatorização LU usando as funções do NumPy\n", + "P, L, U = scipy.linalg.lu(A)\n", + "y = scipy.linalg.solve_triangular(L, P @ b, lower=True)\n", + "x_lu = scipy.linalg.solve_triangular(U, y)\n", + "\n", + "print(\"\\nSolução x por Fatorização LU (com NumPy):\")\n", + "print(x_lu)\n" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "P3ZdMKZ6u3fu", + "outputId": "3b637042-bd69-403c-834c-10048f42811d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Solução x por Eliminação Gaussiana (com NumPy):\n", + "[412.5 662.5 162.5 412.5 912.5]\n", + "\n", + "Solução x por Fatorização LU (com NumPy):\n", + "[-429.16666667 -345.83333333 2154.16666667 -429.16666667 2404.16666667]\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/CalcNumAv3.ipynb b/CalcNumAv3.ipynb new file mode 100644 index 0000000..0a3ce4b --- /dev/null +++ b/CalcNumAv3.ipynb @@ -0,0 +1,4449 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "collapsed_sections": [ + "6_WEP7xeEmFp", + "JgI1tCS3Ephy", + "pPDwXzblEoBx" + ] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "metadata": { + "id": "64lSuCw10dDa" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "# DADOS" + ], + "metadata": { + "id": "ZZL6fuUKEeMS" + } + }, + { + "cell_type": "markdown", + "source": [ + "# BODY FAT" + ], + "metadata": { + "id": "uvx1azMyTZ5L" + } + }, + { + "cell_type": "code", + "source": [ + "fat_df = pd.read_csv('/content/bodyfat.csv')[['Age','Weight','Height', 'BodyFat']]\n", + "fat_df" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 423 + }, + "id": "Yl1qVFScTbFK", + "outputId": "81e5a1cd-5972-4bd1-a2b6-7a41377ae78f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Age Weight Height BodyFat\n", + "0 23 154.25 67.75 12.3\n", + "1 22 173.25 72.25 6.1\n", + "2 22 154.00 66.25 25.3\n", + "3 26 184.75 72.25 10.4\n", + "4 24 184.25 71.25 28.7\n", + ".. ... ... ... ...\n", + "247 70 134.25 67.00 11.0\n", + "248 72 201.00 69.75 33.6\n", + "249 72 186.75 66.00 29.3\n", + "250 72 190.75 70.50 26.0\n", + "251 74 207.50 70.00 31.9\n", + "\n", + "[252 rows x 4 columns]" + ], + "text/html": [ + "\n", + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "fat_df['X'] = fat_df['Weight']\n", + "fat_df['Y'] = fat_df['BodyFat']" + ], + "metadata": { + "id": "GhZaIFdAT5Xp" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "fat_df" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 676 + }, + "id": "wMzACAmxdnCb", + "outputId": "96198fd6-51f5-4ef9-fb9d-ad25d33f028e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " index Age Weight Height BodyFat X Y\n", + "0 181 40 118.50 68.00 0.0 118.50 0.0\n", + "1 171 35 125.75 65.50 0.7 125.75 0.7\n", + "2 54 42 136.25 67.50 3.9 136.25 3.9\n", + "3 210 49 140.50 68.00 7.1 140.50 7.1\n", + "4 152 27 146.00 72.25 10.1 146.00 10.1\n", + "5 238 64 155.25 69.50 12.4 155.25 12.4\n", + "6 122 40 160.25 68.75 14.7 160.25 14.7\n", + "7 129 42 165.25 69.75 14.9 165.25 14.9\n", + "8 229 56 167.75 68.50 17.0 167.75 17.0\n", + "9 141 40 173.25 69.50 18.3 173.25 18.3\n", + "10 172 35 177.25 71.00 20.5 177.25 20.5\n", + "11 56 58 181.50 68.00 20.4 181.50 20.4\n", + "12 103 49 196.75 73.75 22.3 196.75 22.3\n", + "13 57 62 201.25 69.50 28.0 201.25 28.0\n", + "14 156 28 205.75 69.00 31.2 205.75 31.2\n", + "15 246 69 215.50 70.50 30.2 215.50 30.2\n", + "16 204 44 223.00 69.75 34.8 223.00 34.8\n", + "17 243 67 227.75 72.75 32.6 227.75 32.6\n", + "18 177 37 241.25 71.50 29.9 241.25 29.9\n", + "19 34 41 247.25 73.50 32.3 247.25 32.3" + ], + "text/html": [ + "\n", + "
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indexAgeWeightHeightBodyFatXY
018140118.5068.000.0118.500.0
117135125.7565.500.7125.750.7
25442136.2567.503.9136.253.9
321049140.5068.007.1140.507.1
415227146.0072.2510.1146.0010.1
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914140173.2569.5018.3173.2518.3
1017235177.2571.0020.5177.2520.5
115658181.5068.0020.4181.5020.4
1210349196.7573.7522.3196.7522.3
135762201.2569.5028.0201.2528.0
1415628205.7569.0031.2205.7531.2
1524669215.5070.5030.2215.5030.2
1620444223.0069.7534.8223.0034.8
1724367227.7572.7532.6227.7532.6
1817737241.2571.5029.9241.2529.9
193441247.2573.5032.3247.2532.3
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+ }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## TEMPERATURE" + ], + "metadata": { + "id": "6_WEP7xeEmFp" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "\n", + "data = {\n", + " 'Month': ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec'] * 3,\n", + " 'Year': [1]*12 + [2]*12 + [3]*12,\n", + " 'Avg. Humidity (%)': [80, 75, 70, 65, 60, 55, 53, 54, 60, 68, 73, 78] +\n", + " [79, 74, 71, 64, 59, 56, 52, 53, 61, 69, 72, 77] +\n", + " [78, 73, 69, 66, 61, 57, 54, 56, 62, 67, 71, 76],\n", + " 'Avg. Temperature (°C)': [4, 5, 9, 14, 18, 21, 24, 23, 19, 13, 7, 5] +\n", + " [5, 6, 10, 15, 19, 20, 23, 22, 18, 12, 6, 4] +\n", + " [4, 5, 9, 13, 17, 21, 24, 23, 19, 14, 8, 6]\n", + "}\n", + "df = pd.DataFrame(data)" + ], + "metadata": { + "id": "2zztHHtlo7Jp" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "df" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "hzrnHy2ZB1mx", + "outputId": "23cc7d65-02ac-4a7e-cb1a-a386fd1594a3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Month Year Avg. Humidity (%) Avg. Temperature (°C)\n", + "0 Jan 1 80 4\n", + "1 Feb 1 75 5\n", + "2 Mar 1 70 9\n", + "3 Apr 1 65 14\n", + "4 May 1 60 18\n", + "5 Jun 1 55 21\n", + "6 Jul 1 53 24\n", + "7 Aug 1 54 23\n", + "8 Sep 1 60 19\n", + "9 Oct 1 68 13\n", + "10 Nov 1 73 7\n", + "11 Dec 1 78 5\n", + "12 Jan 2 79 5\n", + "13 Feb 2 74 6\n", + "14 Mar 2 71 10\n", + "15 Apr 2 64 15\n", + "16 May 2 59 19\n", + "17 Jun 2 56 20\n", + "18 Jul 2 52 23\n", + "19 Aug 2 53 22\n", + "20 Sep 2 61 18\n", + "21 Oct 2 69 12\n", + "22 Nov 2 72 6\n", + "23 Dec 2 77 4\n", + "24 Jan 3 78 4\n", + "25 Feb 3 73 5\n", + "26 Mar 3 69 9\n", + "27 Apr 3 66 13\n", + "28 May 3 61 17\n", + "29 Jun 3 57 21\n", + "30 Jul 3 54 24\n", + "31 Aug 3 56 23\n", + "32 Sep 3 62 19\n", + "33 Oct 3 67 14\n", + "34 Nov 3 71 8\n", + "35 Dec 3 76 6" + ], + "text/html": [ + "\n", + "
\n", + "
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MonthYearAvg. Humidity (%)Avg. Temperature (°C)
0Jan1804
1Feb1755
2Mar1709
3Apr16514
4May16018
5Jun15521
6Jul15324
7Aug15423
8Sep16019
9Oct16813
10Nov1737
11Dec1785
12Jan2795
13Feb2746
14Mar27110
15Apr26415
16May25919
17Jun25620
18Jul25223
19Aug25322
20Sep26118
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "df['X'] = df['Avg. Humidity (%)'].values.tolist()\n", + "df['Y'] = df['Avg. Temperature (°C)'].values.tolist()" + ], + "metadata": { + "id": "8-WRtetUpAHR" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "train = df[['X', 'Y']][:24]\n", + "test = df[['X', 'Y']][24:]" + ], + "metadata": { + "id": "5J_26x0YqjEB" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "## PLAYERS ❌" + ], + "metadata": { + "id": "JgI1tCS3Ephy" + } + }, + { + "cell_type": "code", + "source": [ + "data = {\n", + " 'Name': ['Lionel Messi', 'Cristiano Ronaldo', 'Neymar Jr.', 'Kevin De Bruyne', 'Mohamed Salah', 'Kylian Mbappé', 'Erling Haaland', 'Robert Lewandowski', 'Karim Benzema', 'Bruno Fernandes', 'Sadio Mané', 'Kai Havertz', 'Phil Foden', 'Luka Modrić', 'Eden Hazard', 'Frenkie de Jong', 'Joshua Kimmich', 'Raheem Sterling', 'Paulo Dybala', 'James Rodríguez', 'Mason Mount', 'Ansu Fati', 'Jack Grealish', 'Thiago Alcantara', 'João Félix', 'NGolo Kanté', 'Lautaro Martinez', 'Marco Reus', 'Pierre-Emerick Aubameyang', 'Christian Pulisic', 'Son Heung-min', 'Thiago Silva', 'Sergio Agüero', 'Angel Di Maria', 'Thomas Müller', 'Leon Goretzka', 'Leroy Sané', 'Marquinhos', 'Ousmane Dembélé', 'Kingsley Coman'],\n", + " 'Goals': [25, 30, 18, 10, 27, 28, 29, 32, 20, 15, 19, 14, 10, 8, 12, 5, 7, 21, 17, 16, 12, 15, 13, 6, 18, 4, 20, 15, 22, 11, 19, 3, 23, 12, 14, 10, 16, 5, 14, 17],\n", + " 'Assists': [10, 5, 12, 18, 8, 10, 5, 6, 8, 20, 9, 7, 14, 12, 10, 14, 16, 9, 8, 15, 10, 9, 8, 14, 6, 12, 6, 10, 5, 9, 7, 4, 4, 11, 12, 11, 9, 6, 8, 10],\n", + " 'Average_Score': [9.5, 9.3, 9.1, 9.4, 9.2, 9.3, 9.5, 9.6, 9.0, 9.1, 9.0, 8.7, 8.8, 8.7, 8.6, 8.9, 9.0, 9.0, 8.8, 8.7, 8.6, 8.8, 8.7, 8.9, 8.8, 8.7, 8.9, 8.8, 8.9, 8.6, 8.7, 8.5, 8.8, 8.7, 8.6, 8.7, 8.6, 8.5, 8.6, 8.7]\n", + "}\n", + "\n", + "# Convert dictionary to pandas dataframe\n", + "pl_def = pd.DataFrame(data)\n", + "pl_def" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "NOSFTOGeEsKy", + "outputId": "b3c127aa-6348-4bd4-defa-cbf840ba2069" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Name Goals Assists Average_Score\n", + "0 Lionel Messi 25 10 9.5\n", + "1 Cristiano Ronaldo 30 5 9.3\n", + "2 Neymar Jr. 18 12 9.1\n", + "3 Kevin De Bruyne 10 18 9.4\n", + "4 Mohamed Salah 27 8 9.2\n", + "5 Kylian Mbappé 28 10 9.3\n", + "6 Erling Haaland 29 5 9.5\n", + "7 Robert Lewandowski 32 6 9.6\n", + "8 Karim Benzema 20 8 9.0\n", + "9 Bruno Fernandes 15 20 9.1\n", + "10 Sadio Mané 19 9 9.0\n", + "11 Kai Havertz 14 7 8.7\n", + "12 Phil Foden 10 14 8.8\n", + "13 Luka Modrić 8 12 8.7\n", + "14 Eden Hazard 12 10 8.6\n", + "15 Frenkie de Jong 5 14 8.9\n", + "16 Joshua Kimmich 7 16 9.0\n", + "17 Raheem Sterling 21 9 9.0\n", + "18 Paulo Dybala 17 8 8.8\n", + "19 James Rodríguez 16 15 8.7\n", + "20 Mason Mount 12 10 8.6\n", + "21 Ansu Fati 15 9 8.8\n", + "22 Jack Grealish 13 8 8.7\n", + "23 Thiago Alcantara 6 14 8.9\n", + "24 João Félix 18 6 8.8\n", + "25 NGolo Kanté 4 12 8.7\n", + "26 Lautaro Martinez 20 6 8.9\n", + "27 Marco Reus 15 10 8.8\n", + "28 Pierre-Emerick Aubameyang 22 5 8.9\n", + "29 Christian Pulisic 11 9 8.6\n", + "30 Son Heung-min 19 7 8.7\n", + "31 Thiago Silva 3 4 8.5\n", + "32 Sergio Agüero 23 4 8.8\n", + "33 Angel Di Maria 12 11 8.7\n", + "34 Thomas Müller 14 12 8.6\n", + "35 Leon Goretzka 10 11 8.7\n", + "36 Leroy Sané 16 9 8.6\n", + "37 Marquinhos 5 6 8.5\n", + "38 Ousmane Dembélé 14 8 8.6\n", + "39 Kingsley Coman 17 10 8.7" + ], + "text/html": [ + "\n", + "
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NameGoalsAssistsAverage_Score
0Lionel Messi25109.5
1Cristiano Ronaldo3059.3
2Neymar Jr.18129.1
3Kevin De Bruyne10189.4
4Mohamed Salah2789.2
5Kylian Mbappé28109.3
6Erling Haaland2959.5
7Robert Lewandowski3269.6
8Karim Benzema2089.0
9Bruno Fernandes15209.1
10Sadio Mané1999.0
11Kai Havertz1478.7
12Phil Foden10148.8
13Luka Modrić8128.7
14Eden Hazard12108.6
15Frenkie de Jong5148.9
16Joshua Kimmich7169.0
17Raheem Sterling2199.0
18Paulo Dybala1788.8
19James Rodríguez16158.7
20Mason Mount12108.6
21Ansu Fati1598.8
22Jack Grealish1388.7
23Thiago Alcantara6148.9
24João Félix1868.8
25NGolo Kanté4128.7
26Lautaro Martinez2068.9
27Marco Reus15108.8
28Pierre-Emerick Aubameyang2258.9
29Christian Pulisic1198.6
30Son Heung-min1978.7
31Thiago Silva348.5
32Sergio Agüero2348.8
33Angel Di Maria12118.7
34Thomas Müller14128.6
35Leon Goretzka10118.7
36Leroy Sané1698.6
37Marquinhos568.5
38Ousmane Dembélé1488.6
39Kingsley Coman17108.7
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NameGoalsAssistsAverage_ScoreParticipation
0Lionel Messi25109.535
1Cristiano Ronaldo3059.335
2Neymar Jr.18129.130
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\n" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ] + }, + { + "cell_type": "code", + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# Assuming you have already loaded your DataFrame 'df' with 'X' and 'Y' columns\n", + "\n", + "X = pl_def['Participation']\n", + "Y = pl_def['Average_Score']\n", + "\n", + "# Create a scatter plot\n", + "plt.scatter(X, Y, c='r', label='Data Points', s=5)\n", + "\n", + "# Labeling the axes\n", + "plt.xlabel('Participation')\n", + "plt.ylabel('Average Score')\n", + "\n", + "# Add a legend\n", + "plt.legend()\n", + "\n", + "# Show the plot\n", + "plt.title('Goal Participation vs Score')\n", + "plt.grid(True, alpha=.5)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "TQ5Gi0hFFVO5", + "outputId": "e760a422-4bbc-4726-f9da-37b8949326f4" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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y_mean) ** 2)\n", + " ss_res = np.sum((y_actual - y_predicted) ** 2)\n", + " return 1 - (ss_res / ss_total)\n", + "\n", + "def interpolate_multiple(df, df_test, n=5, figsize=(8, 8)):\n", + " X = df['X'].values.tolist()\n", + " Y = df['Y'].values.tolist()\n", + "\n", + " X_test = df_test['X'].values\n", + " Y_test = df_test['Y'].values\n", + "\n", + " new_X = np.arange(min(X), max(X), n)\n", + " r2_scores = {}\n", + "\n", + " methods = ['linear', 'nearest', 'zero', 'quadratic', 'cubic', 'newton']\n", + "\n", + " for method in methods:\n", + " plt.figure(figsize=figsize)\n", + "\n", + " if method == 'newton':\n", + " interpolated_values = [newton_interpolation(X, Y, x_val) for x_val in new_X]\n", + " y_pred_test = [newton_interpolation(X, Y, x_val) for x_val in X_test]\n", + " else:\n", + " interpolator = interp1d(X, Y, kind=method, fill_value=\"extrapolate\")\n", + " interpolated_values = interpolator(new_X)\n", + " y_pred_test = interpolator(X_test)\n", + "\n", + " r2_scores[method] = r_squared(Y_test, y_pred_test)\n", + "\n", + " plt.plot(new_X, interpolated_values, color=colors[method], label=method)\n", + " plt.title(f'Interpolation Method: {method} - R^2: {r2_scores[method]:.4f}')\n", + " plt.ylim([0, max(Y) + 10])\n", + " plt.plot(X, Y, '*', markersize=4, label='Data', color='blue')\n", + " plt.plot(X_test, Y_test, 'o', markersize=5, label='Test Data', markerfacecolor='none', markeredgecolor='red')\n", + " plt.legend()\n", + " plt.grid(True, alpha=0.3)\n", + " plt.show()\n", + "\n", + " #return r2_scores\n", + "\n", + "interpolate_multiple(train, test, .1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "FEF8BKdFwQ_x", + "outputId": "8b8ea4a8-ef30-4f4d-8d76-47013d9c5e8d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" 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\n" 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\n" 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\n" 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\n" 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44Q9/iPLy8rSf2267DQBQU1OT9p0DoytTOTAi8tBDD0UkEknOd9u6dSsikQjGjBmTtt/gwYNRVlaGrVu39tneRx99FBMmTEBeXh4GDBiA8vJy/PGPf7Q8N8xse0aOHNmtjEzPdSozZszAq6++ik8//RQvvPACZsyY0eN+GzduBADMnDmz2/VZunQp2traMj72g7W9trYWzc3NOPzww7vtN27cOMTjcfz3v/8FoJ+3nqJfe/quWTI5xxs3bsTLL7/c7ZycfvrpALru2UGDBmHs2LF4++23AQBvv/02vvCFL+CUU07B9u3b8cknn2D16tWIx+MZzQl0636pra3Fzp07kz+NjY0Hbdvxxx+PV199FS+//DLuuecelJWVYd++fd3mWcpg586dOOecc1BaWopnn30WWVlZlsqpq6tLO869e/cC0Ode/+xnP8NPfvITFBUVZVTWEUccgdNPPx2XXXYZ/vCHP6CxsRHTp0+HEKLP791www2IRCJYtWpVn/vl5+cDAKZPn57Wps9//vMYPXo0/va3v/X5/ZNPPhnHH398n/U88cQTyMrKwsUXX9xj/T3NyzTmxBvtI+GAqY+I61gd6AEkgyluuukmnHXWWT3uc+CD1cyg1lsCdSuJ1R9//HHMmjUL559/Pr773e+ioqICWVlZWLx4cY9BEGbItD29neuDPdAO5LzzzkNubm4yNc1FF13U437G9fnZz36GSZMm9bhPpg9jWW13mkzaGY/HccYZZ+Dmm2/ucd/DDjss+ffJJ5+M1157DS0tLaiqqsKtt96Ko446CmVlZXj77bexfv16FBUV4Zhjjsm4jU7fL1OmTEkTrrfddltaQF9PDBw4MCm2zzrrLBxxxBE499xz8Ytf/AI33nhjRu3NhLq6Opx99tnYv38/3n77bQwdOtRyWddddx0effTR5OepU6fijTfewK233ophw4bh1FNPTb6oGgFLtbW1qK6uxsiRIxGJ9G7fufDCC3HllVfi448/7vMlKD8/HwMGDEgK3d4wjnPQoEHd/ldRUZHRC+eIESPw0Ucf9fi/lpYWPP/88zj99NN7rGPIkCHYsWNHt+3GNjvXgfgPik2iJL09HA855BAAQE5OTvJBZYeNGzemWT43bdqEeDyOyspKAMCoUaMQj8exceNGjBs3Lrnfrl27sH//fowaNarXsp999lkccsgheO6559KOx7DAGpgRsnbaY4f8/Hycf/75ePzxx3H22Wdj4MCBPe536KGHAgBKSkoOen3sroxUXl6OgoKCHh+GGzZsQCQSwYgRIwDo582wuqbS24NUNoceeigaGxszume/8IUvYMWKFfjf//1fxGIxnHjiiYhEIjj55JOTYvPEE09ME4a9nUu37pcnnngCLS0tyc9GPzXDOeecg6lTp+LOO+/ElVdeicLCQtvtam1txfTp0/Hxxx9j1apVGD9+vK3ybr75Znzzm99Mfu7Xrx8A4NNPP8WmTZt6PO6rr74aALBv374+c6Aa5+9glv+Ghgbs3r27m3foQI477jgAwGeffdbtf9u3b88oMfwnn3zSaz0vvfQSGhoaukWhG0yaNAlvv/024vF4msh+7733UFBQkPaCRYIP3ehESYxkwwemAqmoqMCpp56KX//61z2+NdfW1pqq58EHH0z7/Mtf/hIAcPbZZwMA/t//+38AgPvvvz9tv/vuuw+A/oDsDUMMpFqF3nvvPbzzzjtp+/V2rD1hpz12uemmm3Dbbbfhhz/8Ya/7HHfccTj00ENxzz339OhKTb0+hpiwuupNVlYWzjzzTLz44otpKZN27dqFJ598EieffDJKSkoA6Oft3Xffxd///ve0tjzxxBPdypWZBsfgoosuwjvvvINXXnml2//279+Pzs7O5GfDPX7XXXdhwoQJyQTeX/jCF/Daa69hzZo13VzovZ1Lt+6Xk046Caeffnryx4rYBIDvfe972LNnD/7nf/7HdptisRguvvhivPPOO3jmmWdwwgkn9Lpvptd8/PjxacdpCLof//jHeP7559N+7rjjDgC6QH3++eeT1+jAaT4A0NHRgd/85jfIz89PCuLW1lY0NDR02/eOO+6AEALTpk1L+/6GDRvSxsTDDz8cEydOxIsvvpi2wtf//d//4b///S/OOOOM5Laexs0//elPqKqqSqsnlSeffBIFBQX4yle+0uP/L7zwQuzatQvPPfdcctvu3bvxzDPPYPr06cjNze3xeySY0LJJlMQYdJ966ikcdthh6N+/P4466igcddRRePDBB3HyySfj6KOPxhVXXIFDDjkEu3btwjvvvINt27Zh3bp1GdezZcsWnHfeeZg2bRreeecdPP7445gxYwYmTpwIAJg4cSJmzpyJRx55BPv378fUqVPx97//HY8++ijOP/98fPGLX+y17HPPPRfPPfccvvKVr+Ccc87Bli1b8PDDD2P8+PFpQqyvYz0QO+2xy8SJE5PnpTcikQiWLl2Ks88+G0ceeSQuv/xyDBs2DJ999hn+8pe/oKSkJLksn/Gg/v73v4+vf/3ryMnJwfTp001ZtH784x/j1Vdfxcknn4yrr74a2dnZ+PWvf422tjbcfffdyf1uvvlmPPbYY5g2bRquu+46FBYW4pFHHsGoUaPS8lcCwPPPP4/LL78cK1aswKxZszJuS19897vfxUsvvYRzzz0Xs2bNwnHHHYempib861//wrPPPovq6uqktXjMmDEYPHgwPvroI3z7299OlnHKKafge9/7HgB0E5u9nUsv7xcrnH322TjqqKNw33334ZprrkFOTo7lsr7zne/gpZdewvTp07F37148/vjjaf9PtVDaveYnn3xyt22GFXPKlCk4//zzk9uvvPJK1NfX45RTTsGwYcOwc+dOPPHEE9iwYQPuvffe5DSTnTt34phjjsEll1yStEK+8sor+NOf/oRp06bhy1/+crLMzz77DOPGjcPMmTOxcuXK5Paf//znOOOMM3DyySfjyiuvRF1dHe677z4cdthh+Na3vpXc78QTT8QxxxyDyZMno7S0FO+//z6WL1+OESNG4JZbbul2bHv37sWf//xnXHDBBb1Oi7nwwgvx+c9/Hpdffjn+85//JFcQisViyRXTSIjwLjaJBJ3eotF7WhGjp3ySf/vb38Rxxx0notFot2jtzZs3i8suu0wMHjxY5OTkiGHDholzzz1XPPvss33Wf2B9//nPf8SFF14oiouLRb9+/cS1114rWlpa0vbt6OgQixYtEqNHjxY5OTlixIgRYuHChWmpl4ToHo0ej8fFnXfeKUaNGiVyc3PFMcccI/7whz+ImTNnilGjRmV0rD2dl0zb01Muw57a2RvIIA1NT3k2hRDin//8p/jqV78qBgwYIHJzc8WoUaPERRddJF577bW0/e644w4xbNgwEYlE0qKpe6t71KhRYubMmWnb3n//fXHWWWeJoqIiUVBQIL74xS+Kv/3tb92++8EHH4ipU6eKvLw8MWzYMHHHHXeIZcuW2U59lOk5bmhoEAsXLhRjxowR0WhUDBw4UJx44oninnvuEe3t7Wn7fu1rXxMAxFNPPZXc1t7eLgoKCkQ0Gu12jwrR+7l0634xQ291CSHEypUrpeS8nDp1ao8R78ZPKrLybKbSWzT6b3/7W3H66aeLQYMGiezsbNGvXz9x+umnixdffDFtv3379olvfvObYsyYMaKgoEDk5uaKI488Utx5553d7pctW7YIAN36hhBCvPrqq+Lzn/+8yMvLE/379xeXXnqp2LFjR9o+3//+98WkSZNEaWmpyMnJESNHjhTf+ta3eo2Of/jhhwUA8dJLL/V5Dvbu3SvmzJkjBgwYIAoKCsTUqVMtr1JE/I0mhGKz7Qlxgdtvvx2LFi1CbW1tr/MPCSGEEGIfztkkhBBCCCGOQbFJCCGEEEIcg2KTEEIIIYQ4BudsEkIIIYQQx6BlkxBCCCGEOAbFJiGEEEIIcQzlkrrH43Fs374dxcXFtpezI4QQQggh8hFCoKGhAUOHDk1bkrQnlBOb27dvT65nTAghhBBC1OW///0vhg8f3uc+yonN4uJiAHrjjXWNHaV6O7BtJzCkHDhUgsjdsRvY/CnQvxQYf6j98lrbgDX/BiIR4MRJ9sv7bBew5TO0FBUgd8JhB30byYjNn+rHPWIIMGqI/fJU5Z8bgKZm/br2L5VadDweR21tLcrLy+VcE2ILXg/14DVRj4yvyaZPgZ0uPCNq9gIfVwNlJcBRY+SX39wKvP8fICsLOKHvpXsPyt464D+bgYJ84NhxUprndh+pr6/HiBEjkrqtL5QTm4brvKSkxB2xWdwAFDYCxcWAjPoa24DCIqBIUnnRRHmRiJzy6puBwiLkFOUjt6REzg1ZWAwUtso7h6pSXAQg4shxxuNxtLa2okTWNSG24PVQD14T9cj4mhQW6c+IkhJnnxEtHYm6Cp2pJzuql5+VZb/8TpFoa760tnrVRzKZ8sgeGzo4D5YQQoiLGBkWnX78uPV442PUNBSbhGRMYoRhZlpCCMmcpNgMitokZqHYJPIIej9PHh/VJiGEZIwxZLqVYYZr1SiHcnM2yQH4os/4opHEB8RiMXR0dHjdDMTjcXR0dKC1tZXzAzMkJycHWVlZXjeDqIhblk3HtSyfdVah2CQkY+hGdwohBHbu3In9+/d73RQAenvi8TgaGhqY79cEZWVlGDx4MM8ZScdtNzrHaOWg2CQkU+hGdwxDaFZUVKCgoMBzsSKEQGdnJ7Kzsz1vix8QQqC5uRk1NTUAgCFDApwCjZgnKAFCHPotQ7FJSMbwrdkJYrFYUmgOGDDA6+YAoNi0Qn5+PgCgpqYGFRUVdKmTFNyybB5Qn2NIOI6QjSucjETsExbxFa6xwTWMOZoFBQUet4TYxbiGKsy7JQrhWoAQDQKqQrEZNhzt62FRYxzJnIAWRP/Da0h6JDABQi7XEyAoNgnJFI1vzYQQYhq35mx2VehWRSRDKDZDB1/JCCGEuAij0UMPxaZf8ING9EMbZcCEwcRlqquroWka1q5d63VTCDFPcsgMiBudmIZik5BM4Xw0Qggxj2uWzQPqI8pAsUmIWTiOEQCnnnoq5s+fj5tvvhn9+/fH4MGDcfvttyf/v3//fsydOxfl5eUoKSnBaaedhnXr1gEA6urqkJWVhTVr1gDQVyzq378/Pv/5zye///jjj2PEiBEAgNGjRwMAjjnmGGiahlNPPTX5vR/96EcYPnw4cnNzMWnSJLz88svJMgyL6HPPPYcvfvGLKCgowMSJE/HOO+84eWoISce1PJsOV0ARaxmKzZCiSe0zIemATOruDkIAsZg3PyYfJo8++igKCwvx3nvv4e6778aPfvQjvPrqqwCAr33ta6ipqcGf//xnVFVV4dhjj8WXvvQl7N27F6WlpZg0aRLeeOMNAMC//vUvaJqGf/7zn2hsbAQAvPnmm5g6dSoA4O9//zsAYNWqVdixYweee+45AMAvfvEL3HvvvbjnnnvwwQcf4KyzzsJ5552HjRs3prXz+9//Pm666SasXbsWhx12GC655BJ0dnZavkSEmMJtyyZRDiZ1JyRjOFC6QjwO/PWf3tR98jGAiWTkEyZMwG233QYAGDt2LB544AG89tpryM/Px9///nfU1NQgNzcXAHDPPffghRdewLPPPot58+bh1FNPxRtvvIGbbroJb7zxBs444wxs2LABf/3rXzFt2jS88cYbuPnmmwEA5eXlAIABAwZg8ODByfrvuecefO9738PXv/51AMBdd92Fv/zlL7j//vvx4IMPJve76aabcM455wAAFi1ahCOPPBKbNm3CEUccYeNkEZIhruXZNOqjQUA1aNkk9glLvzbGybAcLzkoEyZMSPs8ZMgQ1NTUYN26dWhsbMSAAQNQVFSU/NmyZQs2b94MAJg6dSr++te/IhaL4c0338Spp56aFKDbt2/Hpk2bku7ynqivr8f27dtx0kknpW0/6aSTsH79+l7baSwlaSwtSYjjuJZn0yUxSwutaWjZVB4qG/XgNXGUSES3MHpVtwlycnLSPmuahng8jsbGRgwZMiTpJk+lrKwMAHDKKaegoaEB77//Pt566y3ceeedGDx4MH76059i4sSJGDp0KMaOHWv1SHptp5F4PR6PSymbkIPidp5NDtHKQbEZNvhCZgPmcHMFTTPlylaRY489Fjt37kR2djYqKyt73KesrAwTJkzAAw88gJycHBxxxBGoqKjAxRdfjD/84Q/J+ZoAEI1GAejryBuUlJRg6NChWL16ddq+q1evxuc+9zlnDowQS7i9ghAHadWgG53II+iuhYAfHpHH6aefjhNOOAHnn38+/u///g/V1dX429/+hu9///vJCHRAj2h/4oknkmKxf//+GDduHJ566qk0AVlRUYH8/Hy8/PLL2LVrF+rq6gAA3/3ud3HXXXfhqaeewkcffYQFCxZg7dq1uO6669w9YEL6wu05m0Q5KDYJMQsnn5ODoGka/vSnP+GUU07B5ZdfjsMOOwxf//rXsXXrVgwaNCi539SpUxGLxdLmZp566qndtmVnZ2PJkiX49a9/jaFDh+LLX/4yAGD+/Pm48cYb8Z3vfAdHH300Xn75Zbz00kvS3O+ESIErCIUeutEJyRS+lZMUepqP+cILLyT/Li4uxpIlS7BkyZJeyzj//PMhDnh5uf/++3H//fd323fu3LmYO3du2rZIJILbbrstGRF/IJWVld3KLysr67aNEEdxLUAoWaEz5bPbWIaWzdDCXmMdnjtCCMkYBgiFHorN0EHrnG04kBFCSOa4NWfTce8TB3+rUGwSkil0oxNCiHlcX0HIYVHIR4FpKDZ9g8J3d9jmf4XteAkhxA4MEAo9FJuEZAotm4QQYo7Ul3OXtKbz8FlgFopNQszCt2ZCCMmMNE8Q10YPKxSbslH9hcfJ9ql+7Hbh6hSEEGKONK3p9wAhYhWKTUIyReN8IEIIMUWaG93nYpBjv2UoNlXHVze3zweSjPHVRSGEEA9xcc5mD1UqT0hc/hSbhGQKLZuEEGIONy2byfKdGqQ5+FuFYjOssM9YJyRvouTgzJo1C5qmQdM05OTkYNCgQTjjjDOwfPlyxOPxjMtZuXIlysrKnGsoIV7h5pzNnuokSkCxSUjGhGWaADHDtGnTsGPHDlRXV+PPf/4zvvjFL+K6667Dueeei87OTq+bR4i3uJnQ3a0hmo8C01BsEvuE5S0y6aEJywH7j1WrgPHj9d9ukZubi8GDB2PYsGE49thjccstt+DFF1/En//8Z6xcuRIAcN999+Hoo49GYWEhRowYgauvvhqNjY0AgDfeeAOXX3456urqklbS22+/HQDw2GOPYfLkySguLsbgwYMxY8YM1NTUuHdwhNjF9dWDgPA8lPwDxWbo4CuZZfweSRlgtm4FqqqABQuA9ev131VV+nYvOO200zBx4kQ899xzAIBIJIIlS5bg3//+Nx599FG8/vrruPnmmwEAJ554Iu6//36UlJRgx44d2LFjB2666SYAQEdHB+644w6sW7cOL7zwAqqrqzFr1ixvDooQKyTFphuVcV69qmR73QASBELWs0N2uH6gsjL9c1UVMHmy/rdXhugjjjgCH3zwAQDg+uuvT26vrKzEj3/8Y1x11VX41a9+hWg0itLSUmiahsGDB6eVMXv27OTfhxxyCJYsWYIpU6agsbERRUVFrhwHIbYw+l+Q3OjENLRsEnkEvaMzqbuyPP64ue1uIISAlnjArlq1Cl/60pcwbNgwFBcX49JLL8WePXvQ3NzcZxlVVVWYPn06Ro4cieLiYkydOhUA8OmnnzrefkKk4IUb3fE3zKA/7ORDsekXZN3b7CM2oItGVWbMAKZMSd82ZYq+3SvWr1+P0aNHo7q6Gueeey4mTJiA3/3ud6iqqsKDDz4IAGhvb+/1+01NTTjrrLNQUlKCJ554Av/4xz/w/PPPH/R7hCiFqwFCDtfBsd8ydKMTiQRcydKyqSwdHfozbcoUYM4cYNky/XNHBxCNut+e119/Hf/6179www03oKqqCvF4HPfeey8iEf39/umnn07bPxqNIhaLpW3bsGED9uzZg5/+9KcYMWIEAGDNmjXuHAAhsnB1zqaPCNn5oNgkJGNo2VSVaBRYvRrIydGNG/PmuSc029rasHPnTsRiMezatQsvv/wyFi9ejHPPPReXXXYZPvzwQ3R0dOCXv/wlpk+fjtWrV+Phhx9OK6OyshKNjY147bXXMHHiRBQUFGDkyJGIRqP45S9/iauuugoffvgh7rjjDucPiBCZJF3aQXKjE7PQjU5IptCyqTTRaJcXTdPcs2i+/PLLGDJkCCorKzFt2jT85S9/wZIlS/Diiy8iKysLEydOxH333Ye77roLRx11FJ544gksXrw4rYwTTzwRV111FS6++GKUl5fj7rvvRnl5OVauXIlnnnkG48ePx09/+lPcc8897hwUIbJwNUDIJUEbMqukDGjZDClS+0potJfHls22dmDDFmD4YGBAqUeNIKmsXLkymUuzL2644QbccMMNadsuvfTStM8PPfQQHnroobRtl1xyCS655JK0bYJWG+InPMmz6RTse1ah2CQkU7y2bO7cDexvAOKCYpMQ4g/cnLOZWocQARG4wYBu9NDCNzTTaB5bNhtbEr+bABPrbhNCiGe4atmkuFQVik0iD/ZzZ2lK5GSMC6Cpxdu2EEJIJrg5Z5MoC8UmIZni5dronTGgpa3rc32T+20ghBDTuJlnM7VaB8ZpOgQtQ7EZVqR2mrD0QA/d6AdaMusbPWgEIYSYxIu10X1RT7gsvRSbYYOuDOskz50HatNwoWdl6b9p2SSE+AFXVxBKrdf56kjmmBKbDz30ECZMmICSkhKUlJTghBNOwJ///Ofk/1tbW3HNNddgwIABKCoqwgUXXIBdu3ZJbzQhnuLFINaYEJuD+uu/W9uA9g4PGkIIISbwbM6mgwM1bTamMSU2hw8fjp/+9KeoqqrCmjVrcNppp+HLX/4y/v3vfwPQc8n9/ve/xzPPPIM333wT27dvx1e/+lVHGk5UJOA90MvUR0YkemkxUJCn/91A6yYhRHEYjU5gMs/m9OnT0z7/5Cc/wUMPPYR3330Xw4cPx7Jly/Dkk0/itNNOAwCsWLEC48aNw7vvvovPf/7z8lodKnzgC/BBE+Xg0ZxNkRJ9XpQPlBQCza26K31AmcuNIYQQE3iWZ9OF+kjGWE7qHovF8Mwzz6CpqQknnHACqqqq0NHRgdNPPz25zxFHHIGRI0finXfe6VVstrW1oa2tK8q2vr4eABCPxxF3IZegJgQ06KtyCBn1xQUiAARklwc55Yl40pwt6/xq0M9hXIiA539MXAtZ90oK8XgcQoier0lzKyLxOEREg8iNAoUFiGAPRGOz9HZ4gXHsxo8qGG1RqU2qY1xDJ8bvPvsI8YSMrkk8nniGac6PV/HU51sMiEtWuMaxCAnPY5llJYt0t4+Yqce02PzXv/6FE044Aa2trSgqKsLzzz+P8ePHY+3atYhGoygrK0vbf9CgQdi5c2ev5S1evBiLFi3qtr22thatra1mm2eaouYmFAFobm5BQ02N7fLyGxpRCl1E75dQXlZbB8oBiLhAjYTy8uqbUQago6MDe2pqEInYjxEra2tDHoCGhnq0ZAX3QZDf0CT12qYSj8dRV1cHIUS3a5K8ZtFs7K2tRW5LM/oB6GhpwV7J7fCCjo4OxONxdHZ2orOz0+vmANBFUywWAwBoPbj/ogdZeP0HP/gBbr31Vkt1R6NRPPPMM/jyl7980P0MCgoKMHToUJxwwgm45pprcOyxx5qq8/TTT8fEiRNx7733WmqzQWdnJ+LxOPbs2YOcnBxbZR1IX32EeEMm1yS/PvFMbJc/bnZDCAxO/FlbuxsiS+59Em1uRX8AnbFO7LF5LDnNbRgAIBbrxG5J58XtPtLQ0JDxvqbF5uGHH461a9eirq4Ozz77LGbOnIk333zTbDFJFi5ciBtvvDH5ub6+HiNGjEB5eTlKSkosl5spWnMnsKcBBQX5yK+osF9gLALs2o/c3FxUyCivuRWo3gUtoskpD3uBHXuRk5ODiooKKTektrsBaGxFcXEJiisGSmijoog9wM59yI1GJV2LLuLxODRNQ3l5efdr0q4H2eUUF+n1RhuA7XuRo0Wkt8MLWltb0dDQgOzsbGRn21hBd+NGYPlyYOtWYNQoYPZsYOxYW23rTTBt3749+fdTTz2F2267DRs2bEhuKyoqsnUsWVlZGX1/+fLlmDZtGlpbW/Hxxx/jf/7nf3DSSSdh2bJluOyyyzKuT9M0aJpm7/wDyM7ORiQSwYABA5CXl2errAPps48QT8jomnRq+jMxL8/58UoI4OPPAADlAwcCOZJX5N7fAPx3N7Kzs+0fy/4G4L+1yMqSUFYCt/uImT5u+kpEo1GMGTMGAHDcccfhH//4B37xi1/g4osvRnt7O/bv359m3dy1axcGDx7cS2lAbm4ucnNzu22PRCLuDCgJq4WmadBk1BdJlAfZ5UFOeSlWGnnnWEuUpwFBfggkjk3atTgATdN6viadCQtbNEevN6oLIK0z5kg73CYSiSTFTk9WxIxYsQK44gqgtBSYOBH4v/8D7rkHWLoUmDXLdHFCiGRbemrTkCFDkn+XlZVB07S0bUuXLsW9996LLVu2oLKyEvPnz8fVV18NAGhvb8eNN96I3/3ud9i3bx8GDRqEq666CgsXLkRlZSUAJAMrR40aherq6l7b2a9fv2S9o0ePxllnnYWZM2fi29/+Ns477zz069cPe/bswbXXXou33noL+/btw6GHHopbbrkFl1xyCQBg1qxZePPNN/Hmm29iyZIlAIAtW7ZgxIgRmDdvHl5//XXs3LkTI0eOxNVXX43rrruu1/YY19Cp8dvJsok1Mr0mmhZxfrxKmfLiyPNIk/g8Np4nmtzniZt9xEwdtlsTj8fR1taG4447Djk5OXjttdeS//voo4/w6aef4oQTTrBbDSHq4PYcvoTYRHZW+u+OTm9WM1KNjRt1oTl7NrBtG/D66/rvyy8H5s4FNm1ytTlPPPEEbr31VvzkJz/B+vXrceedd+KHP/whHn30UQDAkiVL8NJLL+Hpp5/GRx99hCeeeCIpMv/xj38A0IMrd+zYkfxshhtuuAENDQ149dVXAeiW4+OOOw5//OMf8eGHH2LevHm49NJL8fe//x0A8Itf/AInnHACrrjiCuzYsQM7duzAiBEjEI/HMXz4cDzzzDP4z3/+g1tvvRW33HILnn76aQlniYQGVwOEUirh0KgUpiybCxcuxNlnn42RI0eioaEBTz75JN544w288sorKC0txZw5c3DjjTeif//+KCkpwbe//W2ccMIJjES3gy86jC8aaR+vEuIb8xgNF6fhGjICsoxE72Fl+XLdorlkCWC4dfLz9c+/+x2wbBmweLFrzbnttttw7733Jq2To0ePxn/+8x/8+te/xsyZM/Hpp59i7NixOPnkk6FpGkaNGpX8bnl5OQDdWtqXR6gvjjjiCABIWkSHDRuGm266Kfn/b3/723jllVfw9NNP43Of+xxKS0sRjUZRUFCQVmdWVlbafPrRo0fjnXfewdNPP42LLrrIUttICHE19ZFLBOlYXMKU2KypqcFll12GHTt2oLS0FBMmTMArr7yCM844AwDw85//HJFIBBdccAHa2tpw1lln4Ve/+pUjDQ8fkm5u9hH7uK2tD7RsRiL6YCeE/r+wi83qat11fuD8ofx8YNIk/f8u0dTUhM2bN2POnDm44oorkts7OztRWloKQHdbn3HGGTj88MMxbdo0nHvuuTjzzDOltcGInjfc/7FYDHfeeSeefvppfPbZZ2hvb0dbWxsKCgoOWtaDDz6I5cuX49NPP0VLSwva29sxadIkaW0lIcCrpO70+iiFKbG5bNmyPv+fl5eHBx98EA8++KCtRhGiJF4ldT/QsqlpuvDs6NR/cvuOjA48lZX6HM2WFl1gGrS0AGvXAlde6VpTGhv1Nev/53/+B8cff3za/7ISLwXHHnsstmzZgj//+c9YtWoVLrroIpx++ul49tlnpbRh/fr1AHRLJAD87Gc/wy9+8Qvcf//9OProo1FYWIjrr78e7e3tfZbzv//7v7jppptw77334oQTTkBxcTF+9rOf4b333pPSThIS3LZsGi/iRCkkh2oR9XGgw4emX3uU1N2wbOakWDBzsnWhafwvzMyeDfzsZ8D8+brrPD9fF5rz5wP19cCcOa41ZdCgQRg6dCg++eQTfOMb3+h1v5KSElx88cW4+OKLceGFF2LatGnYu3cv+vfvj5ycnGTaJSvcf//9KCkpSeY8Xr16Nb785S/jm9/8JgB9nv3HH3+M8ePHJ78TjUa71bl69WqceOKJycAmANi8ebPldpGQEkQ3OjENxSaRSMAHE68smx2GGz2luxoudUXyUnrK2LF61PncucBzz+ku9bVrdaG5dCmQyJ7hFosWLcL8+fNRWlqKadOmoa2tDWvWrMG+fftw44034r777sOQIUNwzDHHIBKJ4JlnnsHgwYOTWTwqKyvx2muv4aSTTkJubi769evXa1379+/Hzp070dbWho8//hi//vWv8cILL+A3v/lNsryxY8fi2Wefxd/+9jf069cP9913H3bt2pUmNisrK/Hee++huroaRUVF6N+/P8aOHYvf/OY3eOWVVzB69Gg89thj+Mc//pG0mBKSEW4GCBn1CNC6qRjMH0FIxnhg2RQixY2eYtk0hGcHLZsA9PRGGzYA8+YBgwbprvMNGyylPbLL3LlzsXTpUqxYsQJHH300pk6dipUrVyZFWnFxMe6++25MnjwZU6ZMQXV1Nf70pz8l04jce++9ePXVVzFixAgcc8wxfdZ1+eWXY8iQITjiiCPwrW99C0VFRfj73/+OGTNmJPf5wQ9+gGOPPRZnnXUWTj31VAwePBjnn39+Wjk33XQTsrKyMH78eJSXl+PTTz/FlVdeia9+9au4+OKLcfzxx2PPnj1pVk5CMsJ1y6aD9VDAWoaWTSKPgBs2PbFsxlJWZKJls2/GjHE16txg1qxZmHWAqJ0xY0aa4EvliiuuSAseOpDp06dj+vTpB60302U0+/fvjxdeeKHPfQ477DC888473bavWLECK1asSNu22INzTHyMZwFC7lZnGb+00ya0bIaVkNzgcvHAsmmISU0DUpdeM9IfdVBsEkJUxu0AoQPqJUpAsekXgm419ANeDGKGm/zAZdcMKycDhAghKhMkN7qLVQQNik0igZC8QWoeWjazD8ilSTc6IcQPxD0IEAJC81jyCxSbIUVjT/QHByZ0N6AbnRDiBzxLfcRnnEpQbIYNJ/p7WPp08o3ZxQM+MKG7QdKyGRw3eqYBL0RdeA1JN7xyozt6K9KPbhaKTUIyxgs3ei+WzeScTf9bNnNycgAAzc3NHreE2MW4hsY1JcT1aHTqQCVh6iNCMsWTAKGEmDwwQCgnOHk2s7KyUFZWhpqaGgBAQUFBcl1vrxBCoLOzE9nZ2Z63xQ8IIdDc3IyamhqUlZUll+YkJFArCNFwbxmKTUIyRiXLZuJzLKYP5j4fyAcPHgwAScHpNUIIxONxRCIRik0TlJWVJa8lIQC8WRs9tV7l8Us77UGxSeQR9IeyF5bNg83ZBHRBeqDl02domoYhQ4agoqICHR0dXjcH8Xgce/bswYABA5Ir+5C+ycnJoUWTdCdIlk2ZY38QTocJ/P2EIhYI2R0uFYUsm5GInuQ9Ftdd7T4XmwZZWVlKCJZ4PI6cnBzk5eVRbBJiB7fXRk/W63J9pE84ihKSKSpZNlO3BSBIiBASUFx3oycrdqEOkikUm4RkihdJ3ZMrCPVg7csJXvojQkjACOIKQsQ0FJuEqEwmlk0mdieEqIpXqY98EyAUDig2iX3C0qndjnIUovc5mwDXRyeEqE+gAoSIVSg2wwb7u3+IpYjIniybOVwfnRCiOFxBiIBiM7yExBgpFbfdM4bFUtP0yPMDoRudEKI6bkejOxkgxOemZSg2iTwC/7LncoBQMjiol7RGAVwfnRASMOhGJ6DYJCRz3E59lAwO6iXvJFMfEUJUx/UAIQ+yhpCDQrFJJBL0N1eXB7FkcFAvlk3DtR6Lu9MeQggxi2eWTapNlaDYJCRTVLNsUmwSQlTHK7HpyDBNAWsVik1CMsVt90xfaY8AfclKAIhTbBJCFMX1FYRcqCfoTjwHoNhUHemRz+wlvsGwWPYUiQ4AxhritGwSQlTFq7XRiVJQbBL7hMWz4HZSd8NiGTmYG53R6IQQRfFqbfSwLDbiEyg2CVEVQ0T2ZtmkG50QojqG5otwbfQwQ7FJJBCSN8jUMcyNt+aDutFTAoT4Fk8IUZFABQgZUNCahWLTMVR/+DvQvsD3P5cPMOlGP4jYBCg2CSFq4pUbXfkVhAL/wEyDYpOQTFHNspkqQhkkRAhREa/WRidKQbEZNtgPbeDyyUuKzT5SHxkDOMUmIUQ1Ul/KmdM91FBs+gWuK+s9bls244kAod7c6ECX1TPOiHRCiGKkic0AuNG71UEyhWKTSCToPTDl+Nx4az6YGx3oEqK0bBJCVCN1nAyEG53mUqtQbIYUqd0xLP0v7aS5YdnMQGxyyUpCiKp4YdlM1u1udaRvKDYJyRTNI8tmRm50ik1CiGIE1Y1OTEOxSYiqHCxACOhaXYiWTUKIaniSks1Y6c2Dqq3gl3bahGIzrITkBncMpwdRIcy50WnZJISoRmraI9ctmw7A56ZlKDZDh4M9MfDxQS4eYKp4zChAiNHohBDFSIpNTyp3sOygP+zkQ7FJJBCi1z1DcDpt2Ux1i2cyZ5NudEKIahjDpBep+0L0WPIDFJuEqEhyqcqDuJ/oRieEqIoX66K7URcNm6ah2Awb7CT2MM6fW5bNSB/BQQDzbBJC1MULsXlg3UQJKDYJMYVLkY7GHMy+5msCXZHqtGwSQlTDE8ume1WRzKHYJPYJ0wukWzncMlk9CKBlkxCiLp4ECDEcXUUoNolEwvBK6ZJlM5O0R6n/ZzQ6IUQ16EYnCSg2CTGDW2NmJqsHAQwQIoSoS9AChKhfLUOxSYgpXEp9lKllk250QoiqMPVR74TBEZgCxSYhZnDdsnmQaHTm2SSEqIqnAUKqq81wQbFJiBlcS+rOaHRCiM/xZM5myEyGPoFik8iDfVwedKMTQvyOl8tVOrpaJR92ZqHYJBIIkbvC9aTujEYnhPgUutFJAorNsME3Mpu4ldTdZOojutEJIarhSYCQS2M0MQXFpuo41WHYEa3h1ltz0o1uYrlK5pUjhKgEVxAiCSg2CTGFy8tVZupGByg2CSFq4WVSdycGaUfG2HCM2xSboUXiDR6OvqKj6nKVqd8hhBAVCGqAEDENxSaRSBj8F4otVxmJdFkNKDYJISqRFJsuSg3GJSgJxSYhZnDbsnkwNzqQEiTEiHRCiEJ4atmkaVMlKDaJPMLwQqm5HY1+kAAhgLk2CSFq4kU0uhtVheFZJxmKTeXh21koiWe4glDqPhSbhBCV4ApCJAHFpl9g/1ED1ZK6A8y1SQhREy9THzk6RvOBbBaKTaegQTKgKJbUHQAiWenfIYQQFfA09RFRCYpN6SjeqRxpXoiUtRsBQkJ0DdJm3Oi0bBJCVMKTACGuIKQiFJshRXFJrDAuDGSpFsqImQAhRqMTQhQiaGujU8BahmIzdDjQ6cPUAd2wbKaKxkgG14sBQoQQFaEbnSSg2CTEFC4MmqkJ3TMZpOlGJ4SoiCepj5z0PoXJsiIXik1CzOBGpKOZSPTU/WjZJISoRNDWRjegodY0FJu+wQd3dyhcJS7O2cwkOAjoSvxOyyYhRCW8FJs0QioFxSYhZnBjzIybWD0IoGWTEKImXkaj+76OYEGxSYgVHHWjJwKEMnWjZzEanRCiIJ5GoxOVoNgMK3QxWMONQTNu1o1OyyYhREG8CBBK1s2HnEpQbBJiBTcChDIVmxFGoxNCFMQTy6aDdTkx7IdEE1Nshg0n+mGY3iDdGDStRqPHQ3QdCCHqwwChPgiXv59ikxAzuJH6yKwb3Uj8LmjZJIQoRFBTHxHTUGwSYgoX52zSskkI8TNBc6Mn63C+iqBBsUmIGVyxbCbKzlhsJhrFOZuEEJXwJPWRUbdvCg0FFJtEHqF423MhqXvSspnhCaVlkxCiIp6mPuJ4qBIUm6EjFIrQOdxM6m7ajU7LJiFEITxJfcRnnIpQbIYWJ976wtDJDcsm3eiEENInjEYnCSg2CTGD0pZNjq6EEIUImhs9WWQYDCtyodhUHeoHNXEj9VHGczZTrK1hynlKCFEbL9dGV30oDJlepdgk9lG9U8vEleUqTbrRtZT9aN0khKgC10YnCSg2wwY7oj3cTOpu1rKZ+l1CCPEaJnUnCUyJzcWLF2PKlCkoLi5GRUUFzj//fHz00Udp+5x66qnQNC3t56qrrpLaaKIaYerUCiZ11yg2CSEK4kk0+gF1OwGNNqYxJTbffPNNXHPNNXj33Xfx6quvoqOjA2eeeSaamprS9rviiiuwY8eO5M/dd98ttdFEUcLQAVVM6q5pDBIihKhHUFcQIqbJNrPzyy+/nPZ55cqVqKioQFVVFU455ZTk9oKCAgwePFhOCwlRCgWTuhv7xsH10Qkh6uBp6iMnBmm+zFvF1pzNuro6AED//v3Ttj/xxBMYOHAgjjrqKCxcuBDNzc12qgk5vLmVwo3VKcy60VP3pWWTEKIKXkSj07CpJKYsm6nE43Fcf/31OOmkk3DUUUclt8+YMQOjRo3C0KFD8cEHH+B73/sePvroIzz33HM9ltPW1oa2trbk5/r6+mT5cRfmn2lCQAMghICQUZ+IIwJAQFZ5IlEepJYHAWnnV0v8xOMi8HMGNaEfq4hLur4J4vE4hBCIx+PQYnH9fOr/yKxdEU3/Tmcs8NfADVKvB1EDXhP1ONg10eLC9FhmG6Fb0aQ901OJJ57HQsLzOC5ZK8D9PmKmHsti85prrsGHH36Iv/71r2nb582bl/z76KOPxpAhQ/ClL30JmzdvxqGHHtqtnMWLF2PRokXdttfW1qK1tdVq8zKmqLkJRQCam1vQUFNju7z8hiaUAmhra8d+CeXltLRjAIBYPIbdEsuLx+PYXVODiBnrWS8M7IwhG8C+ffvQ0RZsK3ZxSwsKATQ1NaFRwvUwiMfjqKurgxACgxNic8++fYg1NWT0/YHxOLIB7N+7B+2tTQfdn/RN6vWQ0UeIfXhN1ONg16Q8FkMWgL1796KzudGVNhU0NqAEQGtrK+okjtFpZbfZLzu7tR0DAcRjcdRKaqfbfaShIbPnE2BRbF577bX4wx/+gLfeegvDhw/vc9/jjz8eALBp06YexebChQtx4403Jj/X19djxIgRKC8vR0lJiZXmmUJr7gT2NKCgIB/5FRX2C4zvBnbuQ25uFBUyymtoAj6tQVYkS2p5kUgEFRUVUm5IbWst0NGJfv37ASVF9tuoMFpDO7C/EYUFBSiQcT0SxONxaJqG8vJyaBu3AwAGlA8EcqOZtWvbHqC9E2UlpUD/UmntCiup14PCRg14TdTjYNdE27wTQBz9BwwACvPdaVQngJo65OXmIlfiGA0A6EiUnZdnv+yGZmBrDSJZETnPdrjfR/Ly8jLe15TYFELg29/+Np5//nm88cYbGD169EG/s3btWgDAkCFDevx/bm4ucnNzu22PRCLuDCiJicuapkGTUV8iwbYGWeVpyV9y26eXJ/McR7SIuXmGfiQi+X5JQdM0RDQtOeUokp2d+fnM0veLAMG/Bi6haZp74xDJCF4T9ej7muhzNiNZWe6NS7KfwWlla/LKjkgsKwU3+4iZOkyJzWuuuQZPPvkkXnzxRRQXF2Pnzp0AgNLSUuTn52Pz5s148skn8f/+3//DgAED8MEHH+CGG27AKaecggkTJpg7CkJUxqnUR7GUOTBmBgtjFSEGCBFCVCHu5QpCDo6FDEIyjSmx+dBDDwHQE7ensmLFCsyaNQvRaBSrVq3C/fffj6amJowYMQIXXHABfvCDH0hrsPKofhOq3j7VcXrQTJ1wbTb10YHfJ4QQL/FybXSiFKbd6H0xYsQIvPnmm7YaRHxMmPq4U5bN1Lx0ZoQtUx8RQlTD0zybvik0FHDiC5FAiDqgW5ZNs/NtkmKTlk1CiAKkvpB74kYnKkGxSYgZnF6u0srqQan7U2wSQlTDVcumscqbA2N0iOwqsqHYJMQUTls2Ta6LbkA3OiFEJWjZzJBwjNkUm4SYIWnZdKh8y250WjYJIQrhldjsaoAHdZLeoNgkxAqOudET5WaZdaPTskkIUYg0selF/R7USXqFYjN0ONDrw9Sp3QoQ0ixaNgUtm4QQBfDMje5CXZ5Yav0NxWZocUIhhqgDOh4gxGh0QoiPiXvsRndqjCaWoNj0DSEScirjuGXTCBCiG50Q4mOMochtoclHpZKYSupOPGDzJuCRB4DaXcBxk4DZs4GxY62X52RHDFMnd9qymcUAIUKIj/EsoXuYHkT+gZZNlVmxApgyGfjDC8DePcAjjwDjxgErV9ovmwYwa7hm2WTqI0KIj/Fy9aDU+okSUGyqysaNwBVXAN+8FHjmD8CDy4Bt24DLLwfmzgU2bfK6heGESd0JIeTgeCU2nayOieItQ7GpKsuXA6WlwN0/A3Lz9G35+cCSJUBJCbBsmbftSyMkvQWA0y4ajQFChJAgkBSbbldsZOZwu16zhMvdT7GpKtXVwMSJQF5e+vb8fGDSJP3/xH0cT+pu0Y2u0Y1OCFEIzwOEOBaqBMWmqlRWAuvWAc0t6dtbWoC1a/X/q0Ko+rTDapNudEJIEPB6zqaTBPCQnIZiU1Vmzwbq6oDvfRdoa9W3tbQA8+cD9fXAnDnetq9HQtADVbVsMkCIEKISXkejcyhUCqY+UpWxY4GlS/VgoBdeAMYeBnyySReaS5cCY8Z43cKQYgxkqiV1p2WTEKIQQQwQcreSQEHLpsrMmgX8owo493yg/wDgyiuBDRv07SoShv7n9DHaDhDi6zwhRAE8CxBKNsCrikkP0LKpOoccCsy7FsjLBY4/2uvWEAPHLJs2VxDi2uiEEBWgG52kQMtm2AjiZG03cTypu103OkdYQogCCIsvznZxMhqdw6tlKDYJMYPjSd3tWjYFV84ghHhPchjyagUhb6rNmJDZfSg2CTGF4pbN1DIIIcQrApn6SHUFqy4Um35Bcn8NUvd3FdeWq7QYIATQlU4I8R7PotH5dFMRik1in1C5bZ22bFp0o2ta1yBLyyYhxGu8jkZ38rlEPWsaik1CzKCqZRNgkBAhRB0CnWeTmIVikxBTOJxWw47YTK6PTssmIcRjvFobnWpTSSg2iTzCMFfG8aTuFperBLiKECFEHbwOEKKDRykoNpXHoR7DjmgTp93oFgZoriJECFEFz93oTubZDIFhRTJcQYjYY+NG4KElwPbPgGMmAFfO09d1Dyqag250IbqGMFo2CSF+xquk7kRJaNkEsGpNMcZPG4xVqySWd/5IueVdPFZOeTL7/YoVwLhxwEvPAfv2AiuW659XrpRYiaI4ECCkpZZpSWzSskkIUQQuV0lSCLXY3LoVqPpXDhY8MhzrN0exYAFQVaVvt1zeuiy9vE9y5ZS3NqKXV51nu7x0bPbEjRuBK64AZs8GXngZ+PlDwEcbgcsvB+bOBTZtktFI9XBy4EwViZbc6MYgS8smIcRjvEp9REOqkoTajV5ZCQAVyc9VVcDkyfrfVgxXenn9JJdXKK08qSxfDpSWAkuWAO9vADo6gfx8/fPvfgcsWwYsXuxxIx3ESctmas5MM0QYjU4IUYTkGOlZok3nyqSgNU2oLZuPP25uu9/L05HUS6qrgYkTgby89D6dnw9MmqT/P4g4aNlMik0rLvTU79GNTgjxGs/mbNKNriKhFpszZgBTpqRvmzJF3265vIkdcss7JiatPKlUVgLr1gEtLenbW1qAtWsNs2xwccKyaXX1IAMGCBFCVMHzaHSiEqEWmx0den+YMgV4+GH9txD6dsvlAZhyeBMe/uEuueV97zPb5Ull9mygrg6YPx9oSwjOlhb9c309MGeOt+1zCkctm4k/aNkkhPiduFcBQgYcB1Ui1HM2o1Fg9WogJ0fvD/Pm6UIuGrVR3kt1yPmkGtqAUsxbNMh+ea80I+ffH0EryMW8xcNslSeVsWOBpUv1YKCnnwEOHQtUb9aF5tKlwJgxXrfQGZLLVTpQtm03Oi2bhBBF8HoFIQenbBLzhNqyCejCzegLmmZfyKlenlRmzQI2bADO+yrQrz8we47+edYsr1vmAg4GCGVZdaMzQIgQogh0o5MUQm3ZJBIYMwa46ttAZwyYchRQkOd1i5zFwaTuyTmbmsV3QI1udEKIIni9XKWjBPGYnCX0lk1CLOFk6iO60Qkhfsdrsel5fkCSCsVm2OALmT2cHDjtpgphgBAhRBW8Sn3khrjlc9Q0FJvEPmHUNk5aNrNo2SSE+ByvLZtEKSg2VSeMQk5lnEx9FLfrRqdlkxCiCF6LTUfc6BxbrUKx6Rskd1j2GXs4vVylFRiNTghRBa/ybNKQqiQUm4SYwdE5m4nfDBAihPgdzyybLozRxDQUm6HDwY4YhjdKB5O6a7IChBiFSQjxmqTY9Kp+j+o1S0jGa4pNIoFwdBYd59Sm7dRHhgWBczYJIV7jWTR6sgHu1kv6hGKTEDO4sVyl5TmbRsJ5utEJIR4TRDc6sQzFJiFWcCRAKPGHVUsALZuEEFXwPBrdycIpaM1CsUkkEoIO6GTqI9srCHHOJiFEEbg2OkmBYtMvyOpATnTEMGobJwSd7QAhWjYJIYrgVeojAydfuiloTUOxGVLYVyzihmVTsxsgxDmbhBCP4ZxNkgLFJiFWkfzmzNRHhJDAQDc6SYFiM7Q4kShSfpHKoXJSdwYIEUJUwavURwfWr3qZIYFikxAzpI6bsi2bcUlzNpn6iBDiNV5HoxOloNgkxBRuzNlk6iNCiM8xhiHX3eg+Ebd+aackKDYJMUOaZVNy2bJSH6WWRQghXuB1NDpRCopNIoGwChvZAUKJP+y60QFGpBNCvEWFACG+dCsDxWbo4FumLVIHTsnjmLTURwAHWUKItzD1EUmBYpPYJ7S6RvKB243eTB3UOW+TEOIlXkejOwmnBpiGYjNsONpHQtAB3bBs2kl9xCAhQojXCEE3OkmDYtMxFL/JFW+eP1Bszmbqd5n+iBCiAkGyAvK5aRmKTeXx0d0doDGlVxy0bEqxBNCySQjxmlSLIudsElBsEmIdmS4aIbqGSKtu9NTv0n1ECPGK1JddL7Wm9HGQ46pVKDYJMYsTb+qpqYrsuNGTlk260QkhHuGpZZOoCMUmIVaR+ZKbagmwZdk05mzyDZwQ4hF0o5MDyPa6AYSksXEjsHw5UF0NVFYCs2cDY8d63ap0NC0xmMp1oyNRomZncDaEKudsEkK8wkux6eQqb8QytGyGkFVrinHkzCOxapXXLTmAFSuAceOARx4Bdu3Sf48bB6xc6XXLekaqZTPh9rabk44BQoQQr1Emx6ZD46DXh+VDKDZDxNatQNX7GhY8Mhzrt+Zj4UINVVX6dlvIcNlu3AhccYVuydy2DXj9df335ZcDc+cCmzbZr0MWyTd1iQOZIQ7tuNCBrrYx9REhxCs8Wz2IqArFpupI1DOVlcDkE3NQ9XEhAOD99zVMnqxv95zly4HSUmDJEiA/X9+Wn69/LikBli3ztn2pOKA1k+LQ7uDMOZuEEK+Jeyg2nUxP11WJUwUHForNEPH44+a2u0p1NTBxIpCXl749Px+YNEn/v3IoaNnknE1CiNfQskkOgGIzRMyYAUw5Lt29OmWKvl0KdgaWykpg3TqgpSV9e0sLsHatIubXBElXtcQy45LmOHHOJiHEa1QRm7I9PBxWLUOxGSI6OvS+MuXwJjx0YzUmTxYQQt/uObNnA3V1wPz5XYKzpUX/XF8PzJnjbft6QuZAFpftRueczR5JXbOZEOIMXopNrwUu6RGmPgoR0Siw+o0Yctash6YBV9w9ErGYhmjU65ZBT2+0dKkeDPTcc7pLfe1aXWguXQqMGeN1C7twYjATsgKE6Ebvka3bgR27gfYOIJoDHDceyOHwR4gjKBONLhuOq1ahZTNkRKNdWknToIbQNJg1C9iwAZg3Dxg0CLjySv3zrFlet6xnVHSjM0CoO0IAn+4A2tr1v9vagf0NXreKkOASVDc6sQxf7YlajBkDLF7sdSv6xpHUR5Ld6FyusovmVl3MZ0WAAWVAzV6goQko7+d1ywgJJl5Go7tBQA/LSWjZJMQqMt+apbnRGSDUjcZm/XdhAVBWrP/d0ORdewgJOsbw45XYDKrI9TEUm36BnUcdnLgW0qLRE12a7qMuDLFZlA8U6zlm0dDMc0SIUyjjRve2etIFxWaYkfGwDeMD24mk7tLd6CG8Lr2RFJsFQGG+bj2OxYCWNm/bRUhQ8VpsJqvlOKgKFJtEHqEzviroRmfqo3SEABoTqbSKCvSHX1GB/pmudEKcwWux6dTDKDnkSyw/JHqYYjNshE4QOoAjSd0T4pBJ3eXS3gF0dup/FyaWQS2m2CTEUVRJfcRhUBkoNgmxisQpBFoyelPScpVhnN7QEw1GcFB+17kpSczbrKfYJMQRkpZNj+qnUUU5KDaJRELSwx1N6i7Lskk3OgCgKUVsGhhBQo3NPE+EOIGQ9PJsG750q4LXdwJxnZAIQjdwYrlKJnWXS2pwkEFeLpCdpZ+j5lZv2kVIkPE8z6YDU51SC+Rj1DSmxObixYsxZcoUFBcXo6KiAueffz4++uijtH1aW1txzTXXYMCAASgqKsIFF1yAXbt2SW00IZ7iYOojIcuNzjmbOqnBQQaaBuTn6n+3trvfJkKCDt3o5ABMPdnefPNNXHPNNXj33Xfx6quvoqOjA2eeeSaamrrmPt1www34/e9/j2eeeQZvvvkmtm/fjq9+9avSG06I5ziS1J1udGkYS1MCXeLSwFintZ1ikxDpeB6NbsCXblUwtVzlyy+/nPZ55cqVqKioQFVVFU455RTU1dVh2bJlePLJJ3HaaacBAFasWIFx48bh3Xffxec//3l5LSfKsGpNMeb/ciSWPKzh9Glet8YFHLFs0o0unc5Y13mI5qT/LzchNtsoNgmRjufR6E650YlVbPns6urqAAD9+/cHAFRVVaGjowOnn356cp8jjjgCI0eOxDvvvGOnKqIgW7cCVWsEFjwyHOu35mPB9yOoqtK3hwKpqY8kTajX6EZP0t6h/87O6p6/NDchPts63G0TIWHAa8umU9U6MqyGY6w2ZdlMJR6P4/rrr8dJJ52Eo446CgCwc+dORKNRlJWVpe07aNAg7Ny5s8dy2tra0NbWtZJHfX19svy4H12BQiCi/4KQ0f54PFGekFoeAMRjcVuDQWVlBPr7ih7dW/W+hsmT9f/FYj68dhmiafpYFo/H5bmr43FoAIQGm/d94v6Lx+XcL36mrV0/F9Gc7ucimq3/r629x/MUj8chhPDnGBRQeE3Uo7drosUS4xkkPQdNosGBMRqABqGXK4T9cg2tAHnnyO0+YqYey2LzmmuuwYcffoi//vWvVosAoAcdLVq0qNv22tpatLb6L1I0r74JZQDa29uxr6bGdnnRplb0B9DZGcMeCeVpsTgGJf6uqa1BJCvLclkPPJCHa68t62H7ftTU+O/aZUr/jg5EoVv22+Jy3LBlbW3IA1Df0IC2LOtvusn7paNDyv3iZ/Lqm/W+CNGtL0ab9fMUa27B7h7OUzweR11dHYQQiNhd1YlIgddEPXq7JkVNTSgC0NzaigYPxqHyeBxZAPbu3YvOppyD7p8pJS2tKADQ1NSEJpvHldXWgXIAIi5QI+kcud1HGhoaMt7Xkti89tpr8Yc//AFvvfUWhg8fntw+ePBgtLe3Y//+/WnWzV27dmHw4ME9lrVw4ULceOONyc/19fUYMWIEysvLUVJSYqV53iL2ADv3IRqNoqKiwn55++qBbbuRnZMtp7zOTmDTdgBARXkFItnWxeZVVwErVwqsWdNlHZ08WeCqq0qgaT68dhmi7dgPtLSjtKQEKO8nqcx9ANpQUlYGraK/9YLqGvX7JStLzv3iZ9r1LBjRwoLu56KlFfjvbmR1xlFRXt7Nwh+Px6FpGsrLyylsFIHXRD16uyZaYzuABhQUFCDfg3FI+2QnEIujf79+6Zko7Ja7vwWoa0JhYREK7R5XcytQvQtaRJM2VrvdR/Ly8jLe15TYFELg29/+Np5//nm88cYbGD16dNr/jzvuOOTk5OC1117DBRdcAAD46KOP8Omnn+KEE07osczc3Fzk5uZ22x6JRPw5oCQeWpoGaDLanyhDg9zy9D81W+dYD+QVmHJ4E+acU4tlb42CgIZYTEsG+waSxKT3iKbZX8s8gUjMcdKybN73CUu1Fhdy7hc/06EvU6lFo93PRZ4+5mjxODQhkuctFU3T/DsOBRReE/Xo65pokYg341DiORyJRKSN0Wnlyhj7E88Rac/2BG72ETN1mBKb11xzDZ588km8+OKLKC4uTs7DLC0tRX5+PkpLSzFnzhzceOON6N+/P0pKSvDtb38bJ5xwQvgi0UMw5zcaBVa/LZDz7npoGjDvpyPQIbKCLTTTkJnU3YjelDOAMRodSbGJaA/DXFaWHjjUGdODhLItzygihByI1wFCyXY4VK7XGZ18iKkR9qGHHgIAnHrqqWnbV6xYgVmzZgEAfv7znyMSieCCCy5AW1sbzjrrLPzqV7+S0liiHtEokh1P07pnmAkkxgDqSDS6pNRHDKLoikbv7abMjQKdLXr6o9TlLAkh9vBabCar5Uu3Kph2ox+MvLw8PPjgg3jwwQctN4oQXyA1qbukPJtMfdTFQcVmDtDUwvRHhMhGlTyb0uG4ahVOfAkdtP/bxsHlKulGl8jBxGaUid0JcQRj+PHcjc5xUBUoNlVH9c6iePMcRUU3upYiNlW/d5wkHk+Zs9mHGx3gkpWEyEbWeGYVXxg2w2X4odgk8ghL30kOoAq60VO/H2axaQhNAMjpZbYQVxEixBm8nrMZmoeRf6DYDDNStEiIBY0Tlk27bvTU5S7DPG8z1YXe2wOP66MT4gyei02jHd5WT7qg2CTELLIjHYXQcz0C8qLRE+WGloPN1wRSxCYtm4RIxWuxyWh05aDYDBv0LthHduqjVFFo27KZcoHDnP6ovY8cmwaGG72zE4iF+FwRIhvPo9GNdjhUrtcWWx9CsUmIZSSNZKnubhmDsyFYadns27KZldV1rhgkRIg8vLZs0qqiHBSbhJhFtmUz1QIpY3BOJnYPsdjsSIjNnD7EpqYxSIgQJ0hGo3tUP7WmclBshhrZYiRkPVyW5TBRjgDkiE2jjFC70TOwbAJdy1R2dva9HyEkczy3bB7QDuI5XBDYL4RMxymN7AE0IQqFrHJlJ3bfuBFYvhyorgYqK4HZs4GxY+WU7RSZik0jLVIHxSYh0lBFbMqG4tUytGwSe4Sw7636Wx7GzzwSq96WtBB8XPJkeplLVq5YAYwbBzzyCLBrl/573Dhg5Ur7ZTsJxSYh3uG12AyayA0AFJtEHgHv31u3AlVVwIL7+mP91nwsWFyMqip9uy0SolDIOn9Jy6ZNN/rGjcAVV+iWzG3bgNdf139ffjkwdy6waZP9tjqFEY3eW0J3A4pNQuTjtdg8sB3Ecyg2CcmQykpg8mSg6t+5AICqD6OYPFnfbgsh2Y2uSQoQWr4cKC0FliwB8vP1bfn5+ueSEmDZMnvlO4UQQCym/52p2OScTULk4XXqo4AbPvwIxWboSE367V0r/Mjjj5vbnjGy1xGWlfqouhqYOBHIy0vfnp8PTJqk/19FDKEJANlZfe9rBAh1xPrejxCSOZ5bNh2ul2LWNBSbxCbhUawzZgBTpqRvmzJF324L2QFCsiyblZXAunVAS0v69pYWYO1aCSZdh+hMCMeIdvAk+Uk3OlMfESIN2S/QVgnP40l5KDbDBt/ILNPRob+wTzm6DQ/fWI0pE9ohhASdouqczdmzgbo6YP78LsHZ0qJ/rq8H5syxV75TGGIzO4NkGzm0bBIiHa8tm44vV8kHqVmY+sg38Ob2mmgUWL0ayNm6C9r23Zh3dTY6RgxHNGqzYEMUyk59ZNeyOXYssHSpHgz03HO6S33tWl1oLl0KjBlju6mOkBSbB3GhA5yzSYgTeC02iXLQskmICaJRQEuIOQ3CvtAEUiybCqY+mjUL2LABmDcPGDQIuPJK/fOsWfbLdgpDOGaZEJsdnYxcJUQWnotNyau8GTgxRIRk2KFlk9gjJB0lDelJ3SWLTdlJ3ceMARYvllOWG5ixbKbu0xk7ePQ6IeTgGEOPV9HoRDlo2STyCJvLRNpylXGsWlOMYy4ag1WrJJQX9uUqzYjNSATISgyDzLVJiBy8tmw6NmczjNYVOfA1nhCzaPJcNFu3Arv/nYUFjwzHhi15WLhQYMAAYOBAYNQoi4XKSn3kV8wECAG6NTPWTrFJiAyE8F5sMsZBOSg2Q01IxYhdJL4169mDBiQ/v/++hsmTE6VbLV5W6iO/YszZzMSyCehis7WdQUKEyMZrbxeD0ZWBbnRCzKLJmxPpSKJ4WamP/ErMhBsdSEnsTrFJiG1SX3ID50YnVqHYDDPshxaR50afMQOYMqE9bZvtRPGht2yaFJtcH50QeQgFxKbjBPW4nINikxCzGOOMBMumniheYMrhTfjFD3Zi8mRhP1E852zqvyk2CXGf1HHHs2h0h1IfEctwziaxSQh7s8S39WgUWP2/u5BTU4OmAcW45vYKxGKavfydspK6+xVDbGaZCBACOGeTEBmo8JLrlMZV4ND8CsVm2AisW8NFJFo2ASCaLQBNz7OpabCfKD70qY9MBghxziYh8kiNRPf8eaOwOvT61LgM3ejEHgr3ZeeQnDQ9OTjLKU56Une/QTc6Id7hedqjFEI6BKoIxabq+KmzqDC4uIHEPJsAkhZImctVrlpTjPHnDpeTJN5PCEGxSYiXxCW/PFshLM8iH0GxKRve5MFHdloNiZaArVuBqg9zsOCR4Vj/SRQLFgBVVfr2UBBLmTpgJqk7QLFJiAyUsmw6tIKQAofmNzhnkxCzSLdsGmuj2y9KTxLfL/m5qgr2k8T7CcOqqWmZR8ImA4Ri+klS4SFJiF9RSWwSZaBlkxDTSJ4TKdGN7kiSeD+RGhyU6fk0LKBCpFtGCSHmUUFsUugqB8UmIWaRHI0uc3CeMQOYMindHWw7SbyfMDtfEwCyIl25SelKJ8QexnjmWY7NFMLgzfEJFJthJhR+VQeQ/dacdKPbL7ejQx9fpxzehIdv2YEpU2A/SbyfsCI2gZR5m2E5UYQ4RFwBy2YSPuNUgXM2CTGLdMtmPL1cG0SjwOo/NyFnw0ZoxfmY9+Mh6OiQkLvTLyTXRTc5tGVnAW3oEquEEGsE2Y2eHPJllh8OQUyxqTzhuBH9hew5m/IsmwAQzdX0JsaFnCTxfsJsQncDY/8YxSYhtlBBbBrw8akMdKP7BVn9VvYAEEZXvOxodCFXbIY6qbtVN7qxPy2bhNhDBbGpgM4l6VBsEmIW2Xk2ZSdB1ig2kWVSbGZRbBIiBRXEZpIQjoGKQrFJiGnUX0FILzeEA61ly2ZKrk1CiHWUEJuSx+heiieZQ7FJ5KDEW6xLKJz6CADd6IC1AKHU7xNCrKFC6qMQPY78AsUmIWZJikLZAUJyigu3G91mgFAn82wSYgtj2FHCAOHQcpXENBSbIYTdxSbSA4Rku9ET5dCNnjmMRidEDkrk2XTYjU5MQ7FJiFVkWA6FkD84h9mNHmM0OiGeosKcTaeqDuGQKguKTULMItuymUC6ZVOI8AlOq3M2GY1OiBxUEJtJVB7/VDg/7kGxSeyhcl92CpmpjxKR6Onl2iR1kA+r2MwyObTRskmIHFQSm44Nfwocm8+g2CTELDIDcFLmVUpP6g6ES2zG413HazbPJlMfESIHJaLRKQZVg8tVhpkwCRGpSHSjO3ENNm0CHnkA2LkDmDwJmDsXGDtWfj2qEUuxElu1bMZi7BeE2CFp2fS2GY4S5GNzCFo2iU1C+GCWmWczNaG7jLfxFSuAI48E/vACsG8vsHQpMG4csHKl/bJVx5iSoGlAxKLYBBiRTogdlIhGT8AXR2Wg2AwjTowBCowrriFzEJXpctq4EbjiCmD2bODZPwI/fwjY/Alw+eW6dXPTJvt1qEzM4nxNQBenxnWlK50Q6yQtmx7KC8eeRxSvVqHY9A1hUnOK48ScTRkD8/LlQGkpsGQJkJevb8vN0z+XlADLltmvQ2UMN7rZ+ZoGDBIixD5KBAjxeakaFJtEEiHs3DLFpgzLZnU1MHEikJeXLojz84FJk/T/Bxk7lk2AYpMQGRjTWbwMEDKQ7UZ3wrAZEmMpxWYoUWAQ8DMy82yKlHmGdqmsBNatA1pa0hO7t7QAa9fq/w8yScsmxSYhnqGCZZOPOOWg2CTELFLzbEq0bM6eDdTVAfPnA+1t+ramZv1zfT0wZ479OlTGEJsRi270LC5ZSYhtVEh9RLWpHEx9ROwREhdAGlItmxKtAGPH6tHnc+cCTz8DHDoW2LIZaKjXt48ZY78OlbHtRmeuTUJso1Q0utcNIAa0bBJiGpkBQoY1TlJXnDUL2LABOP9CoF9/PRJ9wwZ9e9CRFiDUKac9hIQRpdzoDqlNFYS0z6BlU3X4ZqYeMvNsOuFyGjMGuPZ6oLkVmHAY0K9EXtkqwwAhQrxHCTc6UQ1aNsOMTCEbpnFF5trjTrmcIhKtr35BVoAQ52wSYh2Z6dwsI3GqE5ECxSaxSQh7s0xdKNuNbmAM9PEQXR/m2STEe1SwbIbJ+OETKDbDiNPzWQKPRMumU/ObZCae9wt23ehZFJuE2CYuMZ2bXaTn2QzReCoZik1CzJLmRrdZlszUR6mEUmzatWwyGp0Q26gQIOQHQnZ6KDYJMUvaIGHXsumQFSCUczYZIESI5yjhRg+ZkvMBFJtEEiHq3E4ECDll2TRcWmFA2gpCTH1EiGVUsmyG6WVbcSg2iT3C2JedcKPLjtwMo2Uzblg2bQYIMRqdEOuolNTdKQJ8aE5BsRlK2FOkIStAiHM27WPXsmmI1LgIl0WYEJnQjU56gGKTELPIHMicitxMutHDKDZtWjYBztskxCoqWTYdG/4UODafQbFJ5BC2vifLcuiUFSCMbnS7AUKa1vVdik1CrCEcmhpkiRCNf4qjwt1AvIL90D6SAoSE7IE5bEndhbBv2QS60h9x3iYh1lDCje5QuSEZTp2AYpMQKyQtmzbLMVIfcc6mPVLnWFq1bAJMf0SIXZRwo4fN1aY+FJthRGo/DImYORBZqzBxbXQ5xFLEpp2lPw2hGmOAECGWcCp3sBWkD38hGU8dgGJTeXhzK4k0y6bhcpLtRg9ZgFAsZY15Ow+5LKY/IsQWSrnRQzL++QCKTb+gwEtij4S2L0uyHDpl2UyK4ZBY6OwGBxlQbBJiDyXc6EQ1KDZDjUylGLKBxThc22LToTmbYXWj2wkOAoBsutEJsUzqeOOlZROSPE8HKZ5kDsUmIVaQ9dbu1NJuoXOjy7VsarRsEmKeVLHppWWTbnTloNgkxArSLJtcQUgKcZurBxkYltFOWjYJMU3qy60SeTaJKvBuIHIInVtBVlL3lMAWmRjlhUVsynKjJ6PRadkkxDRhcaMT01BsEmIFWdHoTgcI0Y1ujmwGCBFiGeXc6JJJHp7MCsIxRlNshhK+9dlG1pwgp9KEhM2NLs2yaYhNutEJMU1coRybAPiQUweKTUKsIM2yaQzOst3oYRObsgKE6EYnxDIq5NhMJSTDnx+g2AwjiowDgUD1AKF4SCx0si2bDBAixDyq5Nj0un7SDYpNYo+wWM4ORJab2qnUR2G1bNoNtOKcTUKs49R4ZhXp459xfJKLDQEUm4RYQdZgytRHcohJTn1EsUmIeZxafpf4Ht4RhFhBVp5N4dCczdBFo8tOfRQPj1AnRBZ0o5NeoNgkcghd55YQICQELZuykJz6SAOgheXcESILBgiRXjA9Mr/11luYPn06hg4dCk3T8MILL6T9f9asWdA0Le1n2rRpstobYhTpvERH9nJonLNpD1mWzRT3nxYWqzAhsgh66iMnhoSQDDOmxWZTUxMmTpyIBx98sNd9pk2bhh07diR/fvvb39pqJHGKkNzlTiDDcpgaKe5YNHo4rvGqd/IwfuaRWPV2jr2CNC1pHdXCEslPiCxUCRDyuv6M8EMb5ZFt9gtnn302zj777D73yc3NxeDBgy03ihD1keBGd3Id4ZAsV7l1K7B7N7Dgl4Owfms+Fvwohl+PBAYOBEaNslhoVhYQi9OySYhZVBGbBo51YUWOz0eYFpuZ8MYbb6CiogL9+vXDaaedhh//+McYMGBAj/u2tbWhra0t+bm+vh4AEI/HEfejZUHEEQEghICQ0f640MuDpPLQ1U3icWE/D2M8cbyAtPb5AU3Tz2M8Hrd+DmOx5LmLiziEEPLueZG4b+LxQF+XykpDpBcAAKrWZmHyZH1LzOIqQFpWRJ+zGfPpGBRQ4nHJfYTYpts1iSWeB5rm7bhjjH+ynsMJNAh93Bc2xn0DIf/Z6XYfMVOPdLE5bdo0fPWrX8Xo0aOxefNm3HLLLTj77LPxzjvvIKuH+VSLFy/GokWLum2vra1Fa2ur7OY5Tl5dE8oAtLe3Y19Nje3ychta0A9AR0cH9kooDwDK4wJZAPbu2YN4c6OtsrJb2zEQQDweQ62k9vmBfu3tyAVQX1eHVnRaKiPS0YkKANCAmtpa1NXVQQiBiIS0IVntHSiHPojVBPi6PPBAHq69tqyH7ftRU2Nt/Ogv4ogCaG5oQFtNjZTrQewTj8el9hFinwOvSV59s/786+yQ8vyzSn5jI0oBtLW1Yr/EdvTv6EAUQF1dHdpi7bbKSo7/ENLGaLf7SENDQ8b7ShebX//615N/H3300ZgwYQIOPfRQvPHGG/jSl77Ubf+FCxfixhtvTH6ur6/HiBEjUF5ejpKSEtnNc4E9wM59iEajqKiosF9cZD+wfQ9ycnLklAdA27wDiAP9BwxApKjAXmGNzcDWGkQiWdLa5we0mnqguQ0lJSUoqejZan9QWlqBT3YCkQgqKiqgaRrKy8vlDBKtbcCWXdCAQF+Xq64CVq4UWLOmy601ebLAVVeVQNOsjR/arjqgtQNF+QUorqigsFGEeDwut48Q23S7JmIPsGMvorm53o47MQ3YtR+5ktuhbd8LtHagtLQUGFBmr7C2dn38hyatjW73kby8vIz3dcSNnsohhxyCgQMHYtOmTT2KzdzcXOTm5nbbHolE/DmgJObeaZoGTUb7E3NfNEgqD0g4AoCIptk/x8bxAtLa5wsS1yUC2EhgnLi2iXtdS1wPKfd9wougxUWgr0t7OwAITDm8CXPOqcWyt0ZBQEMspiEatVho4txFEtYBX45DAUVqHyFSSLsmxpTNSMTbcSdiPJfkPTfTi4/YT1zv0LPTzT5ipg7Hxea2bduwZ88eDBkyxOmqiCeENIhCkxgg5MRk+tQyhVBnwr5kolFg9RudyPnHemgaMO9no9DRCetCE+jKtckAIULMoVqAUFifTwpiWmw2NjZi06ZNyc9btmzB2rVr0b9/f/Tv3x+LFi3CBRdcgMGDB2Pz5s24+eabMWbMGJx11llSG05s4MQ4oMrY4hYy8mwaqwc5kQA5Eg6xCQDRrHjCPKBBi9iwaBokUh9FGIhCiDmcHNOsQK2pDKbF5po1a/DFL34x+dmYbzlz5kw89NBD+OCDD/Doo49i//79GDp0KM4880zccccdPbrKCfEtUi2bDrg7DrRsBhnjPNpdPcggi5ZNQizB5SpJL5gWm6eeeipEHw+vV155xVaDiF8JW+eWkNTdyaXdUgfbuABsLqyjNEaKI1lzlJJik5ZNQkyh2nKVKq8gpMopcgnOsibECsZAIWMFIafFZuAtm5LFZraxglDAzxshslFtzia7sDJQbBJiBRmDqZMDs6aFZ8lKQ2xKdqNHLCaFJyS0hMaNroiY9hEUm6Em4CLESaRYNg2Xk0PdUMb67X7AMTd6wM8bIbJRzbJJlIFi0y+o2ndD+zyWIOQMi5xTA7PhnhcBt9DJdqNn0Y1OiCWEwy/QZnHqRVvV57HCKHJHEOIzZESjOz2Znm50ayTybDL1ESEmUcaN7m31pDsUm2FGigYJuJDpDRl5Np1MfQTQjW4VutG7E4sBe+uAzk6vW0JURplodKfq55hgFcdXECIhweuxxW2kWDYdToAcCYnYdChASIvH+WiJxYDN24CaPbqoL8wHJh0OZPPRQXpAtTmboe/A6kDLZhhRZSAIAlIChOhGt0VMsmjP7lqzGGF3pVdvB3bUdp3jphbgw008L6RnnJ6HnikyPE89EfCh1En4ekqIFWS4qJ12oxtu5bBYNiW70QEAnTH1rHgbNwLLlwPV1UBlJTB7NjB2rPx62juA7bX634dXAkUFwNoNQF0jsPm/wNhR8usk/ibwbnRiFVo2lSfgQsGvyMyzScumPWS70TUNr75fivEzj8SqVXKKlMaKFcC4ccAjjwC7dum/x40DVq6UX9e2Xfq5LS4ABg3Qxea4Q/T/7dwNdHD+JjkAVQKEDAI+9PkJik0iCUUGF7dROfVRWAKEJFo2t24FqqqABb8ehvVb87Hwh9moqtK3e87GjcAVV+iWzG3bgNdf139ffjkwdy6waZO8ujo6gM9q9L9HDu26l/qX6vM240IXnISkosqcTafc6MQyFJvEHmHty35KfRT0PJsSo9ErK4HJk4H3PyoAALy/NguTJ+vbPWf5cqC0FFiyBMjP17fl5+ufS0qAZcvk1bVrry7iiwqAAaVd2zUNGFah/729NvgvMsQcquXZJMrAO4IQK/gh9RGj0U3z+OPmtrtKdTUwcSKQl5e+PT8fmDRJ/78s9tXrvyv6d7dSVfTX57W2tnXtRwigkBtdgjGgz+K9Pj7/QbFJiBVkuKidTn0UljmbEi2bM2YAU6akb5syRd/uOZWVwLp1QEtL+vaWFmDtWnnm13gcqGvQ/y4r6f7/rCxg8AD97x21cuokwUAVNzpRDopNIofQjS0S3pydtgLQsmmajg79dE0+shUP31iNyRM7IIS+3XNmzwbq6oD587sEZ0uL/rm+HpgzR049Dc26gM/OBorye95nUEJs7q1nGiTShdMv0JnCOZvKoVhOD+Iq7IfWMQYzKXk2HV5BKOiWTYkBQtEosHo1kP3xNkT27Mfc6/IQGzwY0ajtou0zdiywdKkeDPTcc7pLfe1aXWguXQqMGSOnHsM13q+49xehogIgmqOnR6prBPr1YAEl4UMZN3oC2UNf0F/cHYSWTWKTkHY+P6U+CvoAKXm5ymgU0BLro2sirobQNJg1C9iwAZg3Dxg0CLjySv3zrFny6tifEJs9udANNE2PTAeAPXXy6ib+RpU8m6qIXZKEls0wQheDfaRYNh1OfcSk7tZJuOS1WExembIYMwZYvNiZsmMxoL5J/7tfcd/79i/V0x/trQMwwpn2EH+h3JzNgI99PoKWTUIsISNAiG50KRjHJyupe2pZsZDNR6xr1O/L3CiQl9v3voabvaVV/yHE6QwbZgn40OcnFLkjCPEZMvJsOj2/iXk2LSOMJSvDJjYNq2ZZH/M1DbKzgZIi/e+9dKUT0I1OeoViM5RI7IhhfXP0Q+ojRqNbxxCuKrrRnaQpEeVe2EsU+oEYCd8pNgmgXoCQUwT88JyAYpNIImS9T2pSd+bZtEw87sx0hLBaNpua9d+Zik0jiKiuKfgvNeTgqDZnk/ekMlBsqg77ippIXa7S4TmbQR5wU4W0AwFCoRKbsTjQ0qb/XVSQ2XeK8vVzFYt1WUVJeFHGje77CgIHxaZvUPzmVrx5jiEjGp1udOukJhSXeR4NsRkPkRu9OSEWc7L1n0zQtK55m3WNzrSL+AMhFLJsel2/CYI8PqdAsUmIFWRYDelGt09qcJDM8xhGN3rqfE0z57I0ITbrKTZDTepY6LVl00B6UnfJ5YUIis0ww45jHalJ3elGt4wTOTaBcLrRzQYHGdCySYD0ccZryyZzSSsHxaZTBPkBT+QuV8m10a3jRCR6anlhikZvNBkcZFBSqN/Dbe1Aa5v8dhF/EFdIbDpGgMdSh+EKQmFE6jgQ1s4nI0DI4TmbRmLlULjRJZ/DVDe6EPYenhs3AsuXA9XVQGUlMHu2vs65ali1bGZl6QFFDU26dfNgyeBJMFHJsiljfCZSoWWTECvYtWwK0SUC6Ua3jlOWzcQ10QB7Yn3FCmDcOOCRR4Bdu/Tf48YBK1fKaKU82juw6p18jJ95JFa9Y1JsApy3SdKDg7wWm0670b3W0j6EYpPYI8A6pk+Sg6mEE+C4Gz3A8w6dnrMJWHelb9wIXHGFbsnctg14/XX99+WXA3PnAps2yWmrTbZuBapWt2HBI8Oxfms+Fnw/C1VV+vaM4bxNEpaE7sQSFJt+wZH+G1alKAObbhqnUvakErZodJloGuLG+bMaJLR8OVBaCixZAuQnrIX5+frnkhJg2TI5bbVJZSUw+bQiVH1cCACoqgImT9a3Z0yJ/l00tYRrnivpQpUcmwDoRlcPik1CrGDXje7GZHq60W0hjIemVfFUXQ1MnAjk5aVvz88HJk3S/68Ajz9ubnuPRHP0HwBoZHL3UKJMjk3Qza0gFJuhxIGeqMIA4yZ2j9eNyfRhikZ3YN5rl9i0aNmsrATWrQNaDhBfLS3A2rUmTYfOMWMGMOXI1rRtU6bo2zNG04DihHWzoUle44h/MPqiUs8CyWNfsjgJx6jUeXIeik1CrGDbspkyMNOyaR2n3OgARMRm+qPZs4G6OmD+/C7B2dKif66vB+bMkdNQm3R0ACIex5TDm/DwvS2YMkW/ZTo6TBZUnFjikmIznNCNTvqAqY8IsYRNIed0QncgHHM23XCjxy1aNseOBZYu1YOBnntOd6mvXasLzaVLgTFjpLXVDtEcgdUPfIScSAza8Udh3g260IxGTRZEy2a4USlASIEmkHRo2QwzAdYgjqPZfHOOu2AFoGXTFsJugBAAzJoFbNgAzJsHDBoEXHml/nnWLBlNlENHJ6JZMf12yY1C0ywITaBLbLa0AR2dMltI/IAbL9DEt9CySYgV7OZxc8MKEAax6eiczUSZnTajq8eMARYvtt8gp2hJrPqTG7V3HnOy9YTurW26dbN/qZz2EX+gUoCQgfSxzzhGycWGAL6ChBGZHSXIQqYv7Fo2nV49KLXsIF8jQ7SrGI3uF4wlJvMlrPyTdKU32y+L+Aul3OgKtIGkQbFJiCVsCrnkwMw5m7Zw0I0etxuN7hcMy6aMZSYZJBRelLRset0AYkCxSYgVZCxXCXDOpl0cDRAyotEDLjYNy2aelYmaB2BYNhtp2QwdbnhrTBPgsc9nUGwSYgW7b+9xFwbmMIlNJ/NsxulGz5iihGWzrR1oN5s7ifiaMLjRAzyUOg3FJpGDAuOLq8iybDo5MIdhzqbq0eh+QKYbPTurS7TSuhkulMqzmSDAQ5/foNhUHid7C3uidWSlPuKcTVu4EY0e5ACheLzLAilDbAJAEV3poUTFOZtEGSg2iSRCNsDYdVG7sbRbmNzojkajB9iy2dqu/86K6KmLZJAMEqLYDBVuBD1mit3UdJlXQDJEgbuCEB9idzBzcwWh1PqChqPLVYYg9VGqC13Wi48xb7OREemhQik3OperVA2KzTDDjmgdWSsIuTFnEwiu2KRl0x6tEudrGhhis7WdKwmFCaUChHxefgCh2CT2CKiGyRjLAUIuRqMDwRWbMefOYzwMqY/aEm50GWmPDBIrCa1aU4zxR2lYtUpe0URhlJyz6dAKQsQ0FJuhRKXBwKfYFXJuro2eWl/QcDJASAuBG90Qm9EcaUVu3QpUbS3DgkeGY/3HWViwAKiq0reTAONGOjezBHTY8yNcG53YJKS92XaeTRdXEAKCadmMp1gcHY1GD7JlMxGJnivPsllZCQAjkp+rqoDJk/W/g3gbkgQqWTaZZ1M5aNlUHb/c3AqML66SerxWnqBuriCUWl+QSLXWOhkgJES6sA0S7QnLZq48y+bjj5vbTgKCG+nciG/hXRFGwiYMHSFVyFn4uhupj4BgJ3ZPs2zKP48itcwgWjeFcMSyOWMGMOW49PM1ZYq+nQQYFZerDOK451MoNgmxQtp4qqhlEwh2YvfU6FcnRLumBTv9USzWJdij8sRmRwcgtAimjGvGwzdWY8oxMQihbycBRiXLpuOufIUEtU/gnE1CrCArQMjpBMhBTuzuYHBQkkgWEO8MpmXTsGpmZ0lNHRWNAqtXAzkfbYe2dz/mXZ+HjkGDZepZoiJueWuIL1HgFYQQH6LZdKO75XIKhdh08BxmBXjJSiMSXaIL3SAaBbQSPd+m1thMoRkGVLJspuLE2Ec9bRrF7griX0Lc+1RNfQSERGw6OIxlBTgi3bBsSkx7lEZyJSEuWxkKVJqzqUATSDoUm2FGhgAJoIbJCD+kPgICHiDkgiUlyGKz3TnLJgCguFD/3dwaTMswSUelFYSoNpWDYpMQq9ixGjJAyD6uuNGzEnUFUCy1yU97lEY0p8tq2tjiTB1EHVR1o8skiC/tLhHguyJgKPG2SHrEkhvdpcn0gXaju/BwC3JidwfSHnWDrvTwoKobPYhjnw+h2JSNAv2MuERSyFn4rnDJChBoselmgFAAxWa7/KUqu1GcEJsNTc7VQdSAbnTSBxSbxCYBFDGZkhzPFA4QCvScTTcDhILoRqdlk0hEVTd6AIc+P6LYXUFcwZEE2PKLVB5blk260W3jihs9MWczaJbNeBzo6NT/dmrOJgAUJYKEmlqCu+Qn0VHVjU61qQQUm4RYxoaQc8vlFIoAIRcsm0ETSoZVU9OAbAfX9sjNAXIS5TNIKNi4lWFDBZSYKuAvQnBXEOIQxnhjK88m52xaxoU5myKobvTUtEdOPjg1LcWVznmbgcatqUEZYXPRDSIdik1CrGLnIc0VhOzDaHTrJOdrOuhCN+C8zXCgrBudqADFJiFWkWHZZFJ367iZZzNwYtOIRHdhHUkjuXsDxWagUTVAyA+mzSCOzweg2l1BfEsYXyWZ1N1TGI1unXaHl6pMxbBsMkgouAjRNaapNp9R5tAnsyzFTpPTUGwSewRQw2SMnWh0twOEgvjm7OZylUETSUYketTB4CCDvCiQnaXfg02tztdH3Cd1fFHCja5AG0gaFJthJogCxE1s5dnknE3buHEOgzpn003LJoOEgk+q5yTQbvQAjqMuodpdQYh/sGrZTHU5OT0wh2LOppOWzYDO2exIiM0cF8QmwCChoJNq+VfNqhjAoc+PUGwSOSg2vriKHSHHPJvWcdONHrg5my660QEGCQWd1PmaKohNx8dVZ4sPIhSbYURqRwmgiMkUqy7qVCsA3ejW4dro1hDCXTc60CU2G5uDN/+VKJZjk6gIxSYhVrHqRk+1MjJAyDqGaMlyIc+mEMERSZ2dXX/nuGTZzIvqdQlBV3oQibu0/K4VHBn7FDxOxaHYDCXsKFKwGiAkKDal4Eau0lQhGxSxabjQs7PcC+bQtC7rZj2DhAKHW3PQzaCi8A0xCt0ZhPgNm250N+Y3hSJAyOFodOMaBcWV7rYL3aDEmLdJsRk4wuJGD+Aw6hYUm8QeYe58dqLRAXesAIEOEHIhGh0I3rxNtyPRDUqK9N+0bAYPY6lKp1dEs4KyQ1/AhfkBKHhnEH8Sro4DwLob3U0rQBjc6I6njwpYRLrbkegGxYn0R61tXdZVEgxUtGzayYNMpEOxqTpBFAlBwW6AkBtzigItNl1KjB+0XJteudGzs4GCPP1vutKDhYpiM4wGEIWh2AwzAdQfnmBWyAmXRFJqHYEUm4ljcjIaPbX8oIhNr9zoQNe8TbrSg0Vo3OgBHEddQsE7g/iSML5EWs6z6UIUtYGWkronaLg9ZzNON7ptio15m43u102cQ0XLppNudIUO0y9QbBJiFatucOHBnM2gBQilLfnptBs9YJZNr9zoQLplMyippIi7YxrxJRSbYYQTp+VgnEerqY8YIGSdtFWYnA4QCticTS/d6IX5en7PeJzJ3YNEXEU3usU59cQRVLoziC8Jc0+2mfrIjYE5qHM2Uy21rqU+CoAbXQhv3eiaBpQW63/vb3C/fuIMSrvRJRKwYdRNTI/Sb731FqZPn46hQ4dC0zS88MILaf8XQuDWW2/FkCFDkJ+fj9NPPx0bN26U1V5C1MHunE1XLJuJ34ETmylWRqej+oPkRu+Mdd0LXrjRAaAsMW+zjvM2A4OKKwgl4XKVKmD6zmhqasLEiRPx4IMP9vj/u+++G0uWLMHDDz+M9957D4WFhTjrrLPQ2tpqu7FEQQKmYUxhOc+mi+sIB3XOpluR6ECwUh8ZLvQsF5eqPBDDslnX6N5LUDwO1OwBPtsF7K1LXx+e2EfJtdHpRlcJ036Us88+G2effXaP/xNC4P7778cPfvADfPnLXwYA/OY3v8GgQYPwwgsv4Otf/7q91oYZlfow0fHTCkJBtWy6cQ6DFI3upQvdoKhAF7uxmD5v01gz3Sl27gaqtwNt7V3bsrOwavfhmL+wAEuWAKef7mwTgo4WFjc6sYzUkXrLli3YuXMnTk/puaWlpTj++OPxzjvvyKyK2IK9UCqWUx8xQMgybgZZBcmN3u5hcJCBpgGlhivd4Xmbn+4APqrWhWZONjCgDFv3FqLq37lYcLPA+vXAggVAVRWwdauzTQk0SrvRiQpIfb3duXMnAGDQoEFp2wcNGpT834G0tbWhra0t+bm+vh4AEI/HEfdjaoy4QAS6sUvIaL9IlCcklQdAS5jiRFzYP8dC8vH6CC3xE4/HzaVxicf0c6Z1nbN4PA4hJFyPHohArydQ16fTOIcRR44r7XpoEb2uWMz/57CtXT+WnGxvj6WkEJG9dRD7GyCGVmT0FdN95LMaRLZ8BgAQIwZBjBgCZEVQeXS6IKqqAiZP1v+OBeGFwkWMayJiMWhIH9O8pmt8jklLs6VB6GUKk2N+T8TjSWufPs7Yf3F28jnSW32Z4qEvRWfx4sVYtGhRt+21tbW+nOeZV9+MMgDt7e3YV1MjobwmqeUBQP+ODkQB1NXtR7uwt0ZxXp389vmFkrZWFABoamxEk4ljL6xvQDGAlrY21Ce+F4/HUVdXByEEIhKtA9HmVvQHEOvsxO4AXZ9ok35cnfEY9jhwXKnXo6CpVb/HW1p9f48X1dWhCEBLrCN573lBTrwTAwCIffWo2bUrowetmT4SbWpF/227AQCNA4rRWJAD7NE/P/BAHq69tqzbdx54YD9qavz3zPES45qUtAkUAmhsbjE1FjpJeTyOLAB79+xFZ5OcYLRBCQvunj17EMuxJ5+0WByGWa6mpkaa2HTiOdIbDQ2Zeyakis3BgwcDAHbt2oUhQ4Ykt+/atQuTJk3q8TsLFy7EjTfemPxcX1+PESNGoLy8HCUlJTKb5xJ7gR17Ec2JoqIiszf2PhF7gJ37EI1KKg+Atn0v0NqB0tJSaOX9bZYmv31+QatrAeqaUVhYiEIzx94SA1CP/IIC5CW+F4/HoWkaysvL5Q4SdY3Af3cjK5IVrOuztw7YthvZDt13adcjp17v01nZvj+HWn0rgAbklxQn7z1PEAJi+15EOjtRkVsAlBUf9CsZ95GOTmhb1uvVDB6IgjEjUJDyIL/qKmDlSoE1a7q2TZ7YgauuKoGm+fGZ4x3GNcnf3wKgGYXFRebGQgfRtuwCYnH0799fnycsg42fAUJgwIABQF6uvbI6OoFN2wFAH1ckiU1HniO9kJeXl/G+UsXm6NGjMXjwYLz22mtJcVlfX4/33nsP3/rWt3r8Tm5uLnJzu1+0SCTiysmSTqLNmgZoMtqfuAGllQckHAGApkk4x5pxvJq09vmGxPFGUv7ODP3tWMuKpJ0zTdPk3/eJ+YaaEMG6PslUpRHHjit5PbL1YVKLx/1/Djv1ICctmuP9sQwoBXbtQWRfPdC/NKOvZNRHNv9Xn5uanwttzAhoRjaBBO2JOKEpU4A5X6nDskezIdo0xNojiOZn9VAg6QtN06AlLH6RSES5eZsRTZPXpuTUVAnHmfL9SCQibQ6/I8+RXjBTh2mx2djYiE2bNiU/b9myBWvXrkX//v0xcuRIXH/99fjxj3+MsWPHYvTo0fjhD3+IoUOH4vzzzzdbFXEKxgfJwWo0uqsBQgFdG92YK+RK6qMABQh1JKLRbboApdBfF5vYWwccOkJOmbv3A7X79L417pCutFUpRKPA6tV6jJQmijHvi/9GR2M7ovtHAvnlctoRNlQMEFIqDRMxPeKsWbMGX/ziF5OfDRf4zJkzsXLlStx8881oamrCvHnzsH//fpx88sl4+eWXTZlbSU+w46iH3aTuXEHIMm5GoxvXKQgrCCXFpofR6Ab9Ey7r5lagpQ3It+mWjMWBzZ/qfw8f1GdKpWg08YcWgTasHNFPtgGf1QCDB1KkWEHF1EcGARv6/IppsXnqqadC9PHg0jQNP/rRj/CjH/3IVsOIG0johUETMWawKuSEB2ujBzWpuyt5NoOU1F0hy2Z2tp4Cqa5Rt24OsznX7787gdZ2IDcHGDXk4PsbDB6o5+FsagHqG7uSzpPMcTPvrWm4gpAKqHhnEOIP7C5XyTyb1vEkqXvc3+dRCLXEJtA1V3PPfnvltLTpOTUB3SXfg/u8V3KygYpEoORntfbaEVaEi2NapijUFEKxSYh1rK477qZVLvBi08Wk7qn1+pFYyrro2YqIzYH99N/7G7oSzlth83/1Yysr7irTDIZVdfe+riU9SeYo6UZ3cLlKlQ7TJ1BsEjmEsfNZFXJuutFTXf1BEpyuzntNqcPPrnTDqhmJuBNYlQkFefrcSiH0tcutsLdOt4xqGjBmpDXrWlEBUJSvt2N3nbV2hBljTNMUua+AcD6TFEahO4MQn2F1PqQXls2g4aYbPTV1ShDEpioudIPBA/TfO/dY8BLEgU2JoKChFUBhvvV2GBbR3fuslxFWlLRsGgToJdvHUGyGEifcCyoOMg5jec6mYQVwcc4mEDDLpovWYSAl/ZGPI9JVFZvl/fX7tKkFaGwx991tu/T5mjnZQKWJoKCeMMTmvnqgs9NeWWFDZbEpc9gL0hjqMhSbhFjFshvdxYE5VWwGKSLdTeswEIyIdFXFZk42MLBM/3vX7sy/19beFRR0yHD781AL83W3vhDAHrrSTSEUjEb3k1cnBCJWoTuDEJ8RsWghTkaju5hnEwjWgOaVZdPPAUKqik1ATz8EADt3Zx6g88k2XfyXFAKDBshpB13p1nAzw4ZpFB33VDxVDkKxSYhV7LrR3XY5BVJsumXZpBvdUfqV6EE6sTiwdefB99+zH6jZq/9tNSioJwyxubfe39fabdz2NJghQMOen1HwziC+Iswd2bYb3aXgliCmP3L74cYAIXNs3AgsXAhccon+e+PGvvfXNGD0MP3v7TVAa1vv+7a1Axuq9b+HVfS5UpBpivL1pPDxuJ5snmSGmxk2MkVJK2t4odgkxCp+CBBKrSdQczbdtmwGac6mw0tVrlgBjBsHPPIIsGuX/nvcOGDlyr6/169Ez5MphO4iP6BfrVoFnHLKALz2aI0ewFNUoM/VlImm6e0A9EAhkhlKu9EdICzHKRGKTdVRPiFtgASMWeyuIOSWFSCQlk1Go5vGDcvmxo3AFVcAs2cD27YBr7+u/778cmDuXGDTpt6/q2nA6IR4rN2nLyEJYOtWoKrKMJDmYOHPB6BqUyG2Fh7izMtGv8SqRhSbmSFE1yNFSTd6gMY9H6PgnUF8SRhf9KxaDN10owPW13BXGdej0RkglBHLlwOlpcCSJUB+Iudlfr7+uaQEWLas7++XFAJjR+p/f7oD2PQpKiuByZOB99/Xr0HVx4WYPHccKsflOXMMZYm10Zta7K1qFBK01HFFKTe61w0gqVBshpoAiQ8v8EuAEC2b9gmUG91BsVldDUycCOQdIATz84FJk/T/H4yhFV3zNz+rwePf/6TH3R5/3E5D+yCao7voAVo3MyF1WFHKvaxSWwjFJpFECDu23bXR3VrajXM27RPxuRtdiK5E5U6KzcpKYN06oOWA5OwtLcDatfr/M2HEYGD8ocDAMsw4cz+mjGtO+/eUKcCMGTIa3Auct5kxaZZNpcRmggANe36GYjPMsBPaw4rFMHWNclo2reOVG92vls2OlBVxsrOcq2f2bKCuDpg/v0twtrTon+vrgTlzMitH04DyfsCRY9Bx/DEQhQWYPFngrrvqMHmygBCZp+O0RKrYDFK/cYLU8UwlsZlsCq+fCiiYcI0Qn2BVbBq4JTYDOWeT0eimMMRmdpaz52zsWGDpUj0Y6LnndJf62rW60Fy6FBgzxnSR0VwNq1cDWVkCtbUt+M53ihGLaYhG5Tc/SWmR3m/aO4CWVqDAxprrASdp2XTLU+MVQRo/PSDgdwdxnDD3PysiLtWV7bYbPUiDpdsR/ckAIZ+60d3MsTlrFrBhAzBvHjBoEHDllfrnWbMsFxmNdt3GmgZnhSagC3IjfyfzbfaJZgwrKgUHAUiaNgM07PkZWjaVR/ncR+HFkmUzxTLmths9KHM2hfBwBSGfWjbdmK+ZypgxwOLF7tTlFKXFutCsawSGlHvdGnVxO7uGaRwY9/gINY2qdwc5EN7c6mFFbKYmP3Y7qXtQLJteBCREAuJGV3GpSlUpLdJ/1zV42w7F0VRN6K5Yc8IOxSaRQxg7tmbBTePFwBw0sZlqoeXa6JmRnLNJsZkxJQmx2dquL5FJekSDy1NaMoZudJWg2Awjqo0JfsWKe9rt/JBA8MSmF1MR/O5Gp2XTPNlZXfk2VbZuNrcCu/Z4t+BAcs5mmOQEH6Jm4chDbBIQAWMFO9Hobg7MQYtG92IqghGN7tcVhNyesxkUSouAxmZ93mbFAK9bk048Dny6U19pSQh9ic/xDi3h2Qfqu9EDMu75nDC9ihAiF0tzNuPp33WDoAUIefFw871lM+H+pxvdHKWJpStVjEj/qBrYur1r/NmzH/jPJ66/EGlu5w02i7LDnqLnyyEoNgmxip3UR3SjW8eLqQiG2EyNhPcTScumgwndg4gRJNTUkp4Y32uaWoCavfrfR4wGjh6r9/M9+3WXupsoG40ueXwIyvjpEardHcRVZHaecL2lAfCPGz1wYtOLqQgpdfnRuskAIWtEc4D8XP3vhiZv25LK1u3674H9gEEDgP6lQOVQfZvLYjOZZ1NZNzpRAYpN36BozwmIfrFE6uCaqZDzwo2etMD6UCT1hPDAshmJdF0zP4rNzoQbnXM2zWNEpdcr4kpvbtHnZwLAqCFd2405pXWNegS9Wyhr2UwQlJdsn6Po3UGID0jVOhmLTS/d6O5V6SheWDYB/64iJET6cpXEHMZKQvWKWDb/u1P/PaCsK1oeAPKiXW7/2r2uNUfZOZtOvtArdqh+gK+5YSYo4sMrrFg2vXSjByZAyAPrMKBHpHfG/GfZjMe77jtaNnU2bgSWLweqq4HKSmD2bH1d954oSRGbQnjrLo7Hgdr9+t/DB3X/f8UA3bJZswcYMdiVJikrNolS0LJJ5BDGccYvbnTO2ZSDXyPSjUh0TVPX1ekmK1YA48YBjzwC7Nql/x43Dli5suf9iwr08xaL6TktvWRfg96OaE6XFTOV8n76dW5s0YOI3CA5Z1PReyso457PUfTuIMQHWBKbzLNpGy/mbAL+XUWoM8WFrloQh9ts3AhccYVuydy2DXj9df335ZcDc+cCmzZ1/46mAcUJd7XXQUK7E3M1B5b1fC1zsoF+Jfrfe+tcaZKylk3FmhN2KDbDSNgfOLJIPY+Zuqi9EEq0bMoh4lfLJhO6J1m+HCgtBZYsAfLz9W35+frnkhJg2bKev6dCkJAQemojQI9C7w3D4umSMNaUDRBycozlM9Qsqt0dxHcERMBYxayQ83JtdM7ZtIexipDfxGYn0x4lqa4GJk4E8vLSt+fnA5Mm6f/viRIFgoTqGvUXh+ysnl3oBi4HNGlevfxliqxhLyDDp1coencQ4hPMRnp7MTDTsikHv0ajdzDtUZLKSmDdOqDlgPmMLS3A2rX6/3vCEHBNLV1ppNzGcKEPKOv73jfa2tYOtHc43qykZTNLMTnB5SqVQrG7gxCfYXY+JN3o9vF8zqZfLZtMe4TZs4G6OmD+/C7B2dKif66vB+bM6fl7uVH9B/Bu3qYxB3NgWd/7ZWcBBQnLrRvWzdC40QMyfnqEancH8Rth73+W3egMELKMF7lKAf+60Tlns4uxY4GlS/WI9OHDgdNOA4YN0z8vXQqMGdP7d710pbe2Ay1t+t9lxQff37BuuiCMNa/6Y6Y4MewpeqgqQ7FJJBHS3mdabNKyaZvknE2vAoR85kY33L60bOrMmgVs2ADMmwcMGgRceaX+edasvr/nZZDQ/nr9d3FhZnNvS1wUm6paNulGVwq+6hJiB7NCzos0IYELEPLKsulzNzotm12MGQMsXmzuO6kCzu3k7vsb9N+ZWDWBdMumw21VPkCIKAHvDtVxUh/ILDukhk3TQs4LN3rgLJteBQglLINxn4nNDkajS6GoQO9LHZ1Aa5t79QrRZdk0cmgejMJ8/WWsM9blfncIZS2bMBm8SRxFtbuDEH/hBzd60OZsMkDIHJ2MRpdCJNK1Frmb8zZb2oC2Dn2sMayrByO1rQ670rui0RWzOCjWnD4JyNDcFxSboSYEd7jTGAOaH9ZGFz4TSb3hhXUY8O8KQh2MRpeGF/M2DatmSVGXdT0TChNi0+FlK9V3o0t6zsl+XPpJDEtA1buDOInUmzzkgtWs1dCL+YaBm7PpkWUz4tNodM7ZlIcXEenGfM1+Gc7XNDDSH7U4vJ57KN3oIVOKElDt7iDEX1h1o3uxglBQ3OheJ3X3k2UzFu86X5yzaZ+SlOTubtwHQnSJzVKTYjM/ITabnRWbys7ZpB5UCsXuDuI7AqJfLGM1z6abAzPnbMohuYKQjyybhlVT09Rb4cWP5EaBaI7elxqbna+vtU2fBmFmvqZB0rLZ5mjfT7rRlb2/HDh2ClnTqHp3EOIPTKc+8kIoBSwq0+todD+50VPna7q9lnwQSRV9brjS6xJzQ4sLzd/veVG9vULoSeGdQIgu3aWaZdNA2rgXlAHUGxS9OwjxCVbXRnfzwR80y6YXUxEAf0ajc76mfNwMEjLEZmmR+e9qWpd1s9mhIKFUK79qKwjx5UopKDb9gtR+w04oDctJ3Zln0zJeJXWPpLjR/XIuO7h6kHSKUyybTt8HdsQm0DVv06kgodQXL1Utm0QJeHcQOYT1LdIPeTaDJjaTUxE8cqMD/rFudjKhu3SKE8nd2zv0/JdO0d7RJRJLLIrNglz9d7NDid0TL35C09R9Bvhi3PNDG+1BsRlmgn9/O4/lFYSY+sgynlk2U+rzS5BQB93o0snK0lfoAYAG51zpq37fivEzj8SqDwdYv35OR6Qb/UDF4CDZY2xAhk+vUPAOIcRHWLZsuulGT/z2xRt+BniV1D01otsv6Y866UZ3BCNIqE5+kNDWrUBVFbDg9lys35qPBQ8NRVWVvt00Tufa9Gr+tBkCMuz5Hb7uEmIHy3M23bRsRtLr9jteJXUHdKtWLO4jN7ohNjnUS6WkCNhe64hls7LS+CsKAKj6dy4mT9a3mO7Chths79DvBdkvHSpbNpMEZNzzOSrfIcQpFH4J9R1WVxBy0yoXtGh0L5NIR3wWkU7LpjMYls2GZulTKh5/3Nz2PsnO7nLBO+FKV3mpSiefcypbchVFwTuEpKO4QAiKgLGKWRe1JwFCid9BuVaeWjb95kbnuuiOkJerizgHkrvPmAFMOaYzbduUKfp2SzjpSvdiWlDGBCy/sM9R8Q4hrsFeaBszbvTUfZj6yDpeWlP8tooQLZvOoGnpKZAk0tEBiFgcUw5vwsO31WLKFL3rdlgNfM9PWUlINjEPX/yIr+BEHkLsYEbIpQoUro1uDSG6jsMLV5bfVhGKcc6mY5QUAnvrpIvNaBRYvbwaOQ310MaOxLzbdKEZjVosMC/xxTYHVhFS2bKZHB4CMO4FAI5ARA5hfbE1k1YozbLJ1EeW8Mo6bOA3N3oH3eiOYeS+lB0kJASiLY36mFpaBE2zITQBfT13QF9nXTYqz9k04HKVSqDwHUKIDzBl2UzZxwvLJuB/66bXy+MxQIgYGG701nY92lsWTS36/ZWaz9MOeYnE7k6sj660ZTOsFhA1UfAOCQg+f6abJ6Qd24ob3e3VNgIlNj0S7AZ+cqOnLqtJsSmf7BQxKHOddGOJypJCOfd4qhtddv9Ppj5SefyXdMw+Hzq9hmIzlDBKTxqaiXPplcspEiSx6ZFgN/CTG70zpY1ZFJuOUOJAkFBdg/7b6nroB2K40YWQa4EFoKls2TTw+ZAXFBS+QwjxAVai0d12/6ZZNt2tWjpezxHzUzR6atojuhSdwZi3KcuyKUSXZbO0WE6ZmtZl3ZQ9b9Pr/tgnvOdVQsU7hPQIO46SmEmY7tXSbkFyo3sl2A385EbnfE3nKU5J7i6jb7W06dZHTeuymsogGSQked6mypZNJnVXCgXvEOIrfK5dbGMlQMjtgTlIYtPLhO6AP93oFJvOUZCnn994XE5y9/0JF3pJkdxxwqkgoUR/FCrn2fT7mBcQKDYJsYMpN7qHQikouTa9WO4zFT9Fo3NddOfRtC53tyEU7WDM1yyT5EI3SAYJSXajxxS2bBKl4B0SRqRqHZ+LF7tYsmx6KDb9nmvTc8umn9zozLHpCoYw3FdvrxwhugSrdLHplGVT4TmbdHUrhYJ3CPElYe3XVsSmF1a5oFk2PQ8QohudJDCEYV2jvcAxp+ZrAs4ldld5zqaBz4e8oED/iuo42lHYC21jiOyMVhCiG902Xp5DIGXOph8smwmxmcVh3lEK84GcbH21poYm61HkTs3XBLosm0auTVlWP5meho0bgeXLgepqoLISmD0bGDvWfrnS8mzKHjvDZaFR+HWEEB9gybLpxco3ARGbXs/Z9JUbnZZNV9A0oKwYq9YUY/zkPKxaZbEcp+ZrAkBujt6+S8dj1csSrfLJpO42++OKFcC4ccAjjwC7dum/x40DVq60Xma4tJzyUGwSYgc/RKMDwbFsej1n01cBQpyz6QZbtwJVn/bDgkeGY/2mHCxYAFRV6dszRoiuOZ+SxebWrUDVPyNY8D8jsH5rPhbcoplvX2/IGNM2bgSuuEK3ZG7bBrz+uv778suBuXOBTZssFky1qRL0r4QZqbojpB3bjMXQUze60Qafi02hyJzNWEyuO9IJaNl0hcpKAOif/FxVBUyerP+dcXdraNLd8FlZ0udr6u0DgAK9fWuzzLevN2TM2Vy+HCgtBZYsAfLy9G35+frn3/0OWLYMWLzYevl+H/MCAi2bxB5h78e0bLqL15bN1GUfVT+XTH3kCo8/bm57j+yt03/3L5E+PkhpX2/EJPTH6mpg4sQuoWmQnw9MmqT/3woKvweGEYpNQuxgSmx6tIJQap2+T32kiGUTUN+VTsumK8yYAUyZkr5tyhR9e8bsMcRmqbR2GUhpX2/IsGxWVgLr1gEtLenbW1qAtWtTTbMmcWicVdmboTAUm6GEnUUaSbGZwb5eLrUYNMumVwO+pnVdP9VXEeKcTVfo6NC71ZRjOvHwjdWYMq4ZQgh0dGRYQHtH1+pDDojNZPsmdujtO7IVQiDz9vWFjJe/2bOBujpg/vwuwdnSon+urwfmzLHXRp8PeUGB/hVC7OAXN3rQotG9XB4vkgXEO2nZJACAaBRYvRrIyYpAe2cv5k3fjY6jjkA0WpRZAYYLvbgAiOY41779jdDW78a8GS3oOHocolGbBQshJxp97Fhg6VI9GOi553SX+tq1utBcuhQYM8Zauckhwgdjng+aaBdaNv2CzGerE8/psBpLrbjRPXEBB0Rseh0gBPhjffRYvOtccc6m40SjgJYVAfqXQtOAaP3+zL/soAvdIBoFtDxdyGod7faFJgAI0TXs2335mzUL2LABmDcPGDQIuPJK/fOsWfbKBeQJOabZtAVHIWITn4sXu5iZC+llcEtgLJseu9EBfyR2N1zogP0ciCRzBpQBtfuAPfuBQ4YffP/Ozi7L5oAyBxuGrlWE2jrkZFJIXS1JxsvfmDH2os67ETI1pzgchQixg1/c6GbmlqqM1wFCQMqSlSqLzRQXOgMa3GNAqX6+m1uBppaD71+7T7+PCvKAogJn25bqom+XMGEz0RcFoOY9Jr1Jfh88vYVikxA7WHKjM0DIMl6nPgL8sYoQ52t6Q3Z2lzt8R+3B99+5W/89aIDzgk3TugRnmwSxGUvxMqgoNg38PuYFBIpNQuxgxj3t5ZzNoIhNFeZsRnwwZ5M5Nr1jaLn+e+eevu+R5lagvkn/e9AA59sFdLnS29vtl5UYz4SqQlPVdoUUis1QI0F4+Fy72MbMyjwquNF9n2eTls2MiDHtkWf0KwHyc3WhuWtv7/vtSlg1+5d2iUCnyZVo2TTEppd90QtCdriyoNgkkghpD/RLNHpQLJuGWNYUmLOpstikG907NA0YkrBubq/puc91dAI7EmJzsEtWTSAlSCgElk0Dv495AYFiM8ywD9qHczbdRQnLpp/c6BSbnjB4oP5S2dSiBwEdyNbtuuAsyHM+Cj2V5JxNCWIzprjYdKxZih6v4lBsEjmEtf+ZifJmUnf7MBo9MwyxmcU5m56Qkw2MGKT/vXFrurhragE+q9H/HjPS3Xs5OWdTYjS6sipC8kPJ50On1yh7mxDiC1IthgcTcrRs2kcoYNmM+GDOppFnM4eWTc8YOURPZ9QZAzZs0QVeUwuw/hP9/wPL9PmdbuKAG135QByfD3lBQbrYvP3226FpWtrPEUccIbsaYgfVBwc/YeZcejpnM/Hb72IzOWeTbvQ+oRvdeyIRYNxo/cVofwPw7gdA1X90wZmdDRw6wv02pQYI2R0LVA8Q8tNylSHAER/LkUceiVWrVnVVwvQbJKikip64ALL6GHgZjW4fldzoSls2mfpICQrygaPGAls+AxoSaY4GlAJjR/Udgb5xI7B8OVBdDVRWArNn62uI28VYpzIe1++RHBv3h/IBQqq2K5w4MmJnZ2dj8ODByZ+BAwc6UQ1RAp+LF7ukvtXTje48SgQI+cGNbszZpGXTc/qVAMeOA44bD0w4DDhyTN9Cc8UKYNw44JFHgF279N/jxgErV9pvS1ak6wXE7rzNWByr1hTjmK+NQYptST2kDXkCq9YUY/yl46Qd76o1xRg/80isek1OeSrjiNjcuHEjhg4dikMOOQTf+MY38OmnnzpRTUjwuTgIOpoZsamAZdPvYlOFpO7JACGV3ejMs6kcRQW68OzLErhxI3DFFbolc9s24PXX9d+XXw7MnQts2mS/Hbn2I9K3bgWq1mVhwSPDsWFLHhYu1FBVpW9XBolu9K1bgar3NSx4ZDjWb83HggWwdbxbt+rfT5Z3S0S98ycZ6T6W448/HitXrsThhx+OHTt2YNGiRfjCF76ADz/8EMXFxd32b2trQ1tbW/JzfX09ACAejyOucrRnbwiBCAABASGj/fFEeQJyyoNemAZACGH7HGspZUlrn59IXG8AiMdiXUKkh/20eBwagDjQLZI5Ho9LuR69oWn62CvicV9fp77OoUz6vB6apvfJmLrnUuuM6ecpK6J21LwJnO4jKqAtWwaUlkLcfz+Qm6tfu9xc4P77of3ud8DSpRB33mmvjmgOtKYWxFvbLN8blZURAOXJz++/r2HyZP3vmCoWf+NZLOHZpB9vbuJHF4p2jlcvLwKgUC9P0vlzu4+YqUe62Dz77LOTf0+YMAHHH388Ro0ahaeffhpz5szptv/ixYuxaNGibttra2vR2toqu3mOk1ffjDIAHe3t2FtTY7u8gsZGlABobWtFnYTyAKCktRUFABobG9Fis8yipmYUAWhuaUGDpPb5jUHQhdzu2t2I9xb9GxcYnPizds8eiANEaTweR11dHYQQiDhgtStqTlyn5mZfX6eKmC429+zdi1ijc/MR+7oe2S3tGAgg3t6BWhXPpRAYlLBs7t6/D/GmBo8bJAen+4gKlH70ESLjxmFffT2QMLwY9Bs/HvGPPrL9HCiJx1AAoGnvfjRFrImSBx7Iw7XXlvWwfT9qatR4buc3NKIUukFrv81zJvt4nTp/bveRhobMxxbHZ4+XlZXhsMMOw6ZezP8LFy7EjTfemPxcX1+PESNGoLy8HCUlLqeFkIG2D9ixFznRKCoqKuyX1wGgZj/ycvOQK6M8ANjbBDS0oKiwCMU2y9SaOoC9DSjIL0C+rPb5jY2fAXGBgQP6A3m5Pe/TGdP3A1A+qKKbGzgej0PTNJSXlzszSLTGgD0NKMjL9/V10j7aBgAYUD7Q0SX++rweTS3ApzWIAHL6uGxicWgf6/fawEGDAuNKd7yPKIB2+OHAW2+horgYyM/v+kdLC7T//AeYN8/2c0Br6QTqmlCUE0WhxbKuugpY+XAb1nzYNd5Nnixw1VUl0DRFntuxCLBrP3Kjubb76VVXASuXx7Dm/a6+ZOd4r7oKWLlSYM2arikVMs6f230kLy8v430dF5uNjY3YvHkzLr300h7/n5ubi9zc7g/oSCTizwElEbigAdBktN8oT5NUHrqiBzUN9s9xsixNWvt8h6YBEIjoJ7SXnbrm90Wysnqct6VpmnP3faJMafelF6TMN41kZzs+b7PX65GI4NVicTXPZUdn8s9ITnagUp052kdUYM4c4J57oF1/PbBkiS44W1qA66/XLZ1z59q/5xLPW62j03JZ7e0AIDDl8CbM+HojnvhjBQANsZiWDHj3HInPTv1445hyeBPmTN+DZW+OhBDWjzf1/M05pxbL3hoFIen8udlHzNQhXWzedNNNmD59OkaNGoXt27fjtttuQ1ZWFi655BLZVRGiBpmkFUqNovbi4R+EAKHU86tCNLqRyF81MZeaY1O1tpG+GTsWWLpUDwZ67jlg4kRg7VpdaC5dCowZY78OY8nKdusBQtEosPrR/yKnvg71Q/rh2z8sV0toAkhGCEkY8qJRYPVr7chZux5adhbm3T0SHR2wfLzRKLD6bYGcd9dD04B5Px2ODpGt2PmTi3SxuW3bNlxyySXYs2cPysvLcfLJJ+Pdd99FeXn5wb9M/EuYn2mZCDmv80MGIc+mSJlfpkJSd0BP7K5aLkvm2PQ3s2YBJ58MLFum59m88krd4ilDaALpid1tEI3EAE33lGmadeHlGJKHiGi0q0wZx9utvBx75amO9NHof//3f2UXGW6c0AZhFoZOkJHY9HD1ICB4lk0vxWZq3bG4C5ORTMK0R/5nzBhg8WJnyk5aNjvsWeYTUdNxVVcQSiJ5zFP9cBUloBNfggjvcGWJmBGbHl3HIIlNzaOpCAaapnZidy5VSfoi1YSWMr/XNInlWoXq82clJnUn1lH8LiHEB/jBspmJIFYd4bFgT0XlJSspNklfpPpsbSR2N+59dddGl9wuHw+dKkCxGUokdkI/ixdZJMVmH/uoMmfTz9cradlUYNhSeRUhztkkByPVlW4Vv1g2iRLwLiHELqYsm3SjWyYp2BWwpCht2eScTXIQ7AYJCaG+ZdPAz2NegKDYJMQufopG9/PAq5IbPaLwnM0Y3ejkIBih1FbTH6Xc98oGCDnWLEWPV3EoNgmxi6k8m16JTaMdPhabKrrRYyq70Sk2SS/YdaMbLnRA4VyuDrVL1cNVHAVGbZIRTtzgPtYdSpEcbH3gRvfzRRcqudEVtmxyziY5GHbd6MZ9nxVRWGwm8LM3J0BQbBI5qD7gOEkmVkPPLZsBSOrutWBPJRkgpKLYTMzZzKJlk/SCJMum0veYAsME6YJikxC7cM6mOxhtV+HFxg9u9ByFhQDxluScTQmWTWWRt1ylXo6Px04FoJ8l1LDzSMEP0ehByLPptWBPJaJyNDrd6OQg5NpcRcgPlk3ZbNoEPPIAULMTmHwMMHu2vpY9yQgFRm3iOjL1jo+1izQyWkGIlk3bGIJdCcumonM2hWCAEDk4OSkvIlasm36wbGrAqjXFGH/BaKxaZbOsFSuAyccCf3gB2LsXeOQRYNw4YOVKCQ2Vx6pVwCmnDLR/vA6g8J1CiE/wwwpCQRCbQiHLpqpu9Hi86zxRbJLe0LR066ZZFLdsbt0KVK3LwoJHhmP9llwsWABUVenbTbNxI3DFFcCllwHP/AH45SPAtm3A5ZcDc+fqFk+P2bpVP76FCzVs3JiNhQs168frEPSzEJv4WLzIwg9u9ExWOVKduIJzNlULEOpMEb8qiHKiLtEcPRq9rQMoNvld4z5T1LJZWQkAJcnPVVXA5Mn636bft5cvB0pLgZ/dA/z7E338yc8HliwBfvc7YNkyYPFiew22OS7rxwsYbsv339esH69DqHmnEOIn/BQgxGh0OajqRk+dr6mCKCfqYiexe9KNrqZl8/HHzW3vk+pqYOJEIC8vfXt+PjBpkv5/K0jsn1KP1yEoNgmxiy+SugfJja6AiFLVjc75miRT7OTajKlt2ZwxA5hyTGfatilT9O2mqawE1q0DmlvSt7e0AGvXppoVPWPGDP34UrF8vA6h5p1CHEaBh3WQyMRF7bVVLghiU6UVhFSNRue66CRT7OTaNNZFV9Sy2ZEIsp9yeBMeXrgdU6bonzusZHqaPRuoqwNuvgloa9W3tbQA8+cD9fXAnDlS224F43gnTxa46646TJ4srB+vQ3DOZpiRqTvCrF/94EYPQuojldZGV96NrqYIIAphy42utmUzGgVW/7kJORs2QisuwLyfDEVHR9chm2LsWGDpUj0Y6PnngTGHAVs26UJz6VJgzBjp7TdLNAqsXg1kZQnU1rbgO98pRiymWTteh1DzTiHETySFXB/Cg250+zBA6OAwxybJFFvR6GrP2QR0AaYPFQKaZlFoGsyaBax5Hzj3fKD/AODKK4ENG/TtitB1vLB/vA7AEYlIQgEB4BWGgMxozqbXa6PDWhJnFWDqo4NDNzrJlKisOZuKvXAdiKz360MPBeZdq4v0z0+UVGh4UGDUJn3jY0tUWDAEZF9WLq/d6AeKTT/itWBPJdWNrtL5pBudZIohNjs6zVvoFc+zCcCfL9QBhmKTELv4wrKZ8rdK4sgMKrnRU18aVHKlU2ySTMlJSY/V3tn3vgfihxWEZJMcNhUYf3xIiO4UciCaDKupT3WLVCIZzN9TZc4m4N9cmyq60QG1goQ4Z5NkiqalRKSbDBLyg2XTwK8v1wFDgVGbuA5fzORCN7o7eG0dTkXTMnvJcBvO2SRmsJr+qNMHlk3pw4RPx01FUPhOIf6AHdCcZVORACE/opIbHUgJElJIbMboRicmsJLYXQjlUx/pKDJOEAAUm0QWYe7XGc3ZVMAF7Pdcmyq50QE1I9I5Z5OYwYplM3WcC6MbPczPOhsoMmoT4mMO5kYXQg2h5Pdcm8b5VcWyqeIqQpyzScxgJbF76suVypZNRYYJoqPwnUIAOOul9qnmUI6DWTZTRaiX8w19LzYVWhsdUG8VISFo2STmsOJGj6UEO6ry4tcjKrctfFBshhJ2QqkcbM5mmthUwbLpXRNsYYhkFdZGB9Rzo8dTcn5SbJJMsOJG99u8YFnjnV/HTUVQZNQmxMcczI2eGtjipSXAqNuvqY+8DrI6EMOyqUo0umHVTI2UJ6Qvcg03ugWxqbILHUixqcge7xQZf3yG4ncL8Q8h7oCZutG9FklJy6Yi4sgsQjU3umJzNlNd6Eq7N4kyWFlFyAfroqfh03froEGxSezBjpyBG12B4CAgJRrd22ZYJq6YGz2imBudOTaJWVJfTDK1bvrFsindAOLXgVMNVL9bCFGfg7nRYx6vHmTg9wAhWjb7hsFBxCyaZj5IqNMnlk2nhglFhh+/QbEZRthZ5JLqRu9JyCnnRvep2FTlPBqoFo3e6aMlBIk6mA0S8o1lM4Ffx7uA4ZO7hSg/B0vx5jlKqsWyT7FJy6YtVHOjGw/buCpudObYJBYwm2vTN+uiS34o+XTYVAVFRm3iDTJ6D3tgmqWtJ1e6KnM2/R6NTjd633DOJrGCWTd6zAfrogPhNoAoiOJ3CyE+INXq3JOQE4q4f5Pt9KHYTFuFSZGniKpudIpNYgYj/VFbhpZN46UmxycWdOmeHEXGH59BsUmIXVLzGipt2Uz89qNlM/WBoYobXblodIpNYgGzYrPDJ2JT9alnIUORUZsQn9NXRDrnbNpHlSU/U1HOjc45m8QCQRWbTuHI8OPDMdkkFJuEyKCvxO4xxdzovhSbqZZNVcSmaisIcc4msUDqnM1Mxga/iU1pw50Px02FoNgMM4wPkkefbnRFLJsRH4vN5LroHi/5mYpqa6PTjU6sYFg2hegSkn2RFJs5zrVJBrKXq/ThsKkSFJuhxImHtSICwCv6dKOrMmfTx2IzdX15VVDWjU6xSUygaV25NlsP4kpPFaTKWzYVGisIxSYhUujLja5KMnJfi01FzmEqEVWj0VUXAUQ5Mp232ZlixffLS40Ph7sgQrEZRmjYlE8mAUJeJ0H2c55NoYh1OBXDsimE9/M2heCcTWKdTMVmRyIXZ3aWWn2xJ8L+TPr/7d17bFNVHAfwbzvWblO2wcYeoBsbKpNHUEHnRFHj5BFMiBjEiGZAJEFRCFPkYQDBEHwkxpgYjBoBAyGGhIiPqMlm+EOyCMMoIeoYuIgPBorrugfbcPf4R9eu3dptrPf2/k77/SSkrrdZjzs95/x6fuecK4zwTwuRJgZasynl9m7xMLMpMY0O2B9sBr8/g026WkMONnVJoQczub+T1AdphMEmkRmGshtdysymjsGmtAPdAV+d+/+mdqfS/enN4DNfiYYqxb8jfYjBphZLNfz9nb2lIB/2ShQltmQAesxsOjXufKVssupLyiah4M1BnHmhq3W1M5suDYJNs5uBlV/SdeyTr5KwnptiKwE+4bEy0JpNKfcS1nlmU+JudEDOXYS4XpOiEQg2B7k/OtPo5pHWl1mMwSZFR2g7jrkhHerONPqwSbm/fF8SZzaJrlbwzOZA/QPT6DRMDDaJzDDgzKaQNLrOwabUmc0kIccf8dgjioYrubdtdQ0wu6nTzKawriLRMdhMZBrGHGI5B5jh4gah6Ek8+gjo/QJh2J1G58wmRSH4YPeB1m0G1mwKv3sQiSOs5yZtSZtxijVn0JmLfXHNZvQkHn0ECEqjc80mRcl9FcGmTjPoZvd3wrogXTDYJDJDpDS6UoLS6D2POh7qLnU3upS7CPlnNu2ePSd9+ddtDnTLSv+h7lqk0a2KChltDoewnptigm3FfJE2CAX/bHcgoPPMpsRzNoGgmU0paXQNggCSKcXte+zojPwandZsmk3DblMSBpvS6RgYJKJI52wGByF2z2w6NQ42mUYfGNPoFK3UFN/j5QjBpmH0fs51OGczmCl9nob9piAMNonMECmNHjj2yGl/oBQXM5vCuixxu9EZbNIwpfbMbF7uCH/dP6sJ2J+lGQph30sTnbCem2KDrdB0kdLoUtZrAnoHm4bwNDp3o5Pu0npmNju6wh/hFpxCt/uL85DoUMbEIWAEJK3pGLhYIdLRR1KOPQI0DzaFptEHOvIqlrhmk6KVPKL3y1O4VLrO6zXN7POEdUG6YLBpOn4SE1JgPWSENZuSZjZ13I0udoOQlDQ612xSlByOgddt6hZsCusqEp2AEZAoDkTcjS7kjE1A85lN/x2EBPwdg0nYja4U0+hkjoHWbQaCTV0OdDc52tSw25REWM9NMWVm40n0b5ERd6MzjW4K3hs9suD3ZrBJ0Yinmc1gpnZ5wvogTTDY1AU/37JF3I0uKI2u9dFHwtPo4TZUxIp/VtPhkLdbn/Qy0Mym/85CutyqMqSr0LDPizPsmRIapzZNE3E3usSZTXuLMSxS0+hOAWn04PWa0jZQkV4Gmtlsu+x7vCYlduURRceOUw5hPTfFBMcj8w12qLuEmU2m0c0nIY3O9ZpkFv/MZmdX6GdaKaC9Z7YzLTX25RqWoL5Cwy4v3ggYAYnigD8IinT0kYT0ps7BZmBmU1qwKWA3OoNNMkvyiN7PdPBtK7uu+L44Oxy9Aal0wrqKRCdgBCSKA8HBZHAwJzKNrnGwKSFoD5YUNKNt19+1m2dskkkcDiAtzLpNfwo91S2vDQ4Jz9m0m46fGpJEw7jFEsHp3eBUusQ0upbnbApPowP2bRLiGZtkJv+6zfagYLO9J9jUJoWO0CyIhl1evBEwAhLFAWeEoIMzm+aQmkYPrne7UulMo5OZRqb5Hptbep9r6wk8E3ZzEBiwRonBpjbMHGTN/F1sgQB8QVC4mUOJM5s6BptKaBo9+Lghu4NNCV9oSH+Z6b5HT2vvF2cdZzZD8OQVuwnruUlbbH/hd6RLmtnU+pxNofdGB+y/i5A/2NTxsG2S55pU32fJMABvm6+/CMxsahpsatjlxRsGm4mMDdBcTukzmz2POgabUu+NDti/I51rNslMDkfQ7Ka3dyc6oM9OdMCCL6Ya9puCCBgBKT4IDAJiLVw6NTCzKaCp6ZxGl7obHQjdkW4Hrtkks40a6Xts8vbuRE9Lkdn+Yo1D3bDwk0NklnC3rJSURo+HYFNiGt3uuwgF1mwyjU4mGdUzs+ltA/5t9v13msabg3Ts8+IMg00is4Rdsykpjc6jjyxh912EmEYns6W4ff8A4M+Lvsf0a+0rz3CZ+eVUw25TEgEjIGmNDbBX3/ujK9X7jVrSzCag3zd90Wl0u9dsMo1OFsjK8D06ncD1ecC4HHvLQ1pj3iWhaRZwSBfY7d0TdASnVSXMbDr7BJsSU9LhBAftEsts5250pRhskjWKxgEjrwEyRwJul92liY5uX67jEIPNRCRwvI4LfWc2u4OO65EQJOk6sxlcVqbRQwW/J29XSWZKSgJys+wuRXQcsGBORWAfpAEB0y1EcaLvms3gnejigk37inHVgoNNh8Auy9kzo2jHbnT/ek2HQ2YgTmQrC9oEm9mwCOy5SUtsgL2DfXefNLqEFDqg78ymocvMpg1p9OAUuoQvNEQSmdLdadRnCiRkFCR9sQEGRJzZFLKWTtdgM2RmU2BAZWcanes1iSILdBfC+zud+uNhYrCZyOL/8x1b/dZsCpvZBPQ8a9MQfOwRYO9u9ECwyfWaRP3x6CMpBI2CFJYFH3DFnLc1+qZT/cGHU9Csk45nbQYOdBfaXdmaRucZm0SD0qi7i1dCe2/SDwNYuJJ9j11XfI+c2TSH5PuiA/berpJpdKLIhHYZiUjQKEha0ihmsZy7J9js9AebwtZsAnoGm5JvVQn0zlxzzSaRTDr1d3HKsmDznXfewfjx45GSkoLS0lIcO3bMqrcikkGHmU2nhsGm5FtVAkJ2o3PNJlF/Vhx9JLQfEs6SUfDjjz9GZWUltm7diu+//x7Tpk3DnDlzcPHiRSvejkgGV89dNrq6fI/B52xKofXMpqC/YzBbD3Xnmk2iiBgXimFJ7/3mm29ixYoVWLZsGSZNmoR3330XaWlp+PDDD614O7paVjRANuremc1uwzfj1NkV+rwE/nrSKdgUv2aTaXQi0czo73TqMwUyPffS1dWFEydOYOPGjYHnnE4nysvLUVNT0+/1nZ2d6OzsDPzc3NwMAPB4PDDsWHAfLW8znG2tUE4F5fGY8Pu8vt/X6jLn9wFQXi+S2lphtLiAKH+no7UFjrZWGM1eIFVQUGUTR0c7HN0GjIt/w/HPJTja2mB0dQ76dzYMA16vFy6XC06ndTN4jrY2ODo6YTR5AOM/y97HVJ6eNgXDtDYwmKuqj84uX/kcgGpqimmazdHk8bW/trao27J0sWojNHTS68TR1grHlf9gNHuA/7qi+2X+sTjZaVo/5GhrhQOA4fGYcv/5WNeH1+sFAKghBOKmB5v//PMPuru7kZubG/J8bm4ufvnll36v37lzJ7Zt29bv+cLCQrOLRkREREQmamlpQUZGxoCvsX1V+caNG1FZWRn42TAM/Pvvv8jKyoKDC3Et4fV6cf311+P3339Henq63cUhsE6kYX3IwzqRh3UiS6zrQymFlpYWjB07dtDXmh5sZmdnIykpCRcuXAh5/sKFC8jLy+v3erfbDbfbHfJcZmam2cWiMNLT09lBCMM6kYX1IQ/rRB7WiSyxrI/BZjT9TE/qu1wuTJ8+HdXV1YHnDMNAdXU1ysrKzH47IiIiIhLMkjR6ZWUlKioqMGPGDNxxxx1466230NbWhmXLllnxdkREREQklCXB5uLFi/H3339jy5YtaGxsxC233IKvvvqq36Yhsofb7cbWrVv7LV8g+7BOZGF9yMM6kYd1Iovk+nCooexZJyIiIiIaBnkHYxERERFR3GCwSURERESWYbBJRERERJZhsElERERElmGwGadefvllOByOkH8lJSWB6/fdd1+/6ytXrrSxxInhzz//xBNPPIGsrCykpqZi6tSpqK2tDVxXSmHLli3Iz89HamoqysvLUV9fb2OJ49tg9bF06dJ+7WTu3Lk2lji+jR8/vt/f2+FwYNWqVQCAjo4OrFq1CllZWbj22mvxyCOP9LuBCJlrsDrhWBJb3d3d2Lx5M4qKipCamooJEybglVdeCbk/ucRxxPbbVZJ1Jk+ejKqqqsDPI0aEVveKFSuwffv2wM9paWkxK1siampqwsyZM3H//ffjyy+/xJgxY1BfX49Ro0YFXvP666/j7bffxt69e1FUVITNmzdjzpw5+Omnn5CSkmJj6ePPUOoDAObOnYvdu3cHfpZ4rEi8OH78OLq7uwM/nzp1Cg8++CAWLVoEAFi7di2++OILHDx4EBkZGXj22WexcOFCHD161K4ix73B6gTgWBJLr732Gnbt2oW9e/di8uTJqK2txbJly5CRkYHVq1cDEDqOKIpLW7duVdOmTYt4/d5771Vr1qyJWXlIqfXr16u777474nXDMFReXp564403As95PB7ldrvVgQMHYlHEhDJYfSilVEVFhVqwYEFsCkT9rFmzRk2YMEEZhqE8Ho9KTk5WBw8eDFz/+eefFQBVU1NjYykTS3CdKMWxJNbmz5+vli9fHvLcwoUL1ZIlS5RScscRptHjWH19PcaOHYvi4mIsWbIE586dC7m+f/9+ZGdnY8qUKdi4cSPa29ttKmli+PTTTzFjxgwsWrQIOTk5uPXWW/H+++8Hrjc0NKCxsRHl5eWB5zIyMlBaWoqamho7ihzXBqsPvyNHjiAnJwcTJ07E008/jUuXLtlQ2sTT1dWFffv2Yfny5XA4HDhx4gSuXLkS0j5KSkpQUFDA9hEjfevEj2NJ7Nx1112orq7G6dOnAQA//vgjvv32W8ybNw+A3HGEafQ4VVpaij179mDixIk4f/48tm3bhnvuuQenTp3CyJEj8fjjj6OwsBBjx47FyZMnsX79etTV1eHQoUN2Fz1u/frrr9i1axcqKyuxadMmHD9+HKtXr4bL5UJFRQUaGxsBoN+dtnJzcwPXyDyD1QfgS6EvXLgQRUVFOHv2LDZt2oR58+ahpqYGSUlJNv8fxLdPPvkEHo8HS5cuBQA0NjbC5XIhMzMz5HVsH7HTt04AcCyJsQ0bNsDr9aKkpARJSUno7u7Gjh07sGTJEgCQO47YNqdKMdXU1KTS09PVBx98EPZ6dXW1AqDOnDkT45IljuTkZFVWVhby3HPPPafuvPNOpZRSR48eVQDUX3/9FfKaRYsWqUcffTRm5UwUg9VHOGfPnlUAVFVVldXFS3izZ89WDz30UODn/fv3K5fL1e91t99+u3rxxRdjWbSE1bdOwuFYYq0DBw6o6667Th04cECdPHlSffTRR2r06NFqz549Sim54wjT6AkiMzMTN910E86cORP2emlpKQBEvE7Ry8/Px6RJk0Keu/nmmwPLG/Ly8gCg3+7aCxcuBK6ReQarj3CKi4uRnZ3NdmKx3377DVVVVXjqqacCz+Xl5aGrqwsejyfktWwfsRGuTsLhWGKtdevWYcOGDXjssccwdepUPPnkk1i7di127twJQO44wmAzQbS2tuLs2bPIz88Pe/2HH34AgIjXKXozZ85EXV1dyHOnT59GYWEhAKCoqAh5eXmorq4OXPd6vfjuu+9QVlYW07ImgsHqI5w//vgDly5dYjux2O7du5GTk4P58+cHnps+fTqSk5ND2kddXR3OnTvH9hED4eokHI4l1mpvb4fTGRq6JSUlwTAMAILHEdvmVMlSzz//vDpy5IhqaGhQR48eVeXl5So7O1tdvHhRnTlzRm3fvl3V1taqhoYGdfjwYVVcXKxmzZpld7Hj2rFjx9SIESPUjh07VH19vdq/f79KS0tT+/btC7zm1VdfVZmZmerw4cPq5MmTasGCBaqoqEhdvnzZxpLHp8Hqo6WlRb3wwguqpqZGNTQ0qKqqKnXbbbepG2+8UXV0dNhc+vjV3d2tCgoK1Pr16/tdW7lypSooKFDffPONqq2tVWVlZf2WQpD5ItUJx5LYq6ioUOPGjVOff/65amhoUIcOHVLZ2dkhS0kkjiMMNuPU4sWLVX5+vnK5XGrcuHFq8eLFgTU0586dU7NmzVKjR49Wbrdb3XDDDWrdunWqubnZ5lLHv88++0xNmTJFud1uVVJSot57772Q64ZhqM2bN6vc3FzldrvVAw88oOrq6mwqbfwbqD7a29vV7Nmz1ZgxY1RycrIqLCxUK1asUI2NjTaWOP59/fXXCkDYz/3ly5fVM888o0aNGqXS0tLUww8/rM6fP29DKRNLpDrhWBJ7Xq9XrVmzRhUUFKiUlBRVXFysXnrpJdXZ2Rl4jcRxxKFU0LHzREREREQm4ppNIiIiIrIMg00iIiIisgyDTSIiIiKyDINNIiIiIrIMg00iIiIisgyDTSIiIiKyDINNIiIiIrIMg00iIiIisgyDTSIiIiKyDINNIiIiIrIMg00iIiIisgyDTSIiIiKyzP/JBXz9H1hY6QAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "interpolate_all(train, test, .1)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "wpGM4h580mru", + "outputId": "87432f39-5dcf-43e4-f4be-96c54e5c43c7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "\n", + "\n", + "# REGRESSÃO LINEAR" + ], + "metadata": { + "id": "PNIs4RQ2y7Gi" + } + }, + { + "cell_type": "code", + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import stats\n", + "from scipy import interpolate\n", + "\n", + "# Load your DataFrame 'df' here\n", + "df = fat_df\n", + "x = df['X']\n", + "y = df['Y']\n", + "\n", + "# Scatter plot\n", + "plt.figure(figsize=(6, 6))\n", + "plt.scatter(x, y, c='blue', s=10, alpha=1)\n", + "\n", + "# Formatting\n", + "plt.xlabel(\"Weight\")\n", + "plt.ylabel(\"Body Fat\")\n", + "plt.title(\"Scatter Plot of Body Fat Data\")\n", + "\n", + "# Linear regression (least-squares fit)\n", + "slope, intercept, r_value, p_value, std_err = stats.linregress(x, y)\n", + "px = intercept + slope * x\n", + "\n", + "# Plot the linear regression line\n", + "plt.plot(x, px, color='red', label='Linear Regression')\n", + "\n", + "# Add a legend\n", + "plt.legend()\n", + "\n", + "# Show the plot\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "id": "0Ec1cr_UzA12", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "outputId": "4f83452d-ce0e-47de-eb5b-3b6282405b70" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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I7969AahSpQqvvPIKo0ePplGjRnTq1AkfHx+2bt1KSEgIY8aMoWHDhhQpUoSePXsyYMAAbDYbX3/9dbphpW7dusycOZPBgwdTr149AgICaNu2LZUrV6Zw4cJMnjyZQoUKUbBgQRo0aEClSpX47LPPiIyM5I477qB3796UKVOGv//+m9WrVxMYGMiCBQtyu328/fbbREZGEhoaSp8+fZyXhgYFBaWal6Ju3bqAeVnsI488gpeXF23btk33fAovLy/Gjh1L7969adKkCV27dnVeGlqxYkUGDRqUpZqXLFniHGE4deoUM2bMYP/+/bz00ksEBgYC0LZtW5o1a8Yrr7zCn3/+Se3atVm+fDnz5s1j4MCBzpGiOnXq0LVrVyZOnEhsbCwNGzZk5cqVHDhw4Lqv36NHD+eNp0aPHp2l95LigQceYNSoUfTu3ZuGDRvyyy+/MH36dG677bZU293o83UjKT27cuUKJ0+eZNWqVURHR1OhQgXmz5/vPFE2MDCQxo0bM27cOOx2O2XKlGH58uXpjs5d7zMRHh6Ot7c3bdu25emnn+bixYt8+umnlCxZ0jlSKPmEdReSiGTOkiVLjMcff9yoXr26ERAQYHh7extVqlQx+vfvb5w8eTLN9l988YVx9913Gz4+PkaRIkWMJk2aGNHR0c7HN27caNx7772Gn5+fERIS4rzUFDBWr17t3O7ixYtGt27djMKFCxtAqstE582bZ9SsWdMoUKBAmsv4fv75Z6NTp05GsWLFDB8fH6NChQpGly5djJUrVzq3Sbk09J9//slQD1IuO5w1a9YNt0vv0lDDMIwVK1YY9913n+Hn52cEBgYabdu2NX777bc0zx89erRRpkwZw8PDI0OXic6cOdPZ66JFixqPPvqo8ddff6XaJquXhvr6+hp16tQxJk2alOqSW8MwjAsXLhiDBg0yQkJCDC8vL+P222833n777TTbXb582RgwYIBRrFgxo2DBgkbbtm2No0ePprk0NEViYqJRpEgRIygoKNWlrzdys+9RQkKC8cILLxilS5c2/Pz8jPvuu8/YvHmz0aRJE6NJkyaptr3R5+tmPfP29jaCg4ONsLAwY8KECUZcXFya5/z1119Gx44djcKFCxtBQUHGQw89ZBw7dizdflzvMzF//nyjVq1ahq+vr1GxYkVj7NixxhdffJHhy4slb7AZxi3cIUdEJB+4cuUKISEhtG3bNs05DiLyL50zISJyHXPnzuWff/6hR48eVpci4tI0MiEico2YmBh27drF6NGjKV68eI7fTErE3WlkQkTkGpMmTeLZZ5+lZMmSfPXVV1aXI+LyNDIhIiIiWaKRCREREckShQkRERHJkjx/0yqHw8GxY8coVKhQtt+eVkREJC8zDIMLFy4QEhKSZhbmq+X5MHHs2DHKlStndRkiIiJu6+jRo5QtW/a6j+f5MJEy8c/Ro0edt9/NCSlzBoSHh+Pl5ZVjr+Pq1Af1IIX6YFIf1IMU7tiHuLg4ypUrl2oSvfTk+TCRcmgjMDAwx8OEv78/gYGBbvMhyQnqg3qQQn0wqQ/qQQp37sPNThPQCZgiIiKSJQoTIiIikiUKEyIiIpIlef6ciYwwDIMrV66QnJx8y/uw2+0UKFCAhISELO3H3akPOdcDT09PChQooEucRcTl5PswkZSUxPHjx4mPj8/SfgzDIDg4mKNHj+brH/bqQ872wN/fn9KlS+Pt7Z2t+xURyYp8HSYcDgeHDh3C09OTkJAQvL29b/mHv8Ph4OLFiwQEBNzwxh55nfqQMz0wDIOkpCT++ecfDh06xO23355v+ysiridfh4mkpCQcDgflypXD398/S/tyOBwkJSXh6+ubr3/Iqw851wM/Pz+8vLw4fPiwc/8iIq4gf/60v0Z+/aUn7kefVRFxRfrJJCIiIlmiMCEiIiJZojCRB9lsNubOnWt1GfnOiBEjqFOnjtVliIjkOoUJN9SrVy86dOhw3cePHz9OZGRk7hWUSTabzfkVGBhIvXr1mDdvntVlZdmQIUNYuXKl1WWIiOQ6hYk8KDg4GB8fH0trSLkR2PVMnTqV48ePs23bNu677z4efPBBfvnllxytKSkpKUf3HxAQQLFixXL0NUREXJHCxNUMAy5dsubLMLLtbVx9mOPPP//EZrMxe/ZsmjVrhr+/P7Vr12bz5s2pnrNhwwYaNWqEn58f5cqVY8CAAVy6dMn5+Ndff80999xDoUKFCA4Oplu3bpw6dcr5+Jo1a7DZbCxZsoSmTZvi5+fHhg0brltj4cKFCQ4OpmrVqowePZorV66wevVq5+NHjx6lS5cuFC5cmKJFi9K+fXv+/PNP5+NXrlxhwIABFC5cmGLFihEVFUXPnj1Tjdg0bdqUfv36MXDgQIoXL05ERAQAu3fvJjIykoCAAEqVKkX37t05ffq083nff/89d911F35+fhQrVoyWLVs6e7FmzRrq169PwYIFKVy4MPfddx+HDx8G0h7mcDgcjBo1irJly+Lj40OdOnVYunSp8/GMfm9ERFydwsTV4uMhIOCWvjwCAylctiwegYG3to8s3oHzZl555RWGDBnCjh07qFq1Kl27dnWOHBw8eJBWrVrRuXNndu3axcyZM9mwYQP9+vVzPt9utzN69Gh27tzJ3Llz+fPPP+nVq1ea13n55Zd5/fXX+fXXX6lVq9ZN67py5Qqff/45gPOujna7nYiICAoVKsT69evZuHEjAQEBtGrVyjm6MHbsWKZPn87UqVPZuHEjcXFx6Z4n8uWXX+Lt7c3GjRuZPHky58+fp3nz5tx9991s27aNpUuXcvLkSbp06QKYh4i6du3K448/zu+//86aNWvo1KmTc6SlQ4cONGnShF27drF582aeeuqp697o7IMPPuDdd9/lnXfeYdeuXURERNCuXTv279+f4e+NiIhbMPK42NhYAzBiY2PTPHb58mXjt99+My5fvmyuuHjRMMwxgtz/ungxw++pZ8+eRvv27a/7OGDMmTPHMAzDOHTokAEYn332mfPxX3/91QCM33//3TAMw+jTp4/x1FNPpdrH+vXrDQ8Pj397c42tW7cagHHhwgXDMAxj9erVBmDMnj3bOHfunJGcnHzD+nx9fY2CBQsaHh4eBmBUrFjROHPmjGEYhvH1118b1apVMxwOh/M5iYmJhp+fn7Fs2TLDMAyjVKlSxttvv+18/MqVK0b58uVT9aVJkybG3Xffneq1R48ebYSHh6dad/ToUQMw9u7da/z0008GYPz5559p6j5z5owBGGvWrEn3fb3++utG7dq1jeTkZOPcuXNGSEiI8cYbb6Tapl69esZzzz1nGEbGvjfXSvOZdWFJSUnG3LlzjaSkJKtLsZT6oB6kcMc+3Oh36NXy9R0w0/D3h4sXb+mpDoeDuLg4AgMDb+3GQlm8A+fNXD1KULp0aQBOnTpF9erV2blzJ7t27WL69OnObQzDcN5uvEaNGvz000+MGDGCnTt3cu7cORwOBwBHjhyhZs2azufdc889Gapn/PjxtGzZkj/++INBgwbxwQcfULRoUQB27tzJgQMHKFSoUKrnJCQkcPDgQWJjYzl58iT169d3Pubp6UndunWddaWoW7duquWdO3eyevVqAgIC0tR08OBBwsPDadGiBXfddRcRERGEh4fz4IMPUqRIEYoWLUqvXr2IiIggLCyMli1b0qVLF2c/rxYXF8exY8e47777Uq2/77772LlzZ6p1N/reiIhk2EcfQUQE3H57rr+0wsTVbDYoWPDWnutwQHKy+XwXvEuhl5eX8+8pw/Ipv3gvXrzI008/zYABA9I8r3z58ly6dImIiAgiIiKYPn06JUqU4MiRI0RERKQ5qbFgBvsXHBxMlSpVqFKlClOnTqV169b89ttvlCxZkosXL1K3bt1U4SZFiRIlMvye06vn4sWLtG3blrFjx6bZtnTp0nh6ehIdHc2mTZtYvnw5H374Ia+88goxMTFUqlSJqVOnMmDAAJYuXcrMmTN59dVXiY6O5t57781UXVe70fdGROSmDANeew3eeAPKl4dduyAoKFdLcL3fepLr/vOf//Dbb785f7lf/eXt7c2ePXs4c+YMb731Fo0aNaJ69eqpTr7Mqvr161O3bl3eeOMNZz379++nZMmSaeoJCgoiKCiIUqVKsXXrVuc+kpOT2b59e4be66+//krFihXT7DsleNhsNu677z5GjhzJzz//jLe3N3PmzHHu4+6772bYsGFs2rSJO++8kxkzZqR5ncDAQEJCQti4cWOq9Rs3bkw1kiMikiUOBwwcaAYJgL59cz1IgMKE24qNjWXHjh2pvo4ePXpL+4qKimLTpk3069ePHTt2sH//fubNm+c8AbN8+fJ4e3vz4Ycf8scffzB//nxGjx6dnW+HgQMH8sknn/D333/z6KOPUrx4cdq3b8/69es5dOgQa9asYcCAAfz1118A9O/fnzFjxjBv3jz27t3L888/z7lz524662vfvn05e/YsXbt2ZevWrRw8eJBly5bRu3dvkpOTiYmJ4c0332Tbtm0cOXKE2bNn888//1CjRg0OHTrEsGHD2Lx5M4cPH2b58uXs37+fGjVqpPtaQ4YMYezYscycOZO9e/fy0ksvsWPHDp5//vls7Z2I5FPJyfDEE/DBB+bI+sSJMHSoJaXoMIebWrNmDXfffXeqdX369OGzzz7L9L5q1arF2rVreeWVV2jUqBGGYVC5cmUefvhhwDy0MG3aNF5++WU++OAD/vOf//DOO+/Qrl27bHkvAK1ataJSpUq88cYbTJw4kXXr1hEVFUWnTp24cOECZcqUoUWLFgQGBgJmADpx4gQ9evTA09OTp556ioiICDw9PW/4OimjBVFRUYSHh5OYmEiFChVo1aoVHh4eBAYGsm7dOt5//33i4uKoUKEC7777LpGRkZw8eZI9e/bw5ZdfcubMGUqXLk3fvn15+umn032t/v37ExcXxwsvvMCpU6eoWbMm8+fP53YLjmeKSB6TlASPPQazZoGnJ0ybZi5bxGYY2XiDAxcUFxdHUFAQsbGxzl9EKRISEjh06BCVKlXK8nTOWT4BM4+wqg8Oh4MaNWrQpUuXbB81uZVacqoH2fmZzWl2u53FixfTunXrVOeF5Dfqg3qQItv6cPkydO4MS5aAtzd89x107Jh9hV7lRr9Dr6aRCXFLKYcZmjRpQmJiIh999BGHDh2iW7duVpcmIpJzLlyAtm1h7Vrw84O5cyE83OqqFCbEPXl4eDBt2jSGDBmCYRjceeedrFix4rrnL4iIuL2zZyEyEn78EQIDYdEiuP9+q6sCFCbETZUrVy7NlRIiInnWiRMQFga7d0OxYrB8OfznP1ZX5aQwISIi4soOH4aWLeHAAShdGlasABe7xFxhAvNujyLuQJ9VkXxm3z4zSBw9ChUrwsqVcNttVleVRv697IB/7zwYn8OTbIlkl5TPan4+I14k39i1Cxo3NoNE9eqwYYNLBgnI5yMTnp6eFC5c2Hk3R39//5ve9Oh6HA4HSUlJJCQk5PtLQ/N7H3KiB4ZhEB8fz6lTpyhcuPBN76chIm4uJsY82fLcOahTB5Ytg5Ilra7quvJ1mABzjgggy7eHNgyDy5cv4+fnd8uBJC9QH3K2B4ULF3Z+ZkUkj1qzxrz88+JFCA2FxYuhcGGrq7qhfB8mbDYbpUuXpmTJktjt9lvej91uZ926dTRu3DhfD0GrDznXAy8vL41IiOR1ixebN6RKSIAWLcz7SKQzy7GryfdhIoWnp2eWflB7enpy5coVfH198+0vUVAfQD0QkVs0axZ06wZXrkC7djBzJrj4nW5T5M+D2iIiIq7kiy/gkUfMINGtG3z/vdsECVCYEBERsdYHH0CfPuZ04k89BV99BW42qqkwISIiYgXDgDfegOefN5dfeAEmTzZnAXUzChMiIiK5zTDgpZfg1VfN5ZEj4e23wU2vgtMJmCIiIrnJ4YDnnjNHIQDeew8GDbK2pixSmBAREckltuRkPB9/HGbMMEchpkyBJ56wuqwsU5gQERHJDYmJ3PP223hs2QIFCsDXX5tXcOQBChMiIiI57dIlPDt2JGTLFgwfH2yzZpl3ucwjFCZERERyUmwstGmDx8aNXPH1hXnzKBAebnVV2UpXc4iIiOSU06eheXPYuBGjcGE2jRyJ0ayZ1VVlO41MiIiI5IRjxyAsDH77DUqU4MqiRZw7dszqqnKERiZERESy26FD0KiRGSTKloX1682pxPMohQkREZHstGePGST++AMqVzaDRLVqVleVoywNE5MmTaJWrVoEBgYSGBhIaGgoS5YscT7etGlTbDZbqq9nnnnGwopFRERu4OefzSDx999wxx1mkKhY0eqqcpyl50yULVuWt956i9tvvx3DMPjyyy9p3749P//8M3fccQcATz75JKNGjXI+x9/f36pyRURErm/TJmjd2rx6o25dWLoUihe3uqpcYWmYaHvNNbZvvPEGkyZNYsuWLc4w4e/vT3BwsBXliYiIZMyKFdC+PcTHmyMTCxdCYKDVVeUal7maIzk5mVmzZnHp0iVCQ0Od66dPn84333xDcHAwbdu25bXXXrvh6ERiYiKJiYnO5bi4OADsdjt2uz3H6k/Zd06+hjtQH9SDFOqDSX3IeA+2bYMDB6BKFbjnntyoLHvYFizAs2tXbElJOMLDSf7f/8DPD655v+74WchorTbDMIwcruWGfvnlF0JDQ0lISCAgIIAZM2bQunVrAKZMmUKFChUICQlh165dREVFUb9+fWbPnn3d/Y0YMYKRI0emWT9jxgwdIhERkWxVZt06/vP++3g4HBy7915+euEFHF5eVpeVbeLj4+nWrRuxsbEE3mCkxfIwkZSUxJEjR4iNjeX777/ns88+Y+3atdSsWTPNtqtWraJFixYcOHCAypUrp7u/9EYmypUrx+nTp2/YiKyy2+1ER0cTFhaGVx76IGWW+qAepFAfTOrDzXuwbRu0aJH2eStXuvYIhe2zz/Ds2xebYeB47DGSp0wx59y4Dnf8LMTFxVG8ePGbhgnLD3N4e3tTpUoVAOrWrcvWrVuZMGECn3zySZptGzRoAHDDMOHj44OPj0+a9V5eXrnyzcut13F16oN6kEJ9MKkP1+/BgQNw+XLa7Q8cgKuOeruWd9+FIUPMv/fti8cHH+DhkbELJN3ps5DROl3uPhMOhyPVyMLVduzYAUDp0qVzsSIREclJVatmbr2lDANGjPg3SLz0Enz4IWQwSORVlo5MDBs2jMjISMqXL8+FCxeYMWMGa9asYdmyZRw8eNB5/kSxYsXYtWsXgwYNonHjxtSqVcvKskVEJBs1aABDh8K4cf+ui4oy17sUw4AXXoDx483lN9+EYcOsrclFWBomTp06RY8ePTh+/DhBQUHUqlWLZcuWERYWxtGjR1mxYgXvv/8+ly5doly5cnTu3JlXX33VypJFRCQHjB0LnTrBvn3miITLBYnkZHjmGfjsM3P5ww+hXz9ra3IhloaJzz///LqPlStXjrVr1+ZiNSIiYqUGDVwwRIB5iWf37jBzpnk444svoGdPq6tyKZafgCkiIuKyEhLgoYfMm1B5ecGMGfDgg1ZX5XIUJkRERNJz8aJ5V8tVq8DXF2bPhshIq6tySQoTIiIi1zp3zpxnY8sWKFTIHJlo3NjqqlyWwoSIiMjVTp2C8HDYuROKFjUn7KpXz+qqXJrChIiISIqjR6FlS/OyklKlzAm87rzT6qpcXv6+y4aIiEiKAwfMGT/37YPy5WH9egWJDFKYEBER2b3bDBKHD5s3utiwAW6/3eqq3IbChIiI5G/btkGTJnDiBNSqBevWQblyVlflVhQmREQk/1q/Hpo3h7NnzTtmrV5tnishmaIwISIi+dPSpRARARcuQLNmEB1tXr0hmaYwISIi+c8PP0C7dubc523awKJF5v0k5JYoTIiISP7y1VfQpYs550aXLuadLf38rK7KrSlMiIhI/jFxojlJl8MBjz9uzrXh7W11VW5PYUJERPKHt96Cvn3Nvz//PHz6KXh6WltTHqEwISIieZthwMsvw7Bh5vJrr8H48eZ04pItdDttERHJuxwOcxTio4/M5XHj4MUXra0pD1KYEBGRPCEmxrwTdtWq5i0juHIFnnwSpk0Dmw0mTYKnn7a6zDxJYUJERNxeVJQ56JBi2AtJvHn4Ufj+e/O8iC+/hEcfta7APE5hQkRE3FpMTOog4Uc8jd7tDCw1r9SYORM6dLCqvHxBYUJERNzavn3//r0QcSygLU1YxxVvfwosnAthYZbVll8oTIiIiFurWtX8syhnWEIk9dlKLIH89eFi7gi7z9riclGac0Zyka6LERERt9agAYx+7jhraEp9tvIPxfmy52rueCr/BImoKLj3XujRw/wzKip3X19hQkRE3Nvhw7y6vDF3sZv4IiEc+3YdA6b9x+qqcs2154yAuRwTk3s1KEyIiIj72rcP7r8fDhyASpXw37ae2o/UsLqqXHX1OSMZWZ8TFCZERMQ97dwJjRrBX39BjRqwfj3cdpvVVeW6lHNGMro+JyhMiIiI+9myBZo2hVOn4O67Ye1aKFPG6qos0aABDB2ael1UVO6ehKmrOURExL2sXg1t28KlS3DffbBwIRQubHVVlho7Fjp1su5qDoUJERFxH4sWQefOkJgILVvC3LlQsKDVVbmEBg1yP0Sk0GEOERFxDyl3skxMhPbtYcECBQkXoTAhIiKu7/PPoWtXc/KuRx+FWbPA19fqquT/KUyIiIhre/99eOIJMAxz1s+vvgIvL6urkqsoTIiIiGsyDBg9GgYNMpeHDDGnEffQry5XoxMwRUTchJVzL+Q6wzCvd3znHXN59Gh45RWw2aytS9KleCci4gasnnshVyUnw7PP/hskxo+HV19VkHBhChMiIi7OFeZeyDV2u5mYPvnEDA+ffQYDB1pdldyEwoSIiItzhbkXckVCAjz0EMyYAQUKwLffQp8+VlclGaBzJkREXJwrzL2Q4y5dMu8hsWIF+PjADz9AmzZWVyUZpJEJEREX5wpzL+So8+chPNwMEgULwpIlChJuRiMTIiJuwOq5F3LMP/9ARAT8/LM5v8aSJeYZpuJWFCZERNyElXMv5Ii//zbn19izB0qWhOhoqFXL6qrkFihMiIhI7vvjDzNIHDoEZcuahziqVbO6KrlFOmdCRERy12+/QaNGZpCoXBk2bFCQcHMKEyIiknu2b4cmTeDYMbjzTli/HipUsLoqySId5hARkQzJ6u28bZs2Qbt2EBcH99wDS5dCsWLZX6jkOktHJiZNmkStWrUIDAwkMDCQ0NBQlixZ4nw8ISGBvn37UqxYMQICAujcuTMnT560sGIRkfwpq7fzLrFjB56tW5tBonFjWLlSQSIPsTRMlC1blrfeeouffvqJbdu20bx5c9q3b8+vv/4KwKBBg1iwYAGzZs1i7dq1HDt2jE6dOllZsohIvpPV23nb5s2jwX//iy0+Hlq1Mi//DAzM/kLFMpYe5mjbtm2q5TfeeINJkyaxZcsWypYty+eff86MGTNo3rw5AFOnTqVGjRps2bKFe3UdsohIrrjR7bxverjjm2/w7NULW3Iyjo4d8fjuO/D2zvYa3VFemgXWZc6ZSE5OZtasWVy6dInQ0FB++ukn7HY7LVu2dG5TvXp1ypcvz+bNm68bJhITE0lMTHQux8XFAWC327Hb7TlWf8q+c/I13IH6oB6kUB9MeaEPVaqAn1/662/0tjymTMGjf39shsGRZs0oPm0aXjbbjZ+Uh139WXj9dXj//X8fGzgQRo60pKwbyujn1mYYhpHDtdzQL7/8QmhoKAkJCQQEBDBjxgxat27NjBkz6N27d6pgAFC/fn2aNWvG2LFj093fiBEjGJnOd2TGjBn4+/vnyHsQEZHUqsyZwx1ffgnAH61b88sTT4CHLiB0N/Hx8XTr1o3Y2FgCb3BoyvKRiWrVqrFjxw5iY2P5/vvv6dmzJ2vXrr3l/Q0bNozBgwc7l+Pi4ihXrhzh4eE3bERW2e12oqOjCQsLw8vLK8dex9WpD+pBCvXBlJf6sG0bHDhgjkjcc891NjIMPEaMwPP/g0Ty0KEEDx/OLytW5IkeZEXKZyEuLoynn07bh08+gUcesaCwG0gZ3b8Zy8OEt7c3VapUAaBu3bps3bqVCRMm8PDDD5OUlMT58+cpXLiwc/uTJ08SHBx83f35+Pjg4+OTZr2Xl1eufIhz63VcnfqgHqRQH0x5oQ+hoebXdTkcMHgwTJhgLo8Zg+dLL+H1/0PleaEH2aFKFS8uX07bh6pVwdXak9Hvl8uNOTkcDhITE6lbty5eXl6sXLnS+djevXs5cuQIoTf8NIuISK5LToYnn/w3SHz0Ebz0krU1uah77sl7s8BaOjIxbNgwIiMjKV++PBcuXGDGjBmsWbOGZcuWERQURJ8+fRg8eDBFixYlMDCQ/v37Exoaqis5RERcSVISdO8O//ufeV7EF19Az55WV+XS8tossJaGiVOnTtGjRw+OHz9OUFAQtWrVYtmyZYSFhQEwfvx4PDw86Ny5M4mJiURERDBx4kQrSxYRkatdvgwPPQSLFplj9N9+C507W12VW8hLs8BaGiY+//zzGz7u6+vLxx9/zMcff5xLFYmISIZduGDeHnvNGvPa0dmzzZtSSb5j+QmYIiLihs6ehchI+PFHKFQIFi40b5Mt+ZLChIiIZM7JkxAeDrt2QdGisGzZDa4VlfxAYUJERDLuyBFo2RL274fgYIiONqcSl3xNYUJERDJm/34zSBw5AhUqwIoV5h2sJN9zuftMiIiIC9q9Gxo1MoNE1aqwfr2ChDgpTIiIyI1t3QpNmpjnStSuDevWQblyVlclLkRhQkRErm/tWmje3Lx6o0EDWL0aSpWyuipxMQoTIiKSviVLzPtGXLwIzZqZJ1sWKWJ1VeKCFCZERCSt77+H9u0hIQEeeAAWLzbvJyGSDoUJERFJbdo0ePhhsNvNP2fPBl9fq6sSF6YwISIi//roI+jd25xOvE8fmD7d9ebFFpejMCEiIqYxY6B/f/PvAwfCp5+Cp6elJYl70E2rRERyUUyMC047bRjw8svw1lvm8vDhMGIE2GyWliXuQyMTIiK5JCoK7r0XevQw/4yKsroizMMZ/fr9GyTefhtGjlSQkExRmBARyQXbtsG4canXjRtnjlRY5soV8/yIiRPN8PDJJzBkiIUFibtSmBARyQUHDqS/ft++3K3DKTHRvFLjq6/M8yK++QaeesqiYsTd6ZwJEZFccL1pLKpWzd06AIiPh06dzKnDvb3hf/8z7ykhcos0MiEikgvuuQeGDk29LirKgpMwY2PNu1ouWwb+/rBokYKEZJlGJkREcsnYseaAgGVXc5w5AxER8NNPEBRk3tWyYcNcLkLyIoUJEZFc1KCBRZeEHj8OYWHw669QvDgsXw53321BIZIXKUyIiOR1f/4JLVvCwYMQEgIrVkCNGlZXJXmIwoSISF62d68ZJP76CypVgpUrzT9FspFOwBQRyat27IBGjcwgUaMGrF+vICE5QmFCRCQv2rwZmjWDf/6B//wH1q2DMmWsrkryKIUJEZG8ZuVK82TL8+fhvvtg1SrzpEuRHKIwISKSlyxYAG3awKVLZqBYtsy8DFQkBylMiIjkFd99Z97IIjEROnQwg0XBglZXJfmAwoSISF7w2WfQrZs5eddjj8GsWeDjY3VVkk8oTIiIuLvx4+HJJ8Ew4Jln4MsvoYCu/JfcozAhIuKuDANGjoTBg83lF180pxP30I92yV2KriIi7sgwzPDw7rvm8n//Cy+/DDabtXVJvqQwISLibpKT4dln4dNPzeX334fnn7e0JMnfFCZERNyJ3Q49e8K335qHMz79FB5/3OqqJJ9TmBARcRcJCfDwwzB/vnmC5fTp0KWL1VWJKEyIiLiFixfNe0esXAm+vvD99+bNqURcgMKEiIirO38eWrc259sICDBvRtW0qdVViTgpTIiIuLJTpyAiwpwBtEgRWLIEGjSwuiqRVBQmRERc1V9/mfNr7NkDJUtCdDTUqmV1VSJpKEyIiLiigwehZUv4808oVw5WrICqVa2uSiRduk2aiIir+e03aNTIDBJVqsD69QoS4tIUJkREXMlPP0HjxnD8ONx5pxkkKlSwuiqRG1KYEBFxFRs2QPPmcOYM1KsHa9dCcLDVVYnclMKEiIgrWL4cwsMhLs4cmVixAooWtboqkQxRmBARsdqcOdC2LVy+DJGR5uWfgYFWVyWSYQoTIiJW+uYbeOghSEqCBx+EuXPB39/qqkQyxdIwMWbMGOrVq0ehQoUoWbIkHTp0YO/evam2adq0KTabLdXXM888Y1HFIiLZaNIk6N7dnAW0Vy9z8i5vb6urEsk0S8PE2rVr6du3L1u2bCE6Ohq73U54eDiXLl1Ktd2TTz7J8ePHnV/jxo2zqGIRkWwybhw895z59/794fPPzcm7RNyQpZ/cpUuXplqeNm0aJUuW5KeffqJx48bO9f7+/gTrjGYRyQsMA157Dd54w1x+5RUYPRpsNmvrEskCl4rBsbGxABS95gzm6dOn88033xAcHEzbtm157bXX8L/OMcXExEQSExOdy3FxcQDY7XbsdnsOVY5z3zn5Gu5AfVAPUqgPplR9cDjwGDIEz48+AiD5jTdwvPgiXLliZYk5Tp8Fkzv2IaO12gzDMHK4lgxxOBy0a9eO8+fPs2HDBuf6KVOmUKFCBUJCQti1axdRUVHUr1+f2bNnp7ufESNGMHLkyDTrZ8yYcd0AIiKS45KTqTNxIhVWrgRg51NP8Wfr1hYXJXJj8fHxdOvWjdjYWAJvcIWRy4SJZ599liVLlrBhwwbKli173e1WrVpFixYtOHDgAJUrV07zeHojE+XKleP06dM3bERW2e12oqOjCQsLw8vLK8dex9WpD+pBCvXBZLfbWbF4Ma2//ZYCs2djeHiQ/OmnGN27W11artFnweSOfYiLi6N48eI3DRMucZijX79+LFy4kHXr1t0wSAA0+P+pd68XJnx8fPDx8Umz3svLK1e+ebn1Oq5OfVAPUuT7Ply+TIMxYyiwfTt4eWH77jsKdOpkdVWWyPefhf/nTn3IaJ2WhgnDMOjfvz9z5sxhzZo1VKpU6abP2bFjBwClS5fO4epERLLowgU827al1PbtGH5+2ObMgYgIq6sSyXaWhom+ffsyY8YM5s2bR6FChThx4gQAQUFB+Pn5cfDgQWbMmEHr1q0pVqwYu3btYtCgQTRu3JhatWpZWbqIyI2dPQuRkXj8+CN2f39sCxdSoFkzq6sSyRGW3mdi0qRJxMbG0rRpU0qXLu38mjlzJgDe3t6sWLGC8PBwqlevzgsvvEDnzp1ZsGCBlWWLiNzYiRPQpAn8+CNGsWJsHDUK4/77ra5KJMdYfpjjRsqVK8fatWtzqRoRkWxw5Ai0bAn790Pp0lxZvJjYw4etrkokR2luDhGR7LJ/P9x/v/lnhQqwfj3ccYfVVYnkOIUJEZHssGsXNGoER49CtWqwYQOkc8WZSF6kMCEiklU//ghNm8LJk1C7NqxbBze5zF0kL1GYEBHJijVroEULOHcOQkNh9WooWdLqqkRylcKEiMitWrwYIiPh4kVo3hyWL4ciRayuSiTXKUyIiNyKWbOgfXtISIC2bWHRIggIsLoqEUsoTIiIZNbUqfDII+Zsn488Aj/8AL6+VlclYhmFCRGRzPjgA3j8cXA44Ikn4JtvwE3mWRDJKQoTIiIZYRjwxhvw/PPm8qBBMGUKeHpaW5eIC1CYEBG5GcOAl16CV181l0eMgHffBZvN0rJEXIVLTEEuIuKyHA7o1w8mTTKX330XBg+2tiYRF6MwISJyPVeumOdHfP21OQoxeTI89ZTVVYm4HIUJEZH0JCZC164wZ455XsTXX5vLIpKGwoSIyLUuXYJOncybUPn4wP/+B+3aWV2ViMtSmBARuVpsLDzwgDlRV8GCMG+eebtsEbkuhQkRkRSnT0NEBGzfDkFBsGSJOd+GiNyQwoSICMCxYxAWBr/9BiVKmIc46tSxuioRt6AwISJy6BC0bAl//AFlysCKFVC9utVVibgNhQkRyd/27DGDxN9/w223wcqVULGi1VWJuBXdAVNE8q+ff4ZGjcwgUbMmrF+vICFyCzQyISL506ZN0Lq1efVG3bqwdCkUL56hp8bEwL59ULUqNGiQw3WKuAGNTIhI/rNihXmyZWws3H+/eWgjg0EiKgruvRd69DD/jIrK4VpF3IDChIjkL/PnQ5s2EB8P4eGwbJl5GWgGxMTAuHGp140bZ64Xyc8UJkQk//j2W/POlklJ0LGjGSz8/TP89H37MrdeJL9QmBCR/GHKFHj0UUhOhu7dzVtk+/hkahdVq2ZuvUh+oTAhInnfu+/C00+DYcCzz8K0aVAg8+efN2gAQ4emXhcVpZMwRXQ1h4jkXYYBI0eaX2D+5h8zxpxO/BaNHWseKdHVHCL/UpgQkbzJMOCFF2D8eHP5jTfg5ZezZdcNGihEiFxNYUJE8p7kZHjmGfjsM3P5gw+gf39raxLJwxQmRCRvsdvNm0B89x14eJiBondvq6sSydMUJkQk70hIgC5dYMEC8PKC6dPhoYesrkokz1OYEJG84eJFaN8eVq0CX1/44QfzdtkikuMyfWnokSNHMAwjzXrDMDhy5Ei2FCUikinnzpm3x161CgICzHk2FCREck2mw0SlSpX4559/0qw/e/YslSpVypaiREQy7NQpaNYMtmyBIkXMeTaaNLG6KpF8JdOHOQzDwJbONdoXL17E19c3W4oSEcmQo0fNEYm9e6FUKYiOhrvusroqkXwnw2Fi8ODBANhsNl577TX8r7qffXJyMjExMdSpUyfbCxQRSdfBg9CiBRw+DOXKmSMSt99udVUi+VKGw8TPP/8MmCMTv/zyC97e3s7HvL29qV27NkOGDMn+CkVErvXrr+aIxPHjZoBYsQLKl7e6KpF8K8NhYvXq1QD07t2bCRMmEBgYmGNFiYhc17ZtEBEBZ8+ahzSWL4fgYKurEsnXMn3OxNSpU3OiDhGRm1u/Htq0gQsXoH59WLIEiha1uiqRfO+W7jOxbds2/ve//3HkyBGSkpJSPTZ79uxsKUxEJJVly6BjR7h8GZo2hfnzoVAhq6sSEW7h0tDvvvuOhg0b8vvvvzNnzhzsdju//vorq1atIigoKCdqFBEXExMDX39t/pkrZs+Gtm3NING6NSxerCAh4kIyHSbefPNNxo8fz4IFC/D29mbChAns2bOHLl26UF4nQInkeVFRcO+95vQX995rLmfULYWQr74yb4ltt5t/zpkDfn6ZrltEck6mw8TBgwdp06YNYF7FcenSJWw2G4MGDWLKlCnZXqCIuI6YGBg3LvW6ceMyFg5uKYRMnAg9e4LDAY8/Dt9+C1ddSSYiriHTYaJIkSJcuHABgDJlyrB7924Azp8/T3x8fPZWJyIuZd++zK1PcUsh5K23oG9f8+8DBsCnn4KnZ4ZrFZHck+kw0bhxY6KjowF46KGHeP7553nyySfp2rUrLVq0yNS+xowZQ7169ShUqBAlS5akQ4cO7N27N9U2CQkJ9O3bl2LFihEQEEDnzp05efJkZssWkWxQtWrm1qfIVAgxDHj5ZRg2zFx+9VV4/31zOnERcUmZ/tf50Ucf8cgjjwDwyiuvMHjwYE6ePEnnzp35/PPPM7WvtWvX0rdvX7Zs2UJ0dDR2u53w8HAuXbrk3GbQoEEsWLCAWbNmsXbtWo4dO0anTp0yW7aIZIMGDWDo0NTroqLM9TeS4RDicJijEGPGmMtjx8Lo0ZDOLfxFxHVk+NLQxo0bM3/+fIr+/zXd8+fPJywsjJdeeumWX3zp0qWplqdNm0bJkiX56aefaNy4MbGxsXz++efMmDGD5s2bA+Z9LmrUqMGWLVu49957b/m1ReTWjB0LnTqZowpVq948SMC/IeTqQx1pQsiVK/DkkzBtmhkeJk6EZ57J7vJFJAdkOExs2LAh1T0lHnvsMXbs2MFtt92WbcXExsYCOAPLTz/9hN1up2XLls5tqlevTvny5dm8eXO6YSIxMZHExETnclxcHAB2ux273Z5ttV4rZd85+RruQH3IHz34z3/MLzAvskjPtX3473+hQwc4cACqVIF77rnquUlJePbogcfs2RieniR/9hnGo49ef+duJD98Hm5GPTC5Yx8yWqvNMAwjIxt6eHhw4sQJSpYsCUChQoXYuXNntoUJh8NBu3btOH/+PBs2bABgxowZ9O7dO1U4AKhfvz7NmjVj7NixafYzYsQIRo4cmWb9jBkzUk1OJiKuwTMxkXpjx1Jq+3aSCxTgpyFDOK5RRxGXEB8fT7du3YiNjb3hNBq3dAfMnNC3b192797tDBK3atiwYc4ZTsEcmShXrhzh4eE5Op+I3W4nOjqasLAwvLy8cux1XJ36oB6kyFAf4uLw7NgRj+3bMfz8ML7/nrvDwrg7d0vNUfo8qAcp3LEPKaP7N5OpMLFs2TLnXS4dDgcrV650Xhqaol27dpnZJQD9+vVj4cKFrFu3jrJlyzrXBwcHk5SUxPnz5ylcuLBz/cmTJwm+zsQ+Pj4++Pj4pFnv5eWVK9+83HodV6c+qAcprtuHM2cgMhK2boXAQGyLFlHg/vtzv8Bcos+DepDCnfqQ0TozFSZ69uyZavnpp59OtWyz2UhOTs7w/gzDoH///syZM4c1a9ZQqVKlVI/XrVsXLy8vVq5cSefOnQHYu3cvR44cITQ0NDOli4grOX4cwsNh924oVsyc+TPlJAwRcTsZDhMOhyPbX7xv377MmDGDefPmUahQIU6cOAFAUFAQfn5+BAUF0adPHwYPHkzRokUJDAykf//+hIaG6koOEXd1+DC0bGmeiVm6NKxYATVrWl2ViGSBpedMTJo0CYCmTZumWj916lR69eoFwPjx4/Hw8KBz584kJiYSERHBxIkTc7lSEckW+/aZQeLoUahYEVauhGy8IkxErGFpmMjIhSS+vr58/PHHfPzxx7lQkYjkmF27ICwMTp2C6tXNEYkyZayuSkSyge5PKyI5LyYGmjQxg0SdOrB2rYKESB6iMCEiOcq2Zg20aAHnz0NoKKxeDf9/vxoRyRsUJkQkx5Tatg3Pdu3g0iUzUCxfDldd5i0ieUOmw0TPnj1Zt25dTtQiInmIbdYs6o8Zgy0hAdq1g4ULISDA6rJEJAdkOkzExsbSsmVLbr/9dt58803+/vvvnKhLRNzZF1/g2b07HsnJOB55BL7/Hnx9ra5KRHJIpsPE3Llz+fvvv3n22WeZOXMmFStWJDIyku+//96tJi8RkRzy/vvQpw82h4M/w8NJnjoV3ORufyJya27pnIkSJUowePBgdu7cSUxMDFWqVKF79+6EhIQwaNAg9u/fn911ioirMwwYPRoGDQIgedAgdj77LHh6WlyYiOS0LJ2Aefz4caKjo4mOjsbT05PWrVvzyy+/ULNmTcaPH59dNYqIqzMMGDoUhg83l0eNwvHWW2CzWVuXiOSKTN+0ym63M3/+fKZOncry5cupVasWAwcOpFu3bs5ZOefMmcPjjz/OoP//H4qI5GEOBzz3HHzyibk8fjwMHAg67CmSb2Q6TJQuXRqHw0HXrl358ccfqVOnTpptmjVrlmqWTxFxXTEx5l2uq1aFBg0y+WS7HXr3hunTzVGIKVPgiSdypE4RcV2ZDhPjx4/noYcewvcGZ2YXLlyYQ4cOZakwEcl5UVEwbty/y0OHwtixGXxyYiI8/DDMmwcFCsA335jLIpLvZPqcie7du98wSIiIe4iJSR0kwFyOicnAky9dgrZtzSDh4wNz5ihIiORjGRqZ6NSpU4Z3OHv27FsuRkRyz759119/w8Md58/DAw/Axo1QsCDMnw/Nm+dEiSLiJjIUJoKCgpx/NwyDOXPmEBQUxD333APATz/9xPnz5zMVOkTEWlWrZm49AP/8AxER8PPP5m2xlyyBe+/NifJExI1kKExMnTrV+feoqCi6dOnC5MmT8fz/68eTk5N57rnnnFdziIjra9DAPEfi6kMdUVE3GJX4+29zCvHff4cSJSA6GmrXzpVaRcS1ZfoEzC+++IINGzY4gwSAp6cngwcPpmHDhrz99tvZWqCI5JyxY6FTpwxczfHHH9CyJRw6BGXLwooVUK1artYqIq4r02HiypUr7Nmzh2rX/CDZs2cPDocj2woTkdzRoMFNzpH4/XczSBw7BpUrw8qVUKFCrtUnIq4v02Gid+/e9OnTh4MHD1K/fn0AYmJieOutt+jdu3e2FygiFtq+3TxH4vRpuOMO89BG6dJWVyUiLibTYeKdd94hODiYd999l+PHjwPmjaxefPFFXnjhhWwvUEQssnEjtG4NcXFwzz2wdCkUK2Z1VSLigjIdJjw8PBg6dChDhw4lLi4OQCdeiuQ10dHQoQPEx0OjRrBwIejfuYhcR6bDRIp//vmHvXv3AlC9enWKFy+ebUWJiIXmzYMuXSApCVq1gh9+AH9/q6sSEReW6TtgXrp0iccff5zSpUvTuHFjGjduTOnSpenTpw/x8fE5UaOI5Jbp06FzZzNIdO4Mc+cqSIjITWU6TAwePJi1a9eyYMECzp8/z/nz55k3bx5r167VORMi7uyTT6B7d0hOhp494bvvzFtli4jcRKYPc/zwww98//33NG3a1LmudevW+Pn50aVLFyZNmpSd9YlIbnjnHXjxRfPv/frBhAngken/a4hIPpXpnxbx8fGUKlUqzfqSJUvqMIdILoqJga+/zuDEXNdjGDB8+L9BYtgw+OADBQkRyZRM/8QIDQ3l9ddfJyEhwbnu8uXLjBw5ktDQ0GwtTkTSFxVlTonRo4f5Z1TULezEMGDwYBg92lweMwbefBNstmytVUTyvkwf5pgwYQIRERGULVuW2v9/X/6dO3fi6+vLsmXLsr1AEUntelOHd+p0kztZXi05GZ5+Gj7/3Fz+6CPo2zdb6xSR/CPTYeLOO+9k//79TJ8+nT179gDQtWtXHn30Ufz8/LK9QBFJ7ZanDk+RlGQOacycaR7O+OIL84RLEZFbdEv3mfD39+fJJ5/M7lpEJANuaerwFJcvw0MPwaJF4OUF335rXgIqIpIFmT5n4syZM86/Hz16lOHDh/Piiy+ybt26bC1MRNKXMnX41W44dXiKCxegTRszSPj5wfz5ChIiki0yPDLxyy+/0LZtW44ePcrtt9/Od999R6tWrbh06RIeHh6MHz+e77//ng4dOuRguSICmZg6PMW5cxAZaZ5wUaiQeXvsxo1zpVYRyfsyPDIxdOhQ7rrrLtatW0fTpk154IEHaNOmDbGxsZw7d46nn36at956KydrFZGrNGhg3mPqpkHi5Elo2tQMEkWLwqpVChIikq0yPDKxdetWVq1aRa1atahduzZTpkzhueeew+P/r0fv378/9957b44VKiK34OhRaNnSHMIIDjYn8LrzTqurEpE8JsNh4uzZswQHBwMQEBBAwYIFKVKkiPPxIkWKcOHCheyvUERuzYED0KIFHDkCFSrAihVQpYrVVYlIHpSpEzBt19zM5tplEXERu3ebU4cfOWKeVLF+vYKEiOSYTF0a2qtXL3z+f+KfhIQEnnnmGQoWLAhAYmJi9lcnIpm3das5dfjZs1C7NixbBuncAl9EJLtkOEz0vOamNo899liabXr06JH1ikTk1q1bBw88YF4G2qABLFkCVx2OFBHJCRkOE1OnTs3JOkQkq5YuhY4dISEBmjWDefPMy0BFRHKYpgYUyQt++AHatTODxAMPwOLFChIikmsUJkTc3ZdfQpcuYLfDww/D7Nng62t1VSKSjyhMiLizjz+GXr3A4YA+fWD6dHPODRGRXKQwIeKu3noL+vUz/z5wIHz6KXh6WlqSiORPChMi7sYwYNgw8wtg+HB47z3QfV9ExCK3NAW5iFjE4YABA8zDGwBvvw1Dhlhbk4jkewoTIu7iyhXzvIivvjJHISZPhqeesroqERFrD3OsW7eOtm3bEhISgs1mY+7cuake79WrFzabLdVXq1atrClWxEqJieaVGl99ZZ4X8c03ChIi4jIsDROXLl2idu3afJwyZJuOVq1acfz4cefXt99+m4sViriA+Hho39685NPb27ynRLduVlclIuJk6WGOyMhIIiMjb7iNj4+Pc7ZSkfwkJgYO7Yil9eS2BO5YD/7+MHcuhIVZXZqISCouf87EmjVrKFmyJEWKFKF58+b897//pVixYtfdPjExMdWkY3FxcQDY7XbsdnuO1Zmy75x8DXegPmRPD15/Hb4ef5p5iQ8QaGwnwSeQAovnYzRsaN6cyg3os2BSH9SDFO7Yh4zWajMMw8jhWjLEZrMxZ84cOnTo4Fz33Xff4e/vT6VKlTh48CAvv/wyAQEBbN68Gc/rXE8/YsQIRo4cmWb9jBkz8Pf3z6nyRbKVz9mzNHz9dQKPHiUxMJDNr79ObOXKVpclIvlMfHw83bp1IzY2lsDAwOtu59Jh4lp//PEHlStXZsWKFbRo0SLdbdIbmShXrhynT5++YSOyym63Ex0dTVhYGF75+A6E6gOMGmXnnnuiefzxMC5f9mLgQEgn317Xgg//pPaQSCobBzlGCG18lrDXowaffAKPPJJjZWc7fRZM6oN6kMId+xAXF0fx4sVvGiZc/jDH1W677TaKFy/OgQMHrhsmfHx88PHxSbPey8srV755ufU6ri6/9iEmBt59F779Fi5f9uLyZS/GjDHPn2zQIAM72LOHB95qibfxN39QiZas4FDibQBUreqed8rOr5+Fa6kP6kEKd+pDRut0qztg/vXXX5w5c4bSpUtbXYpIuvbty9z6VHbuhMaN8f7nb04Wq0Ej1nMIM0hERWUwjIiIWMDSkYmLFy9y4MAB5/KhQ4fYsWMHRYsWpWjRoowcOZLOnTsTHBzMwYMHGTp0KFWqVCEiIsLCqkWur2rVzK132rwZWreG8+fh7rsptWwZs/8owb595nMVJETElVkaJrZt20azZs2cy4MHDwagZ8+eTJo0iV27dvHll19y/vx5QkJCCA8PZ/To0ekexhBxBQ0amHNuXe2mowqrVkG7dnDpEtx3HyxcCIUL06CEQoSIuAdLw0TTpk250fmfy5Yty8VqRLLHyJGweDF88kkGRhUWLICHHjLvcNmypXkfiYIFc6tUEZFs4VYnYIq4k0ceuckJk999B927m3NutG9vLvv65lp9IiLZxa1OwBTJMz77zLwl9pUr8OijMGuWgoSIuC2FCZHc9v778OSTYBjwzDPm5F1ucpmYiEh6FCZEcothwKhRMGiQufziizBxInjon6GIuDedMyGSGwwDhg6Fd94xl0ePhldeAZvN2rpERLKBwoRITktOhueegylTzOX334fnn7e0JBGR7KQwIZKT7Hbo1QtmzDBHIT77DB5/3OqqRESylcKESE5JSDAv/Zw3DwoUgG++gYcftroqEZFspzAhkgM8ExLw7NgRVq4EHx/44Qdo08bqskREcoTChEh2O3+e0BEj8NizBwICYP58uOq28SIieY3ChEh2+ucfCoSHU2zPHozChbEtXaoJNkQkz1OYEMkuf/8NLVti27OHhKAgPFeswKtuXaurEhHJcbpbjkh2+OMPaNQI9uzBKFeODW++CbVqWV2ViEiuUJgQyarffoP774dDh6BKFa6sWsWlMmWsrkpEJNcoTIhkxfbt0KQJHD8Od94J69ZBhQpWVyUikqsUJkRu1caN5lUap09DvXqwZg2ULm11VSIiuU5hQuRWREdDeDjExUHjxrBiBRQrZnVVIiKWUJgQyay5c+GBByA+Hlq1giVLIDDQ6qpERCyjMCGSGd98Aw8+CElJ0Lmzeatsf3+rqxIRsZTChEg6YmLg66/NP50mT4YePcxZQHv1gu++A29vq0oUEXEZummVyDWiomDcuH+Xhw6FscXfNv8C0K8fTJgAHsriIiKgMCGSSkxM6iABBgHjhgP/NRdffhn++19zOnEREQEUJkRS2bfv37/bcPAegxnIBHPFmDHw0kvWFCYi4sIUJkSuUrWq+acHyUzhKfrwBQCHhnxMpZees7AyERHXpYO+Ildp0ACGvZDEDLrRhy9IxoP/tfmSSm8rSIiIXI9GJkSudvkyb/7+ILCYZE8vDo7+li7DOltdlYiIS1OYEElx4QK0a2feFtvPD8/Zs6naqpXVVYmIuDyFCRGAs2chMhJ+/BEKFYJFi8wpxUVE5KYUJkROnoSwMPjlFyhaFJYtg3vusboqERG3oTAh+duRI9CyJezfD8HB5gRed95pdVUiIm5FYULyr/37zSBx5AhUqGDO/FmlitVViYi4HV0aKvnTL7+Y50QcOWLeXGL9egUJEZFbpDAh+c+PP0KTJua5ErVrm0GiXDmrqxIRcVsKE5K/rF0LLVrAuXNw772wejWULGl1VSIibk1hQvKPxYuhVSu4eBGaNzdPtixSxOqqRETcnsKE5A+zZkGHDpCQAA88YN5HIiDA6qpERPIEhQnJ+6ZOhUceAbsdHn4YZs8GX1+rqxIRyTMUJiRv+/BDePxxcDjgiSdg+nTw8rK6KhGRPEVhQvImw4A334QBA8zlQYNgyhTw9LS2LhGRPEhhQvIew4Bhw+CVV8zl11+Hd98Fm83aukRE8ijdAVPyFocD+vWDSZPM5XfegRdesLYmEZE8TmFC8o4rV8zzI77+2hyFmDwZnnrK6qpERPI8hQnJGxIToWtXmDPHPC/iq6+gWzerqxIRyRcUJsT9xcdDx46wfDl4e8P//gft21tdlYhIvqEwIS4rJgb27TPn4WrQ4DobxcaaN6HasAH8/WHePHMmUBERyTWWXs2xbt062rZtS0hICDabjblz56Z63DAMhg8fTunSpfHz86Nly5bs37/fmmIlV0VFmVNn9Ohh/hkVlc5Gp0+bt8XesAGCgszbYytIiIjkOkvDxKVLl6hduzYff/xxuo+PGzeODz74gMmTJxMTE0PBggWJiIggISEhlyuV3BQTA+PGpV43bpy53unYMXPmz+3boXhxc8Kuhg1ztU4RETFZepgjMjKSyMjIdB8zDIP333+fV199lfb/f/z7q6++olSpUsydO5dHHnkkN0uVXLRv3/XXN2gAHDpkjkD88QeUKWOOSNSokas1iojIv1z2nIlDhw5x4sQJWl41bB0UFESDBg3YvHnzdcNEYmIiiYmJzuW4uDgA7HY7drs9x+pN2XdOvoY7yI4+VKkCfn7pr7f/socCkZHY/v4bo1IlrixdCpUqmfNuuAh9Fkzqg0l9UA9SuGMfMlqrzTAMI4dryRCbzcacOXPo0KEDAJs2beK+++7j2LFjlC5d2rldly5dsNlszJw5M939jBgxgpEjR6ZZP2PGDPz9/XOkdskdQX/8QejIkfjExnKhbFk2jRxJQrFiVpclIpJnxcfH061bN2JjYwkMDLzudi47MnGrhg0bxuDBg53LcXFxlCtXjvDw8Bs2IqvsdjvR0dGEhYXhlY8nksrOPmzbBgcOmCMS9a5swbNnT2yxsRh3343vokU0L148m6rOXvosmNQHk/qgHqRwxz6kjO7fjMuGieDgYABOnjyZamTi5MmT1KlT57rP8/HxwcfHJ816Ly+vXPnm5dbruLrs6ENoqPnFypXmfSMuXYL77sO2aBFeQUHZU2gO0mfBpD6Y1Af1IIU79SGjdbrsRF+VKlUiODiYlStXOtfFxcURExNDaGiohZVJrpo/H1q3NoNEWBgsW2ZeBioiIi7D0pGJixcvcuDAAefyoUOH2LFjB0WLFqV8+fIMHDiQ//73v9x+++1UqlSJ1157jZCQEOd5FZLHffstdO8OycnQoQN89x2kM+okIiLWsjRMbNu2jWbNmjmXU8516NmzJ9OmTWPo0KFcunSJp556ivPnz3P//fezdOlSfH19rSpZcsunn8LTT5vTiT/2GEydCgVc9qiciEi+ZulP56ZNm3Kji0lsNhujRo1i1KhRuViVWO699/6dNvyZZ+Djj8HDZY/IiYjke/oJLa7DMGDEiH+DxNChMHGigoSIiIvTuLG4BsOAIUPMUQmA//4XXn4ZbDZr6xIRkZtSmBDrJSebhzM++8xcnjABBgywtiYREckwhQmxlt1uTg363Xfm4YxPP4XHH7e6KhERyQSFCbFOQgJ06QILFphXakyfbi6LiIhbUZgQa1y8aN7VctUq8PWFH34wb04lIiJuR2FCct+5c2Zw2LIFAgLMkYmmTa2uSkREbpHChOSuU6cgPBx27oQiRWDpUqhf3+qqREQkCxQmJPccPWrOr7F3L5QqBdHRcNddVlclIiJZpDAhuePgQWjRAg4fhnLlYMUKqFrV6qpERCQb6NaCkvN+/RUaNTKDRJUqsGGDgoSISB6iMCE5a9s2aNwYjh83D2msXw/ly1tdlYiIZCOFCck569dD8+Zw9qx5kuWaNRAcbHVVIiKSzRQmJEfYli+HiAi4cAGaNDHPkSha1OqyREQkByhMSLYrvXkznh07wuXL5v0kliyBQoWsLktERHKIwoRkK9vXX1Pv7bex2e3w0EMwZw74+VldloiI5CCFCck+EydSoE8fbA4Hjp494dtvwdvb6qpERCSHKUxI9hg7Fvr2BeDgAw+Q/Mkn4OlpcVEiIpIbdNMqyRrDgFdfhTffBCB52DB2169PeQ/lVBGR/EI/8eXWORzw/PPOIMHYsThGjgSbzdq6REQkV2lkQm5NcjI88QRMm2YuT5wIzz4LdrulZYmISO5TmJDMS0qCxx6DWbPM8yKmToXu3a2uSkRELKLDHJI5ly9Dhw5mkPDyMv9MJ0h89x3ExOR+eSIikvsUJiTj4uIgMtK8CZWfHyxYAB07ptrk9dfNP59+Gu69F6KiLKhTRERylcKEZMzZs9CyJaxdC4GBkHK77KvExMD776d+2rhxGqEQEcnrFCbk5k6cMOfX2LoVihWDVavg/vvTbLZvX/pPv956ERHJG3QCptzY4cPmiMSBA1C6NERHwx13pLtp1arp7+J660VEJG9QmJDr278fWrSAo0ehYkVz5s/Kla+7eYMGMHBg6nVRUeZ6ERHJuxQmJH27dkF4OJw8CdWqmUGibNmbPm3kSFi8GD75xByRUJAQEcn7FCYkrZgY86qNc+egTh1YtgxKlszULh55xLxyVERE8j6dgCmprVljniNx7hyEhsLq1ZkOEiIikr8oTMi/Fi82RyQuXjTPlVi+HAoXtroqERFxcQoTYpo1C9q3h4QEaNsWFi6EgACrqxIRETegMCHwxRfmSQ5XrkDXrvDDD+Dra3VVIiLiJhQm8rsPPoA+fczpxJ98Er7+WmdOiohIpihM5FeGAW+8Ac8/by4PHmxez+npaW1dIiLidhQm8iPDgJdegldfNZdHjIB33gGbzdKyRETEPek+E/mNwwF9+8Lkyebyu++aoxIiIiK3SGEiP7lyBXr3hm++MUchPvnEPE9CREQkCxQm8ovERPNKjTlzoEAB+Oorc1lERCSLFCbyg0uXoGNHc8ZPHx/znhJt21pdlYiI5BEKE3ldbCy0aQMbN0LBgjBvnnl3SxERkWyiMJGX/fMPtGoF27ebt8VevNicb0NERCQbKUzkVceOmRN2/f47lChhzrNRp47VVYmISB7k0veZGDFiBDabLdVX9erVrS7L9R06BI0amUGibFlYt05BQkREcozLj0zccccdrFixwrlcoIDLl2yt3383RySOHYPbboOVK6FiRaurEhGRPMzlfzMXKFCA4OBgq8twDz//DOHhcPo01KxpXr0REmJ1VSIikse5fJjYv38/ISEh+Pr6EhoaypgxYyhfvvx1t09MTCQxMdG5HBcXB4Ddbsdut+dYnSn7zsnXuBHb5s14tmuHLTYWx3/+Q/LChVC8OORyPVb3wRWoByb1waQ+qAcp3LEPGa3VZhiGkcO13LIlS5Zw8eJFqlWrxvHjxxk5ciR///03u3fvplChQuk+Z8SIEYwcOTLN+hkzZuDv75/TJVuixM6d1H/zTQokJnKmRg22vPoqVwoWtLosERFxc/Hx8XTr1o3Y2FgCAwOvu51Lh4lrnT9/ngoVKvDee+/Rp0+fdLdJb2SiXLlynD59+oaNyCq73U50dDRhYWF45eIU3rb58/Hs1g1bUhKOsDCSZ80CC0OTVX1wJeqBSX0wqQ/qQQp37ENcXBzFixe/aZhw+cMcVytcuDBVq1blwIED193Gx8cHHx+fNOu9vLxy5ZuXW68DwIwZ0KMHJCdDp054zJiBRzrv3Qq52gcXpR6Y1AeT+qAepHCnPmS0Tpe+NPRaFy9e5ODBg5QuXdrqUqw3ZQo89pgZJLp3h5kzzVtli4iI5DKXDhNDhgxh7dq1/Pnnn2zatImOHTvi6elJ1/w+QdW778LTT4NhwHPPwbRp5uRdIiIiFnDp30B//fUXXbt25cyZM5QoUYL777+fLVu2UKJECatLs4ZhwIgRMGqUuRwVBWPGmNOJi4iIWMSlw8R3331ndQmuwzDghRdg/Hhz+c03Ydgwa2sSERHBxcOE/L/kZHjmGfjsM3P5gw+gf39raxIREfl/ChOuzm7/9wRLDw/4/HPo1cvqqkRERJwUJlzZ5cvQpQssXAheXualoA8+mGsvHxMD+/ZB1arQoEGuvayIiLgZl76aI1+7eBHatDGDhK8vzJuXq0EiKgruvde8jcW995rLIiIi6VGYcEXnzkFYGKxeDYUKwdKlEBmZay8fEwPjxqVeN26cuV5ERORaChOu5tQpaNYMtmyBIkXMKcSbNMnVEvbty9x6ERHJ33TOhCs5ehRatjR/a5cqZU4hftdduV5G1aqZWy8iIvmbRiZcxYED0KiRGSTKl4f16y0JEmCebDl0aOp1UVE6CVNERNKnkQlXsHu3eY7EiRNw++2wYoUZKCw0dix06qSrOURE5OYUJqy2bRtERMDZs+ZIRHS0eYjDBTRooBAhIiI3p8McVlq3Dpo3N4NEgwawZo3LBAkREZGMUpiwytKl0KoVXLgATZuaIxJFi1pdlYiISKYpTFjhhx+gXTvzDpdt2sDixeb9JERERNyQwkRu+/JL8xbZdrv55+zZ4OdndVUiIiK3TGEiN338sTlJl8MBjz9uzrXh7W11VSIiIlmiMJFbxoyBfv3Mvz//PHz6KXh6WluTiIhINlCYyGmGAcOGwcsvm8uvvQbjx5vTiYuIiOQBus9ETnI4YMAA8/AGmLNlvfiitTWJiIhkM4WJnHLlCjzxhHnCpc0GEyfCM89YXZWIiEi2U5jICYmJ8Oij5iWgnp4wbRo89pjVVYmIiOQIhYnsFh8Pjzxi3pTK2xtmzoQOHayuSkREJMcoTGSjAvHxeD7wAGzYAP7+MHeuOYGXiIhIHqYwkV3OnKHh8OF4HDgAgYGwaBHcf7/VVYmIiOQ4hYnscPw4BVq2pMiBAxjFimFbvhz+8x+rqxIREckVChNZdfgwtGiB7eBBLhctSoGVK/GqXdvqqkRERHKN7pyUFXv3mocyDh7EqFiRDW++CTVrWl2ViIhIrlKYuFU7d0KjRvDXX1C9OldWryY+ONjqqkRERHKdwsSt2LIFmjaFf/6BOnVg3TooU8bqqkRERCyhMJFZv/wCLVvC+fPQsCGsXg0lSlhdlYiIiGV0AmZm1agB4eEQFwfz5kHBglZXJCIiYimFicwqUAC+/dacDdTX1+pqRERELKcwcSt8fKyuQERExGXonAkRERHJEoUJERERyRKFCREREckShQkRERHJEoUJERERyRKFCREREckSXRrqgmJiYN8+qFoVGjSwuhoREZEb08iEi4mKgnvvhR49zD+joqyuSERE5MYUJlxITAyMG5d63bhx5noRERFXpTDhQvbty9x6ERERV6Aw4UKqVs3cehEREVegMOFCGjSAoUNTr4uK0kmYIiLi2nQ1h4sZOxY6ddLVHCIi4j7cYmTi448/pmLFivj6+tKgQQN+/PFHq0vKUQ0aQPfuChIiIuIeXD5MzJw5k8GDB/P666+zfft2ateuTUREBKdOnbKsppgY+PprXWUhIiICbhAm3nvvPZ588kl69+5NzZo1mTx5Mv7+/nzxxReW1KP7QIiIiKTm0udMJCUl8dNPPzFs2DDnOg8PD1q2bMnmzZvTfU5iYiKJiYnO5bi4OADsdjt2uz1L9WzbBh9+CH5+/6778EPo0AFq17Y7Xyc/S3n/+bkP6oFJfTCpD+pBCnfsQ0ZrtRmGYeRwLbfs2LFjlClThk2bNhEaGupcP3ToUNauXUtMOscZRowYwciRI9OsnzFjBv7+/jlar4iISF4SHx9Pt27diI2NJTAw8LrbufTIxK0YNmwYgwcPdi7HxcVRrlw5wsPDb9iIjNi2DVq0SLt+5UpzZCI6OpqwsDC8vLyy9DruzG5XH9QDk/pgUh/UgxTu2IeU0f2bcekwUbx4cTw9PTl58mSq9SdPniQ4ODjd5/j4+ODj45NmvZeXV5a/eaGh0L9/6lteR0WZ61NGgrLjdfIC9UE9SKE+mNQH9SCFO/Uho3W69AmY3t7e1K1bl5UrVzrXORwOVq5cmeqwR24aOxa2bIGvvjL/fOstS8oQERFxGS49MgEwePBgevbsyT333EP9+vV5//33uXTpEr1797aspgYNdA8IERGRFC4fJh5++GH++ecfhg8fzokTJ6hTpw5Lly6lVKlSVpcmIiIiuEGYAOjXrx/9+vWzugwRERFJh0ufMyEiIiKuT2FCREREskRhQkRERLJEYUJERESyRGFCREREskRhQkRERLJEYUJERESyRGFCREREskRhQkRERLJEYUJERESyRGFCREREskRhQkRERLJEYUJERESyxC1mDc0KwzAAiIuLy9HXsdvtxMfHExcXh5eXV46+litTH9SDFOqDSX1QD1K4Yx9Sfnem/C69njwfJi5cuABAuXLlLK5ERETEPV24cIGgoKDrPm4zbhY33JzD4eDYsWMUKlQIm82WY68TFxdHuXLlOHr0KIGBgTn2Oq5OfVAPUqgPJvVBPUjhjn0wDIMLFy4QEhKCh8f1z4zI8yMTHh4elC1bNtdeLzAw0G0+JDlJfVAPUqgPJvVBPUjhbn240YhECp2AKSIiIlmiMCEiIiJZojCRTXx8fHj99dfx8fGxuhRLqQ/qQQr1waQ+qAcp8nIf8vwJmCIiIpKzNDIhIiIiWaIwISIiIlmiMCEiIiJZojAhIiIiWaIwcQPr1q2jbdu2hISEYLPZmDt3rvMxu91OVFQUd911FwULFiQkJIQePXpw7NixVPs4e/Ysjz76KIGBgRQuXJg+ffpw8eLFXH4nWXOjPlzrmWeewWaz8f7776dan1/68Pvvv9OuXTuCgoIoWLAg9erV48iRI87HExIS6Nu3L8WKFSMgIIDOnTtz8uTJXHwXWXOzHly8eJF+/fpRtmxZ/Pz8qFmzJpMnT061jbv3AGDMmDHUq1ePQoUKUbJkSTp06MDevXtTbZOR93nkyBHatGmDv78/JUuW5MUXX+TKlSu5+VZu2c16cPbsWfr370+1atXw8/OjfPnyDBgwgNjY2FT7ceceQMY+CykMwyAyMjLdfzvu3geFiRu4dOkStWvX5uOPP07zWHx8PNu3b+e1115j+/btzJ49m71799KuXbtU2z366KP8+uuvREdHs3DhQtatW8dTTz2VW28hW9yoD1ebM2cOW7ZsISQkJM1j+aEPBw8e5P7776d69eqsWbOGXbt28dprr+Hr6+vcZtCgQSxYsIBZs2axdu1ajh07RqdOnXLrLWTZzXowePBgli5dyjfffMPvv//OwIED6devH/Pnz3du4+49AFi7di19+/Zly5YtREdHY7fbCQ8P59KlS85tbvY+k5OTadOmDUlJSWzatIkvv/ySadOmMXz4cCveUqbdrAfHjh3j2LFjvPPOO+zevZtp06axdOlS+vTp49yHu/cAMvZZSPH++++nO61DXugDhmQIYMyZM+eG2/z4448GYBw+fNgwDMP47bffDMDYunWrc5slS5YYNpvN+Pvvv3Oy3BxzvT789ddfRpkyZYzdu3cbFSpUMMaPH+98LL/04eGHHzYee+yx6z7n/PnzhpeXlzFr1iznut9//90AjM2bN+dUqTkmvR7ccccdxqhRo1Kt+89//mO88sorhmHkvR6kOHXqlAEYa9euNQwjY+9z8eLFhoeHh3HixAnnNpMmTTICAwONxMTE3H0D2eDaHqTnf//7n+Ht7W3Y7XbDMPJeDwzj+n34+eefjTJlyhjHjx9P828nL/RBIxPZKDY2FpvNRuHChQHYvHkzhQsX5p577nFu07JlSzw8PIiJibGoyuzncDjo3r07L774InfccUeax/NDHxwOB4sWLaJq1apERERQsmRJGjRokGoo86effsJut9OyZUvnuurVq1O+fHk2b95sQdXZr2HDhsyfP5+///4bwzBYvXo1+/btIzw8HMi7PUgZui9atCiQsfe5efNm7rrrLkqVKuXcJiIigri4OH799ddcrD57XNuD620TGBhIgQLmtFB5rQeQfh/i4+Pp1q0bH3/8McHBwWmekxf6oDCRTRISEoiKiqJr167OCVxOnDhByZIlU21XoEABihYtyokTJ6woM0eMHTuWAgUKMGDAgHQfzw99OHXqFBcvXuStt96iVatWLF++nI4dO9KpUyfWrl0LmH3w9vZ2hs0UpUqVyjN9+PDDD6lZsyZly5bF29ubVq1a8fHHH9O4cWMgb/bA4XAwcOBA7rvvPu68804gY+/zxIkTqX55pDye8pg7Sa8H1zp9+jSjR49OdXgzL/UArt+HQYMG0bBhQ9q3b5/u8/JCH/L8rKG5wW6306VLFwzDYNKkSVaXk6t++uknJkyYwPbt23N0indX53A4AGjfvj2DBg0CoE6dOmzatInJkyfTpEkTK8vLNR9++CFbtmxh/vz5VKhQgXXr1tG3b19CQkJS/S89L+nbty+7d+9mw4YNVpdimZv1IC4ujjZt2lCzZk1GjBiRu8XlovT6MH/+fFatWsXPP/9sYWU5TyMTWZQSJA4fPkx0dHSqaWWDg4M5depUqu2vXLnC2bNn0x3qckfr16/n1KlTlC9fngIFClCgQAEOHz7MCy+8QMWKFYH80YfixYtToEABatasmWp9jRo1nFdzBAcHk5SUxPnz51Ntc/LkyTzRh8uXL/Pyyy/z3nvv0bZtW2rVqkW/fv14+OGHeeedd4C814N+/fqxcOFCVq9eTdmyZZ3rM/I+g4OD01zdkbLsTr24Xg9SXLhwgVatWlGoUCHmzJmDl5eX87G80gO4fh9WrVrFwYMHKVy4sPNnJEDnzp1p2rQpkDf6oDCRBSlBYv/+/axYsYJixYqlejw0NJTz58/z008/OdetWrUKh8NBgwYNcrvcHNG9e3d27drFjh07nF8hISG8+OKLLFu2DMgfffD29qZevXppLgnbt28fFSpUAKBu3bp4eXmxcuVK5+N79+7lyJEjhIaG5mq9OcFut2O32/HwSP1jxdPT0zlyk1d6YBgG/fr1Y86cOaxatYpKlSqlejwj7zM0NJRffvklVdBO+Q/JtaHUFd2sB2COSISHh+Pt7c38+fNTXdkE7t8DuHkfXnrppTQ/IwHGjx/P1KlTgbzRB13NcQMXLlwwfv75Z+Pnn382AOO9994zfv75Z+Pw4cNGUlKS0a5dO6Ns2bLGjh07jOPHjzu/rj77tlWrVsbdd99txMTEGBs2bDBuv/12o2vXrha+q8y7UR/Sc+3VHIaRP/owe/Zsw8vLy5gyZYqxf/9+48MPPzQ8PT2N9evXO/fxzDPPGOXLlzdWrVplbNu2zQgNDTVCQ0OtekuZdrMeNGnSxLjjjjuM1atXG3/88YcxdepUw9fX15g4caJzH+7eA8MwjGeffdYICgoy1qxZk+rffnx8vHObm73PK1euGHfeeacRHh5u7Nixw1i6dKlRokQJY9iwYVa8pUy7WQ9iY2ONBg0aGHfddZdx4MCBVNtcuXLFMAz374FhZOyzcC2uuZojL/RBYeIGVq9ebQBpvnr27GkcOnQo3ccAY/Xq1c59nDlzxujatasREBBgBAYGGr179zYuXLhg3Zu6BTfqQ3rSCxP5pQ+ff/65UaVKFcPX19eoXbu2MXfu3FT7uHz5svHcc88ZRYoUMfz9/Y2OHTsax48fz+V3cutu1oPjx48bvXr1MkJCQgxfX1+jWrVqxrvvvms4HA7nPty9B4ZhXPff/tSpU53bZOR9/vnnn0ZkZKTh5+dnFC9e3HjhhRecl026upv14HqfFcA4dOiQcz/u3APDyNhnIb3nXHtZtbv3QVOQi4iISJbonAkRERHJEoUJERERyRKFCREREckShQkRERHJEoUJERERyRKFCREREckShQkRERHJEoUJERERyRKFCRGxxJo1a7DZbGkmw7qRESNGUKdOnRyrSURujcKEiNzU5MmTKVSoEFeuXHGuu3jxIl5eXs6ZD1OkhISDBw/ecJ8NGzbk+PHjBAUFZWutTZs2ZeDAgdm6TxG5MYUJEbmpZs2acfHiRbZt2+Zct379eoKDg4mJiSEhIcG5fvXq1ZQvX57KlSvfcJ/e3t4EBwdjs9lyrG4RyR0KEyJyU9WqVaN06dKsWbPGuW7NmjW0b9+eSpUqsWXLllTrmzVrhsPhYMyYMVSqVAk/Pz9q167N999/n2q7aw9zfPrpp5QrVw5/f386duzIe++9R+HChdPU8/XXX1OxYkWCgoJ45JFHuHDhAgC9evVi7dq1TJgwAZvNhs1m488//8zudojINRQmRCRDmjVrxurVq53Lq1evpmnTpjRp0sS5/vLly8TExNCsWTPGjBnDV199xeTJk/n1118ZNGgQjz32GGvXrk13/xs3buSZZ57h+eefZ8eOHYSFhfHGG2+k2e7gwYPMnTuXhQsXsnDhQtauXctbb70FwIQJEwgNDeXJJ5/k+PHjHD9+nHLlyuVAN0TkagWsLkBE3EOzZs0YOHAgV65c4fLly/z88880adIEu93O5MmTAdi8eTOJiYk0bdqUmjVrsmLFCkJDQwG47bbb2LBhA5988glNmjRJs/8PP/yQyMhIhgwZAkDVqlXZtGkTCxcuTLWdw+Fg2rRpFCpUCIDu3buzcuVK3njjDYKCgvD29sbf35/g4OCcbIeIXEVhQkQypGnTply6dImtW7dy7tw5qlatSokSJWjSpAm9e/cmISGBNWvWcNttt3Hx4kXi4+MJCwtLtY+kpCTuvvvudPe/d+9eOnbsmGpd/fr104SJihUrOoMEQOnSpTl16lQ2vUsRuRUKEyKSIVWqVKFs2bKsXr2ac+fOOUcXQkJCKFeuHJs2bWL16tU0b96cixcvArBo0SLKlCmTaj8+Pj5ZqsPLyyvVss1mw+FwZGmfIpI1ChMikmHNmjVjzZo1nDt3jhdffNG5vnHjxixZsoQff/yRZ599lpo1a+Lj48ORI0fSPaSRnmrVqrF169ZU665dzghvb2+Sk5Mz/TwRuXUKEyKSYc2aNaNv377Y7fZUIaFJkyb069ePpKQkmjVrRqFChRgyZAiDBg3C4XBw//33Exsby8aNGwkMDKRnz55p9t2/f38aN27Me++9R9u2bVm1ahVLlizJ9KWjFStWJCYmhj///JOAgACKFi2Kh4fONRfJSfoXJiIZ1qxZMy5fvkyVKlUoVaqUc32TJk24cOGC8xJSgNGjR/Paa68xZswYatSoQatWrVi0aBGVKlVKd9/33XcfkydP5r333qN27dosXbqUQYMG4evrm6kahwwZgqenJzVr1qREiRIcOXLk1t+wiGSIzTAMw+oiRETS8+STT7Jnzx7Wr19vdSkicgM6zCEiLuOdd94hLCyMggULsmTJEr788ksmTpxodVkichMamRARl9GlSxfWrFnDhQsXuO222+jfvz/PPPOM1WWJyE0oTIiIiEiW6ARMERERyRKFCREREckShQkRERHJEoUJERERyRKFCREREckShQkRERHJEoUJERERyRKFCREREcmS/wOsUjm7KbMJ0gAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# importação de módulos\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import sympy as sy\n", + "%matplotlib inline" + ], + "metadata": { + "id": "aaTc2E1ZzSau" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "m = np.size(x)\n", + "alpha1 = (m*np.dot(x,y) - np.sum(x)*np.sum(y))/(m*np.dot(x,x)-np.sum(x)**2)\n", + "alpha0 = np.mean(y) - alpha1*np.mean(x)" + ], + "metadata": { + "id": "w2jPANYWzqLS" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "y2 = alpha0 + alpha1*x" + ], + "metadata": { + "id": "nexZJoI4zsZZ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "mod = plt.plot(x,y2,'r:'); # modelo\n", + "med = plt.scatter(x,y,c='b',s=3); # medição\n", + "plt.legend({'modelo de ajuste':mod, 'medição':med}); # legenda\n", + "\n", + "# esta linha adiciona a equação de ajuste ao gráfico na posição (x,y) = (2.8,0.8)\n", + "# com fonte tamanho 14 e cor RGB = [0.4,0.5,0.4].\n", + "plt.grid(True, alpha=0.4)\n", + "\n", + "plt.xlabel(\"Weight\")\n", + "plt.ylabel(\"Body Fat\")\n", + "plt.title(\"Scatter Plot of Body Fat Data\")\n", + "\n", + "plt.annotate('y= {0:.2f} + {1:.2f}x'.format(alpha0,alpha1),(141,0.3),fontsize=14,c=[0.4,0.5,0.4]);\n", + "\n", + "plt.annotate('r2: {0:.2f}'.format(r_value**2),(221,0.3),fontsize=14,c=[0.4,0.5,0.4]);\n", + "\n", + "plt.show()" + ], + "metadata": { + "id": "qlQuFqYgzuZ1", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 472 + }, + "outputId": "7aa83405-4c69-4b1c-8de4-861b48339a18" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# POLINOMIAL" + ], + "metadata": { + "id": "iy5_CoRc0R56" + } + }, + { + "cell_type": "code", + "source": [ + "M = df['X']\n", + "C = df['Y']" + ], + "metadata": { + "id": "uIv2w7Gz0UI4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "p2 = np.polyfit(M,C,2)\n", + "p3 = np.polyfit(M,C,3)\n", + "p4 = np.polyfit(M,C,4)\n", + "p5 = np.polyfit(M,C,5)" + ], + "metadata": { + "id": "A9xMeNRW0TTQ" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "C22 = p2[0]*M**2 + p2[1]*M + p2[2] # modelo quadrático\n", + "C23 = p3[0]*M**3 + p3[1]*M**2 + p3[2]*M + p3[3] # modelo cúbico\n", + "C24 = p4[0]*M**4 + p4[1]*M**3 + p4[2]*M**2 + p4[3]*M + p4[4] # modelo de quarta ordem\n", + "C25 = p5[0]*M**5 + p5[1]*M**4 + p5[2]*M**3 + p5[3]*M**2 + p5[4]*M + p5[5] # modelo de quinta ordem\n", + "\n", + "# plotagem\n", + "fig, ax = plt.subplots(constrained_layout=True)\n", + "ax.grid(True, alpha=0.4)\n", + "\n", + "ax.plot(M,C, 'ko',ms=6, mfc='black', label='dado')\n", + "ax.plot(M,C22,'rs',ms=8, mfc='None', label='Ord2')\n", + "ax.plot(M,C23,'gd',ms=8, mfc='None', label='Ord3')\n", + "ax.plot(M,C24,'cv',ms=8, mfc='None', label='Ord4')\n", + "ax.plot(M,C25,'m*',ms=8, mfc='None', label='Ord5')\n", + "\n", + "ax.set_xlabel('Weight')\n", + "ax.set_ylabel('Body Fat')\n", + "ax.legend(loc='best');" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 508 + }, + "id": "hIkSqqF-0lkC", + "outputId": "cf7ec97d-7550-4ca8-ccd9-346ef1238b50" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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W81m8e+Bd1jdZT4aRwa/Rf7Ip1ZkVrVqVq1bFOG9v/nBy4khaWt7QOXFfR1OTKuz4en/+XFmt+Hh54V/ckwQGlouhdlQslmOmaRZpuw4dOuR7HxUVxaBBg/ItCwkJKbRY/PDDD5kxYwZffvklPj4+lxasiIg4VG6HlIxDmXiezFlmmDDvF0ivDW4/p3Lvh9swz9ZzJz2hmr8L0Z0743KBoWP6enrSPOsMrusNXE1XWh1uxRKPJQw8PBBX05Vq67NpHnamXLUqZpomV4eHk3HKDc9PdgBnc7W9Csdrg9u2Ktz231yFhxNtmrg4MO7SomKxHGrSpAmGYRRY9EFOMejp6Ym3tzcA1atXv+Rzffzxx9x777189tln9O7d+5KPIyIijpXbIWX0U1k0jDqnsaGqgeezDcgY/zdv3P/v8r+CDRYtvXiHFJvNxj9zFnDU/yH+CNrFvCpPkbwtmeUdljMxewa1ra3456V52Hr1wGKxlNbl2ZUz4J+YyH0LvGm079/rz7ac4cyjVanyf9m8cf+/JdRfV8CisCScSzhEntVqZcOGDcTHx+Pn50doaGiZyJmGzimH6tSpQ58+fXj11Vc5ffp0vnUJCQl88MEH3HLLLYU29wcHBxMZGZlv2aZNm87b7qOPPuLuu+/mo48+4n//+5/9LkBERC673FvGa7rkFITeN3vTflt7Ou/vRJcxQXTe34n229rjfXNOQ8PqEJPpReiQsmHDBg7/9BUTpu1h+lQLyTuSAUjensz0qRYmTt3D4R+/ZMOGDaV6ffZkGAbTlyxh7dU5127pls6Y0WPYP38tt/R2Z9/8NYwZPQZLt5wxl1dfDdOXLCnRbfaIiAiCgoLo0aMHt99+Oz169CAoKIiIiAi7XFNJqFgsp8LDw8nMzKRfv36sX7+euLg4VqxYQZ8+fahfvz7PPPNMofs++OCDrFixgjlz5hAdHU14ePh5t6A//PBDRowYwUsvvUTnzp1JSEggISGBlJSU0r40EREpJX09PYkO8+CH+11I/CyR498dZ8XpFTSa34iVGSs5/u1xEj9LZNUDLhwYV7QOKfHx8dAZbAlLwKsltO+Ys6J9R/BqmbO809ntygsvL/rs2UN0+z2suuEY1nVuDNzRiTEPPgPt23P/g88ycHtnrOvcWHXDUQ6020PfPXsuuadyREQEQ4cO5dChQ/mWHz58mKFDhzq8YFSxWE41bdqUrVu30qhRI4YNG0bjxo0ZPXo0PXr0YOPGjRfstdylSxfefPNN5s+fT+vWrVm1ahVTp07Nt82iRYs4c+YM48aNw8/PL+81YcKE0r40EREpJbmti8/eksmZsV7ETIvh/z79P5ITkvm/T/6PmCdjODPOi9nDMovUqghgeBrQA1ixBfbsgZEjc1aMHJnzfuUW6AlOnuWo5AgMhD17GN+oEbMn+/Bp9/Vcv2UUthVbyF69FduKLVy/9R4+6bGO2ZPrMr1jR4yoqEvqrGK1WpkwYUKB/RByl02cOBGr1Vriy7pUembxUpWBQTQbNGjA4sWLL7hNTExMgcvvuece7rnnnnzLzu0xvXbt2hJGJyIiZVHucDeRJ1Lp7HKGOz+9k6v/uJpfWv7CGZczRJ5IpYtH0VoVTdNk6YmlWLItWNdY4fgSeOEFGDsWWraERx6BXWC50sLSE0sZZg4rPz2iAwMJSIvDKWY37p6dcHJzYv9rriR9kYTXYC+c3NLx8OyEU9permjTH2pdWq/mDRs25G9RvALoB6wE9ubkOC4ujg0bNtC9e3c7XFjxqVgsrksYRNN0c8OsU6cUgxIRESkawzCYHtiA1B9/p0pmFToe6UiDJxuQ/Uo2VTKr0OyHLKa/0rxIRV1UUhTfRn/L7Y1u56OsjzC3bs1pTbz55pyfW7diYHBLo1v4MPpDopKiaOHd4jJcZcmZpsn0zdOpfcaZDhsexZZuI2VDCg2ebMCRV49gS7fRYX01PPsuZ/z33/HlrV9eUiGc7/a8C3A9UP3sz7+AzAK2u8zKUZtwGZE7iGZR5oXOff3xR7kYR0lERCqHbs7VSfTO4OdrTnH1H1fTcEZDrv7jan6+5hTHfDLo5ly0UTSCvYIZ0GwA69LX8d4n7+Ffvz688w4cOADvvEOAvz/vffIea9PXcmPzGwn2Knh84LIoKimK1YdW81CDrpyqb+H3XlXosLsDDWc0pMPuDvzeqwqn6luYHNSdr/d/TVTSpd1J9PPz+/dNT8AVWHL2Z49CtrvM1LJ4KYo7iKZpQlZW6cUjIiJSDK/ueZVHxnyKtfVzdHTJpB/V+dklk2lPV8dp56Nk7bmVh0IeuuhxjLg4wgPG0OLgzWw5/S0xERHs2LGDpGPH8BozhrZt2/JQ1EukpJ9kgf9ojLi4ctN4EuwVTC//Xrz6x0Je+W44d+8/SLOqp+iHC2urnuLBqWf4vFljnvj41hIVwqGhofj7+3PIPASdyLn9HAusAfoCv0OAUwChoaH2u7hiUsuiiIhIJfJ38t9MWzONsc0608XDg+kxMTm3XGNi6OLhwdjmnZm2ZhqxKbEXPlBsLAQHExh6AzO/O82CPz9m+02d6DBmDNc98QQdxoxh+02dCP/zE2Z9e5rA0BsgODhnv3LAMAxmdJ5BckYya3+bU2Cu1vz2IikZKSzov+CSn8W0WCy8PO9luAFIADafXRF59v0N8NLclxw63qKKRRERkUrCNE3Cvg/D09WTp3vOYnpQEJtSU5l88CCbUlOZHhTEMz2fpqZrTcK+C7vwTGFJSZCeDkuX8uArkbSu2ZwxU5pzZkskbNvGmS2RjJ7SnDY1mzN+QSQsXZqzfXHmQnaw+jXqM6P7DMI3L+C2Gpn5cnVbjUwWbg5nVo9ZBNYsWWtpXL04nPyc8In0AdvZhTbw2eyD4WdwqN6hC+5f2lQsioiIXEZxGRlsT0sr8utQRobdzh2VFMU3+79hbMexeLh45PWMnnvoUF4PaA8XD8Z1HFf05/CCg6nSoROLhr3PztT9LMj+Bdq145Xsn9mVFs2iW5ZSpUOnnFbFcmh8p/G09m3Nu2vG0dndnbmHDtHZ3Z131oyljW8bxnceX6Lj57b0hnUK48jWI6xZs4YPP/yQNWvWcGTLEcI6hRWtpbcU6ZlFERGp0MrSFGq58zMfysws8j4BLhefn7mocjukvLrlVcI6heHh4sGsoCCmHDzIrLPjKqZmprJwy8JiP4fXsX7HvMKmY/2OOQVQxzA61OtQ4rgdqYpTFRbdsIjOb3VmTMYOMqq3pk3Gdt48uovIeyOp4nTppVTs6dPc+cNMqnu2ZUinx/ktPR2P9u3xOLv+t/R0hnb6Pz6K2cbwVTP5YEA4Aa6u9rmwYlCxaCdfRH3B5FWTebnfy9x0xU2ODkdERMiZGWPChAn5xrHz9/dn/vz5DB48+LLHkzs/s4th8EnLluQ+5Wb94zSZzx3B5bF6WFpUA8AEbtmzB29n54vOz1xUhmEQfn04LRa2YNrqaczvP5/etWuz85yJHKaunnrJz+E93fNpPo/6nB5LelC3el1m9Zxll7gdLbcQfmfdRFYMX0G/pRNLXAhn2mx03raFBO87wRu6/b638I2Dn2ED0GnbZmJCrrXLF4fi0G1oO0jNTCXs+zDiUuMI+y6M1MxUR4ckIlLplcUp1HJnUDmYkUFSdjbt3N1p5+5O4idbObM8maRPt+UtS8rO5mBGRpFnUimqwJqBzOwxkwWbF7Dl8JZ867Yc3kJ4CZ7D83DxILx/OAEeAYRfH46Hi8fFdyonnj77LGePJT3wdPUscSHsbBgEVauO25lkvKOmsu6qK9jWvv15r3VXXYFX1BO4nUkmyLW63b44FIeKRTvI/Ra2ZuQakjOSmbZ6mqNDKrbFixdTq1YtR4chImIXZXkKtdznBHN71qZmphL9XTQA+7/bT2pmar4et0WZSaXIYmNh+3YerHotrT2aMebTOzmzdTNs386ZrZsZ/emdtPFoxviq18D27ZfUc3lQ8CD+nPBnhbvLZu9C2DAMpjdsSHqVWqSaTny+eXbeF4VzX8s2P0uaaSG9Si2mN2zokBlwVCyW0Lnfwq4NvLbQb2ulIS4ujnvuuYd69erh7OxMgwYNmDBhAsePHy/xsX/++WeuueYa6tSpQ7Vq1bjiiiuYO3euHaIWESl9502h9h/nTqF2uRmGwfSq9Ti+NZUf1h5mzhtzaPZXM/CGZn8246U3XuKHtYc5vjWV6c717VccnB3qhvbtqdKxM4vm7GNnyj4WjO8M7dvzyoOd2ZW8j0Vz9lGlY86y8jTUzeVg70I494uDb8tHeKWQlt4Fm8Pxbfmo/b84FIOKxRI4YzvD6G9G5+sN9WDnB2nt25ox34zhjO1MqZ37zz//pEOHDkRHR/PRRx9x4MABXn/9dX766SdCQkI4ceJEgftlFXFw8OrVqxMWFsb69euJiopi6tSpTJ06lUWLFtnzMkRESkVRp0Zz1BRqXqMOs2gMOPc8QM8JPXGxuXDFnCtwsbnQY0IPnHseYNEY8LrHjkOmnDPUDdu20fHrbYQ1uoVp/6vGz6veYtr1roQ1vpUOX5+dfawcDnVT3uQ+lvC3WYNGjYYx5psxpOxKYc/Ne0jZlcLob0bTuNEt/G1Wt/vjCMWhYrEEXol8hV1Hd7FowKK83lC5vaZ2JuxkQeSCUjv3uHHjcHZ2ZtWqVXTr1o3AwED69+/Pjz/+yOHDh3niiScACAoKYtasWYwYMQIPDw9Gjx4N5Nx2DgwMxM3NjUGDBp3XGtm2bVtuu+02WrZsSVBQEMOHD6dfv34O+RYuIlJcRZ0azVFTqNUZUAeAtd1g5szP6bSvE74jfOm0rxMzZi5jbbez291Yx/4nDw6Gdu2gXTuevmURNd086bHpfjzd6jDrljfy1pXXoW7Km9zWRbemY9mRsJNvX/uWxGWJfPP6N/x2dBduTR9waKsiqFi8ZHnjIhXQG+rc4QNKY1ykEydOsHLlSsaOHUu1atXyrfP19eWOO+7gk08+yXsuZ86cObRu3ZodO3Ywbdo0IiMjGTVqFGFhYezcuZMePXrw9NNPX/CcO3bs4Ndff6Vbt252vx4REXvLnUKtsJYYwzAICHDcFGpB04I4fO8Ruq+DdoeGUr1hzlzM1RtWp33czXRfB0fuO0LQ1KBSjaMid0gpL3JbF3dn2Lixy0zif8pp7Y7/MZ4bO8/k9wybQ1sVQUPnXJJzR8AvrDdU7vABYd+FsfyW5XY9f3R0NKZpElzIt77g4GBOnjxJYmIiAD179mTy5Ml566dNm8Z1113HI488AkCzZs349ddfWbFixXnH8vf3JzExkTNnzjB9+nTuvfdeu16LiEhpsFgszJ8/n6FDh2IYRr6OLrl/dOfNm+ew8Rb/Tv6b0Q3vY+bgRdywqD6rHjpGT5/arD52ghveNNk65BDTg+7n2pRrSzw7yMUMCh7EoOBBl36AqCIM3F2c7SqZjEMZhBytwuDD1bHZetPy72SO1zjOlX9fyS/HajHYyUKIexUyT2fiUt/FITGqWLwEuSPgP9PzmUK/heWOgP/E6ieISoqiSc0mdo/jgtMwnaNDh/wtn1FRUQwalP8XQ0hISIHF4oYNG/jnn3/YtGkTjz32GE2aNOG222679KBFRC6TwYMHs2zZsgLHWZw3b55DxlmE/A0O1/m24bBrItFjo3FZc4bonlVo5gr9fdsy9+yUe1/e+qVDW5UK5eUFbm4wfHjR93Fzy9lP8uwZvIe0LWnkzgNjq+LC0huXcs+no5gwImf2nu1sx72jO+03t3dIjCoWL0FBI+D/139HwM/Ozrbb+Zs0aYJhGAUWfZBTDHp6euLt7Q3kdFa5VA0bNgTgqquu4ujRo0yfPl3FooiUG4MHD2bgwIFlZgYXOKfBofszpLyUgnMG+G8/w74wd/zfT8M5A1K+SGHch+N4Ym1Og0ML7xYOi7dQgYE5rYXF6QDj5ZWzn+SpM6AOaVvS8L7ZmycHppNe0+C7/73P9bdtwy3FZOaXbiR+llg6z68WkYrFS1DQCPj/VZIR8C+mTp069OnTh1dffZWHHnoo33OLCQkJfPDBB4wYMaLQ8wYHBxMZGZlv2aZNmy56XpvNRmYxpqgSESkLLBYL3bt3d3QYeXIbHN7+9W36BPbBvYs7jw4/zmbPNDr1hLeW1iEjPoO3fn2r2FPuXXaBgSr+SihoWhAAMU/G8ECTuvTpe5TJBw+yosY//PBrXRI/O0rQrKBSf371QtTB5RKV5gj4RREeHk5mZib9+vVj/fr1xMXFsWLFCvr06UP9+vV55plnCt33wQcfZMWKFcyZM4fo6GjCw8PPuwW9cOFCvv76a6Kjo4mOjubtt99mzpw5DC/O7QYRETlPboPDUfMoM26bwfWbr2fz05PhwAE2Pz2Z6zdfz4xbZ3DMPFYqDQ5S9gRNC8J/kj9VZh+ld3YN3vrjEL2za1Bl9lH8J/s7tFAEFYslUtCYigWNvVgamjZtytatW2nUqBHDhg2jcePGjB49mh49erBx40ZqnzPP53916dKFN998k/nz59O6dWtWrVrF1KlT821js9l4/PHHadOmDR06dGDhwoU8//zzzJw5s9SuSUSksgisGcjQOkP59sS3HLIdypkt5b77YPt2DpmH+PbEt9zsdXOpd26RssM8Y+Lk5sTj8534aiA8/ooTTm5OmGeK1j+hNDm0WHzttddo1aoVHh4eeHh4EBISwvfff5+3PiMjg3HjxlGnTh1q1KjBkCFDOHr0qAMjzq+gMRULGnuxtDRo0IDFixeTkJBAVlYWsbGxvPLKK9Sp8+9zDTExMUycOPG8fe+55x7i4uJIT0/nq6++YvLkySQnJ+etHz9+PLt37+bUqVOkpKSwfft2HnjgAZwu8+TlIiIVkdVq5cdnfoQEYAD//jV2Am4AEuDHZ350yHSEUjCr1cratWv56KOPWLt2rV3/bUybSeKyRGzpNlwiT9PgyQa4bDqNLd1G4meJmDbHFowOfWbR39+f5557jqZNm2KaJkuWLGHgwIHs2LGDli1b8tBDD/Htt9/y2WefUbNmTcLCwhg8eDC//PKLI8PO59wxFTvW71jo2IsiIiK5NmzYwOG4w/A1cB/QCdgEdAbqAm/BoSOH2LBhg/2ft9RQN8UWERFRYK/6+fPn26VXve20DdcgVzxCPGj2ajOcfZypP64++8fuJyshC9tpG5bqjuuU5dBiccCAAfneP/PMM7z22mts2rQJf39/3n77bT788EN69uwJwLvvvktwcDCbNm2iS5cujgi5QLljKvZY0oO61esWOvaiiIgInDPN4BFgM9Dz7H/3OPv+yH+2swcNdXNJIiIiGDZs2HnD1R0+fJihQ4eybNmyEheMluoW2q5vi2H59/lUZx9nrlx2JabVzLfcEcpMb2ir1cpnn33GqVOnCAkJYdu2bWRnZ9O7d++8ba644goCAwPZuHFjocViZmZmvh67qampQM4zeDabLd+2NpsN0zTzXpfK3dmdBf0XMGXVFF7q+xLuzu6FHq8k5ykPcnNZUL5LKveY9j5uZaRc2ofyaD+VKpexsTROSaHt2bfW1RAVDNkjoeopCF4DuW1IjVNSsMXEFKvHcaG59PeHPXuKP9SNvz9Uhn+X/7DZbGRnZ/PQQw8V+LfbNE0Mw2DixIkMGDCg5MMxGRR8u7mw5XZQ1P/fHF4s/v7774SEhJCRkUGNGjX44osvaNGiBTt37sTZ2ZlatWrl275u3bokJCQUerzZs2czY8aM85bHxcXh7u6eb5nVasVqtZKdnV3iZ/H+1+h//O/+/wGQlZV13vozZ86U6PjlRXZ2Nlarlfj4eLuPY2aaJidPnsQwDPUOLCHl0j6UR/upLLm0HD5M/T596HT6NNtzF2bCF9/B5H7w8kq46dwRyh54AFu1ahz+4Qes9esX6RwXzWVxWwpj7T9tbXlgmiarV6/Od+u5oG3i4uL4/PPPy9Qdz6JKS0sr0nYOLxabN2/Ozp07SUlJYdmyZYwcOZJ169Zd8vEef/xxJk2alPc+NTWVgIAAAgIC8PDIP3h2RkYGMTExVK1aFWdn50s+Z1FdjnM4ms1mw2Kx4Ofnh6urq92PbZomAQEB6mhTQsqlfSiP9lNpcpmUhNPp09jee4/V8fE8+uijAJh7odZemAnkPsj0/PPP09PPD6cRI6jv4lLk1sVKk8tSZrPZOH36dJG2tVqtBJbD8SZz775ejMOLRWdnZ5o0yZkKr3379mzZsoX58+dzyy23kJWVRXJycr7WxaNHj+Lr61vo8VxcXHBxOX/uRCcnp/P+p3Fycsr75lWa32QLmpO0osrNZUH5tofc4+oXYMkpl/ahPNpPpcjl2WtzatmS3nfeyRNNmpzXcSIgIIB58+bRe/DgnCF1yMkNxchLpcjlZXCheuNc9evXL5e5LmrMDi8W/yt3lpD27dtTtWpVfvrpJ4YMGQLAvn37iI2NJSQkxMFRioiIlFxZnI5Q/tWxY0f8/f05fPhwgc8tGoaBv78/oaGhDoju8nFosfj444/Tv39/AgMDSUtL48MPP2Tt2rWsXLmSmjVrMmrUKCZNmkTt2rXx8PBg/PjxhISElMvnAkRExHG+iPqCyasm83K/l7npipscHU4+ZW06QvmXxWJh7ty5DBs2DMMwCrxTOG/evApf3Du0WDx27BgjRowgPj6emjVr0qpVK1auXEmfPn0AmDt3Lk5OTgwZMiRvartXX33VkSEDEJeRQWJ2dpG3965aFZ8KfvtZRKSs+O/v6H+yTjF67RxOWl0YvWYOtb27UMO5et56n6pV8bfzM9ZScQwePJhly5YVOM7ivHnz7DLOYlnn0GLx7bffvuB6V1dXFi5cyMKFCy9TRBeXabNx9Y4dHMrMvPjGZwW4uLC7TRvKcveWxYsXM3HixHyzuIiIlDeF/o4OfgaARKDb73vzrQpwcSG6c2dcyuEzZ3J5VPbHBcrcM4tlnbNh4O/igoth8EnLllyovdAEbtmzB++qVXEuhZbFuLg4nnrqKVasWEFSUhJ+fn7cdNNNPPnkk/mm/CupX375hW7dunHllVeyc+dOux1XRMTe/vs7+o9jexixfCSTujzEHa3uYOmupczdNI/3blpCC5+WOb+jnZ1L5Xe0VCyV+XEBfY0qJsMwmB4UxMGMDJKys2nn7l7oKyk7m4MZGTwVFGT3XtB//vknHTp0IDo6mo8++ogDBw7w+uuv89NPPxESEsKJEycK3K+gMSAvJDk5mREjRtCrVy97hC0iUqrO/R19NDODl398gLY1qvN8yL20c3fnhZD7aFPDjbk/juVoZgYHMzKYXgq/o0UqEhWLl6CvpyddPDyYHhNzwZlapsfE0MXDg76ennaPYdy4cTg7O7Nq1Sq6detGYGAg/fv358cff+Tw4cM88cQTAAQFBTFr1ixGjBiBh4cHo0ePBnJuOwcGBuLm5sagQYM4fvx4gee5//77uf3229UDXUTKjdzf0WP3RPLb0V0sGrCIjD8y2HPzHjL+yGDRDYvYkbCTsXs2l9rvaJGKRMXiJcj95ropNZVVJ08WuM2qkyfZlJpaKt9YT5w4wcqVKxk7dizVqlXLt87X15c77riDTz75JK+QnTNnDq1bt2bHjh1MmzaNyMhIRo0aRVhYGDt37qRHjx48/fTT553n3Xff5c8//+Spp56ya/wiIqXJMAwe8KrG32YNbuw8kw71OnD8m+MkLkvkxLcn6Fi/Izd2mcnfZnXGerupVVHkIvTM4iU6t3Wxr6dnvl82pd2qGB0djWmaBAcHF7g+ODiYkydPkpiYCEDPnj2ZPHly3vpp06Zx3XXX8cgjjwDQrFkzfv31V1asWJHvHI899hgbNmygShV9TESk/DBNk09/eYSq7jdyxLcvpmmSvDYZgOS1yQQ8EkB8nX5UTdjJpz+/zPBbv7z8BWNUlH23EylFqgIuUW7r4nW7drHq5En61a6dty63VXFFq1bnjctkT0U9bocOHfK9j4qKYtCgQfmWhYSE5BWLVquV22+/nRkzZtCsWTP7BCsicplEJUURuWUT41sM4usjp/gh9TCuP6fg7OtM8oZkflhzmOQDpxjvZOG9qI1E9Y6ihXeLyxOclxe4ucHw4UXfx82t+PM5i9iRisUSKKh1sbRbFQGaNGmCYRgFFn2QUwx6enri7e0NQPXq1c/b5kLS0tLYunUrO3bsICwsDPh3rtEqVaqwatUqevbsWfILEREpBcFewSz4cgG+c30ZAMABzKoGjZ5vxL579+Hc6wCLAGhEx8YLCJ5T8F2aUhEYmNNamJRU9H28vIo8L7RIaVCxWAIFtS7+t1WxNNSpU4c+ffrw6quv8tBDD+V7bjEhIYEPPviAESNGFHr+4OBgIiMj8y3btGlT3n97eHjw+++/51v/6quvsnr1apYtW0bDhg3teDUiIvZlGAbBtwZz8tmT7A9NYs5wLxZ0ao5vG19+awXjN+9lytJEmm3wJvjW4Mt/CzowUMWflCvq4FJC/+0ZXdqtirnCw8PzZrVZv349cXFxrFixgj59+lC/fn2eeeaZQvd98MEHWbFiBXPmzCE6Oprw8PB8zys6OTlx5ZVX5nv5+Pjg6urKlVdeWeyWShGRy631M605ct8Rmm3w4sZtBtNtR3J+R9uOcONWg2YbvDly3xFaP93a0aGKlHkqFkvo3J7Rkw8eLLUe0P/VtGlTtm7dSqNGjRg2bBiNGzdm9OjR9OjRg40bN1L7nGco/6tLly68+eabzJ8/n9atW7Nq1SqmTp1aqvGKiBSH1Wpl1rJZ+Dzrw9PLnsZqtRb7GMNeH8aa3mu4YZHJvphUHtsWzb6YVG5402RN7zUMe31YKUQuUvEYZmn1vigjUlNTqVmzJikpKXh4eORbl5GRwV9//UXDhg1xLcG8oKZpcvWOHWxKTaWLhwe/tm17Xu/orKwsnJ2dK/wQDfbKaUFsNhuxsbEEBgbipGm5SkS5tA/l0X7OzeXy5csZP2U8RwYdgerAKaj3RT0WzFlQ7Hl4fx71M2nvp7GnS1U6bKjC1q5naLkxG48RHlzz1jWlczEOps+lfVSGPF6oRjpXxbz6y8wwDGYFBdG6enVmaSYAEZFii8vIYHdmJnO+/JIhjz/OkW7VwbsprG0K3k050q06Qx5/nDlffsn2tDQOZWRc9JimzcRphRPVsqvRdEcmX98NTbZnUi27Gsb3BqatQreViNiNOrjYSe/atdl5gVu/IiJSsEybjWt37uRQVhZ4esIbb/y7sss5P0fCwwDbthHg4kJ05864FNTiExsLSUnYTpu4eltxaw4PXDOBA1Vj+H5iQz785U1sJ6zYNm7HUs1Qb2ORi1CxKCIiDuVsGPi7uJCdns7RsHEw6GyL3xeAjZx7YLmjhH1hUO/1N6jv4oJzQXdxYmMhOBjS07EAbXHCwMaz8TC5Hzy78gBt9vbAxAnjWlvOPm5uOcPZqGAUKZCKRRERcSjDMHiyQQOuT0uDzjXBeQu8BRw5Z6P3gPuATh05ArxT2CM/SUmQng5Ll0JwMLlbDDr7YsTZc+ZuHxWVM0B2UpKKRZFCqFgUERGH6+vpSVBmOjGDRsIbW/IXipDzfjMweiRNbVkXH54sOBjatSulaEUqF3VwERGRMsHj+BdQqyWkdgQgiCCe4imCCMrZIKUj1GqJ58mvHBekSCWkYlFERBwuKimKXdFvUSf9KNw+EgyDEELoTne60AUMA24fSZ3TR9m8eyFRSVGODlmk0lCxKCIiDhfsFUwv/15weDG0bInXddfRhjYAtKENXv37Q8uWmIfe5cbmNxLsdRnncxap5FQsioiIwxmGwfQG06m38whd9qbQ9fbpdHTthLWWlU6unel621N02ZtM/Z3xzG09V+PZilxG6uBiJ//s/oe/Z/xNg6caUOPKGo4Op9gWL17MxIkTSU5OdnQoIlJJOU124pVd88++S8esatByfkui7t3H+DvTgVrAfE5uOZnT2UVELgu1LNrJ8W+Ok7gskRPfnrhs54yLi+Oee+6hXr16ODs706BBAyZMmMDx48dLfOy1a9diGMZ5r4SEBDtELiJyPrdebgDsaLeTB185wgufu1H3zrq88LkbD75yhJ3tdgJQ58Y6DoxSpPJRsWgnyWuT8/0sbX/++ScdOnQgOjqajz76iAMHDvD666/z008/ERISwokTBRetWVlZxTrPvn37iI+Pz3v5+PjYI3wRqcC+iPqCRvMbsXzv8qLvFBuLT89DNBjjTNvtbWi9Yhcr3E8xeeNGVrifos2K3bTZ3oagB1wIuv5EzuDbInJZqFi8RBmHMkjbnpbz2pZGys8pOPs6k7whmbRtaXnrMg9nlsr5x40bh7OzM6tWraJbt24EBgbSv39/fvzxRw4fPswTTzwBQFBQELNmzWLEiBF4eHgwevRoIOe2c2BgIG5ubgwaNKjQ1kgfHx98fX3zXhV1MnURsY/UzFTCvg8jLjWOsO/CSM1MvfhOsbEYLVtSb8AAGr5xDf58yqjvrqNOzF7eSsqiTsxe7vmuL/58QtBrV0P79jnjKKpgFLks9Jf/Eu0ZvIdt7bflvDpsw8wyafR8I8wsk20dtuWt2z1ot93PfeLECVauXMnYsWOpVq1avnW+vr7ccccdfPLJJ5hmzpRZc+bMoXXr1uzYsYNp06YRGRnJqFGjCAsLY+fOnfTo0YOnn366wHO1adMGPz8/+vTpwy+//GL3axGRimXq6qmkZKSwZuQakjOSmbZ62sV3SkrCSE8nce5cbFu2YN46HCdXeHgefDUQpsw3cXIF87Y7Ydu2nNlZ0tNzZl0pTFQUbN9+8VeUhuARuRh1cLlEdQbUIW1LGt43exP4WCBValehWlA1anatyZkTZ4h9LpbEzxJL5dma6OhoTNMkOLjgoSOCg4M5efIkiYmJAPTs2ZPJkyfnrZ82bRrXXXcdjzzyCADNmjXj119/ZcWKFXnb+Pn58frrr9OhQwcyMzN566236N69O5GRkbTTrAgiUoAth7cQvjmcl/q+xLWB1zKzx0ymrJrC8FbD6Vi/40X3z27SBLNNWxLXR2LLgI6xzfiy35cM2DwAWwYkroMmS9tywX7QXl45cz0PH170wN3ccvYTkQKpWLxEQdOCAIh5MobqraoTNDXnfbWgasS8H0PiZ4kEzQoiaGpQXgufvRX1uB06dMj3PioqikGDBuVbFhISkq9YbN68Oc2bN897f/XVV3Pw4EHmzp3L+++/X4KoRaQiicvIIDE7mzM2K3f+MJNmDf7HNS3uZntaGte2uIem+9Zw5w8zeW/Q+1RxsuBTtSr+rq6FHs922oZrkCseIR40e7UZPX16knUsi/1j95OVkIXttA3LhQIKDMxpLbxQq+N/eXlpXmiRC1CxWAJB04I4k3yGmGkx1LuvHkZVAzPbJObJGPwn++cVkPbWpEkTDMMosOiDnGLQ09MTb29vAKpXr26X83bq1Imff/7ZLscSkfIv02bj6h07OJR59tnsoJw7GJ137Px3o/8sC3BxIbpzZ1wKef7ZUt1C2/VtMSz/th86+zhz5bIrMa1mvuWFCgxU8SdiR3pmsYTMMyZObk7sf2A/v9T5hf1j9+Pk5oR5pnRaEwHq1KlDnz59ePXVVzl9+nS+dQkJCXzwwQfccssthQ5aGxwcTGRkZL5lmzZtuuh5d+7ciZ+f36UHLiIVirNh4O/iQgPnKrj+NoFbM1azrX378163ZKzG9bcJNHCuQn0XF5wvMqB2YQVhkQpFEbE7FYslYNpMEpclYku3kbIhhQZPNiBlfQq2dBuJnyVi2kqvYAwPDyczM5N+/fqxfv164uLiWLFiBX369KF+/fo888wzhe774IMPsmLFCubMmUN0dDTh4eH5bkEDzJs3jy+//JIDBw6we/duJk6cyOrVqxk3blypXZOIlC+GYfBUgwb8nXWG6m71eKPHFNq5u5/3WtRjCm5ufvyddYanGjTQ7Csi5YyKxRLIfbbGa4gXHfd0pOGMhnTc0xGvIV64NnTFdtpWaudu2rQpW7dupVGjRgwbNozGjRszevRoevTowcaNG6ldu3ah+3bp0oU333yT+fPn07p1a1atWsXUqVPzbZOVlcXkyZO56qqr6NatG7/99hs//vgjvXr1KrVrEpHyJ8CaAKl7cGs6FndndyBnRqs9N+/hn93/AODu7E71puMgdU/O9iJSruiZxRKwy7M1JdCgQQMWL158wW1iYmIKXH7PPfdwzz335Ft2bo/pRx55JK+3tIhIYVp4t6Bz9utE0pIvjh1mcF3/vBmt3Du4U+PKGnxx7DBxuNPlzD5aeI91dMgiUkxqWSwhPVsjIpWZYRh80msKTml7GbdnM6Zp5pvRyjRNxu2JxCltLx/3nKxb0CLlkFoWRUTk0sXGUndPIlP2Z/GFe23e2r+c5us9ca5jkLzuBG+9sRx3pzqMTDuMb9VEaGGop7JIOaNiUURELk1sLAQHsyd9Dv1pRX8APDHJptHpOexjCk0f8GQRAK3YzRbau03JGQexgIKx6oEDObOqXGxaUc26InJZqVgUEZFLk5QE6enUGVKftM8huVsGj9zuyg3s5uUOs3l+61q+pR0vfJhBrXWu1BlaH5adnabv3GLRywvTzQ3vhx4q+rk164rIZaNikaLPhCIXp1yKVD5B/+cPrWsT82QMvRulM39QNQbVOcUrftUYE5FOrXVuOTNaXX8ClhVwgMBAzD17iN+9G19fX5wu1rIImnVF5DKq1MVi1apVAUhPT6datWoOjqZiSE9PB/7NrYhUDrkzWg17+RAf33AFN3wfQU2fgQxbzL8zWm0/UfgBAgPJOvvzorehReSyqtTFosVioVatWhw7dgwANze3UumpZ5om2dnZ2Gy2CtsT0DRN0tPTOXbsGLVq1cJiueDsrSJSAeXOaDVt/hnarh/I9m42nNyqlOqMViJS+ip1sQjg6+sLkFcwlgbTNLFarVgslgpbLOaqVatWXk5FpPI4d0arNnuqsuJeJ/p9YcOWbiXxs0SavNyEiv3bT6TiqvTFomEY+Pn54ePjQ3Z2dqmcw2azER8fj5+fX9GexSmnqlatqhZFkUoqd0YrjxAPmr3ajB4+zmQ9k8X+sfvJSsjCdtqGfjuIlE8OLRZnz55NREQEe/fupVq1alx99dU8//zzNG/ePG+b7t27s27dunz7jRkzhtdff92usVgsllIrdGw2GxaLBVdX1wpdLIpI5eXoGa1EpPQ4tHJZt24d48aNY9OmTfzwww9kZ2fTt29fTp06lW+7++67j/j4+LzXCy+84KCIRUSkMJrRSqRicmjL4ooVK/K9X7x4MT4+Pmzbto2uXbvmLXdzc9NzcCIiIiIOUKaeWUxJSQGgdu3a+ZZ/8MEHLF26FF9fXwYMGMC0adNwc3Mr8BiZmZlkZmbmvU9NTQVybgXbbLZSivzCcs/tqPNXFMqj/SiX9lHp82iz4UROHihKDi6wfaXPpR0pl/ZRGfJY1GsrM8WizWZj4sSJXHPNNVx55ZV5y2+//XYaNGhAvXr12LVrF48++ij79u0jIiKiwOPMnj2bGTNmnLc8Li4Od3f3Uov/QkzT5OTJkxiGUeF7Q5cm5dF+lEv7qOx5dE5IoB5w/OefyU5IuOj2VQ8cwBtISEggKzY237rKnkt7Ui7tozLkMS0trUjbGWYZmXLjgQce4Pvvv+fnn3/G39+/0O1Wr15Nr169OHDgAI0bNz5vfUEtiwEBAZw8eRIPD49Sif1ibDYbsbGxBAYGqoNLCSiP9qNc2kelz2NsLEbLlhhnB+MvCtPNDXPPnvNmX6n0ubQj5dI+KkMeU1NT8fT0JCUl5YI1UploWQwLC+Obb75h/fr1FywUATp37gxQaLHo4uKCi4vLecudnJwc+o+de/6K+oG7XJRH+1Eu7aNS5zEoCKKicuZ6LiLDywujkGn6KnUu7Uy5tI+KnseiXpdDi0XTNBk/fjxffPEFa9eupWHDhhfdZ+fOnQD4+fmVcnQiInJRgYGao1mkgnNosThu3Dg+/PBDvvzyS9zd3Uk4+8xLzZo1qVatGgcPHuTDDz/k+uuvp06dOuzatYuHHnqIrl270qpVK0eGLiIiIlIpOLRYfO2114CcgbfP9e6773LXXXfh7OzMjz/+yLx58zh16hQBAQEMGTKEqVOnOiBaERERkcrH4behLyQgIOC82VtERERE5PKpmE9sioiIiIhdqFgUERERkUKpWBQRERGRQqlYFBEREZFCqVgUERERkUKpWBQRERGRQqlYFBEREZFCqVgUERERkUKpWBQRERGRQqlYFBEREZFCqVgUERERkUKpWBQRERGRQqlYFBEREZFCqVgUERERkUKpWBQRERGRQqlYFBEREZFCVXF0ACIiUnFYrVY2bNhAfHw8fn5+hIaGYrFYHB2WiJSAikUREbGLiIgIJkyYwKFDh/KW+fv7M3/+fAYPHuzAyESkJHQbWkRESiwiIoKhQ4fmKxQBDh8+zNChQ4mIiHBQZCJSUioWRUSkRKxWKxMmTMA0zfPW5S6bOHEiVqv1cocmInagYlFEREpkw4YN57Uonss0TeLi4tiwYcNljEpE7EXFoohIKfgi6gsazW/E8r3LHR1KqYuPj7frdiJStqhYFBGxs9TMVMK+DyMuNY6w78JIzUx1dEilys/Pz67biUjZot7QIiIlFRsLJ07kvZ26+wVS0k+ypsvrXBc5nmmfjGH+lQ//u72XFwQGOiDQ0hEaGoq/vz+HDx8u8LlFwzDw9/cnNDTUAdGJSEmpZVFEpAQshw9jtGwJ7dtD+/ZsGdCe8D8/Yda3p7m2773M/O40C/78mC0D2udtQ3BwToFZQVgsFubPnw/kFIbnyn0/b948jbcoUk6pWBQRKQHLyZMY6emwdClntkQyekpz2tRszvgFkbBtGw++Eknrms0ZM6U5Z7ZEwtKlkJ4OSUmODt2uBg8ezLJly6hfv36+5f7+/ixbtkzjLIqUY7oNLSJSQnHe3iQ2a8bSzK38ZsJ7Ny1hl3dw3vpJnosZsXwkj2Zu545m7fHx8sLfgfGWlsGDBzNw4EDN4CJSwahYFBEpgUyga3g4h06dAoKh3evcGXsaYrfl37D9G7ycDS9nnyIgPJxo08TFEQGXMovFQvfu3R0dhojYkYpFEZEScAb8ExM5UctC9YNzWTZsGTWcq2P94zSZzx3B5bF6WFpU45+sUwz5dAjpjSdRPykJ5yZNHB26iEiR6JlFEZESMIC7ly8h3bkO/2t5O13r+NLO3R2fNac5szyZumszaOfuTtc6vtzQ8g7Snetw9/Il53UEEREpq1QsioiU0L0/bsHzdBwfpFYlJSMFgOS1yfl+pmSk8EFqVTxPx3Hvj1scFKmISPGpWBQRKSEnIPyUN0FHmjLlrXdJ25ZGys8pOPs6k7whmbRtaUx56x2CjjQlPN1bv3hFpFzRM4siInbQ/Ck3Fv1hA9qwjW0YVQ0aPd+IfffuY1uHbdxBW+4A3Fu4OTpUEZFi0RdcERE7qNO1KgBru8HMmZ/Tfm97fEf40n5ve2bMXMbabme361bVgVGKiBSfikURETsIus+FoBlBdF8H9fddy6KENwF4I2ERAXu70n0dBM0MIujeijhgjohUZLoNLSJyltVqvfQBpaOiCLohmAP7qjDqg7rc2uIdOsbX4sV9K/j4w//jzO1VCPrfCYiKKt2LEBGxMxWLIlJ5xcbmTbu3evVqXnzxRY4eO5a3uq6PDw8//DA9e/bMWeDlBYGB+Q5h9fTEdHPDGD4cgAaE8ZfzIMK+Goc10oNxncPIcrbR8MOP4cOFOTu5ueUcS0SkHFCxKCKVU2wsBAfnzNMM9Dz7+uIKmNwPXl4JN+09Bg8//O8+bm45LYPnFIzW+vUx9+zBOHEC02ZyqNdxnFOduHKvB+/dsIcbN7TEOQsOedxIk5/uxnAyCiw6RUTKKj2zKCKVU1ISpKdje+89+vv40A5o7QK3XA9/ecCw63Petweur1sX23vv5RSWZ1si8wkMhHbt+GL/3+xJ3c861nH3Y3t5d3JL7n5sL+tYx+7UfXyx/29o106FooiUK2pZFJFKbfvp06zIvfXcE3AFlkD2cNjVA1gBHD3K9tOn6XCB41itViY8OoEjHMGGDT5rB14PkPzZm0xnOxYs1HusHgNvGVj05yBFRMoAtSyKSKWWlNtSWA/oBKwGYoE1QOezy8/drhAbNmzg0KFDOYUiwPbtcN99OT8BK1bi4uLYsGGD/S9CRKQUqVgUkUrNy8sr5zfhACAB2Hx2ReTZ9wMAp7PbXUB8fHyRzlfU7UREygqHFouzZ8+mY8eOuLu74+Pjw0033cS+ffvybZORkcG4ceOoU6cONWrUYMiQIRw9etRBEYtIRRLn7Y3ZqhU17mwLjZvC700J8u/GUzXmEOTfDX5vCk2aUuPOdpitWnHoAgWjn59fkc5Z1O1ERMoKhz6zuG7dOsaNG0fHjh05c+YM//d//0ffvn35448/qF69OgAPPfQQ3377LZ999hk1a9YkLCyMwYMH88svvzgydBEp5zJNk6vDwzmUkQF3vZyzsCOEfAjd34R9t7cn5racxf90gE4ZGQSEhxNtmhQ0rHZoaCj+/v4cPnwY0zTPW28YBv7+/oSGhpbeRYmIlAKHFosrVqzI937x4sX4+Piwbds2unbtSkpKCm+//TYffvhh3jhn7777LsHBwWzatIkuXbqcd8zMzEwyMzPz3qempgJgs9mw2WyleDWFyz23o85fUSiP9qNcQhWbDf/ERE7UslD94FzCfMaxcO5C2uy4FbiSNkt3s+aPTxg7cSwLjoWT3ngS9ZOSqNKoUV7ezs2jk5MTc+fOZdiwYRiGka9gNAwDgJdffhnDMCp13gujz6T9KJf2URnyWNRrK1O9oVNSUgCoXbs2ANu2bSM7O5vevXvnbXPFFVcQGBjIxo0bCywWZ8+ezYwZM85bHhcXh7u7eylFfmGmaXLy5EkMw8j7oyHFpzzaj3IJzkePcvfyJTwx+gWGZN3CLS7tuPnhN4m/JZ5sj2w6ZrZgzZRFOFmciM+6lWUpdbh7+fMcbdCArNhY4Pw8dujQgVdffZUZM2aQkJCQdy5fX1+efPJJOnToQOzZfSU/fSbtR7m0j8qQx7S0tCJtV2aKRZvNxsSJE7nmmmu48sorAUhISMDZ2ZlatWrl27Zu3br5fhGf6/HHH2fSpEl571NTUwkICCAgIAAPD49Si/9CbDYbpmkSEBCAk5P6FF0q5dF+lEsgKYl7f9yCEZtJ0/1XEU9OxxNLVQvB84PZP3o/R2/KeT76Fq6iXbNMRu3fArN988ZJLCiPo0ePZtSoUZc+bWAlpc+k/SiX9lEZ8ph79/ViykyxOG7cOHbv3s3PP/9couO4uLjg4nL+E0VOTk4O/cfOPX9F/cBdLsqj/VT6XJ69bp9rnWA/7A9N4rZ5/ahSuwrVgqpRq3stzpw4w0cTV9Bsgzc+oU447T+73zk5KyiPTk5O/04RKEVW6T+TdqRc2kdFz2NRr6tMFIthYWF88803rF+/Hn9//7zlvr6+ZGVlkZycnK918ejRo/j6+jogUhEpU86Z27lICphm78aex5hwxpPB73mxK3w114QFwAmoBvyyII5mG7z5fGQ6r/Q4CW/bN3wRkfLAocWiaZqMHz+eL774grVr19KwYcN869u3b0/VqlX56aefGDJkCAD79u0jNjaWkJAQR4QsImXFf+Z2LpJz53b28gI3N4zhw7muU0c+vfkFhr1bk/TFvalqniHbqEK2GcEnw2BA1HSMJVty9r/IeIsiIhWNQ4vFcePG8eGHH/Lll1/i7u6e9xxizZo1qVatGjVr1mTUqFFMmjSJ2rVr4+Hhwfjx4wkJCSmwc4uIVCJn53Zm6dKcovFioqJg+PCc/QIDc15RUZCURH/TZPOzJznt4sSq1guptdmPkx2P4PqbjbpnbPR/9TUwjAJbJkVEKjqHFouvvfYaAN27d8+3/N133+Wuu+4CYO7cuTg5OTFkyBAyMzPp168fr7766mWOVETKrOBgaNfu0vbNLRptJt1+/QUj8wyZf3hgTDAw3q5JtUwnuv3qDG3bgVPF7A0pInIxDn1i0zTNAl+5hSKAq6srCxcu5MSJE5w6dYqIiAg9rygihfoi6gsazW/E8r3Li7yP7bSNmo3c2NXTwujXjtKrTm9Gv3aUXT0t1Gzshu10xR1nTUTkYspEBxcREXtIzUwl7Pswjp06Rth3YfRs2BMPl4sPmWWpbqHt+rYkppwkcZcVD5cpJHo3ovlnLWlb0xPDolZFEam8KmZfcBGplKaunkpKRgprRq4hOSOZaaunFXlfw2LQ19OTLh4epHr3o4uHB309VSiKiKhYFJEKYcvhLYRvDmdWj1lcG3gtM3vMZMHmBWw5vKXIxzAMg1lBQbSuXp1ZQUEVdtYGEZHiKHaxGBsbm2/O01ymaWoaKxG5rOK8vdlutbI5JZnhP8ykWYP/EcKt/DxoJ1dzG00b/I87f5jJ5pRktlutHCrCsDe9a9dmZ8eO9D477aiISGVX7GcWGzZsSHx8PD4+PvmWnzhxgoYNG2K1Wu0WnIhIYTJNk6vDwzl06hTs2AlBkwF45d19jF4OC32S2X9bzrLOO3YCEBAeTrRpcv4cTyIiUphityyaplngrZl//vkHV1dXuwQlInIxzoB/YiINsOH62wRuzVjN5rZtuWNnzvrhO2Fz27bckrEa198m0AAb9ZOScHZgzCIi5VGRWxYnTZoE5DzTM23aNNzc3PLWWa1WIiMjadOmjd0DFBEpiGEYPLVkCXc+/AJXJrblpoyWTBp5A/937P84Tjpum92Y1OwGwiaFcSDtb/5OdOKpJUswNPuTiEixFLlY3LFjB5DTsvj777/j7Pzv93NnZ2dat27NlClT7B+hiEghAmK2MPOJdIKj7wJgFrM4QzYrWcQwpjDr2Cx4DOZwN1FN0wlILnpnFxERyVHkYnHNmjUA3H333cyfPx8Pj4uPXSYiUmq8vGhxqhofNNtAcHQ/Muv8xtXHF1KFVHpzlNP8xhk8+LXOOFyOtybOZz0tDlfT3M4iIsVU7GcW3333XRWKIuJ4gYEYUXsJuaMm79x2DJfjrZlFZ67hKO2AazjKLLrgcrw1b99+lJA7amFE7dXcziIixXRJM7hs3bqVTz/9lNjYWLKysvKti4iIsEtgIiIXFRjIP7Ua8H7VOdS4+QWGfTaKt/iWM5yhClW4nnv4ZBgstbzE9bUeUqEoInIJit2y+PHHH3P11VcTFRXFF198QXZ2Nnv27GH16tXUrFmzNGIUESmUn58fLN2C5Z/jnHaxMZGJfMVXTGQip11sWP45Dh9sydlORESKrdjF4rPPPsvcuXP5+uuvcXZ2Zv78+ezdu5dhw4YRqG/tInKZhYaGEuAXQNfVVaiW6UQrl3YsYQmtXNpRLdOJbj9VIbBeIKGhoY4OVUSkXCp2sXjw4EH+97//ATm9oE+dOoVhGDz00EMsWrTI7gGKiFyIxWJh3gvzOJoZx7qOKdz9+iEWBy7m7tcPsa5jCgmZscx9fi4Wi8XRoYqIlEvFfmbR09OTtLQ0AOrXr8/u3bu56qqrSE5OJj093e4Bikg5FxsLSUlF397Lq9jPFg6+fTARVSN46r3XSA56DGaNJTnwChb4Ps+iT+9j8M2Dixm0iIjkKnax2LVrV3744Qeuuuoqbr75ZiZMmMDq1av54Ycf6NWrV2nEKCLlVWwsBAdDcb5IurlBVFTxC8abB3PjoBtpuOY7DgXeTEB2Kn9GfE2VKpfUj09ERM4q9m/R8PBwMjIyAHjiiSeoWrUqv/76K0OGDGHq1Kl2D1BEyrGkpJxCcenSnKLxYqKiYPjwnP0u4RnoKlWq8G77a5ly8CBzGrdSoSgiYgdF/k3atWtXvvrqK2rXrg3AV199RZ8+fXjsscdKLTgRqSCCg6Fdu8tyqt61a7Pz7O8pEREpuSJ3cPn555/zjak4fPhw4uPjSyUoERERESkbLvkejWma9oxDRCoJq9XKhg0biI+Px8/Pj9DQUPVUFhEpw4o9dI6IyKWKiIggKCiIHg/04PbI2+nxQA+CgoI085OISBlWrJbFlStX5s3SYrPZ+Omnn9i9e3e+bW688Ub7RSciFUZERARDhw7FdDZhGFAduB4OLTzE0KFDWbZsGYODghwcpYiI/FexisWRI0fmez9mzJh87w3DwGq1ljwqESn7ijJ+YlQUANY9e3j+kUdyHl/pCUGpQYx8bSRL7lhCTI8YWAkTJ05k4OefoxvSIiJlS5GLRZvNVppxiEh5UozxE+O8vUmcNYuX3d0Z0Midkz0hZPF1dD/dnX2bjhMzciVmKsQlwkd//EF3Ly/8L8MliIhI0WgQMhEpviKOn5gZFcXVVatyyMcn3/I2n5796TaEjzsMgQ457+8EAsLDiTZNXEopdBERKR4ViyJy6S4yfqKzaeK/aRO1M9wZtOQlPrwSjLVw1e9TOG7JpNUWF5pNmIPZA9gFrvc+QvWTSTg3aXLZLkFERC5MxaKIlBrDMJi+ZAl/pr1A8N6pdF+ds/wM2ay0vsowpvDGrqmwK2d5VDw0cl+CERLiuKBFRCQfFYsiUnq8vOizZzf3/+8YwXt9qOW0lsa2D6lCKr05yml+4wweHHS6nWRbd3a0OsqYb3aDl5ejIxcRkbM0zqKIlJ7AQPZu/Io3r53DO3dDsq07c6v34hqO0g64hqPMq96bZFt33r4H3rzmJfZu/OqS5oUWEZHSUeyWxZEjRzJq1Ci6du1aGvGISAUTfFUvbvi1Gh/fsIcmp1rS9dNb6Pr5LSQcT8C3ji8MgXV3VOGTQVEM+MeP4Kt6OTpkERE5R7FbFlNSUujduzdNmzbl2Wef5fDhw6URl4iUQ19EfUGj+Y1Yvnd53jLDMFh45SM4xSwh8QyYbgZeS73wHe2L1wdemG4GiRlncIp9n/D+CzAMw3EXICIi5yl2sbh8+XIOHz7MAw88wCeffEJQUBD9+/dn2bJlZGdnl0aMIlIOpGam8tw7z3HXm3fx3NvPkZqZmrcu0M2PZz7bSte12RjpJikbUmjwZANS1qdgpJt0W5PNs60GEVhTt59FRMqaS3pm0dvbm0mTJvHbb78RGRlJkyZNuPPOO6lXrx4PPfQQ0dHR9o5TRMqYOG9vtlutbE9LY3taGqPXzKH53mvpuqcrzfZezZg1c/LWbbdaGXSwHsmeiazrCinrG9FwRkNS1jdiXVdIrpPEuNZjHX1JIiJSgBL1ho6Pj+eHH37ghx9+wGKxcP311/P777/TokULXnjhBR566CF7xSkiZUimaXJ1eDiHTp2CbdtyFrr25PmjOf/Z8tiNPOYKH+euAwIWvMQHtbMYfXoPDY6d4q8rrmfssW38PTmWyDYdcHHXMNwiImVRsVsWs7Oz+fzzz7nhhhto0KABn332GRMnTuTIkSMsWbKEH3/8kU8//ZSZM2eWRrwiUgY4A/6JiXSIP8OvfzvTa9Xb9Fn5Np12g1HHoPPv0Hvl2/Re9Ta//u1M+4Qz1E9K4traLbjR5SR/m9W5ded6/jZrMNDlJJ0COzn6kkREpBDFbln08/PDZrNx2223sXnzZtq0aXPeNj169KBWrVp2CE9EyiLD25vpH3/Mn0mzyNybxVRG5Swnm+an57CPKTzxXM6yTLIYdUUVGnl9jDFgAO+1HI/3j5/yKU2p+k80S3qHOfJSRETkIordsjh37lyOHDnCwoULCywUAWrVqsVff/1V0thEpKwKDKTv0qXEhNgAONTxIO2XVqfT1574bptNp689ab+0Ooc6HgTgr6tt9F26FAIDqelak//z98X5dCxPBPhR07WmI69EREQuotgti3feeWdpxCEi5U1gIGv/9yLxDOWedxtz/C9vgqYGAVCtHcTMisF/S2Pevgeir/8CAl/J23V6mwFMb+OYsEVEpHiKVCwOHjy4yAeMiIi45GBEpPyISopi8+6FxI/oR9OsOjAthnr31cOoamBmm8Q8GcP64c6su/M4cevCier6AC28Wzg6bBERKaYi3YauWbNm3svDw4OffvqJrVu35q3ftm0bP/30EzVr6naSSGUR7BXMgGYDSI9+lWOnszDdDPY/sJ9f6vzC/rH7Md0Mjp3O4lT0Qm5sfiPBXsGODllERC5BkVoW33333bz/fvTRRxk2bBivv/46FosFAKvVytixY/Hw8CidKEWkZGJjISnp3/c2G84JCTnLnAr4zujlddH5mQ3DIPz6cFosaEmPdQ9jpDvlDbZ95NUjGOkmPdfaWNzmFxYM26OZWUREyqliP7P4zjvv8PPPP+cVigAWi4VJkyZx9dVX8+KLLxb5WOvXr+fFF19k27ZtxMfH88UXX3DTTTflrb/rrrtYsmRJvn369evHihUrihu2SOUVGwvBwZCenrfICah3oX3c3CAq6qIFY2DNQJ6+ehZH3onl95ZBuE/Mxi9jE/GL/EibB7Xj/uaZq5/WzCwiIuVYsYvFM2fOsHfvXpo3b55v+d69e7HZbMU61qlTp2jdujX33HNPoc9FXnfddflaNl1cNHCvSLEkJeUUikuX5hSNgM1mIyEhAV9fX5z+27IYFQXDh+fsd5FiESCsexjN7mtOTLPJmPEmjAuDheEYDxoE7X+J/d33lcZViYjIZVLsYvHuu+9m1KhRHDx4kE6dcgbSjYyM5LnnnuPuu+8u1rH69+9P//79L7iNi4sLvr6+xQ1TRP4rOBjatQPAmp3N+gMHsO7bR/369QkNDc13t6A4vlr+FX8t/BMeXgytX4CxY6FFS8zfHuGv8D/5qvlXxeokJyIiZUuxi8U5c+bg6+vLSy+9RHx8PJAzUPfDDz/M5MmT7R7g2rVr8fHxwdPTk549e/L0009Tp06dQrfPzMwkMzMz731qaiqQ05JS3JZPe8k9t6POX1Eoj5fIZsOJnPxhsxEREcFDDz3EoUOH8jbx9/dn7ty5OUXdf7a/EKvVyoQJE+AwsHILNNgDN98MyXtgxRaMeIOJEycyYMCASy5GyzJ9Ju1HubQf5dI+KkMei3ptxS4WnZyceOSRR3jkkUfyCrHS6thy3XXXMXjwYBo2bMjBgwf5v//7P/r378/GjRsL/cMze/ZsZsyYcd7yuLg43N3dSyXOizFNk5MnT2IYhh7yLwHl8dI4JyRQD0hISOCrRYsYO3Yspmnm2+bw4cMMGzaMV199lRv9/fO2z4qNveCxN23a9G/RuRoIfQeufACi3oE1Of9mcXFxfP7553Tp0qVUrs+R9Jm0H+XSfpRL+6gMeUxLSyvSdsUuFnMlJiayb1/Os0hXXHEFXl5el3qoQt166615/33VVVfRqlUrGjduzNq1a+nVq1eB+zz++ONMmjQp731qaioBAQEEBAQ4rLe2zWbDNE0CAgLOfz5Mikx5vERne0F7+/jwzAMPnFcoQs4vRcMwePbZZxm1bBlAzuMfF3lm8Zdffvn3TSbw3nbodx+sPPv+LKvVSmARnn8sb/SZtB/l0n6US/uoDHnMbfS7mGIXi6dOnWL8+PG89957ec2XFouFESNGsGDBAtzc3Ip7yCJr1KgRXl5eHDhwoNBi0cXFpcBOME5OTg79x849f0X9wF0uyuMlOJur33buzHfr+b9yWwF/27mTDuTkusBhdc5Rv379/Av2nn0VsF1F/TfTZ9J+lEv7US7to6LnsajXVeyrnzRpEuvWrePrr78mOTmZ5ORkvvzyS9atW1cqzyye69ChQxw/fhw/P79SPY9IRZR07jiLdtgOIDQ0FH9//0Jv0RiGQUBAAKGhoUU+poiIlC3FLhY///xz3n77bfr374+HhwceHh5cf/31vPnmmyw7e/uqqP755x927tzJzp07Afjrr7/YuXMnsbGx/PPPPzz88MNs2rSJmJgYfvrpJwYOHEiTJk3o169fccMWqfT++6hIEEE8xVMEEXTB7S7EYrEwf/58gPMKxtz38+bNq5CdW0REKotiF4vp6enUrVv3vOU+Pj6knzPob1Fs3bqVtm3b0rZtWyCn1bJt27Y8+eSTWCwWdu3axY033kizZs0YNWoU7du3Z8OGDRprUaSY4ry9MVu1wueaa6BZM2jalJAmA+hOd7o0uQGaNoVmzah77bWYrVpxqBgF4+DBg1m2bNl5t6T9/f1ZtmyZhs0RESnniv3MYkhICE899RTvvfcerq6uAJw+fZoZM2YQEhJSrGN17969wIftc61cubK44YnIf2SaJleHh3MoIwOefjpveZtHzv6sPYSPnx8CwFGgU0YGAeHhRJsmRf1aNnjwYAYOHMiGDRuIj4/Hz8+vRGM3iohI2VHsYnH+/Pn069cPf39/WrduDcBvv/2Gq6urijuRMsgZ8E9MxNdam4VnarBnzx+8Gb2Mq357kOSqmbTa6ULIgle4r+lQWrZswdiq/1D1eBLOTZoU6zwWi4Xu3buXyjWIiIjjFLtYvPLKK4mOjuaDDz5g796cbo+33XYbd9xxB9WqVbN7gCJSMoa3N9M//pg/k2aRvjeDhjTiWR7BZmTT1nyVP4wpPBuR08yYTgajrqhCI6+PMQYMcHDkIiJSFlzSOItubm7cd9999o5FREpDYCB9ly5l6qwYgvea7Gi9jdW9VjAveDw+bZ6hxpEz3LZuGr1+uo42v7Un7hqD+6ctLdK80CIiUvEVu1g8fvx43nR7cXFxvPnmm5w+fZoBAwbQtWtXuwcoIiVnNGhA1xfcece2i3vebU+nPl2w9K4PgYHU6ODEYxumk/1bNm/fA8NfuAqjdm1HhywiImVEkXtD//777wQFBeHj48MVV1zBzp076dixI3PnzmXRokX07NmT5cuXl2KoIlISzY1UPhgUxbdDT5M9JxtropXsE9lkHc0ie04239x8mg9v2ssVTkWb/klERCqHIheLjzzyCFdddRXr16+ne/fu3HDDDfzvf/8jJSWFkydPMmbMGJ577rnSjFVELpFpmoxfMR7PhK/IsFXDdDM4Pu04G703sn/sfkw3gwxbNWolLGf89+MvOEqBiIhULkUuFrds2cIzzzzDNddcw5w5czhy5Ahjx47NmwZn/PjxeR1eRKRsiUqK4pv93/BQ01B6bzAw0k0ytmQQOC2QlPUpGOkmfdYbTGrala/3f01UUpSjQxYRkTKiyM8snjhxAl9fXwBq1KhB9erV8fT0zFvv6elJWppuX4mUWGwsFGPKPby8LtoZJdgrmAHNBvDOxrd5Pagn64IzaPRMHa69OojoO2qwafQfXJ3hwtsb3+LG5jcS7BVcwosQEZGKolgdXAqbzktE7CQ2FoKDoTizIbm5QVTUBQtGwzAIvz6cFgtb8PWTH7HFbwSZWancbppMP3UI5nqQdGQxx3YdY0H/Bfp/W0RE8hSrWLzrrrvyptrLyMjg/vvvp3r16gBkZmbaPzqRyiYpKadQXLo0p2i8mKgoGD48Z7+LtC4G1gxkZo+ZTFk1hbm33sLE+Cym/Pknm1JTmV/PhYnbwnmp70sE1tSQOSIi8q8iF4sjR47M93748OHnbTNixIiSRyQiOYViu3Z2P+yDnR/k/V3vs3htGG2uCmfe4cN0dnfnnTX30sa3DeM7j7f7OUVEpHwrcrH47rvvlmYcInIZVHGqwqIbFtH5rc7cFrgJ0yuUNhnbefPoLiLvjaSK0yWN0y8iIhVYkXtDi0jF0LF+R8Z1HMfy7dN4xfs076+bSFjHMDrU6+Do0EREpAxSsShSCc3qMQv3qu70er8Xnq6ezOo5y9EhiYhIGaViUaQS8nDxYEbnGQR4BBB+fTgeLh6ODklERMooPaAkUsZZrVY2bNhAfHw8fn5+hIaGYrFYSnzcfg36cV/ofTg56TujiIgUTn8lRMqwiIgIgoKCuLvH3ey7fR9397iboKAgIiIiHB2aiIhUEmpZFClj4ry9SbRaWf3llzz8+ONQrRq3NbmO7ge6s6/JcT52WsWQxx/nRYuFnvXq4ePlhb+jgxYRkQpLxaJIGZJpmlwdHs6hU6egZk144w0A2jySs75N7SF8/PwQAB4GOHWKgPBwok0TF8eELCIiFZyKRZEyxBnwT0ykdoY7PtNeAhNOtIarfptCctVMWu10od1Lc6j9G2DAsVmTcUtLwrlJE0eHLiIiFZSKRZEyxPD2ZvrHH/Nn0iyCY6fmLIwDm5FNW/NV/jCm8NI3U/O2j5oNjbw+xhgwwEERi4hIRadiUaQsCQyk79KlPDJ1P8F7q7K+0Vo+a/Mh3l+kksxRavEbiYM9uHnn7XT9szsHO2Zz/6ylF50XWkRE5FKpWBQpY4wGDegxtzrvVN3NPe92JzrxIEvNpTkrzaPc+UNfuqZ15+174Lbn22J4eTk2YBERqdA0dI5IGdTC8g9Lb4ri0/5JjEobhSeeuOOOJ57ck3YPn1yfxAcDo2hZ5ZSjQxURkQpOxaJIGWOaJuNXjKf20a+wVPMiw5LFRCbyFV8xkYlkWLKwVPPC8+iXjP9+PKZpOjpkERGpwFQsipQxUUlRfLP/Gx5qGkrvDQauVmdCa3YlbXAaoTW74mp1ps96g0lNu/L1/q+JSopydMgiIlKBqVgUKWOCvYIZ0GwA72x8G7cgF9Z1hazIFgz4fABZkS1Y1xXcGrrw9sa3uLH5jQR7BTs6ZBERqcDUwUWkjDEMg/Drw2mxsAVfP/kRW+qNZMWpQ/Q1vZl+6hDM9SDpyGKO7TrGgv4LMAzD0SGLiEgFppZFkTIosGYgM3vMJHzbAm6rkcmm1FQmHzzIptRUbquRycJt4czqMYvAmhoyR0RESpeKRZEy6sHOD9LatzXvrhlHZ3d35h46RGd3d95ZM5Y2vm0Y33m8o0MUEZFKQMWiSBlVxakKi25YxG8JO2mbsYPW1avTJmM7vx/dxaIBi6jipKdIRESk9KlYFCnDOtbvSFinMN5fN5Hwupm8v24iYR3D6FCvg6NDExGRSkLFokgZ93TPp6npWpMeS3rg6erJrJ6zHB2SiIhUIioWRco4DxcPwvuHE+ARQPj14Xi4eDg6JBERqUT00JNIOTAoeBCDggc5OgwREamE1LIoIiIiIoVSsSgiIiIihVKxKCIiIiKFUrEoIiIiIoVSBxeRs6xWKxs2bCA+Ph4/Pz9CQ0OxWCyODktERMShVCyKABEREUyYMIFDhw7lLfP392f+/PkMHjzYgZGJiIg4lkNvQ69fv54BAwZQr149DMNg+fLl+dabpsmTTz6Jn58f1apVo3fv3kRHRzsmWKmwIiIiGDp0aL5CEeDw4cMMHTqUiIgIB0UmIiLieA4tFk+dOkXr1q1ZuHBhgetfeOEFXnnlFV5//XUiIyOpXr06/fr1IyMj4zJHKhWV1WplwoQJmKZ53rrcZRMnTsRqtV7u0ERERMoEh96G7t+/P/379y9wnWmazJs3j6lTpzJw4EAA3nvvPerWrcvy5cu59dZbL2eoUhHFxrJjxQq8Dx3Cu7BtTBPi4tjx9tt0uO46CAy8nBGKiIg4XJl9ZvGvv/4iISGB3r175y2rWbMmnTt3ZuPGjYUWi5mZmWRmZua9T01NBcBms2Gz2Uo36ELknttR568o7JrH2FiMli3pkJ7O9qJsP2YMppsb5p49FaJg1GfSPpRH+1Eu7Ue5tI/KkMeiXluZLRYTEhIAqFu3br7ldevWzVtXkNmzZzNjxozzlsfFxeHu7m7fIIvINE1OnjyJYRgYhuGQGCoCe+bRefdu6qWns3HcOMYV8hjEuRaOG0fIwoXE795NVonOXDboM2kfyqP9KJf2o1zaR2XIY1paWpG2K7PF4qV6/PHHmTRpUt771NRUAgICCAgIwMPDwyEx2Ww2TNMkICAAJycNbXmp7JrHpCQAOowYQeKXX3L48OECn1s0DAN/f386jBgBCxfi6+tbYVoW9ZksOeXRfpRL+1Eu7aMy5DH37uvFlNli0dfXF4CjR4/i5+eXt/zo0aO0adOm0P1cXFxwcXE5b7mTk5ND/7Fzz19RP3CXi93yeHb/qlWqMH/+fIYOHYphGPkKxtxvkvPmzaNqlSp556eC/BvqM2kfyqP9KJf2o1zaR0XPY1Gvq8xefcOGDfH19eWnn37KW5aamkpkZCQhISEOjEwqmsGDB7Ns2TLq16+fb7m/vz/Lli3TOIsiIlKpObRl8Z9//uHAgQN57//66y927txJ7dq1CQwMZOLEiTz99NM0bdqUhg0bMm3aNOrVq8dNN93kuKClQho8eDADBw7UDC4iIiL/4dBicevWrfTo0SPvfe6zhiNHjmTx4sU88sgjnDp1itGjR5OcnMy1117LihUrcHV1dVTIUoHEeXuTaLXCOQ/4erRvT+6Trb+lp/+7sdWKj5cX/pc3RBEREYdzaLHYvXv3AjsV5DIMg5kzZzJz5szLGJVUBpmmydXh4Rw6dQq2bctbHvQXjFwCS0ZCTMP8+wSEhxNtmpz/RKyIiEjFVWY7uIiUJmfAPzERl7p1+aRdO3IHRchcl0DmusP061kfl6E5naxM4Jbt2/FOSsK5SRNHhSwiIuIQZbaDi0hpMgyD6UuWcNA0ScrOpp27O+3c3fnnxxgA/vkxJm9ZUnY2B02T6UuWVNixtkRERAqjlkWptPpu2ULf404s+v4gIVdUIT0rHetmK6k1UqkeWZ2EjQm4ObuxaO9B+lZzou+WLY4OWURE5LJTsSiVlgE8+mgmTgdtbD876Z/FYsH7gTNkvmxh79V7ARgP2BpnozZFERGpjHQbWionLy9wc6PRwfcB2N4+hdGjR7P/qjvp+uKt7Gt1J6NHj2Z7+xQAGh18D9zccvYTERGpRNSyKJVTYCBERRGUlMT+10/R7s2a9Pe/mzFv9gKnKtxvO0P00z/RbltNskZbCBrzEHg9UyGm+hMRESkOFYtSeQUGQmAgv9/1MgePNWDYlyFYX2+N6eyELcvGoC/T+eSmJJqOjKNvu4ccHa2IiIhD6Da0VGp/J//Nk2un0ZRMTrvCz/fu4Zc6v/DzfXs47QpNyeTJtdOITYl1dKgiIiIOoWJRKi3TNAn7PozazrXptLkB1TLg9C9pNJjWgNM/p1EtAzpHBlHLuRZh34VdcAB5ERGRikrFolRaUUlRfLP/G8a1Gke1htWwDqjJne+YLBhh5c53TKwDalKtUTXCWoXx9f6viUqKcnTIIiIil52KRam0gr2CGdBsAOG7w2n8Q2N6ftmGKxp4MPfQIa5o4EHPL9vQeFVjFuxewI3NbyTYK9jRIYuIiFx2Khal0jIMg/Drw0nOSObJdU9iGAazgoJoXb06s4KCMAyDaeumkZKRwoL+CzR7i4iIVErqDS2VWmDNQGb2mMmUVVMY3mo4vet3ZGft2gBsObyF8M3hvNT3JQJrasgcERGpnNSyKJXeg50fpLVva8Z8M4YztjMAnLGdYfQ3o2nj24bxncc7OEIRERHHUcuilG2xsZCUlPPfNhvOCQk5750K+Z7j5VXsgbOrOFVh0Q2L6PxWZxZELuChkId4JfIVdh3dReS9kVRx0v8mIiJSeemvoJRdsbEQHAzp6UBOM3i9i+3j5gZRUcUuGDvW70hYpzCmrZlGx/odmbZmGmEdw+hQr8MlhS4iIlJRqFiUsispKadQXLoUgoOx2WwkJCTg6+uLU0Eti1FRMHx4zn6XMC3f0z2f5vOoz+mxpAd1q9dlVs9ZdrgIERGR8k3FopR9wcHQrh3YbGTFxuYUgoXdhi4BDxcPwvuHM3nVZF7u9zIeLh52P4eIiEh5o2JRyrQ4b28SrVZIS8Nms3H49GlWrF3LiePH8fL2pm3btlhyC0erFR8vL/xLcL5BwYMYFDzILrGLiIhUBCoWpczKNE2uDg/n0KlTsG3bvyucnMDbO+e/d+zIt09AeDjRponLZYxTRESkIlOxKGWWM+CfmIhL3bqMSU7mkUcegf/Oz3x2oOwXXniBN2rVwjspCecmTS5/sCIiIhWUxlmUMsswDKYvWcJB0+SFN96A/fshOpqg6Gyeir6doOhs2L8fIzqaFxYt4qBpMn3JEs20IiIiYkcqFqVM67tlC1edPk3S//6XtyzEO4TudKeLdxcATNMk6frruer0afpu2eKoUEVERCokFYtSphnALX/9BS1bQseO4AJt3NoA0KZ6G3AhZ3nLltzy11+oTVFERMS+9MyilHm901xZsuIg9ByDUTWFq7ZcxXGn47Q63IpmHZphdh0DKw7S29PV0aGKiIhUOCoWpcyzvNeERX/Yzr57g2wjm0XmIqaYU3hj4xuw8ex2LdRQLiIiYm/66yplnldwMgBrQ1IY8/xBZnMniaxiNncy5vmDrA1JydmuRbLjghQREamgVCxK2eXlBW5uBH0+kCMB79B9Y0067WvMox0C2Q482iGQznsb031jTY74v03QsoE5c0N7eTk6chERkQpDt6Gl7AoMhKgo/o79nfvWDmXuz+0Z9U5r/u+DGdj++J2nW1zFM3fA/ut2Mumaz7m2+zcEBl51SfNCi4iISMHUsihlmhkQQFjc63i61eHqxr2wVYPrXq9GtWc60e/1aphuBtc06UNNN0/C4t7ADAhwdMgiIiIViopFKdOikqL4Zv83jG0/ltTlqTidhna/GywZkfPTSDdJiUhhXPtxfL3/a6KSohwdsoiISIWiYlHKtGCvYAY0G8Dbv75N1cCquF3nhvPGK9gRVh3XTcF4DfGiaoOqvPXrW9zY/EaCvYIdHbKIiEiFomJRyjTDMAi/Ppyj5lHef+J9fF7zoXczb3Z27Ejv5j5cuexK3v+/9zlmHmNB/wWa6k9ERMTO1MFFSk3cn3+SePx4kbf3qVMH/0aNzlseWDOQmT1mMmXVFHr59iLwnA4sWw5vIXxbOC/1fYnAmurYIiIiYm8qFqVUZP79N1dv28Yhb+8i7xPw119EWyy4NGhw3roHOz/I+7+9zxMbn6B/m/44OzlzxnaG0d+Mpo1vG8Z3Hm/P8EVEROQsFYtSKpyTkvA/dgwXT08+qVnzgnM2m8AtKSl4JybinJQEBRSLVZyq8PoNrxPydgjhm8OZdPUkXol8hV1HdxF5byRVnPRRFhERKQ36CyulwjAMpi9ZwnUvvEBS48b0q1270G1XnjjBwV27WLhkCUZISKHbdazXkRFXjODJtU/Syb8T09ZMI6xjGB3qdSiNSxARERHUwUVKUd8tW+hisTA9JgbTNAH48qsvebHNi3z11VcAmKbJ9JgYulgs9N2y5aLHnNx2MjVda9JjSQ88XT2Z1XNWqV6DiIhIZadiUUqNAUx3cWFTaiqrTp4kNTOV79/4no6/deS7Rd+RmpmzfFNqKtNdXC54qzqXu7M7r1z3CgEeAYRfH46Hi0dpX4aIiEilptvQUqr6Wix08fBgekwMHY4upml0UwCa7G/C1NXT2FJ3JF08POh7tuWxKAZdMYghLYaUVsgiIiJyDrUsSqnKPGYyI8WH41tTWbU6jjaH2uDs60zbQ21ZuTqW41tTmZHiQ1Zi0YtFERERuXzKdMvi9OnTmTFjRr5lzZs3Z+/evQ6KSIprz8PpOO85wCIAJmBUNWj0fCP23buPN+ZMOLvVAXa3dKK948IUERGRQpT5lsWWLVsSHx+f9/r5558dHZIUQ53QqgCsbbOL0W9Axubm+I7wJWNzc0a/AWvb/JazXdeqjgxTREREClHmi8UqVarg6+ub9/Ly8nJ0SFIMxh0neL/X+3Tf2YqhO12YbjuS0wPadoSbd7jQfWdr3u/9Pk63n3B0qCIiIlKAMn0bGiA6Opp69erh6upKSEgIs2fPzjfd239lZmaSmZmZ9z41NRUAm82GzWYr9XgLkntuR53fIWw2DGDc78+x8/q/mNRyEn1fSeT13pk8at3PvrhUZr8O3hO8WRG4gmO/R/MVYNpsUEieKmUeS4lyaR/Ko/0ol/ajXNpHZchjUa+tTBeLnTt3ZvHixTRv3pz4+HhmzJhBaGgou3fvxt3dvcB9Zs+efd5zjgBxcXGF7lPaTNPk5MmTGIaBYRRlgJjyzzkhgWRv+PbYzzxa706y/zqM4VKV6XOh1c/x+F9rYrhA9l+HubNlL54/8j5R3lArIYGs2NgCj1kZ81halEv7UB7tR7m0H+XSPipDHtPS0oq0nWGaxRizxMGSk5Np0KABL7/8MqNGjSpwm4JaFgMCAjh58iQeHo4Zk89msxEbG0tgYCBOTmX+zr99xMZCyxbcNPA0O3wNPp77Cdl4Y1b5h5XXZdFvhTPGmRpUJZFbHrqF9vEmX3xVDfb8AYW0HFfKPJYS5dI+lEf7US7tR7m0j8qQx9TUVDw9PUlJSblgjVSmWxb/q1atWjRr1owDBw4Uuo2LiwsuLi7nLXdycnLoP3bu+SvqB+48QUEQtZfw2N9pu2o4CU2sNG9QhWaP+dKjthNZE2zsfy6DvbFnOF2jJgvGLcXp+asKLRRzVbo8liLl0j6UR/tRLu1HubSPip7Hol5XuSoW//nnHw4ePMidd97p6FCkKAIDCQwM5AnLNG4xhrNx9Eac6+fM4+wMnA7ewq2L7uTF614kMOR/jo1VREREClSmS+UpU6awbt06YmJi+PXXXxk0aBAWi4XbbrvN0aFJMTzY+UGuqncVY74ZwxnbGQDO2M4w+pvRtKrXivGdxzs4QhERESlMmS4WDx06xG233Ubz5s0ZNmwYderUYdOmTXh7ezs6NCmGKk5VWHTDInYm7GRB5AIAXol8hV1Hd7FowCKqOJWrBm4REZFKpUz/lf74448dHYLYScf6HQnrFMa0NdPoWL8j09ZMI6xjGB3qdXB0aCIiInIBZbplUSqWGd1mUM2oRvd3u+NmuDG923RHhyQiIiIXoWJRLouIiAhaNW9F0ntJWE9aSXoviVbNWxEREeHo0EREROQCyvRtaKkYIiIiGDp0KHlDeu7N+XHYOMzQoUNZtmwZgwcPdlyAIiIiUii1LEqpslqtTJgwgYLGfs9dNnHiRKxW6+UOTURERIpAxaKUqg0bNnDo0KFC15umSVxcHBs2bLiMUYmIiEhRqViUUhUfH2/X7UREROTyUrEopcrPz8+u24mIiMjlpWJRSlVoaCj+/v4YhlHgesMwCAgIIDQ09DJHJiIiIkWhYlFKlcViYf78+QDnFYy57+fNm4fFYrnssYmIiMjFqViUUjd48GCWLVtG/fr18y339/fXsDkiIiJlnMZZlMti8ODBDBw4kA0bNhAfH4+fnx+hoaFqURQRESnjVCzKZWOxWOjevbujwxAREZFi0G1oERERESmUikURERERKZSKRREREREplIpFERERESmUikURERERKZSKRREREREplIpFERERESmUikURERERKZQG5S5H4jIySMzOzrds9V9rmLvpZSaFTKZHUPd863yqVsXf1fUyRigiIiIVjYrFciLTZuPqHTs4lJn5nzUe0Gw6U44Dx7flWxPg4kJ05864OKkBWURERC6Nqohywtkw8HdxobGrK1vbt2db+/bckrEa198m8FZ9C66/TeDWjNVsa9+ere3b09jVlfouLjgbhqNDFxERkXJMxWI5YRgG04OCOJiRQVJ2NtbUvXwa+TTPdrqLUU1DeabTSD6JfBpr6l6SsrM5mJHB9KAgDBWLIiIiUgIqFsuRvp6edPHw4Km//uK+b0bTxrcN91S/hz0372FU9VG09m3N6G/G8NRff9HFw4O+np6ODllERETKORWL5Uhu62JkWhq7spxZNGARyd8lk7gskZTvU1h0wyJ2ZlYhMi1NrYoiIiJiFyoWy5nmRipOaVHUbfko7f3ak7w2GYDktcl0qNcB3ysfxSltL1c4pTk2UBEREakQVCyWI6Zp8vgHj9MuMhL3A7X5Yc1hUn5OwdnXmeQNyfyw5jDuB+rQNnIjj3/wOKZpOjpkERERKec0dE45EpUURdfZXRlzJPjskgOYVQ0aPd+Ifffuw7nXARYBcDdR9aKIGhZFC+8WjgtYREREyj21LJYjwenVOdE+HoDMnjD6Dcj41AXfK4+Q8akLo9/IWQ5won08wenVHRitiIiIVAQqFsuL2FiMFi24c/0slnZ9B5fVMPTro0w/vA2zfXumH97GzV8dw2U1vN/1be5cPwujRQuIjXV05CIiIlKOqVgsL5KSID2dwIVLaRHmxachn9L3m7rs82vJY9//zD6/lvT51odPQz7lyjAfAhcuhfT0nP1ERERELpGKxfImOJgHh7yAr6svmc6ZzAyvQv/+2cwMr0Kmcya+1XwZP+R5CA6++LFERERELkLFYjlkwUK3P7rhkuVCo63pLB9updHWdFyyXOj2RzcsWBwdooiIiFQQKhbLIdtpG1m1svil/i/ccc8tzF/fmzvuuYVf6v9CVq0sbKdtjg5RREREKggNnVMOfbnyS4btG4bVxQoWYCQkn0pmatJULIctfLryUwYHBTk6TBEREakA1LJYzlitViZMmIAVK2QC3wGpZ39mgs2wMXHiRKxWq2MDFRERkQpBLYvlzI4dOzh06NC/C/aefZ1lmiZxcXHs2LGDDpc9OhEREalo1LJYziQVcSicom4nIiIiciEqFssZLy8vu24nIiIiciEqFsuZtm3b4u/vj2EYBa43DIOAgADatm17mSMTERGRikjFoh1YrVZmLZuFz7M+PL3s6VLtXGLZv58lEybQ1jRpB7Q959UOaGuaLH7wQSz795daDCIiIlJ5lIticeHChQQFBeHq6krnzp3ZvHmzo0PKExERQWDTQJ7c+CSJGYlM2ziNwKaBRERE2PdEXl7g5gbDh9Pz4YfZBmwDtp/zyl3W8+GHYfjwnO11O1pERERKoMz3hv7kk0+YNGkSr7/+Op07d2bevHn069ePffv24ePj49DYIiIiGDp0KOZ1JrgCS4DhcOSKIwwdOpRly5YxePBg+5wsMBCiovLN9Wy1WtmxYwdJSUl4eXnRtm1bLJZzZm/x8srZT0REROQSlfli8eWXX+a+++7j7rvvBuD111/n22+/5Z133uGxxx5zWFy54x2afiZ0AlYCscAaoC+Yu0wmTpzIwIEDC32+sNgCA/MVfxagQ8eO9jm2iIiISAHKdLGYlZXFtm3bePzxx/OWOTk50bt3bzZu3FjgPpmZmWRmZua9T01NBcBms2Gz2W8avHXr1nHoyCG4D0gAcu+MRwKtgBsg7s041q1bR9euXe1+/sooN4fKY8kpl/ahPNqPcmk/yqV9VIY8FvXaynSxmJSUhNVqpW7duvmW161bl7179xa4z+zZs5kxY8Z5y+Pi4nB3d7dbbLt374bOQF3gLQiyBTGSkSyxLSHm65icIrJTznYNGzbk5MmTGIZhv1bGSsg0TeXRTpRL+1Ae7Ue5tB/l0j4qQx7T0tKKtF2ZLhYvxeOPP86kSZPy3qemphIQEEBAQAAeHh52O493E2/oQU6L4hEIIYTudGcf+4g5EpOzvGfOdgEBAZimSUBAAE5O5aJPUZlks9mURztRLu1DebQf5dJ+lEv7qAx5zL37ejFlulj08vLCYrFw9OjRfMuPHj2Kr69vgfu4uLjg4uJy3nInJye7/WObpskHyR9gybZgXZMzTE4b2uT9/JiPYTVYrrTwYfKHDDOG5Z2/on7gLhfl0X6US/tQHu1HubQf5dI+Knoei3pdZfrqnZ2dad++PT/99FPeMpvNxk8//URISIjD4lodv5vIqGMMd/s/mtbtRbPA3lxltOK4JYVWRmuaBfamad1eDHf7PzbtPcqa+N0Oi1VERESkJMp0yyLApEmTGDlyJB06dKBTp07MmzePU6dO5fWOvtwybTbu+vsfZi57geC9cBc9AciuAoumuDJlDrwR+0TOxjOg8xU9uad/Oj/42u8WuIiIiMjlUqZbFgFuueUW5syZw5NPPkmbNm3YuXMnK1asOK/Ty+XibBj4u7gQdW1O6g6GHsV1bXPi3odu7RKJex9c1zbnYGjOrfM/Qp2o7+yMs0OiFRERESmZMt+yCBAWFkZYWJijwwBy5l6eHhTEdXfsognHafVWXazf/sk9L3TP2+aXh3+h8Ya67Lr3OOG31+G7Bg0w/vnHcUGLiIiIXKIy37JYFvX19KSLhwcf3h/Emt5ryH4xm/T4dLJPnP05J5s1vdfw4f1BdPHwoK+np6NDFhEREbkkKhYvQW7rYmRaGlf59eZ01dOsum0Vv9T5hZW3r+R01dNcVb83kWlpTA8KqrDjM4mIiEjFp2LxEvX19CSkhjtVV9ioll0NY4uBMcHAabMT1bKrUfU7GyE13NWqKCIiIuVauXhmsSwyDIOn6jYg2mc31TpV57GOD3DA6QBNH2nKvC1LiP37FE/VbYBhGJim6ehwRURERC6JisUS6OtfhxnvumNaDJ5xfZYpP0zmmb7P8tQAC4bVnV/86zg6RBEREZES0W3oEjAMg6caN2RTairVfbvx54Q/cavblU2pqTzVuKGeVRQREZFyT8ViCeX2jJ4eE4NpmkyPiVEPaBEREakwVCyWUG7P6E2pqUw+eJBNqanqAS0iIiIVhopFO8htXZx76JBaFUVERKRCUbFoB4ZhMCsoiNbVqzNLrYoiIiJSgag3tJ30rl2bnbVrOzoMEREREbtSsXgpYmMhKano26uIFBERkXJKxWJxxcZCcDCkpxd5F8PNDcuqVRAYWIqBiYiIiNifisXiSkrKKRSXLs0pGi8mKgpj+HAsJ0+WfmwiIiIidqZi8VIFB0O7do6OQkRERKRUqTe0iIiIiBRKxaKIiIiIFErFooiIiIgUSsWiiIiIiBRKxaKIiIiIFErFooiIiIgUSsWiiIiIiBRKxaKIiIiIFEqDcl+qqCj7biciIiJSBqlYLC4vL3Bzg+HDi7yL6eaG1dOzFIMSERERKR0qFosrMDCntTApqci7mLVrYy3FkERERERKi4rFSxEYmPMqKpsNYmNLLx4RERGRUqIOLiIiIiJSKBWLIiIiIlIoFYsiIiIiUigViyIiIiJSKBWLIiIiIlIoFYsiIiIiUigViyIiIiJSKBWLIiIiIlIoFYsiIiIiUigViyIiIiJSqAo/3Z9pmgCkpqY6LAabzUZaWhqpqak4Oak+v1TKo/0ol/ahPNqPcmk/yqV9VIY85tZGubVSYSp8sZiWlgZAQECAgyMRERERKXvS0tKoWbNmoesN82LlZDlns9k4cuQI7u7uGIbhkBhSU1MJCAggLi4ODw8Ph8RQESiP9qNc2ofyaD/Kpf0ol/ZRGfJomiZpaWnUq1fvgq2nFb5l0cnJCX9/f0eHAfx/e3cb09T1xwH8WyzlQXkYKtaKCMyBVh26zZmqsXRRhBh1aKJz6tQYFxzoYErcQ9zMjMElDjVEZVsWcNuruYhhONhU2ory4BPE6Rw6ppBJkWwKUgEp9vxfLNz/Cr3SOaQo30/SFz3n9OScb24uv972FsDf3/+pPeD6EnPsPcyydzDH3sMsew+z7B1Pe44Pu6LY6en8EJ6IiIiIegWLRSIiIiKSxWKxD3h5eeGjjz6Cl5eXu5fyRGOOvYdZ9g7m2HuYZe9hlr2DOf7fU3+DCxERERE9Ol5ZJCIiIiJZLBaJiIiISBaLRSIiIiKSxWKRiIiIiGSxWHxEJ0+exPz586HRaKBQKHDkyBGpz2azYcuWLZg0aRIGDx4MjUaDN954A3V1dQ5z3L59G8uXL4e/vz8CAwOxdu1aWK3WPt6J+z0sy64SExOhUCiwZ88eh3Zm6VqOV65cwYIFCxAQEIDBgwdj6tSpqK2tlfrb2tqQlJSEoUOHYsiQIVi8eDFu3brVh7voH3rK0mq1Ijk5GSEhIfDx8YFWq0VWVpbDGGYJpKenY+rUqfDz80NwcDBeffVVVFVVOYxxJafa2lrMmzcPvr6+CA4ORlpaGjo6OvpyK27VU463b9/Ghg0bEBUVBR8fH4SGhmLjxo1oampymGeg5wi4dkx2EkIgPj7e6TlgoGXJYvER3bt3D9HR0di3b1+3vpaWFly4cAFbt27FhQsXcPjwYVRVVWHBggUO45YvX47Lly/j2LFjyM/Px8mTJ/Hmm2/21Rb6jYdl+U+5ubkoKyuDRqPp1scse86xuroaM2fOxLhx42AymXDx4kVs3boV3t7e0pjU1FR8//33OHToEMxmM+rq6rBo0aK+2kK/0VOW77zzDgoLC/HNN9/gypUrSElJQXJyMvLy8qQxzBIwm81ISkpCWVkZjh07BpvNhtjYWNy7d08a01NODx48wLx589De3o6SkhIcPHgQOTk5+PDDD92xJbfoKce6ujrU1dVh165duHTpEnJyclBYWIi1a9dKczDHv7lyTHbas2eP038TPCCzFPSfARC5ubkPHXPmzBkBQNTU1AghhPjll18EAHH27FlpTEFBgVAoFOLmzZuPc7n9mlyWf/zxhxg1apS4dOmSGDNmjNi9e7fUxyy7c5bj0qVLxYoVK2Rf09jYKDw9PcWhQ4ektitXrggAorS09HEttd9zluWECRPExx9/7ND2wgsviA8++EAIwSzlNDQ0CADCbDYLIVzL6YcffhAeHh6ivr5eGnPgwAHh7+8v7t+/37cb6Ce65ujMt99+K1QqlbDZbEII5ihHLsuKigoxatQoYbFYup0DBmKWvLLYR5qamqBQKBAYGAgAKC0tRWBgIF566SVpzOzZs+Hh4YHy8nI3rbJ/stvtWLlyJdLS0jBhwoRu/cyyZ3a7HUePHkVkZCTmzp2L4OBgTJs2zeGjlfPnz8Nms2H27NlS27hx4xAaGorS0lI3rLr/mj59OvLy8nDz5k0IIWA0GnH16lXExsYCYJZyOj8WDQoKAuBaTqWlpZg0aRJGjBghjZk7dy7u3r2Ly5cv9+Hq+4+uOcqN8ff3h1KpBMAc5TjLsqWlBa+//jr27dsHtVrd7TUDMUsWi32gra0NW7ZswbJly6R/Rl5fX4/g4GCHcUqlEkFBQaivr3fHMvutTz75BEqlEhs3bnTazyx71tDQAKvVip07dyIuLg4//fQTEhISsGjRIpjNZgB/56hSqaQ3NJ1GjBjBHLvIzMyEVqtFSEgIVCoV4uLisG/fPsyaNQsAs3TGbrcjJSUFM2bMwMSJEwG4llN9fb3DH+XO/s6+gcZZjl39+eef2L59u8NXcZhjd3JZpqamYvr06Vi4cKHT1w3ELJXuXsDTzmazYcmSJRBC4MCBA+5ezhPn/Pnz2Lt3Ly5cuOD0uyPkGrvdDgBYuHAhUlNTAQCTJ09GSUkJsrKyoNfr3bm8J05mZibKysqQl5eHMWPG4OTJk0hKSoJGo3G4Skb/l5SUhEuXLuHUqVPuXsoTracc7969i3nz5kGr1WLbtm19u7gnjLMs8/LyUFRUhIqKCjeurP/hlcXHqLNQrKmpwbFjx6SrigCgVqvR0NDgML6jowO3b992etl7oCouLkZDQwNCQ0OhVCqhVCpRU1ODTZs2ISwsDACzdMWwYcOgVCqh1Wod2sePHy/dDa1Wq9He3o7GxkaHMbdu3WKO/9Da2or3338fGRkZmD9/Pp5//nkkJydj6dKl2LVrFwBm2VVycjLy8/NhNBoREhIitbuSk1qt7nZ3dOfzgZalXI6dmpubERcXBz8/P+Tm5sLT01PqY46O5LIsKipCdXU1AgMDpb85ALB48WLExMQAGJhZslh8TDoLxWvXruH48eMYOnSoQ79Op0NjYyPOnz8vtRUVFcFut2PatGl9vdx+a+XKlbh48SIqKyulh0ajQVpaGn788UcAzNIVKpUKU6dO7fYTEVevXsWYMWMAAC+++CI8PT1x4sQJqb+qqgq1tbXQ6XR9ut7+zGazwWazwcPD8fQ5aNAg6Qous/ybEALJycnIzc1FUVERwsPDHfpdyUmn0+Hnn392eEPY+ea765ufp1VPOQJ/X1GMjY2FSqVCXl6ew68cAMyxU09Zvvvuu93+5gDA7t27kZ2dDWCAZunW22ueYM3NzaKiokJUVFQIACIjI0NUVFSImpoa0d7eLhYsWCBCQkJEZWWlsFgs0uOfd0rFxcWJKVOmiPLycnHq1Cnx3HPPiWXLlrlxV+7xsCyd6Xo3tBDMUoieczx8+LDw9PQUn3/+ubh27ZrIzMwUgwYNEsXFxdIciYmJIjQ0VBQVFYlz584JnU4ndDqdu7bkNj1lqdfrxYQJE4TRaBS///67yM7OFt7e3mL//v3SHMxSiPXr14uAgABhMpkczoMtLS3SmJ5y6ujoEBMnThSxsbGisrJSFBYWiuHDh4v33nvPHVtyi55ybGpqEtOmTROTJk0Sv/32m8OYjo4OIQRz7OTKMdkVutwNPRCzZLH4iIxGowDQ7bFq1Spx/fp1p30AhNFolOb466+/xLJly8SQIUOEv7+/WLNmjWhubnbfptzkYVk646xYZJau5fjll1+KsWPHCm9vbxEdHS2OHDniMEdra6t46623xDPPPCN8fX1FQkKCsFgsfbwT9+spS4vFIlavXi00Go3w9vYWUVFR4tNPPxV2u12ag1kK2fNgdna2NMaVnG7cuCHi4+OFj4+PGDZsmNi0aZP0kzADQU85yh2vAMT169eleQZ6jkK4dkw6e03Xn88aaFkqhBCi965TEhEREdHThN9ZJCIiIiJZLBaJiIiISBaLRSIiIiKSxWKRiIiIiGSxWCQiIiIiWSwWiYiIiEgWi0UiIiIiksVikYiIiIhksVgkIuoDJpMJCoUCjY2NLr9m27ZtmDx58mNbExGRK1gsEhF1kZWVBT8/P3R0dEhtVqsVnp6eiImJcRjbWQRWV1c/dM7p06fDYrEgICCgV9caExODlJSUXp2TiOifWCwSEXVhMBhgtVpx7tw5qa24uBhqtRrl5eVoa2uT2o1GI0JDQ/Hss88+dE6VSgW1Wg2FQvHY1k1E9DiwWCQi6iIqKgojR46EyWSS2kwmExYuXIjw8HCUlZU5tBsMBtjtdqSnpyM8PBw+Pj6Ijo7Gd9995zCu68fQX3zxBUaPHg1fX18kJCQgIyMDgYGB3dbz9ddfIywsDAEBAXjttdfQ3NwMAFi9ejXMZjP27t0LhUIBhUKBGzdu9HYcRDTAsVgkInLCYDDAaDRKz41GI2JiYqDX66X21tZWlJeXw2AwID09HV999RWysrJw+fJlpKamYsWKFTCbzU7nP336NBITE/H222+jsrISc+bMwY4dO7qNq66uxpEjR5Cfn4/8/HyYzWbs3LkTALB3717odDqsW7cOFosFFosFo0ePfgxpENFApnT3AoiI+iODwYCUlBR0dHSgtbUVFRUV0Ov1sNlsyMrKAgCUlpbi/v37iImJgVarxfHjx6HT6QAAEREROHXqFD777DPo9fpu82dmZiI+Ph6bN28GAERGRqKkpAT5+fkO4+x2O3JycuDn5wcAWLlyJU6cOIEdO3YgICAAKpUKvr6+UKvVjzMOIhrAWCwSETkRExODe/fu4ezZs7hz5w4iIyMxfPhw6PV6rFmzBm1tbTCZTIiIiIDVakVLSwvmzJnjMEd7ezumTJnidP6qqiokJCQ4tL388svdisWwsDCpUASAkSNHoqGhoZd2SUTUMxaLREROjB07FiEhITAajbhz5450dVCj0WD06NEoKSmB0WjEK6+8AqvVCgA4evQoRo0a5TCPl5fXf1qHp6enw3OFQgG73f6f5iQi+jdYLBIRyTAYDDCZTLhz5w7S0tKk9lmzZqGgoABnzpzB+vXrodVq4eXlhdraWqcfOTsTFRWFs2fPOrR1fe4KlUqFBw8e/OvXERG5isUiEZEMg8GApKQk2Gw2hyJQr9cjOTkZ7e3tMBgM8PPzw+bNm5Gamgq73Y6ZM2eiqakJp0+fhr+/P1atWtVt7g0bNmDWrFnIyMjA/PnzUVRUhIKCgn/90zphYWEoLy/HjRs3MGTIEAQFBcHDg/cuElHv4RmFiEiGwWBAa2srxo4dixEjRkjter0ezc3N0k/sAMD27duxdetWpKenY/z48YiLi8PRo0cRHh7udO4ZM2YgKysLGRkZiI6ORmFhIVJTU+Ht7f2v1rh582YMGjQIWq0Ww4cPR21t7aNvmIjICYUQQrh7EUREBKxbtw6//voriouL3b0UIiIJP4YmInKTXbt2Yc6cORg8eDAKCgpw8OBB7N+/393LIiJywCuLRERusmTJEphMJjQ3NyMiIgIbNmxAYmKiu5dFROSAxSIRERERyeINLkREREQki8UiEREREclisUhEREREslgsEhEREZEsFotEREREJIvFIhERERHJYrFIRERERLJYLBIRERGRrP8BevMjScUMu30AAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "\n", + "M_new = np.arange(min(M), max(M), .1) # Where n is the step size you want.\n", + "\n", + "C22_new = p2[0]*M_new**2 + p2[1]*M_new + p2[2]\n", + "C23_new = p3[0]*M_new**3 + p3[1]*M_new**2 + p3[2]*M_new + p3[3]\n", + "C24_new = p4[0]*M_new**4 + p4[1]*M_new**3 + p4[2]*M_new**2 + p4[3]*M_new + p4[4]\n", + "C25_new = p5[0]*M_new**5 + p5[1]*M_new**4 + p5[2]*M_new**3 + p5[3]*M_new**2 + p5[4]*M_new + p5[5]\n", + "\n", + "r2_C22 = r_squared(C, C22)\n", + "r2_C23 = r_squared(C, C23)\n", + "r2_C24 = r_squared(C, C24)\n", + "r2_C25 = r_squared(C, C25)\n", + "\n", + "fig, ax = plt.subplots(constrained_layout=True)\n", + "ax.grid(True, alpha=0.4)\n", + "\n", + "ax.plot(M_new, C22_new, 'r-', label='Ord2')\n", + "ax.plot(M_new, C23_new, 'g-', label='Ord3')\n", + "ax.plot(M_new, C24_new, 'c-', label='Ord4')\n", + "ax.plot(M_new, C25_new, 'm-', label='Ord5')\n", + "ax.plot(M, C, 'ko', ms=6, mfc='black', label='dado')\n", + "\n", + "ax.annotate(f'Ord2: $R^2$={r2_C22:.2f}', xy=(1-0.25, 1-0.95), xycoords='axes fraction', fontsize=9, color='red')\n", + "ax.annotate(f'Ord3: $R^2$={r2_C23:.2f}', xy=(1-0.25, 1-0.90), xycoords='axes fraction', fontsize=9, color='green')\n", + "ax.annotate(f'Ord4: $R^2$={r2_C24:.2f}', xy=(1-0.25, 1-0.85), xycoords='axes fraction', fontsize=9, color='blue')\n", + "ax.annotate(f'Ord5: $R^2$={r2_C25:.2f}', xy=(1-0.25, 1-0.80), xycoords='axes fraction', fontsize=9, color='magenta')\n", + "\n", + "ax.set_xlabel('Weight')\n", + "ax.set_ylabel('Body Fat')\n", + "ax.legend(loc='best')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 526 + }, + "id": "gx2s_IIV2CH6", + "outputId": "491dd2a3-eff9-4ddf-dd71-014e68738f1c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 39 + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + } + ] +} \ No newline at end of file diff --git a/CalcNumAv4.ipynb b/CalcNumAv4.ipynb new file mode 100644 index 0000000..2b2701a --- /dev/null +++ b/CalcNumAv4.ipynb @@ -0,0 +1,2231 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [], + "toc_visible": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "# Shapes" + ], + "metadata": { + "id": "nnoQUa-78L45" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "\n", + "# Plot the equation\n", + "plt.figure(figsize=(10,6))\n", + "plt.title('Wall - Frame/16')\n", + "plt.xlabel('Comprimento - metros')\n", + "plt.ylabel('Altura - metros')\n", + "\n", + "# Setting the x and y limits\n", + "plt.xlim([0, 3.75])\n", + "plt.ylim([0, 2.1875])\n", + "\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 601 + }, + "id": "GZVZbG2k5j2f", + "outputId": "43f34d5b-39b4-451b-f7f5-409efeb8dfbc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "WARNING:matplotlib.legend:No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Sea" + ], + "metadata": { + "id": "dBHAOkaP8-YH" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$ f(x) = 0.4 \\sin(x) + 7 $$\n" + ], + "metadata": { + "id": "wm_sBYmz8eqo" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "sea_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plot the equation\n", + "plt.figure(figsize=(10,6))\n", + "plt.plot(x, sea_x, label='f(x) = 0.4*sin(x) + 7')\n", + "plt.title('First Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "\n", + "# Setting the x and y limits\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "28Xhiil20NaQ", + "outputId": "043512d0-36c7-47b9-bc08-b846b716d91c" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Sun" + ], + "metadata": { + "id": "ryGxudBT87mo" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$ (x-10)^2 + (y-25)^2 = 25 $$\n" + ], + "metadata": { + "id": "q9l7qGkN8s_h" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define circle's parameters\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(25)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color='orange', label='Circle: (x-10)^2 + (y-25)^2 = 18')\n", + "plt.plot(x, y_negative, color='orange')\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Second Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.grid(True)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "o_TDD2Vz1CJw", + "outputId": "7533e872-1b80-4d27-e4b4-af8a394880be" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Wing 1" + ], + "metadata": { + "id": "rWQQkGBq854o" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$ p(x) = |x-32| \\times 0.3 + 16 $$\n" + ], + "metadata": { + "id": "gONYDleU80MY" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0, 60, 1000)\n", + "\n", + "# Compute p(x) values from the given equation\n", + "p_x_1 = np.abs(x - 32) * 0.3 + 16\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "\n", + "# Plot p(x)\n", + "plt.plot(x, p_x_1, color='brown', label='p(x) = |x-32| x 0.3 + 16')\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Third Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('p(x)')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.grid(True)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "88rhoda31815", + "outputId": "b9f9143c-b286-4104-ce4b-e0b70ec59ac2" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Wing 2" + ], + "metadata": { + "id": "7kF-FgDs831L" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$ p(x) = |x-32| \\times 0.5 + 15.5 $$\n" + ], + "metadata": { + "id": "YZtRCXNX81MJ" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Generate x values\n", + "x = np.linspace(0, 60, 1000)\n", + "\n", + "# Compute p(x) values from the given equation\n", + "p_x_2 = np.abs(x - 32) * 0.5 + 15.5\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "\n", + "# Plot p(x)\n", + "plt.plot(x, p_x_2, color='brown', label='p(x) = |x-32| x 0.3 + 15.5')\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Fourth Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('p(x)')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.grid(True)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "iciJx8-E2EkQ", + "outputId": "2a5e3fb0-b565-487a-9650-4e957bc93afc" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Bird" + ], + "metadata": { + "id": "r0LzO6Iq9Bjv" + } + }, + { + "cell_type": "code", + "source": [ + "def bird_plot(x_pos, y_pos, n, COLOR='brown'):\n", + " x = np.linspace(0, 60, 1000)\n", + " p_x = np.abs(x - x_pos) * n + y_pos\n", + "\n", + " return plt.plot(x, p_x, color=COLOR, label=f'p(x) = |x-{x_pos}| x 0.3 + {y_pos}')" + ], + "metadata": { + "id": "F_kqXkJI4TTo" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def bird(x_pos, y_pos):\n", + " x = np.linspace(0, 60, 1000)\n", + "\n", + " # Plotting\n", + " plt.figure(figsize=(10,6))\n", + "\n", + " bird_plot(x_pos, y_pos, 0.3)\n", + " bird_plot(x_pos, y_pos-0.5, 0.5)\n", + "\n", + " # Setting title, labels, and limits\n", + " plt.title('Bird')\n", + " plt.xlabel('x')\n", + " plt.ylabel('p(x)')\n", + " plt.xlim([0, 60])\n", + " plt.ylim([0, 35])\n", + "\n", + " plt.grid(True)\n", + " plt.legend()\n", + " plt.show()" + ], + "metadata": { + "id": "twFJ6nI34rRY" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "bird(35, 15)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "4DtOyoh04zzI", + "outputId": "136896fd-f157-4821-de4d-226677692187" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Drawing" + ], + "metadata": { + "id": "KjAkaP3q5XrI" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plot the equation\n", + "plt.figure(figsize=(10,6))\n", + "plt.plot(x, f_x, label='f(x) = 0.4*sin(x) + 7')\n", + "plt.title('First Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(18)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color='orange', label='Circle: (x-10)^2 + (y-25)^2 = 18')\n", + "plt.plot(x, y_negative, color='orange')\n", + "\n", + "xs = [32, 38, 45]\n", + "ys = [16, 22, 28]\n", + "\n", + "for i, xx in enumerate(xs):\n", + " bird_plot(xx, ys[i], 0.3)\n", + " bird_plot(xx, ys[i]-0.5, 0.5)\n", + "\n", + "# Setting the x and y limits\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.legend(loc='lower right')\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "T1gG1lYs5W3R", + "outputId": "f664011f-fe9d-47cd-a42e-a25e4c0852c8" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plot the equation\n", + "plt.figure(figsize=(10,6))\n", + "plt.plot(x, f_x, color='black', label='f(x) = 0.4*sin(x) + 7')\n", + "plt.title('First Equation')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(18)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color='black', label='Circle: (x-10)^2 + (y-25)^2 = 18')\n", + "plt.plot(x, y_negative, color='black')\n", + "\n", + "xs = [32, 38, 45]\n", + "ys = [16, 22, 28]\n", + "\n", + "for i, xx in enumerate(xs):\n", + " bird_plot(xx, ys[i], 0.3, COLOR='black')\n", + " bird_plot(xx, ys[i]-0.5, 0.5, COLOR='black')\n", + "\n", + "# Setting the x and y limits\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.legend(loc='lower right')\n", + "plt.grid(True)\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "l66Va2ry7rRY", + "outputId": "6dbc2a7a-82f1-48fa-b189-a61cd8ead242" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Painting individual" + ], + "metadata": { + "id": "ZzqXXbPJ8P9Q" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sea_color = '#40A2E2'\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "plt.grid(True, alpha=0.3)\n", + "\n", + "plt.plot(x, f_x, color=sea_color, label='f(x) = 0.4*sin(x) + 5')\n", + "\n", + "# Fill the area under the curve with blue\n", + "plt.fill_between(x, f_x, color=sea_color, alpha=1) # alpha controls the transparency of the fill\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Plot of f(x) = 0.4*sin(x) + 5')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "RNbfnWtB8Rjv", + "outputId": "1988c120-cf02-4f77-e270-3e29f6129110" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sea_color = '#40A2E2'\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "plt.grid(True, alpha=0.3)\n", + "\n", + "plt.plot(x, f_x, color=sea_color, label='f(x) = 0.4*sin(x) + 5')\n", + "\n", + "# Fill the area under the curve with blue\n", + "plt.fill_between(x, f_x, color=sea_color, alpha=.7) # alpha controls the transparency of the fill\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Plot of f(x) = 0.4*sin(x) + 5')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 15])\n", + "\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "pyf7vmYfJDaI", + "outputId": "af2228e3-eb50-47b5-9b91-6debc004c860" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sun_color = '#FFB400'\n", + "\n", + "# Define circle's parameters\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(25)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color=sun_color, label='(x-10)^2 + (y-25)^2 = 25')\n", + "plt.plot(x, y_negative, color=sun_color)\n", + "\n", + "# Fill the inside of the circle with a custom HEX color (blue-violet in this case)\n", + "plt.fill_between(x, y_positive, y_negative, color=sun_color, alpha=1) # Using HEX color for blue-violet\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Plot of (x-10)^2 + (y-25)^2 = 25')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.grid(True, alpha = 0.3)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "3-MeQaqF_ftI", + "outputId": "9f1b1ddc-dfb8-4499-d67e-628a6dfbb80e" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sun_color = '#FFB400'\n", + "\n", + "# Define circle's parameters\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(25)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(6,6))\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color=sun_color, label='(x-10)^2 + (y-25)^2 = 25')\n", + "plt.plot(x, y_negative, color=sun_color)\n", + "\n", + "# Fill the inside of the circle with a custom HEX color (blue-violet in this case)\n", + "plt.fill_between(x, y_positive, y_negative, color=sun_color, alpha=.7) # Using HEX color for blue-violet\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Plot of (x-10)^2 + (y-25)^2 = 25')\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.xlim([0, 20])\n", + "plt.ylim([15, 35])\n", + "\n", + "plt.grid(True, alpha = 0.3)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "r6FR8pe3Ibuh", + "outputId": "920b0ac1-e632-4be2-e0f2-3679d96abbe9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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tQlJS0iW/LqCMbxg5ciSuv/56LFu2rM7uweaWlJRU6ykpunbtiq5du+KDDz7A9u3bMXr0aIcxOj179qx1uStWrMDjjz+Oe+65B6+99lqt8+Xl5VX70f3111/x1VdfYfDgwdXem127dkGSpCZZF8XFxRgyZAj+/vtvbNy4Ee3bt2/U85tyDExDazGbzTAajQ5bCIUQmDVrFgA4BExyTQww5FI8PT3x8ssvY8yYMbjhhhtw1113IScnB2+88QbatGnj8INc9aPz+OOPIzk5GXq9vtZDyIeHh2PKlCmYOXMmBg0ahFtuuQUZGRmYN28err76aofuhMbo06cPQkNDsX79eocA88MPP2DevHmYMWOGfdfehQsXom/fvpg+fTrmzJlT77LffvttFBQU2I8Z8/XXX9u3UDz22GP2LT5Tp07FypUrceONN+KJJ55AUVERXnnlFXTp0qXawOTc3Fzs27cPqampF9Xe8x07dgy33HILJEnCP//5T6xcudLh8arQ0FJSUlLw0Ucf4c8//0SHDh2qPT5q1Cj861//AoAGr++ff/4Zo0aNQmhoKPr3719td+zevXvbt+jdeeed8Pb2Ru/evREREYGDBw/iv//9L3x8fOzH1TnfunXrcN1119V5SIGGuueee/Dzzz/jgQcewO+//+5wvBU/Pz8MHz68zuc35RiYhtaye/du3HXXXbjrrrvQrl07lJaWYvXq1fjpp58wbty4arvEkwtScQ8oolrVdiTeC9V2JN4VK1aIHj16CKPRKEJCQsQ999xj3/W6SkVFhXjsscdEeHi4kCSpQbvfvv322yIxMVF4enqKyMhIMX78eHH27FmHeRqzG7UQQjz++OOiXbt29vtms1m0bt1aXHnlldV2JZ40aZLQ6XRi27Zt9S63devWte7OmpmZ6TDvgQMHxMCBA4WPj48ICgoS99xzT41HbJ0/f369pxJoqKp1V9tlxowZjV7mpRyJ12KxiLCwMPHCCy/U+HhWVpbQ6/WNOu1DVT21Xc7fDfuNN94Q11xzjQgJCREeHh4iOjpa3HvvvTUekbigoEAYDAbxwQcfNLqdNanrb+Vid31u7lr++usvcfvtt4s2bdoILy8v4ePjI3r27CneffddIctyi9ZM6pCEqGMXCCJqdn/99RcSExPx/fff23fTdVY9evRA37598frrr6tdSrN44YUXsHDhQhw6dMhhjx9A2V05Ojoazz77LKZPn65ShYq5c+dizpw5OHLkyEXtmkzkCngkXiKVJSQkYOzYsTV2EziTNWvW4NChQ5gyZYrapTSbSZMmoaioCJ988km1xxYtWgSbzdaoPYiaQ3l5OV577TVMmzaN4YXcGrfAEBHV4YcffsDBgwcxffp03HjjjVi1apXaJRERGGCIiOrUt29fbN26Fddddx2WLl16Uec+IqKmp2oX0vz589G1a1cEBAQgICAASUlJ+P777+2P9+3b1+FMwZIk4ZFHHqlzmUIIPPvss4iOjoa3tzcGDBiAQ4cONXdTiMhFpaenw2q1YuPGjQwvRE5E1QDTqlUrvPTSS9i1axd++eUX9OvXDykpKfjtt9/s8zz00EPIysqyX+rbfXTOnDl488038e6772LHjh3w9fVFcnKy/bDoREREpH1O14UUEhKCV155BWPHjkXfvn3RvXt3zJ07t0HPFUIgJiYGTz75pP14DSaTCZGRkVi0aFGtx/ggIiIibXGaA9nZbDasXLkSxcXFDkeWXLZsGZYuXYqoqCgMGzYM06dPr/WsspmZmcjOznY4OmlgYCB69eqFbdu21RpgLBaLw8nsZFnGmTNnEBoa2uQnSiMiInJlQggUFhYiJiamWY+urXqA2b9/P5KSklBWVgY/Pz+sXr0anTp1AgDcfffdaN26NWJiYrBv3z48/fTTyMjIqHUvgOzsbABAZGSkw/TIyEj7YzVJS0tr0Hk8iIiIqGFOnDiBVq1aNdvyVe9CslqtOH78OEwmEz777DN88MEH2LRpkz3EnO+HH35A//79cfjwYbRt27ba41V7Cpw6dcrh5F933HEHJEnCihUraqzhwi0wJpMJcXFxyMzMrPccOVomyzJOnz6NsLAwVc9B09zYTtfjLm1lO12Lu7SzoKAA8fHxKCgoqHaS2qak+hYYg8GAdu3aAVDOTbNz50688cYbeO+996rN26tXLwCoNcBERUUBAHJychwCTE5OTo1n1a1y4QnBqgQFBbl8gLFarQgKCnLpDxPb6Xrcpa1sp2txl3ZWae4hGE73Dsqy7LA15Hx79+4FgFpPrR4fH4+oqChs2LDBPs1sNmPHjh1NdvZcIiIiUp+qW2CmTJmCwYMHIy4uDoWFhVi+fDnS09Oxdu1aHDlyBMuXL8eQIUMQGhqKffv2YdKkSbj++usdzlCbmJiItLQ03HrrrZAkCRMnTsSsWbPQvn17xMfHY/r06YiJian3bKpERESkHaoGmNzcXIwaNQpZWVkIDAxE165dsXbtWtx00004ceIE1q9fj7lz56K4uBixsbEYMWIEpk2b5rCMjIwMmEwm+/1///vfKC4uxrhx41BQUIA+ffpgzZo18PLyaunmERERUTNRfRCvMzKbzQgMDMTZs2ddfgxMbm4uIiIiXLo/lu3UNiEEKioqYLPZ7NNkWUZ+fj5CQ0Ndqq0XYjtdi6u0U6/Xw8PDo9YxLgUFBQgODobJZEJAQECz1aH6IF4iotpYrVZkZWWhpKTEYboQArIso7Cw0KWP1cR2uhZXaqePjw+io6NhMBhUq4EBhoickizLyMzMhF6vR0xMDAwGg/1Lv2qrTF3/BboCttO1uEI7hRCwWq3Iy8tDZmYm2rdvr9rWJAYYInJKVqsVsiwjNja22tG3XeGHoCHYTtfiKu309vaGp6cnjh07BqvVqtoYU+12whGRW9DyWAEiV+UMn0v1KyAiIiJqJAYYIiIi0hwGGCKiZpCfn4+IiAgcPXpU7VLw7rvvYtiwYbU+Lssybr/9dkiShCeeeKIFK2uY++67Dy+++KLaZWj+fXQ1DDBERM1g9uzZSElJQZs2bS5pOWlpabjuuuvg4+NT63Gpjh8/jqFDh8LHxwcRERF46qmnUFFRYX/8gQcewO7du/Hjjz/W+Pzx48djy5YteO+99/Dhhx9i1qxZ1eZZtWoVbrrpJoSHhyMgIABJSUlYu3btJbWtIX799Vd89913ePzxxy96GWfOnMFjjz2Gjh07wtvbG3FxcXj88ccdDoIKKOfuufDyySef2B9vivdx9erVGDhwYIu+j+np6UhJSUF0dDR8fX3RvXt3LFu2zGGeRYsWVWu7sx8AlgGGiKiJlZSUYMGCBRg7duwlL8tqteKf//wnxo8fX+PjNpsNQ4cOhdVqxdatW7F48WIsWrQIzz77rH0eg8GAu+++G2+++Wa150+dOhVr1qzB5s2bMW7cOKxbtw6vvfZatRPqbt68GTfddBO+++477Nq1CzfeeCOGDRuGPXv2NLgtixYtQt++fRs8PwC89dZbuP322+Hn59eo553v1KlTOHXqFF599VUcOHAAixYtwpo1a2pcPwsXLkRWVpb9cv5paJrifdyyZQsGDBhwSe9jY23duhVdu3bF559/jn379mHMmDEYNWoUvvnmG4f5AgICHNp+7NixZqupSQiqxmQyCQDi7NmzapfSrGw2m8jKyhI2m03tUpoV26lNpaWl4uDBg6K0tPTcRFkWorxIyNZCYS05K2RroRDlRS1zkeUG175y5UoRHh7uMG3mzJkiOjpanD592j5tyJAhom/fvrWuM1mWhdVqFbIsi4ULF4rAwMBq83z33XdCp9OJ7Oxs+7T58+eLgIAAYbFY7NM2bdokDAaDKCkpsU977bXXRLt27cSxY8cclrlnzx4RFRUlVq5cWWc7O3XqJGbOnFnnPOdbuHChuOGGG6pNP7+d56uoqBCBgYHim2++sU+bOXOmuOKKK6oto1u3bmLatGkNruXTTz8VBoNBlJeX26cBEKtXr67zeZfyPtbWzsa+j01hyJAhYsyYMfb7tf191abGz2els2fPCgDCZDI1Ram14nFgiEg7bCXAWj9IADxb+rWTiwAP3wbN+uOPP6Jnz54O0/7v//4Pa9aswYMPPojVq1fjnXfewdatW/Hrr79e0i6p27ZtQ5cuXRAZGXmu1ORkjB8/Hr/99ht69OgBALjqqqtQUVGBHTt22LeCTJo0CZMmTaq2zO7duyMrK6vO1606omxISMhF116fffv2wWQy4aqrrrJPe+CBBzBz5kzs3LkTV199NQBgz5492LdvH1atWtXgZVcd5t7Dw/FnMDU1FQ8++CASEhLwyCOPYMyYMQ7HbFHjfTx+/Dg6depU53KmTp2KqVOn1jnP+UwmEy6//HKHaUVFRWjdujVkWcaVV16JF198EVdccUWDl9nSGGCIiJrYsWPHEBMT4zBNr9dj6dKl6N69O5555hm8+eab+OCDDxAXF3dJr5Wdne0QXgDY72dnZ9un+fj4IDAwsMm6BV599VUUFRXhjjvuaJLl1eTYsWPQ6/WIiIiwT2vVqhWSk5OxcOFCe4BZuHAhbrjhBiQkJDRouadPn8YLL7yAcePGOUx//vnn0a9fP/j4+OB///sfHn30URQVFTmMv1HjfYyJicHevXvrXE5jguSnn36KnTt3OnRvdezYER9++CG6du0Kk8mEV199Fb1798Zvv/2GVq1aNXjZLapZt+9oFLuQXAvbqU1a7kIaOHCgePTRR2t87L333hMAxJ133ukw/eGHHxa+vr72i9Lc+ruQHnroITFw4ECHacXFxQKA+O677xymx8TEiHnz5jW4HbVZtmyZ8PHxEevWratzvmPHjjm0yWg0Cp1O5zBt9uzZtXatLF++XPj4+FRb7qpVq0RQUJAoLS0VFotFhIaGiiVLlgghhJg9e7bD8i/s1jGZTOKaa64RgwYNElartc76p0+fLlq1alVt+sW+jxe2s6HvY1P64YcfhI+Pj1i8eHGd81mtVtG2bdtau+XYhURE1BiSpHTjCAGgAvDwUKY5mbCwMJw9e7bGxzZv3gy9Xo+jR4/aDysPKP/9/+tf/2r0a0VFReHnn392mJaTk2N/7HxnzpxBeHh4o1/jfJ988gkefPBBrFy5EgMGDKhz3gu3HKxatQqff/65wx4wdW05CAsLQ0lJCaxWq8NJA4cNGwaj0YjVq1fDYDCgvLwc//znPwEAjzzyiMPWjPO3hBUWFmLQoEHw9/fH6tWr4elZd0dkr1698MILL8BiscBoNNqnt/T72FRdSJs2bcKwYcPw+uuvY9SoUXXO6+npiR49euDw4cN1zqcmBhgioibWo0cPLF26tNr0FStWYNWqVUhPT8cdd9yBF154ATNnzgQAREREOHSVNFRSUhJmz56N3Nxc+/PXrVuHgIAAhx+9I0eOoKyszD4m5mJ8/PHHeOCBB/DJJ59g6NCh9c7v4eGBdu3a2e9HRETA29vbYRqgnCOoJt27dwcAHDx40H67armjR4/GwoULYTAYMHLkSHh7ewNQAlFNochsNiM5ORlGoxFfffVVg3YR3rt3L4KDgx3CS1O9j2PHjm3w+9gUXUjp6em4+eab8fLLL1frOquJzWbD/v37MWTIkHrnVQsDDBFRE0tOTsaUKVNw9uxZBAcHAwBOnjyJ8ePH4+WXX0afPn2wcOFC3HzzzRg8eDCuvfbaWpd1/PhxmM1mHD9+HDabzf5D1q5dO/j5+WHgwIHo1KkT7rvvPsyZMwfZ2dmYNm0aUlNTHX54f/zxRyQkJKBt27YX1ably5dj9OjReOONN9CrVy/7+Bpvb28EBgZe1DLrEx4ejiuvvBJbtmxxCDAA8OCDD9oHof700091LsdsNmPgwIEoKSnB0qVLYTabYTab7a+h1+vx9ddfIycnB9deey28vLywbt06vPjii9W2il3q+1gVXhrzPl4YBBtr48aNuPnmm/HEE09gxIgR9tc0GAz24PP888/j2muvRbt27VBQUIBXXnkFx44dw4MPPnjRr9vsmrWDSqM4Bsa1sJ3aVFcfe21jJpzJNddcI959910hhFJv//79RXJyskPNjz32mGjbtq0oLCyscRmyLIv77rtPAKh22bhxo32+o0ePisGDBwtvb28RFhYmnnzySYfdg4VQxuWkpaVddHtuuOGGGusYPXp0g5fR2N2ohRBi3rx54tprr61xef/4xz9q3KX6Qhs3bqyxdgAiMzNTCCHE999/L7p37y78/PyEr6+v6Natm3j33XerfZ4u5X2UZVlcf/31l/w+Ntbo0aNrfM3z18XEiRNFXFycMBgMIjIyUgwZMkTs3r271mU6wxgYSYhatt25MbPZjMDAQJw9e7bWI1+6AlmW7ZudneHMos2F7dSmsrIyZGZmIj4+vtrmfiGEffyI5IRjYADg22+/xVNPPYUDBw5c9Ppoqnb+9ttv6NevH/78889m21pyKepqZ2lpKTp27IgVK1YgKSnJ4Tnt27fHo48+ismTJ7dInZf6Pmrh77ah6vp8FhQUIDg42L6renNhFxIRUTMYOnQoDh06hL///huxsbGq1pKVlYUlS5Y4ZXipj7e3N5YsWYLTp0/bp+Xl5eGTTz5BdnY2xowZ02K1aPl9dEUMMEREzWTixIlqlwAA9e7l4uwuPP1AREQEwsLC8N///tc+xqglaP19dDUMMEREpCkc+UAAT+ZIREREGsQAQ0ROjf9tEzkfZ/hcMsAQkVOqOkpqSUmJypUQ0YWqPpf1Hc24OXEMDBE5Jb1ej6CgIOTm5gJQTqJXteupK+2OWhe207W4QjuFECgpKUFubi6CgoKg1+tVq4UBhoicVtW5fKpCTBUhBGRZhk6n0+wPQUOwna7FldoZFBRU7VxbLY0BhoicliRJiI6ORkREBMrLy+3TZVlGfn4+QkNDXeKgfbVhO12Lq7TT09NT1S0vVRhgiMjp6fV6hy9MWZbh6ekJLy8vTf8Q1IftdC3u0s6WwneQiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINEfVADN//nx07doVAQEBCAgIQFJSEr7//nsAwJkzZ/DYY4+hY8eO8Pb2RlxcHB5//HGYTKY6l3n//fdDkiSHy6BBg1qiOURERNRCPNR88VatWuGll15C+/btIYTA4sWLkZKSgj179kAIgVOnTuHVV19Fp06dcOzYMTzyyCM4deoUPvvsszqXO2jQICxcuNB+32g0NndTiIiIqAWpGmCGDRvmcH/27NmYP38+tm/fjrFjx+Lzzz+3P9a2bVvMnj0b9957LyoqKuDhUXvpRqMRUVFRDa7DYrHAYrHY75vNZgCALMuQZbnBy9EaWZYhhHDpNgJspytyl7ayna7FndrZElQNMOez2WxYuXIliouLkZSUVOM8JpMJAQEBdYYXAEhPT0dERASCg4PRr18/zJo1C6GhobXOn5aWhpkzZ1abnpeXB6vV2riGaIgsyzCZTBBCQKdz3eFQbKfrcZe2sp2uxV3aWd9Qj6YiCSFEi7xSLfbv34+kpCSUlZXBz88Py5cvx5AhQ6rNd/r0afTs2RP33nsvZs+eXevyPvnkE/j4+CA+Ph5HjhzB1KlT4efnh23btkGv19f4nJq2wMTGxiI/Px9BQUGX3EZnJcsy8vLyEB4e7tIfJrbT9bhLW9lO1+Iu7SwoKEBoaKh9o0NzUX0LTMeOHbF3716YTCZ89tlnGD16NDZt2oROnTrZ5zGbzRg6dCg6deqE5557rs7ljRw50n67S5cu6Nq1K9q2bYv09HT079+/xucYjcYax8nodDqX/iMDAEmS2E4X4i7tBNynrWyna3GHdrZU21R/Bw0GA9q1a4eePXsiLS0N3bp1wxtvvGF/vLCwEIMGDYK/vz9Wr14NT0/PRi0/ISEBYWFhOHz4cFOXTkRERCpRPcBcSJZle3eO2WzGwIEDYTAY8NVXX8HLy6vRyzt58iTy8/MRHR3d1KUSERGRSlQNMFOmTMHmzZtx9OhR7N+/H1OmTEF6ejruuecee3gpLi7GggULYDabkZ2djezsbNhsNvsyEhMTsXr1agBAUVERnnrqKWzfvh1Hjx7Fhg0bkJKSgnbt2iE5OVmtZhIREVETU3UMTG5uLkaNGoWsrCwEBgaia9euWLt2LW666Sakp6djx44dAIB27do5PC8zMxNt2rQBAGRkZNhHPOv1euzbtw+LFy9GQUEBYmJiMHDgQLzwwgs8FgwREZELUTXALFiwoNbH+vbti4bsIHX+PN7e3li7dm2T1EZERETOy+nGwBARERHVhwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0R9UAM3/+fHTt2hUBAQEICAhAUlISvv/+e/vjZWVlSE1NRWhoKPz8/DBixAjk5OTUuUwhBJ599llER0fD29sbAwYMwKFDh5q7KURERNSCVA0wrVq1wksvvYRdu3bhl19+Qb9+/ZCSkoLffvsNADBp0iR8/fXXWLlyJTZt2oRTp07htttuq3OZc+bMwZtvvol3330XO3bsgK+vL5KTk1FWVtYSTSIiIqIW4KHmiw8bNszh/uzZszF//nxs374drVq1woIFC7B8+XL069cPALBw4UJcfvnl2L59O6699tpqyxNCYO7cuZg2bRpSUlIAAEuWLEFkZCS++OILjBw5svkbRURERM1O1QBzPpvNhpUrV6K4uBhJSUnYtWsXysvLMWDAAPs8iYmJiIuLw7Zt22oMMJmZmcjOznZ4TmBgIHr16oVt27bVGmAsFgssFov9vtlsBgDIsgxZlpuqiU5HlmUIIVy6jQDb6dSEAMrPAmUngLKTgCUbKC+AVH5GmV5xFqgwA3I5IFsBoVxLcjlCbYB02AdCZwB0noDOAHgEAh5BgGcQhGcw4BkEGKMBr1bKxTMUkCS1W91gmlynF4HtdC0t1T7VA8z+/fuRlJSEsrIy+Pn5YfXq1ejUqRP27t0Lg8GAoKAgh/kjIyORnZ1d47KqpkdGRjb4OQCQlpaGmTNnVpuel5cHq9XayBZphyzLMJlMEEJAp3Pd8dxsp8qEgK4iFx5lh6EvOwyPyovechx66ylI4uK6dz0BoLT2x2uKKUIywOYZBZuxDSq82sPm1RYVXm1R4dUOsme004Ubp12nTYztdC0mk6lFXkf1ANOxY0fs3bsXJpMJn332GUaPHo1Nmza1aA1TpkzB5MmT7ffNZjNiY2MRHh5eLUC5ElmWIUkSwsPDXfrDxHa2ICGA0mOA6RdI5t2A6RfAvEfZolLX06AHJE9A8gAkPSDpAOghdOdNg65yug4CEkwV0QjU/w1JkgEhA5ABuRySqADsF7nyuhwSbJCEFR7W4/CwHoexcLNjDR4BQMCVQOBVEAE9gMCegE87VUONU6zTFsB2uhaDwdAir6N6gDEYDGjXrh0AoGfPnti5cyfeeOMN3HnnnbBarSgoKHAIETk5OYiKiqpxWVXTc3JyEB0d7fCc7t2711qD0WiE0WisNl2n07n0HxkASJLEdrqQFm+nkIGig0D+JuDMJiB/M2CtZU9B6byuHp03oPdTLh6+kPTelQHGMSzUFh1kIcFqiYVk9IdOEg2oUyhdUBVmwFakXCqKAblU6Z4SVkgVZuBMOnAm/dzreoYAITcAoTco1wFdKsNUy+Hfrmtxh3a2VNtUDzAXkmUZFosFPXv2hKenJzZs2IARI0YAADIyMnD8+HEkJSXV+Nz4+HhERUVhw4YN9sBiNpuxY8cOjB8/vqWaQOTaLLlA3vdA7rfA6R+A8vwLZpAAnVG56H0Az2AlCOj9AJ1KXzmSBOiNgD4cQHj1x2UrYD0NlJ8Byk2Vwcai3M9ZrVwAwCMACO0PRN4MhA8GvKKrL4uIWoSqAWbKlCkYPHgw4uLiUFhYiOXLlyM9PR1r165FYGAgxo4di8mTJyMkJAQBAQF47LHHkJSU5DCANzExEWlpabj11lshSRImTpyIWbNmoX379oiPj8f06dMRExOD4cOHq9dQIi0TAijcB2R/oYQW0y8Azt/qoQN0XpVhJQQwRgAe/i2+peKS6AyAV4xyqSKXK4OKrXlAhQmwlShbcM4PNP5dgMhbgKjbgIAeTjeGhsiVqRpgcnNzMWrUKGRlZSEwMBBdu3bF2rVrcdNNNwEAXn/9deh0OowYMQIWiwXJycmYN2+ewzIyMjIcBgz9+9//RnFxMcaNG4eCggL06dMHa9asgZeXV4u2jUjzCn8HslYAp1YAxX84PqbzAvS+yl49xsjKwOJim8R1noB3rHIBANmmdI9ZspQ9pOQyoHC/cjk8G/BuA8TcDcSMBPw7M8wQNTNJCNGADmT3YjabERgYiLNnz7r8IN7c3FxERES4dH8s29kIllzg74+Ak0uUrS52khJY9P5Kt4khQr3uIChjYHItsYgwnmjYGJjmYCsGSk8AlhxlTM35W6V82gNxY4HLRgNeNY/Zawj+7boWd2lnQUEBgoODYTKZEBAQ0Gyv43RjYIiohQkbcHo9cPwDIOdL5VgrAJTQ4qMcW8U7tvIYKq77pdtoel/AL1G5yFZl76uyU0qYKTkE/PEM8MdUIGIwEPewMmZGxdBH5Gr4aSJyV+UFwPH3gWPvKD++VXReSmjxigWM4doay6IWnQHwba9cbBag9C8lzMilyrih3G+VrVZtHgdaPwwYwtSumEjzGGCI3E3xISDzTeDkQqUbBACgV8axGKMA7zjlB5kujt4I+F2uXKxngZLDyh5O1lzgz2nAoeeBy+4FEiYD/leoXS2RZjHAELkL0y7g0Cylm6hqvIbOCHgEAz4Jyu7OHHjatAzBgOFqZQBwyV9A2VFl9+yTHyqXsAFAhxeA4OqnRiGiujHAELm6gp3Kf/2535ybpvdVujS8EwAPb/Vqcxc6PeDXHvBtp+zJVPynskv26fXKJeR6oONsIKSP2pUSaQYDDJGrMu0GMqYpB52rovdXTmroHafsJkwtS5KUbjpjlHJsmcKDyoEAz2wGtv0DCL4OuPwVILjmg3US0TkMMESupvQY8Od04NSyc9M8AgBjK8CnNQflOguPQCWoVBQCRb8p42TO/gRs7Q1EDAM6/Qfwbqt2lUROiwGGyFWUF8Dv5AuQ8hYo4ywAZYuLdyzgzeDitDz8gaBrlXMzFe5Ttsjkfg3kfgcpdiyk4McARKhdJZHTYYAh0johAycXQ/r93/ArP61M0/koh8X3acdjj2iFh6+yRaa8ACj8FagohHTivwj/exlQ8RLQZjxDKNF5eFQqIi0z71PGTux7AFL5aVRI/pCNcUBwb+UAawwv2uMZVHnm654QOi/o5GLoDj4GbO6mDMgmIgAMMETaVFEEHJwMbLkSOLsVgA6yZzhOe98GBHQD9Dz3l+Z5RUOEDIDZ0AsCOmWczE+9gF/HKmfMJnJzDDBEWpOfDmzuCmS+rpwGQO+nnBU5sJfSDUGuQ5JQ4tUTIqS/cioHCOX4Mentgdw1aldHpCoGGCKtqCgGfnsc2H4jUJoJSJ7K4f6DeysDdXkQOtel91LGxwReDUgGwJoH7BwM7LmXW2PIbTHAEGnBma3Aj92Ao28p9z0CgMAeSncRD/vvPoyRQFh/wBij3D+1TNkac/oHdesiUgEDDJEzEzJw+EVg+/VAyZFzW12CkpQj6ZL7kfRA4JVA4DXntsbsGAD8/jQgV6hdHVGLYYAhclZl2cDPyUDG/1WOdfFXtrgEdONRdAkwRgBh/SqDrAD+mgP8dA1QelztyohaBAMMkTM6vUHpMjq9HoAOMEQBQb2UQ9ATVZE8gKBrlEHc0AHmPcCmTkD2l2pXRtTsGGCInIkQwJFXgR0DAWuucrZon/ZAYE/uGk21826tnBBS5wPYioFdw4E/pipdkEQuigGGyFnYSoG99wF/PAVAVgbqBlypnMWYexhRfTz8gNC+5wb4HkkDdiQr51oickEMMETOoPQ4sLVP5QkYJcAQrgzSNISqXRlpiaRTBvj6dQIgAfnrgU2dgeLDaldG1OQYYIjUZtqtHGHVvFsZ0+AVCwRexS4jung+CcoJIiUPoOw48GMPZVd8IhfCAEOkptw1wLbrAUu2Mt7Ft6MyIJMn7aNLZQgFgm8A9D6ArQjYfgNw6lO1qyJqMgwwRGo58SHwy83KoEudD+DfFfCJ53gXajoe3srgXs9gQFQAe+4EDr+sdlVETYIBhkgNh18C9o09d3yXwJ7KUVaJmprkoRz4sGpwb8YzwG+TlD3eiDSMAYaoJQkBZEwHMqYo9z2ClfPbeAaqWxe5NkkHBPQAfNop94/OBfY/xBBDmsYAQ9RShAB+fwo4PEu57xkGBF0FePioWxe5B0kC/BIB30Tl/okFwJ67eawY0iwGGKKWIGTgtwlA5n+U+4ZwpdtIZ1S3LnI/vu0Av87K7axPgF23KV2ZRBrDAEPU3IQADk4Ejs1T7hsigICePJ8RqcenDeDfTbmd8yWweyS3xJDmMMAQNbeMacDRt5Tbhkjl6Lo6D3VrIvKOBQK6K7ezPwN+HcMxMaQpDDBEzelwGnDkReW2IUIZSMnwQs7Cq1XliSAB/L0EODBB3XqIGoEBhqi5HJ0HZExVbnuGMbyQc/JuXXnqAQDH5ylbDIk0gAGGqDlkf6kM2gUAzxDl/DQc80LOyicB8Omo3D48Gzj+gbr1EDUAAwxRUyv4GdhzFwAB6AMA/+6AzqB2VUR182sPeMUpt/c/DOT9T916iOrBAEPUlEoygZ3DALkU0PsqgyR5nBfSCv8uyi7+kIFfUgDzfrUrIqoVAwxRUyk3AT8PAay5gM4L8O8MeAaoXRVRw0lS5ZnQAwC5DNh+I2A5rXZVRDVigCFqCkIGfh0FFP8BSJ6Ab/vK/2SJNEbSA8HXKgdZLM8HdtwEyBVqV0VUDQMMUVM4PAvI+QqABHjFnhtLQKRFOgMQ1AuADijcq5x4lMjJMMAQXaqcb4A/Zyi3DZHK+WYkSd2aiC6VR8C5A939vQQ49q6q5RBdiAGG6FIUHwH23qPc9ggEAroqZ/4lcgVeMYB3gnL7t8cA015VyyE6H79piS6WbFV2l64wAzpvZQ8O7i5NrsbvcsAjGBAVwM6hgK1U7YqIADDAEF28jOmAaacy6NGnLeAZpHZFRE1PkoCgq5TB6ZZTwJ671a6ICAADDNHFyfsf8Ncc5bYhSjkcO5Gr0hmVU2EAQM4XwPEPVS2HCGCAIWo8Sx6wd5Ry2yNQOd4LB+2SqzNGAN7xyu3fHgVKT6hbD7k9BhiixvptAmDNUf4r9evEcxyR+/C7HND7A7IF+GU4IITaFZEbY4AhaoysVUDWpwAkwNgKMISqXRFRy5F0yolJIQHm3UDma2pXRG6MAYaooaz5wIHxym3PYMCvg7r1EKnBwx/wrfzb/2MqUHJc3XrIbTHAEDXUb09UnueosutI0qtdEZE6fNoqXUnCCuy6lV1JpApVA0xaWhquvvpq+Pv7IyIiAsOHD0dGRob98aNHj0KSpBovK1eurHW5999/f7X5Bw0a1BJNIld1ej1waply23gZd5km93ZhV9LJRWpXRG5I1QCzadMmpKamYvv27Vi3bh3Ky8sxcOBAFBcXAwBiY2ORlZXlcJk5cyb8/PwwePDgOpc9aNAgh+d9/PHHLdEkckWyFTgwQbntEcSuIyJA6Uqq2ivp4ESgoljVcsj9eKj54mvWrHG4v2jRIkRERGDXrl24/vrrodfrERUV5TDP6tWrcccdd8DPz6/OZRuNxmrPJbooma8DxRmA5AH4tFeuiUgJ85a/laNR738E6PGR2hWRG3Gqb2KTyQQACAkJqfHxXbt2Ye/evXjnnXfqXVZ6ejoiIiIQHByMfv36YdasWQgNrXmPEYvFAovFYr9vNpsBALIsQ5blxjZDM2RZhhDCpdsIXGI7S09AOvQ8JACyZ7hyskbhnMd8kYUEISTITlpfU3KXtjp/Oz0Bvy7QmX+BOLUMIv5J5XxgjcTvItfSUu1zmgAjyzImTpyI6667Dp07d65xngULFuDyyy9H796961zWoEGDcNtttyE+Ph5HjhzB1KlTMXjwYGzbtg16ffWBl2lpaZg5c2a16Xl5ebBarRfXIA2QZRkmkwlCCOh0rjue+1LaGfjXJHjbSmCVQnHGczBg9WqmKi+dLABTeRgEBHTO+nvXRNylrZpop2iFIH0OvGwnYNk9FgWdvm30Ivhd5FqqNkY0N0kI5xg+Pn78eHz//ffYsmULWrVqVe3x0tJSREdHY/r06XjyyScbtey//voLbdu2xfr169G/f/9qj9e0BSY2Nhb5+fkICgpqdFu0QpZl5OXlITw83KU/TBfdTtMu6LZeAwFAeLcH/BKbrcamIAsJeZZYhBtPQCc5xce62bhLWzXTzopCSGfTlS2VPVYDUbc06un8LnItBQUFCA0NhclkQkBAQLO9jlNsgZkwYQK++eYbbN68ucbwAgCfffYZSkpKMGrUqEYvPyEhAWFhYTh8+HCNAcZoNMJoNFabrtPpXPqPDAAkSWI7ayIEkDFFea7eH5JvW8CZf0AqSZKArvLi6tylrZpop6cf4BULlJ2A7vfHgeiURp9eg99FrqOl2qbqOyiEwIQJE7B69Wr88MMPiI+Pr3XeBQsW4JZbbkF4eHijX+fkyZPIz89HdHT0pZRL7uT0/4D8DQAkwKcNoHOKrE/kvHw7AtABZSeAo2+pXQ25AVUDTGpqKpYuXYrly5fD398f2dnZyM7ORmlpqcN8hw8fxubNm/Hggw/WuJzExESsXr0aAFBUVISnnnoK27dvx9GjR7FhwwakpKSgXbt2SE5ObvY2kQsQMvDHM8ptj0DlP0siqpveC/Bpp9w+9BwgbKqWQ65P1QAzf/58mEwm9O3bF9HR0fbLihUrHOb78MMP0apVKwwcOLDG5WRkZNgHDen1euzbtw+33HILOnTogLFjx6Jnz5748ccfa+wmIqom52vAvBeADvBJUA7aRUT180lQDjNQfhY48ora1ZCLU3W7eEPHD7/44ot48cUXG7Qcb29vrF279pJrIzclBHD4BeW2ZxBgZLcjUYPpPADvtkBJBvDXK0Dbp3jKDWo2/NeS6Hx5awDTLgA65SijjRyISOT2fNpUboU5A/z1utrVkAtjgCGqIgRwqHLri0cgYOSRnIkaTecJeCcot4+8rIwpI2oGDDBEVc5sBgq2AZAA79bc+kJ0sXziAeiB8tPAiQ/VroZcFAMMUZXMucq1RwDgFaNqKUSapvNU/gkAlK0wRM2AAYYIAEoygZyvlNvGGO55RHSpfNoo1yWHgfwfVS2FXBO/pYkA4Ng8ADKg8zn3nyMRXTy9D2CoHEf25zR1ayGXxABDVFEMHP9AuW0I41F3iZqKT+Vg3jNbgLIsdWshl8MAQ3RqOVBRAEgGwKet2tUQuQ7PYEDvD0A+d3wloibCAEN0YqFy7RkIePiqWwuRK5Gkc12ypz5VDlVA1EQYYMi9Ff1Rues0eM4joubgdRkAHVCer5ymg6iJMMCQezu5SLnW+wLGSFVLIXJJOs9zB4XM5JF5qekwwJD7Ejbg5EfKbc8QnrOFqLl4xynXZ7cA5YXq1kIugwGG3NfpHwDLKSW4cNdpoubjGQrojICoAI6/p3Y15CIYYMh9ZX+mXOv9lHMfEVHzkCTlAJGAstcfURNggCH3JGxA9mrltmcIz3tE1NyqTs9RuA8oN6lbC7kEBhhyT2d+BKx5SvcR9z4ian4eQYDOS/nn4Ri7kejSMcCQe8qq6j7yBTz81a2FyB2c342UtULdWsglMMCQ+xECyPlCue0ZzO4jopZStTt14X5AtqpbC2keAwy5n6LfgLK/AUiAsZXa1RC5D88gQPIARPm5raBEF4kBhtxP3lrlWu+jnD6AiFqGpAMM4crtrE/VrYU0jwGG3I89wPgqX6hE1HIMEcr12a3q1kGax29vci+2EuDMZuV21RcpEbWcqi0w1jygOFPdWkjTGGDIvZz5CZAtgOTJAEOkBr2XsvUTAE59rG4tpGkMMORezv6kXOu8Ab23urUQuSvPUOU6f4O6dZCmMcCQe6kKMHof7j5NpBZDiHJt3qduHaRpDDDkPoQNOLtduW0IVbcWInfmWRlgyvOB0ix1ayHNYoAh91F4ALAVAThvV04ianl6H+Xs1DjvoJJEjcQAQ+6jYJtyrTtvECERqcMjWLk+u0XdOkizGGDIbUjmX5Ubei+OfyFSW9VBJDkOhi4SAwy5j8LKL0pufSFSn0eAcl16TN06SLMYYMg9CFk5gRxwbgAhEanHo3ILjK0QKP1b3VpIkxhgyC3orcch2YoBSMoJ5YhIXXovQDIot/PTVS2FtIkBhtyCR8lB5YbOyC4kImfh4adcF+5Rtw7SJAYYcgselr+UG5KBJ3AkchZ6JcBIRb+rXAhpEb/JyS3oLZUDBXWe6hZCROd4VG4NLeVJHanxGGDILegtxytv8PxHRE6jqjvXkqNuHaRJDDDkFuxbYCo3WRORE6gKMLZCQC5XtxbSHAYYcn1yBfTWk8ptDwYYIqeh8wIASMIGyZKtcjGkNQww5Pos2ZBggwC4BYbImeg8AUmv3Cw9rHIxpDUMMOT6rLnKteRReQI5InIaOmVcmt56XOVCSGsYYMj1WasGCOqVEENEzqOyG0lnOalyIaQ1DDDk+iznbYHhSRyJnItOORqvriJf5UJIaxhgyPWd34VERM7FHmDOqlwIaQ0DDLk8yVr5n13lYEEiciKScnBJnc2kciGkNQww5Prk0sob7D4icjpV/1jIZerWQZrDAEOur/KLUXALDJHzqTw3mSSsKhdCWsMAQ67PVvmfHU/iSOR8Kv+xkASPxEuNo+o3elpaGq6++mr4+/sjIiICw4cPR0ZGhsM8ffv2hSRJDpdHHnmkzuUKIfDss88iOjoa3t7eGDBgAA4dOtScTSFnZt80zQBD5Hy4BYYuTqO/0UePHo3Nmzc3yYtv2rQJqamp2L59O9atW4fy8nIMHDgQxcXFDvM99NBDyMrKsl/mzJlT53LnzJmDN998E++++y527NgBX19fJCcno6yMfaxuqSrAsAuJyPlUfS5Fhbp1kOY0er9Sk8mEAQMGoHXr1hgzZgxGjx6Nyy677KJefM2aNQ73Fy1ahIiICOzatQvXX3+9fbqPjw+ioqIatEwhBObOnYtp06YhJSUFALBkyRJERkbiiy++wMiRIy+qVtKwsizlWsjq1kFE1QkbAEAniuuZkchRowPMF198gby8PHz00UdYvHgxZsyYgQEDBmDs2LFISUmBp6fnRRdjMim70YWEhDhMX7ZsGZYuXYqoqCgMGzYM06dPh4+PT43LyMzMRHZ2NgYMGGCfFhgYiF69emHbtm01BhiLxQKLxWK/bzabAQCyLEOWXfdHT5ZlCCFcuo0AIBX/CQAQogKycN09kWQhQQjJpdtYxV3a6hbtlC3QAfCQzbC5+HeRu3zntlT7LurIXuHh4Zg8eTImT56M3bt3Y+HChbjvvvvg5+eHe++9F48++ijat2/fqGXKsoyJEyfiuuuuQ+fOne3T7777brRu3RoxMTHYt28fnn76aWRkZGDVqlU1Lic7WzmjaWRkpMP0yMhI+2MXSktLw8yZM6tNz8vLg9Xquv2ysizDZDJBCAGdznXHh4TrfKG3FaJYDkOJJVbtcpqNLABTeRgEBHQu/HsHuE9b3aGd3hVnEQjABgNyc3Nd+rvIXb5zqzZGNLdLOjRpVlYW1q1bh3Xr1kGv12PIkCHYv38/OnXqhDlz5mDSpEkNXlZqaioOHDiALVu2OEwfN26c/XaXLl0QHR2N/v3748iRI2jbtu2llG83ZcoUTJ482X7fbDYjNjYW4eHhCAoKapLXcEayLEOSJISHh7v0hwmB3YHTa+DrUQQ/4wm1q2k2spAgQUK48SR0klC7nGblLm11j3aWAhZA1gUiIiLCpb+L3OU712AwtMjrNDrAlJeX46uvvsLChQvxv//9D127dsXEiRNx9913IyAgAACwevVqPPDAAw0OMBMmTMA333yDzZs3o1WrVnXO26tXLwDA4cOHawwwVWNlcnJyEB0dbZ+ek5OD7t2717hMo9EIo7H6WYp1Op1L/5EBgCRJLt9OoVdOFifB5sI/AgpJEtBVXlydu7TV9dupjIERkqfLfxcB7vGd21Jta3SAiY6OhizLuOuuu/Dzzz/XGApuvPHGBm25EELgsccew+rVq5Geno74+Ph6n7N37157HTWJj49HVFQUNmzYYK/NbDZjx44dGD9+fL3LJxdUebZbDuIlckKVn0vBc5VRIzX6L+b111/H7bffDi8vr1rnCQoKQmZmZr3LSk1NxfLly/Hll1/C39/fPkYlMDAQ3t7eOHLkCJYvX44hQ4YgNDQU+/btw6RJk3D99deja9eu9uUkJiYiLS0Nt956KyRJwsSJEzFr1iy0b98e8fHxmD59OmJiYjB8+PDGNpdcgT3A2NStg4iqq/rHQmqZbgdyHY0OMPfdd1+Tvfj8+fMBKAerO9/ChQtx//33w2AwYP369Zg7dy6Ki4sRGxuLESNGYNq0aQ7zZ2RkOAwa+ve//43i4mKMGzcOBQUF6NOnD9asWVNn6CIXpvcGAEjgFhgi51PVhcQAQ42j6jY7Ieru042NjcWmTZsavRxJkvD888/j+eefv6T6yEWwC4nIeVV1IekYYKhxXHcUEVEl4RFQeYtdSEROp/IcSELiFnJqHAYYcn2GcOWaY2CInI+sBBjZI1jlQkhrGGDI9RkjlGuea4XI+cjKwUJlfUg9MxI5YoAh12eoPCozAwyR86k82arsGapyIaQ1DDDk+uxbYGzsRiJyNpUBxmaMU7kQ0hoGGHJ9BuXozBJkwFaqcjFEZCdkQFZOpCszwFAjMcCQ6/MMgKwPVG5XmNWthYjOqQwvAhIDDDUaAwy5hQpjm8obRarWQUTnsZUo15IB8OReSNQ4DDDkFmxVAcbGAEPkNGzFyrWHH6D3UbcW0hwGGHIL9gGCMsfAEDmNqgBjiAQkSd1aSHMYYMgt2LfAVB5zgoicQGWXrvBpq3IhpEUMMOQWKrw6KjfkMqCec3ARUQup2gLjl6huHaRJDDDkFiq8EyEgKceBqfrSJCL1nP9ZDLxK3VpIkxhgyC0IvS/g3Ua5Yz2tai1EBKCiEIAAJA8ggAGGGo8BhtxHQHfluvysqmUQEYAKk3Kt9we8W6lbC2kSAwy5DeHfTblhK1S3ECI6d1BJ7zhA56FuLaRJDDDkPoIqN1PzdAJE6iuv3AIT2EPdOkizGGDIfQRdq1yLcqCCA3mJVCNs57qQQm9UtxbSLAYYch+ewYBv5e7Ulix1ayFyZ+VnoQzg9QSCr1e7GtIoBhhyLyGVX5bl+erWQeTOys8o14YwwKe1urWQZjHAkHsJ7q1cV3AgL5FqrJUBJqA7TyFAF40BhtxL6A3KtVwG2MrUrYXIHQn53KEMQgeoWwtpGgMMuRefeMA7XrlddlLdWojcUfkZADblAHaRN6tdDWkYAwy5n4ghyrU1V906iNxR1efOGAn4tle3FtI0BhhyP+GDlOuKQp7YkailWfKU6+DrOf6FLgkDDLmf0L7K5mtRfm5vCCJqfrbSc0fCjrld3VpI8xhgyP14+AEhfZXbpcdVLYXIrVR1H+n9gdB+6tZCmscAQ+6p6r+/cp6ZmqjFlFUeQDKgG+AZqG4tpHkMMOSeIocD0AGyBSg3q10NkeuTLef+YbjsHnVrIZfAAEPuyRgBBF+n3C7NVLcWIndgyVau9b5A1K3q1kIugQGG3FfMncq1NU/dOojcQdkp5dq/q7ILNdElYoAh9xU1Ako3UhlgPat2NUSuy1Z67vxjrUarWwu5DAYYcl9eUUB4snK79Ii6tRC5srK/lWuPACCau09T02CAIfcW+6Bybc0DZFndWohckRBAWeXhCoL/ARhC1K2HXAYDDLm3yJsBjyBA2ICyE2pXQ+R6ys8AthIAOqDNY2pXQy6EAYbcm84AtBql3C49pm4tRK6o6h8Dr8uAsBvVrYVcCgMMUdxDyrXNDFQUqVsLkSuRref2Poq5W/mHgaiJMMAQ+XcGQv6h3C7+Q91aiFxJ6TEAMqD3AdpMULsacjEMMEQAkPAv5dqSC8gV6tZC5AqEDJQeVW6H9gO8W6laDrkeBhgiAIgYqvTRQwZKDqtdDZH2WbKU0wdIHkDbKWpXQy6IAYYIACQ9ED9ZuV16XNn1k4gujhBAyV/Kbb/OQHCSuvWQS2KAIaoS+yCg9wOE9dymbyJqvPLTQIUJgAS0fRqQJLUrIhfEAENUxTMAiJ+k3C45zK0wRBdDCKD4T+W2TwIQfZu69ZDLYoAhOl/8REDnrfTd88B2RI1Xng+UnwUgAQnPcNdpajYMMETnM4Sc292z+E9uhSFqrKqtL96tgVb3qlsLuTQGGKILJTwF6IzKWaq5FYao4aynlVMHQALaPgPovdSuiFwYAwzRhYzhSlcSABT9oRzPgojqJgRQ9Lty27sN0Gq0quWQ61M1wKSlpeHqq6+Gv78/IiIiMHz4cGRkZNgfP3PmDB577DF07NgR3t7eiIuLw+OPPw6TyVTncu+//35IkuRwGTRoUHM3h1xJ2ymAR4CyR1IxjwtDVC/Lqco9j3RAh5nc+kLNTtUAs2nTJqSmpmL79u1Yt24dysvLMXDgQBQXFwMATp06hVOnTuHVV1/FgQMHsGjRIqxZswZjx46td9mDBg1CVlaW/fLxxx83d3PIlXgGAu1nKrdLjwByubr1EDkzYVO2VgLKqTliRqpbD7kFDzVffM2aNQ73Fy1ahIiICOzatQvXX389OnfujM8//9z+eNu2bTF79mzce++9qKiogIdH7eUbjUZERUU1qA6LxQKLxWK/bzabAQCyLEOWXbf7QJZlCCFcuo3AJbQz9mFIf70CyXIKovAgRED3ZqmvqchCghASZOH6x9xwl7Zqpp0lx6CTSyEkT4iOcwDogUZ83vhd5Fpaqn2qBpgLVXUNhYSE1DlPQEBAneEFANLT0xEREYHg4GD069cPs2bNQmhoaI3zpqWlYebMmdWm5+XlwWq1NqIF2iLLMkwmE4QQ0OlcdzjUpbTTGPMcgjPHAZa/kV/SBzZ9cDNVeelkAZjKwyAgoHPy37tL5S5t1UI7dXIxwoqVf0bNvkNRKncFcnMbtQx+F7mW+oZ5NBVJCOfYT1SWZdxyyy0oKCjAli1bapzn9OnT6NmzJ+69917Mnj271mV98skn8PHxQXx8PI4cOYKpU6fCz88P27Ztg16vrzZ/TVtgYmNjkZ+fj6CgoEtum7OSZRl5eXkIDw936Q/TJbVTCEg7+kI6uwVCHwgRcn3zFNkEZCEhzxKLcOMJ6CSn+Fg3G3dpqxbaKZl3Q7L8DaH3g+i9E/Dr0Ohl8LvItRQUFCA0NNS+waG5OM0WmNTUVBw4cKDW8GI2mzF06FB06tQJzz33XJ3LGjnyXP9rly5d0LVrV7Rt2xbp6eno379/tfmNRiOMRmO16TqdzqX/yABAkiS2sz5d3wc2d4ZkM0EqO+HUZ9WVJAFd5cXVuUtbnbqd1tOA5W8AgBT3MKSAxIteFL+LXEdLtc0p3sEJEybgm2++wcaNG9GqVfUfh8LCQgwaNAj+/v5YvXo1PD09G7X8hIQEhIWF4fBh7k1CF8EvEWjzhHK76DdAVKhbD5EzEDJQeEC57d0aaP+suvWQ21E1wAghMGHCBKxevRo//PAD4uPjq81jNpsxcOBAGAwGfPXVV/DyavyueSdPnkR+fj6io6ObomxyRx1mAoYIQJQD5l/VroZIfcWHAFsRIHkAl7+mnEuMqAWpGmBSU1OxdOlSLF++HP7+/sjOzkZ2djZKS0sBnAsvxcXFWLBgAcxms30em81mX05iYiJWr14NACgqKsJTTz2F7du34+jRo9iwYQNSUlLQrl07JCcnq9JOcgEefkC3xcptSxZgzVO3HiI1lZuUE54CQPhgIOpWdesht6RqgJk/fz5MJhP69u2L6Oho+2XFihUAgN27d2PHjh3Yv38/2rVr5zDPiRPnDvGekZFhH/Ws1+uxb98+3HLLLejQoQPGjh2Lnj174scff6xxnAtRg0UMAmLuVm6b9ijHviByN0IGzHsBCMAQDnSZD0hOuosUuTRVB/HWtwNU3759653nwuV4e3tj7dq1l1wbUY06vwPk/Q8oP610JQVeqXZFRC2r+BBgKwSgBxJfBrwuU7siclNOMYiXSDM8g4Bui5TbllNAWbaa1RC1rPIz57qOIpJ5viNSFQMMUWNFDgVaPaDcLtwD2MrUrYeoJchWpesUAjBGAV0WABJ/Qkg9/Osjuhid3wa8E5RxMKadypl4iVyVEEDhPkAuBSQD0Pk9wKthp2ohai4MMEQXQ+8NXP0VIHkqZ+Atzqj/OURaVXYcsFR2l8aNAyKHqVsPERhgiC6e/xXK8S8AZVyApXHnfyHShPICoPA35XbAlUDiS9zriJwCAwzRpWiTCkQOV26bdwEVJaqWQ9SkZAtg+gWADHiGAleuADx81a6KCAADDNGlkSSgxzLAp13leJjtPD4MuQYhA6ZdgFwG6IxAlw8A33ZqV0VkxwBDdKn0PkCv/wF6X8BWAph2c1AvaV/RQWW3aeiA+H8B0cPVrojIAQMMUVPwiQd6rgIgAdYcDuolbSs9BpQeVW5H3Ax0eE7NaohqxABD1FTCBwKJc5TbJYeB0uPq1kN0MSw5QOF+5bZfV6D7EkCn6kHbiWrEAEPUlNr+C4gdp9wu3A9YTqtbD1FjlBcoXaAA4NUKuOpLwDNQ1ZKIasMAQ9TUuswHwm4CIADTz0C5We2KiOpnKwYKfgZgAzyCgStXAb5t1K6KqFYMMERNTdIp/7n6dwYgAwVbgYoitasiqp2tFDi7HRBWQOejdBsFX612VUR1YoAhag56b+DaTYB3G0BUAGe3Kj8SRM5GtgAF25XTBOiMQOc3gcib1a6KqF4MMETNxRACXLcdMEYr/9me3aL8WBA5C9mqbHmxFSunxejwIhA7Vu2qiBqEAYaoORkjlRDjGaqElzM/8uzV5BxkK1CwA7AVApIH0G4akDBJ7aqIGowBhqi5eccBvbcBHkHKUU3P/sjuJFKXbAHOblNORAo9kPBvoP10nuOINIUBhqgl+LUHrtt5wZaYYrWrIndkK60ck1W55SXhaaDjLIYX0hwGGKKW4tcO6LMLMEQoY2LObAHKC9WuityJrUTZ8lI15qXtNCCR4YW0iQGGqCX5tAb+sVc5SJgoVwb2WvPVrorcQbkJOPsTIJcAkgHo+CLQ4VmGF9IsBhiiluYVDfTZDfh2BGBTdmEt+1vtqsiVWXKVbiPZAui8gSveUo4azfBCGsYAQ6QGYzjwj91AcB8AAjDvAYoPq10VuaLSY4BpJ5Qj7AYCPT4GWo9TuyqiS8YAQ6QWvQ+QlA5E36ncL/5DCTJCVrUschFCBgoPVp6YUSjHI7pmDRCVonZlRE2CAYZITZJe+Y+43VTlftnfyrgYHiuGLoVsVc5rVPqXct+vE5C0BQi+Vt26iJoQAwyR2iQJ6DgbuHKlcij3CjNwZhNgPat2ZaRF5ebKPdxOA5CA8MFA0o+Ab4LalRE1KQYYImcR/U9lcK8hUtlDqWArUJIJCKF2ZaQVpScd9zSKfxK46gvltBZELoYBhsiZ+HcC+v4JBCUBEEDRb8oATNmqdmXkzOQKwLQHKNwLZbBuMNBtMXD5HEBnULs6ombBAEPkbDwDgN4/Ae3+D4AOsOYC+ZuAcnYpUQ3KTcDZzYClcld8v85A7y3AZSO5mzS5NAYYImckScrh3ZM2KacfEBala6DoD+6lRAohgOIjlYO+S5Qj67YaA1y3VdmSR+TiGGCInFlIH6DvESD0RuV+yWHgzGZloCa5r4oiJdAW/w5AAJ5hQLclQNcFgIe/2tURtQgGGCJnZwgEem0AOs8HdF6ArUg5o3VRBrfGuJuqrS5nNgMVBQB0QEhf5Rxb7DIiN8MAQ6QFkgS0fgS48QgQeDUAAZQcqtzd+oza1VFLKC9QuouKfwcgAx5BQKe5QK91gE+curURqYABhkhLvGKA63YAnd6o3BpTrOxubdqjnOeGXI4kyiAV7lPCS4UJ57a6/ALEPwboPNQukUgVDDBEWiNJQPzjQL/jQFiyMs3yN6QzG+BtOcBuJVchBFB2AmFFyyGVHVOmGaKAru8D164HfNuqWx+RyhjdibTKGA70WgPkrgX2jYFkyUKgZTNEuQ/gfwVgiOCYCK2y5gFFv0NXoQzWFjovSDF3A4kvKeudiLgFhkjzIpKBfschJzwDWfKGJJcoB78r2KqMmyDtKDcDBTuUS4UZAjqYvW+EuGYT0G0BwwvReRhgiFyBzgPoOBt5XXZBRN0BQKcc+O7sFuWkfuUmtSukulQUAqbdygHprHnKNJ8EiG5LUJL4ERB8lbr1ETkhdiERuRDhGQzR42NIJS8A+x5Udre25ioXQwTg2wHwDFK7TKpSYQaKDwGWrHPTDJFAwr+BNo8AkheQm6tefUROjAGGyBX5dQB6bwYKdgK/PQ4UbD8XZDzDAN92yhF+OUam5QmhbB0rOQJYc85NN4QDcY8ACZPPhUyZA7KJasMAQ+TKgq4GrtsGFPwCHHwCOLsVKD8NFJwG9H6AT1tl12xJr3alrk/IgOWUcobxivO69AwRQOvxQJvHedZookZggCFyB0FXKSeINP0K/PE0kL9eOaJv4a9A0UHAuzXgHQvofdWu1PXYSoGyE0DpsfOO1SMBXrFAm1Qg7mHAM1DVEom0iAGGyJ0EdlN2vbbkABnTgFMfKwfDKzmsXDxDlDBjjOJWmUshbMp7XHbi3KBcAJA8AP8uQMJTQNStgN5LvRqJNI4BhsgdGSOVA6JdMQ84+iZw/D3l1ATlZ5SL5AEYo5XuJc9QQOIOi/USQnnvLKeAsixAWM895hEAhA4A2j6tdOtx7BHRJWOAIXJnek+g7ZPKxbwPODQLyPtO2SpTdkK5SJ6AMaYyzAQzzJyvakCu5ZSyJ9H5p3OQPJW9vuIeAi67FzCEqlcnkQtigCEiRUBXoOengFwB/L0MOPGBcgwZYQXKjikXyUMZdGqIAIwRgM6gdtUtT7Yq3UKWXOX6/C0t0ANe0UDELUDrcYB/V25tIWomDDBE5EjnAcSOVi62MuDEAuDkEsC8BxDllVsbTgGFADwCAUOYMnbGMwTQeapdfdOTK5StLOX5lZezF8ygU7rbwgcDsQ8oXUQ8wSJRs1N1W3BaWhquvvpq+Pv7IyIiAsOHD0dGRobDPGVlZUhNTUVoaCj8/PwwYsQI5OTk1LJEhRACzz77LKKjo+Ht7Y0BAwbg0KFDzdkUItek91L2lOmzAxhUDHT7CIgYqoQVQNkduOSIcuqC02uBM5uBwt+AspNARZHSxaIlQih1l/0NFB4EzvyotMu0QxnkXBVedN6A3xXKYNzrfgb6HwO6vQ+EJDG8ELUQVT9pmzZtQmpqKq6++mpUVFRg6tSpGDhwIA4ePAhfX2V3zkmTJuHbb7/FypUrERgYiAkTJuC2227DTz/9VOty58yZgzfffBOLFy9GfHw8pk+fjuTkZBw8eBBeXhz1T3RRdJ5Aq3uVC6Dskv33UuBMOlD0uzJupsKsXEqrnqRXdhH2CFCOO+Php+yqrfNSt2tFCGW8iq2osu4iJYxVmAFRUX1+yaB0mQVeA0QOA8IHAV5RLV83EdmpGmDWrFnjcH/RokWIiIjArl27cP3118NkMmHBggVYvnw5+vXrBwBYuHAhLr/8cmzfvh3XXntttWUKITB37lxMmzYNKSkpAIAlS5YgMjISX3zxBUaOHNn8DSNyB4HdlAugBALTL0DW58rB8oozAOtpALZzezY50AMevsqWDL2Xcq3zUm5LnkpYkjyVMTeNCTpCKAFElANyeeV1mdIVJpdWXpcpoaWmoAIAkJSQ5RUDBF4FhCUDYX2V47ZwPAuR03CqbZ0mk3J0ypAQZfP0rl27UF5ejgEDBtjnSUxMRFxcHLZt21ZjgMnMzER2drbDcwIDA9GrVy9s27atxgBjsVhgsZzbe8BsVk5hL8syZBc+lLcsyxBCuHQbAbazxQT0VC5VyguB/A3A2c2QzPuB0r+Uga9yCSTYlK0dMNe5SAEoIQa6yr2fdIAkQYIOYbIeUpEVArJylFvIgKhAQyOGAACdEdD7A16XQfheDgRfCwT3UfYe8rjgoH5CtHiXmOrrtIWwna6lpdrnNAFGlmVMnDgR1113HTp37gwAyM7OhsFgQFBQkMO8kZGRyM7OrnE5VdMjIyMb/Jy0tDTMnDmz2vS8vDxYrdYanuEaZFmGyWSCEAI6nevuGst2qkjXGwjtDVTtQSwEYM2HvmQ/9KWHoLcch778FPTWHOhsp6GTC6ETZdAJKyTYlDBStaXkguzgUcO0KgJ6yDBASAbYdL6QdUGweYbD5hkN2RCDCq92sPlcoRywz8PfccuKBYClGEBxE74RF8cp12kzYDtdS9XGiObmNAEmNTUVBw4cwJYtW1r8tadMmYLJkyfb75vNZsTGxiI8PLxaeHIlsixDkiSEh4e79IeJ7XQ2kQA61f6wbIWoKISw5gOWbOXcTbZi5ZD8cpnyuM2KgmI9AgMM0OmNlVtSvJWD7hkiAM8QSB5+kPR+yuMapZ11emnYTtdiMLTM4RWcIsBMmDAB33zzDTZv3oxWrVrZp0dFRcFqtaKgoMAhSOTk5CAqquYBdFXTc3JyEB0d7fCc7t271/gco9EIo7H6l5xOp3PpPzIAkCSJ7XQhLtFOnRfg4QV4hQNIrHEWWZZRnpsLXUSEttvaAC6xThuA7XQdLdU2Vd9BIQQmTJiA1atX44cffkB8fLzD4z179oSnpyc2bNhgn5aRkYHjx48jKSmpxmXGx8cjKirK4Tlmsxk7duyo9TlERESkLaoGmNTUVCxduhTLly+Hv78/srOzkZ2djdJSZR/MwMBAjB07FpMnT8bGjRuxa9cujBkzBklJSQ4DeBMTE7F69WoASrqdOHEiZs2aha+++gr79+/HqFGjEBMTg+HDh6vRTCIiImpiqnYhzZ8/HwDQt29fh+kLFy7E/fffDwB4/fXXodPpMGLECFgsFiQnJ2PevHkO82dkZDgMGvr3v/+N4uJijBs3DgUFBejTpw/WrFnDY8AQERG5CEkIrR0qs/mZzWYEBgbi7NmzLj+INzc3FxEuPo6A7XQ97tJWttO1uEs7CwoKEBwcDJPJhICAgGZ7Hdd9B4mIiMhlMcAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5jDAEBERkeYwwBAREZHmMMAQERGR5qgaYDZv3oxhw4YhJiYGkiThiy++cHhckqQaL6+88kqty3zuueeqzZ+YmNjMLSEiIqKWpGqAKS4uRrdu3fDOO+/U+HhWVpbD5cMPP4QkSRgxYkSdy73iiiscnrdly5bmKJ+IiIhU4qHmiw8ePBiDBw+u9fGoqCiH+19++SVuvPFGJCQk1LlcDw+Pas8lIiIi16FqgGmMnJwcfPvtt1i8eHG98x46dAgxMTHw8vJCUlIS0tLSEBcXV+v8FosFFovFft9sNgMAZFmGLMuXXryTkmUZQgiXbiPAdroid2kr2+la3KmdLUEzAWbx4sXw9/fHbbfdVud8vXr1wqJFi9CxY0dkZWVh5syZ+Mc//oEDBw7A39+/xuekpaVh5syZ1abn5eXBarU2Sf3OSJZlmEwmCCGg07nueG620/W4S1vZTtfiLu00mUwt8jqaCTAffvgh7rnnHnh5edU53/ldUl27dkWvXr3QunVrfPrppxg7dmyNz5kyZQomT55sv282mxEbG4vw8HAEBQU1Sf3OSJZlSJKE8PBwl/4wsZ2ux13ayna6Fndpp8FgaJHX0USA+fHHH5GRkYEVK1Y0+rlBQUHo0KEDDh8+XOs8RqMRRqOx2nSdTufSf2SAsqcX2+k63KWdgPu0le10Le7QzpZqmybewQULFqBnz57o1q1bo59bVFSEI0eOIDo6uhkqIyIiIjWoGmCKioqwd+9e7N27FwCQmZmJvXv34vjx4/Z5zGYzVq5ciQcffLDGZfTv3x9vv/22/f6//vUvbNq0CUePHsXWrVtx6623Qq/X46677mrWthAREVHLUbUL6ZdffsGNN95ov181DmX06NFYtGgRAOCTTz6BEKLWAHLkyBGcPn3afv/kyZO46667kJ+fj/DwcPTp0wfbt29HeHh48zWEiIiIWpSqAaZv374QQtQ5z7hx4zBu3LhaHz969KjD/U8++aQpSiMiIiInpokxMERERETnY4AhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizWGAISIiIs1hgCEiIiLNYYAhIiIizVE1wGzevBnDhg1DTEwMJEnCF1984fD4/fffD0mSHC6DBg2qd7nvvPMO2rRpAy8vL/Tq1Qs///xzM7WAiIiI1KBqgCkuLka3bt3wzjvv1DrPoEGDkJWVZb98/PHHdS5zxYoVmDx5MmbMmIHdu3ejW7duSE5ORm5ublOXT0RERCrxUPPFBw8ejMGDB9c5j9FoRFRUVIOX+dprr+Ghhx7CmDFjAADvvvsuvv32W3z44Yd45plnLqleIiIicg6qBpiGSE9PR0REBIKDg9GvXz/MmjULoaGhNc5rtVqxa9cuTJkyxT5Np9NhwIAB2LZtW62vYbFYYLFY7PdNJhMAoKCgoGka4aRkWYbZbIbBYIBO57rDodhO1+MubWU7XYu7tLPqt1MI0ayv49QBZtCgQbjtttsQHx+PI0eOYOrUqRg8eDC2bdsGvV5fbf7Tp0/DZrMhMjLSYXpkZCT++OOPWl8nLS0NM2fOrDY9Pj7+0htBRETkhvLz8xEYGNhsy3fqADNy5Ej77S5duqBr165o27Yt0tPT0b9//yZ7nSlTpmDy5Mn2+wUFBWjdujWOHz/erG++2sxmM2JjY3HixAkEBASoXU6zYTtdj7u0le10Le7STpPJhLi4OISEhDTr6zh1gLlQQkICwsLCcPjw4RoDTFhYGPR6PXJychym5+Tk1DmOxmg0wmg0VpseGBjo0n9kVQICAthOF+Iu7QTcp61sp2txl3Y2dzeZpjrhTp48ifz8fERHR9f4uMFgQM+ePbFhwwb7NFmWsWHDBiQlJbVUmURERNTMVA0wRUVF2Lt3L/bu3QsAyMzMxN69e3H8+HEUFRXhqaeewvbt23H06FFs2LABKSkpaNeuHZKTk+3L6N+/P95++237/cmTJ+P999/H4sWL8fvvv2P8+PEoLi6275VERERE2qdqF9Ivv/yCG2+80X6/ahzK6NGjMX/+fOzbtw+LFy9GQUEBYmJiMHDgQLzwwgsO3T1HjhzB6dOn7ffvvPNO5OXl4dlnn0V2dja6d++ONWvWVBvYWxej0YgZM2bU2K3kSthO1+Iu7QTcp61sp2thO5uWJJp7PyciIiKiJqapMTBEREREAAMMERERaRADDBEREWkOAwwRERFpjtsGmHfeeQdt2rSBl5cXevXqhZ9//rnO+VeuXInExER4eXmhS5cu+O6771qo0ouTlpaGq6++Gv7+/oiIiMDw4cORkZFR53MWLVoESZIcLl5eXi1U8cV57rnnqtWcmJhY53O0ti6rtGnTplpbJUlCampqjfNrZX1u3rwZw4YNQ0xMDCRJwhdffOHwuBACzz77LKKjo+Ht7Y0BAwbg0KFD9S63sZ/x5lZXO8vLy/H000+jS5cu8PX1RUxMDEaNGoVTp07VucyL+ftvbvWtz/vvv79azYMGDap3uVpanwBq/KxKkoRXXnml1mU64/psyG9JWVkZUlNTERoaCj8/P4wYMaLaAWUvdLGf6/O5ZYBZsWIFJk+ejBkzZmD37t3o1q0bkpOTkZubW+P8W7duxV133YWxY8diz549GD58OIYPH44DBw60cOUNt2nTJqSmpmL79u1Yt24dysvLMXDgQBQXF9f5vICAAGRlZdkvx44da6GKL94VV1zhUPOWLVtqnVeL67LKzp07Hdq5bt06AMDtt99e63O0sD6Li4vRrVs3vPPOOzU+PmfOHLz55pt49913sWPHDvj6+iI5ORllZWW1LrOxn/GWUFc7S0pKsHv3bkyfPh27d+/GqlWrkJGRgVtuuaXe5Tbm778l1Lc+AeU8d+fX/PHHH9e5TK2tTwAO7cvKysKHH34ISZIwYsSIOpfrbOuzIb8lkyZNwtdff42VK1di06ZNOHXqFG677bY6l3sxn+tqhBu65pprRGpqqv2+zWYTMTExIi0trcb577jjDjF06FCHab169RIPP/xws9bZlHJzcwUAsWnTplrnWbhwoQgMDGy5oprAjBkzRLdu3Ro8vyusyypPPPGEaNu2rZBlucbHtbg+AYjVq1fb78uyLKKiosQrr7xin1ZQUCCMRqP4+OOPa11OYz/jLe3Cdtbk559/FgDEsWPHap2nsX//La2mdo4ePVqkpKQ0ajmusD5TUlJEv3796pzH2denENV/SwoKCoSnp6dYuXKlfZ7ff/9dABDbtm2rcRkX+7m+kNttgbFardi1axcGDBhgn6bT6TBgwABs27atxuds27bNYX4ASE5OrnV+Z2QymQCg3pNrFRUVoXXr1oiNjUVKSgp+++23lijvkhw6dAgxMTFISEjAPffcg+PHj9c6ryusS0D5O166dCkeeOABSJJU63xaXJ/ny8zMRHZ2tsM6CwwMRK9evWpdZxfzGXdGJpMJkiQhKCiozvka8/fvLNLT0xEREYGOHTti/PjxyM/Pr3VeV1ifOTk5+PbbbzF27Nh653X29Xnhb8muXbtQXl7usH4SExMRFxdX6/q5mM91TdwuwJw+fRo2m63akXkjIyORnZ1d43Oys7MbNb+zkWUZEydOxHXXXYfOnTvXOl/Hjh3x4Ycf4ssvv8TSpUshyzJ69+6NkydPtmC1jdOrVy8sWrQIa9aswfz585GZmYl//OMfKCwsrHF+ra/LKl988QUKCgpw//331zqPFtfnharWS2PW2cV8xp1NWVkZnn76adx11111nvSvsX//zmDQoEFYsmQJNmzYgJdffhmbNm3C4MGDYbPZapzfFdbn4sWL4e/vX2+3irOvz5p+S7Kzs2EwGKoF7fp+U6vmaehzaqKps1HTxUlNTcWBAwfq7UtNSkpyOOll7969cfnll+O9997DCy+80NxlXpTBgwfbb3ft2hW9evVC69at8emnnzbovx2tWrBgAQYPHoyYmJha59Hi+iRlQO8dd9wBIQTmz59f57xa/PsfOXKk/XaXLl3QtWtXtG3bFunp6ejfv7+KlTWfDz/8EPfcc0+9g+idfX029LekpbjdFpiwsDDo9fpqI6RzcnIQFRVV43OioqIaNb8zmTBhAr755hts3LgRrVq1atRzPT090aNHDxw+fLiZqmt6QUFB6NChQ601a3ldVjl27BjWr1+PBx98sFHP0+L6rFovjVlnF/MZdxZV4eXYsWNYt25dnVtfalLf378zSkhIQFhYWK01a3l9AsCPP/6IjIyMRn9eAedan7X9lkRFRcFqtaKgoMBh/vp+U6vmaehzauJ2AcZgMKBnz57YsGGDfZosy9iwYYPDf6vnS0pKcpgfANatW1fr/M5ACIEJEyZg9erV+OGHHxAfH9/oZdhsNuzfvx/R0dHNUGHzKCoqwpEjR2qtWYvr8kILFy5EREQEhg4d2qjnaXF9xsfHIyoqymGdmc1m7Nixo9Z1djGfcWdQFV4OHTqE9evXIzQ0tNHLqO/v3xmdPHkS+fn5tdas1fVZZcGCBejZsye6devW6Oc6w/qs77ekZ8+e8PT0dFg/GRkZOH78eK3r52I+17UV53Y++eQTYTQaxaJFi8TBgwfFuHHjRFBQkMjOzhZCCHHfffeJZ555xj7/Tz/9JDw8PMSrr74qfv/9dzFjxgzh6ekp9u/fr1YT6jV+/HgRGBgo0tPTRVZWlv1SUlJin+fCds6cOVOsXbtWHDlyROzatUuMHDlSeHl5id9++02NJjTIk08+KdLT00VmZqb46aefxIABA0RYWJjIzc0VQrjGujyfzWYTcXFx4umnn672mFbXZ2FhodizZ4/Ys2ePACBee+01sWfPHvveNy+99JIICgoSX375pdi3b59ISUkR8fHxorS01L6Mfv36ibfeest+v77PuBrqaqfVahW33HKLaNWqldi7d6/DZ9ZisdiXcWE76/v7V0Nd7SwsLBT/+te/xLZt20RmZqZYv369uPLKK0X79u1FWVmZfRlaX59VTCaT8PHxEfPnz69xGVpYnw35LXnkkUdEXFyc+OGHH8Qvv/wikpKSRFJSksNyOnbsKFatWmW/35DPdX3cMsAIIcRbb70l4uLihMFgENdcc43Yvn27/bEbbrhBjB492mH+Tz/9VHTo0EEYDAZxxRVXiG+//baFK24cADVeFi5caJ/nwnZOnDjR/p5ERkaKIUOGiN27d7d88Y1w5513iujoaGEwGMRll10m7rzzTnH48GH7466wLs+3du1aAUBkZGRUe0yr63Pjxo01/q1WtUWWZTF9+nQRGRkpjEaj6N+/f7X2t27dWsyYMcNhWl2fcTXU1c7MzMxaP7MbN260L+PCdtb396+GutpZUlIiBg4cKMLDw4Wnp6do3bq1eOihh6oFEa2vzyrvvfee8Pb2FgUFBTUuQwvrsyG/JaWlpeLRRx8VwcHBwsfHR9x6660iKyur2nLOf05DPtf1kSoXTERERKQZbjcGhoiIiLSPAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiIiINIcBhoiIiDSHAYaIiIg0hwGGiDQhLy8PUVFRePHFF+3Ttm7dCoPBgA0bNqhYGRGpgSdzJCLN+O677zB8+HBs3boVHTt2RPfu3ZGSkoLXXntN7dKIqIUxwBCRpqSmpmL9+vW46qqrsH//fuzcuRNGo1HtsoiohTHAEJGmlJaWonPnzjhx4gR27dqFLl26qF0SEamAY2CISFOOHDmCU6dOQZZlHD16VO1yiEgl3AJDRJphtVpxzTXXoHv37ujYsSPmzp2L/fv3IyIiQu3SiKiFMcAQkWY89dRT+Oyzz/Drr7/Cz88PN9xwAwIDA/HNN9+oXRoRtTB2IRGRJqSnp2Pu3Ln46KOPEBAQAJ1Oh48++gg//vgj5s+fr3Z5RNTCuAWGiIiINIdbYIiIiEhzGGCIiIhIcxhgiIiISHMYYIiIiEhzGGCIiIhIcxhgiIiISHMYYIiIiEhzGGCIiIhIcxhgiIiISHMYYIiIiEhzGGCIiIhIc/4fBHOfvin0+LsAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "def bird_plot_solid(x_pos, y_pos, COLOR='brown'):\n", + " x = np.linspace(0, 60, 1000)\n", + "\n", + " p_x = np.abs(x - x_pos) * 0.5 + y_pos\n", + "\n", + " p_x_2 = np.abs(x - x_pos) * 0.3 + y_pos+.5\n", + "\n", + " xmin = x_pos - 2.5\n", + " xmax = xmin + 5\n", + "\n", + " fill_where = (x >= xmin) & (x <= xmax)\n", + " fill_where_a = x < xmin\n", + " fill_where_b = x > xmax\n", + "\n", + "\n", + " plt.plot(x[fill_where], p_x[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| x 0.3 + {y_pos}')\n", + " plt.plot(x[fill_where], p_x_2[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| x 0.3 + {y_pos-.5}')\n", + "\n", + " plt.plot(x[fill_where_a], p_x[fill_where_a], linestyle='dotted', color=COLOR)\n", + " plt.plot(x[fill_where_b], p_x_2[fill_where_b], linestyle='dotted', color=COLOR)\n", + "\n", + " plt.plot(x[fill_where_b], p_x[fill_where_b], linestyle='dotted', color=COLOR)\n", + " plt.plot(x[fill_where_a], p_x_2[fill_where_a], linestyle='dotted', color=COLOR)\n", + "\n", + " plt.fill_between(x, p_x, p_x_2, color=COLOR, alpha=1, where=fill_where)\n", + "\n", + " plt.title('Bird')\n", + " plt.xlabel('x')\n", + " plt.ylabel('p(x)')\n", + " plt.xlim([0, 60])\n", + " plt.ylim([0, 35])" + ], + "metadata": { + "id": "62TTDecuILt4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "def bird_plot_solid_3(x_pos, y_pos, COLOR='brown'):\n", + " x = np.linspace(0, 60, 1000)\n", + "\n", + " p_x = np.abs(x - x_pos) * 0.5 + y_pos\n", + "\n", + " p_x_2 = np.abs(x - x_pos) * 0.3 + y_pos+.5\n", + "\n", + " xmin = x_pos - 2.5\n", + " xmax = xmin + 5\n", + "\n", + " fill_where = (x >= xmin) & (x <= xmax)\n", + " fill_where_a = x < xmin\n", + " fill_where_b = x > xmax\n", + "\n", + "\n", + " plt.plot(x[fill_where], p_x[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| x 0.3 + {y_pos}')\n", + " plt.plot(x[fill_where], p_x_2[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| x 0.3 + {y_pos-.5}')\n", + "\n", + " #plt.plot(x[fill_where_a], p_x[fill_where_a], linestyle='dotted', color=COLOR)\n", + " #plt.plot(x[fill_where_b], p_x_2[fill_where_b], linestyle='dotted', color=COLOR)\n", + "\n", + " #plt.plot(x[fill_where_b], p_x[fill_where_b], linestyle='dotted', color=COLOR)\n", + " #plt.plot(x[fill_where_a], p_x_2[fill_where_a], linestyle='dotted', color=COLOR)\n", + "\n", + " plt.fill_between(x, p_x, p_x_2, color=COLOR, alpha=1, where=fill_where)\n", + "\n", + " plt.title('Bird')\n", + " plt.xlabel('x')\n", + " plt.ylabel('p(x)')\n", + " plt.xlim([0, 60])\n", + " plt.ylim([0, 35])" + ], + "metadata": { + "id": "_xzVfENmgDlW" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(10,6))\n", + "\n", + "bird_plot_solid(32, 16)\n", + "\n", + "plt.grid(True, alpha=0.3)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "SV_prMu0IPso", + "outputId": "5cca4c97-242b-4150-93a4-d706f87861b0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "def bird_plot_solid_2(x_pos, y_pos, COLOR='brown'):\n", + " x = np.linspace(0, 60, 1000)\n", + "\n", + " p_x = np.abs(x - x_pos) * 0.5 + y_pos\n", + "\n", + " p_x_2 = np.abs(x - x_pos) * 0.3 + y_pos+.5\n", + "\n", + " xmin = x_pos - 2.5\n", + " xmax = xmin + 5\n", + "\n", + " fill_where = (x >= xmin) & (x <= xmax)\n", + " fill_where_a = x < xmin\n", + " fill_where_b = x > xmax\n", + "\n", + " plt.plot(x[fill_where], p_x[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| * 0.5 + {y_pos}')\n", + " plt.plot(x[fill_where], p_x_2[fill_where], color=COLOR, label=f'p(x) = |x-{x_pos}| * 0.3 + {y_pos-.5}')\n", + "\n", + " plt.plot(x[fill_where_a], p_x[fill_where_a], linestyle='dotted', color=COLOR)\n", + " plt.plot(x[fill_where_b], p_x_2[fill_where_b], linestyle='dotted', color=COLOR)\n", + "\n", + " plt.plot(x[fill_where_b], p_x[fill_where_b], linestyle='dotted', color=COLOR)\n", + " plt.plot(x[fill_where_a], p_x_2[fill_where_a], linestyle='dotted', color=COLOR)\n", + "\n", + " plt.fill_between(x, p_x, p_x_2, color=COLOR, alpha=.7, where=fill_where)\n", + "\n", + " plt.title('Bird')\n", + " plt.xlabel('x')\n", + " plt.ylabel('p(x)')\n", + " plt.xlim([x_pos-6, x_pos+6])\n", + " plt.ylim([y_pos-2, y_pos+3])" + ], + "metadata": { + "id": "fxsVz68cA1RI" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(10,6))\n", + "\n", + "bird_plot_solid_2(32, 16)\n", + "\n", + "plt.grid(True, alpha=0.3)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "UTCvj5fmAgEB", + "outputId": "7ba46a77-4b5e-4a9a-8270-f6cd97730724" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "plt.figure(figsize=(10,6))\n", + "\n", + "bird_plot_solid(32, 16)\n", + "bird_plot_solid(38, 22)\n", + "bird_plot_solid(46, 28)\n", + "\n", + "plt.grid(True, alpha=0.3)\n", + "plt.legend()\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "_ZYEE-9tJODA", + "outputId": "3a162512-16cf-4b26-fb16-b20f7f6ca0d3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# Final Painting" + ], + "metadata": { + "id": "3Fk7S9zjfuWX" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sea_color = '#40A2E2'\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "plt.grid(True, alpha=0.3)\n", + "\n", + "plt.plot(x, f_x, color=sea_color, label='f(x) = 0.4*sin(x) + 5')\n", + "\n", + "# Fill the area under the curve with blue\n", + "plt.fill_between(x, f_x, color=sea_color, alpha=1) # alpha controls the transparency of the fill\n", + "\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(25)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color=sun_color, label='(x-10)^2 + (y-25)^2 = 25')\n", + "plt.plot(x, y_negative, color=sun_color)\n", + "\n", + "# Fill the inside of the circle with a custom HEX color (blue-violet in this case)\n", + "plt.fill_between(x, y_positive, y_negative, color=sun_color, alpha=1) # Using HEX color for blue-violet\n", + "\n", + "bird_plot_solid_3(32, 16)\n", + "bird_plot_solid_3(38, 22)\n", + "bird_plot_solid_3(46, 28)\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Painting')\n", + "plt.xlabel('x')\n", + "plt.ylabel('f(x)')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.legend(loc='lower right')\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 564 + }, + "id": "FpCAaQ9Xfv0G", + "outputId": "5f198516-e873-47e3-b5a5-7afd1a774fa3" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sea_color = '#40A2E2'\n", + "\n", + "# Define the range of x values and compute the corresponding f(x) values\n", + "x = np.linspace(0, 60, 1000) # 1000 points between 0 and 60\n", + "f_x = 0.4 * np.sin(x) + 7\n", + "\n", + "# Plotting\n", + "plt.figure(figsize=(10,6))\n", + "plt.grid(False)\n", + "\n", + "plt.plot(x, f_x, color=sea_color, label='f(x) = 0.4*sin(x) + 5')\n", + "\n", + "# Fill the area under the curve with blue\n", + "plt.fill_between(x, f_x, color=sea_color, alpha=1) # alpha controls the transparency of the fill\n", + "\n", + "center_x = 10\n", + "center_y = 25\n", + "radius = np.sqrt(25)\n", + "\n", + "# Generate x values within the circle's domain\n", + "x = np.linspace(center_x - radius, center_x + radius, 1000)\n", + "\n", + "# Compute y values from circle equation\n", + "y_positive = center_y + np.sqrt(radius**2 - (x-center_x)**2)\n", + "y_negative = center_y - np.sqrt(radius**2 - (x-center_x)**2)\n", + "\n", + "# Plot both the positive and negative parts of the circle in orange color\n", + "plt.plot(x, y_positive, color=sun_color, label='(x-10)^2 + (y-25)^2 = 25')\n", + "plt.plot(x, y_negative, color=sun_color)\n", + "\n", + "# Fill the inside of the circle with a custom HEX color (blue-violet in this case)\n", + "plt.fill_between(x, y_positive, y_negative, color=sun_color, alpha=1) # Using HEX color for blue-violet\n", + "\n", + "bird_plot_solid_3(32, 16)\n", + "bird_plot_solid_3(38, 22)\n", + "bird_plot_solid_3(46, 28)\n", + "\n", + "# Setting title, labels, and limits\n", + "plt.title('Painting')\n", + "plt.xlabel('')\n", + "plt.ylabel('')\n", + "plt.xlim([0, 60])\n", + "plt.ylim([0, 35])\n", + "\n", + "plt.show()" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 545 + }, + "id": "TGh2IuiHiHda", + "outputId": "8f2266fa-69ac-408e-c59a-3aeeaec68ced" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# TESTE" + ], + "metadata": { + "id": "5JWopla5oMzu" + } + }, + { + "cell_type": "markdown", + "source": [ + "## Regra do Trapézio\n" + ], + "metadata": { + "id": "o2R04ULsW6ZE" + } + }, + { + "cell_type": "code", + "source": [ + "# 1/3 Simpson\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import sympy as sy\n", + "import scipy as sp\n", + "from scipy import interpolate\n", + "from scipy import integrate\n", + "%matplotlib inline\n", + "\n", + "# Representação geométrica da regra do trapézio (simples)\n", + "\n", + "def f(x):\n", + " return -x**2 + 15*x - 10\n", + "\n", + "x = np.linspace(0.5,10,100)\n", + "y = f(x)\n", + "\n", + "plt.plot(x,y, label = 'f(x)')\n", + "plt.plot([2,8], [f(2),f(8)], 'r', label = 'f1(x)')\n", + "plt.plot(2,f(2), 'o', label = 'f(a)')\n", + "plt.plot(8,f(8), 'o', label = 'f(b)')\n", + "plt.plot(np.mean([2,8]), np.mean([f(2),f(8)]), 'o', label = 'Altura Média')\n", + "plt.fill([2, 2, 8, 8],[0, f(2), f(8), 0],color='r',alpha=0.4, label = 'Área do Trapézio')\n", + "plt.legend()\n", + "plt.axvline(x=0,color='k',linewidth=0.6,linestyle='--')\n", + "plt.axhline(y=0,color='k',linewidth=0.6,linestyle='--');" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "hzQCIAkHW93E", + "outputId": "719bfb82-0074-4c6f-a9d6-9d50b73cfc86" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "code", + "source": [ + "# Representação geométrica da aplicação múltipla da regra do trapézio\n", + "# É possível observar, visualmente, que houve uma redução do erro do resultado em comparação com o caso anterior\n", + "\n", + "xd = np.array([2,5,8])\n", + "yd = f(xd)\n", + "\n", + "plt.plot(x,y, label = 'f(x)')\n", + "plt.plot(xd,yd, 'r')\n", + "plt.plot(2,f(2), 'o', label = 'f(x0)')\n", + "plt.plot(5,f(5), 'o', label = 'f(x1)')\n", + "plt.plot(8,f(8), 'o', label = 'f(x2)')\n", + "plt.fill([2, 2, 5, 5],[0, f(2), f(5), 0], color='r', alpha=0.6, label = 'Área do Trapézio 1')\n", + "plt.fill([5, 5, 8, 8],[0, f(5), f(8), 0], color='r', alpha=0.3, label = 'Área do Trapézio 2')\n", + "plt.legend()\n", + "plt.axvline(x=0,color='k',linewidth=0.6,linestyle='--')\n", + "plt.axhline(y=0,color='k',linewidth=0.6,linestyle='--');" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "_Q-t6G2AXYKN", + "outputId": "9c9a9f73-0874-40b2-8ca6-26913033603d" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Simpson 1/3\n" + ], + "metadata": { + "id": "ajk36inuYMoG" + } + }, + { + "cell_type": "code", + "source": [ + "# Descrição gráfica da regra 1/3 de Simpson: ela consiste em tomar a área sob uma parábola ligando três pontos\n", + "\n", + "def f(x):\n", + " return 0.6*np.sin(x+np.pi/2) + 0.2*x + 2\n", + "\n", + "def f2(x):\n", + " return -0.127382111059529*x**2 + 1.73647155618593*x - 2.0569711669823 # Obtido pelo MMQ\n", + "\n", + "x = np.linspace(2,10,100)\n", + "y = f(x)\n", + "\n", + "xc = np.linspace(2,10,100)\n", + "yc = f2(xc)\n", + "\n", + "xf = np.linspace(3,9,100)\n", + "yf = f2(xf)\n", + "\n", + "xf = np.concatenate((np.array([3]), xf, np.array([9])))\n", + "yf = np.concatenate((np.array([0]), yf, np.array([0])))\n", + "\n", + "plt.plot(x,y, label = 'f(x)')\n", + "plt.plot(xc,yc, ':r', label = 'f2(x)')\n", + "plt.plot(3,f(3), 'o', label = 'f(x0)')\n", + "plt.plot(6,f(6), 'o', label = 'f(x1)')\n", + "plt.plot(9,f(9), 'o', label = 'f(x2)')\n", + "plt.fill(xf,yf, color='r', alpha=0.4)\n", + "plt.legend()\n", + "plt.axvline(x=0,color='k',linewidth=0.6,linestyle='--')\n", + "plt.axhline(y=0,color='k',linewidth=0.6,linestyle='--');" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 430 + }, + "id": "Nx4m0mXLYOcA", + "outputId": "091caf61-821c-400b-cc7e-8a18ce643f7f" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## Comparação entre Trapézio e Simpson\n", + "\n" + ], + "metadata": { + "id": "yY3CpwAWYQNW" + } + }, + { + "cell_type": "code", + "source": [ + "''' Newton-Cotes: Regra do Trapezio\n", + " assume Y igualmente espaçado e\n", + " com pelo menos 2 pontos\n", + "'''\n", + "def integral_trapezio(h,Y):\n", + " val = 0.0\n", + " for i in range(1,Y.size-1):\n", + " val += 2*Y[i]\n", + " val = 0.5*h*( val + Y[0] + Y[-1] )\n", + " return val\n", + "\n", + "''' Newton-Cotes: Regra 1/3 de Simpson\n", + " assume Y igualmente espaçado e\n", + " com pelo menos 3 pontos\n", + "'''\n", + "def integral_onethird_simpson(h,Y):\n", + " val = 0.0\n", + " for i in range(1,Y.size-1,2):\n", + " val += 4*Y[i]\n", + "\n", + " for i in range(2,Y.size-2,2):\n", + " val += 2*Y[i]\n", + "\n", + " val = h/3.0*( val + Y[0] + Y[-1] )\n", + " return val\n", + "\n", + "''' HELPER'''\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# limites de integração\n", + "a = 0\n", + "b = 93\n", + "\n", + "# integrando\n", + "f = lambda v: 97000*v/(5*v**2 + 570000)\n", + "\n", + "# pontos de integração (ímpares para testar com 1/3 simpson)\n", + "npi = [11,101,1001,10001,100001]\n", + "\n", + "# integral exata\n", + "x = sy.Symbol('x')\n", + "vex = sy.integrate(f(x),(x,a,b))\n", + "print('Ingegral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio','13simpson']\n", + "no = False\n", + "\n", + "# integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a,b,num=n,endpoint=True)\n", + " fv = f(v)\n", + " h = (b-a)/n\n", + "\n", + " if metodo == 'trapezio':\n", + " if no == False:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h,fv)\n", + " erel = abs((vex - val)/vex)*100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"no. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n,val,erel) )\n", + "\n", + " elif metodo == '13simpson':\n", + " if no == False:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h,fv)\n", + " erel = abs((vex - val)/vex)*100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"no. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n,val,erel) )\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4bJsCvBCYXKJ", + "outputId": "6e65afee-48a3-4f30-f9fd-0365ebb99fed" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Ingegral exata (simbólica): -9700*log(114000) + 9700*log(122649)\n", + "Integral exata (numérica): 709.3432392521672\n", + "*** Método de integração: TRAPEZIO ***\n", + "no. de pontos de integração = 11 \t I = 644.6326388025 \t EREL = 9.1226076276%\n", + "no. de pontos de integração = 101 \t I = 702.3175905243 \t EREL = 0.9904441657%\n", + "no. de pontos de integração = 1001 \t I = 708.6345799441 \t EREL = 0.0999035825%\n", + "no. de pontos de integração = 10001 \t I = 709.2723117737 \t EREL = 0.0099990350%\n", + "no. de pontos de integração = 100001 \t I = 709.3361458882 \t EREL = 0.0009999903%\n", + "*** Método de integração: 13SIMPSON ***\n", + "no. de pontos de integração = 11 \t I = 644.8576901994 \t EREL = 9.0908809000%\n", + "no. de pontos de integração = 101 \t I = 702.3200388852 \t EREL = 0.9900990068%\n", + "no. de pontos de integração = 1001 \t I = 708.6346046475 \t EREL = 0.0999000999%\n", + "no. de pontos de integração = 10001 \t I = 709.2723120210 \t EREL = 0.0099990001%\n", + "no. de pontos de integração = 100001 \t I = 709.3361458907 \t EREL = 0.0009999900%\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "# 1/3 SIMPSON E TRAPEZIO COMPARATIVO" + ], + "metadata": { + "id": "TK6yNLeXS6eF" + } + }, + { + "cell_type": "markdown", + "source": [ + "## SENO INTERVALO 0 -> 60" + ], + "metadata": { + "id": "43E7gh2KkQme" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "f(x) = 0.4 \\sin(x) + 5\n", + "$$\n" + ], + "metadata": { + "id": "AzHYnAALoS-Z" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\int_{0}^{60} (0.4 \\sin(x) + 5) \\, dx\n", + "$$\n" + ], + "metadata": { + "id": "ha1KL6wxoZ1W" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import sympy as sy\n", + "\n", + "# Newton-Cotes: Regra do Trapézio\n", + "# Assume Y igualmente espaçado e com pelo menos 2 pontos\n", + "def integral_trapezio(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1):\n", + " val += 2 * Y[i]\n", + " val = 0.5 * h * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# Newton-Cotes: Regra 1/3 de Simpson\n", + "# Assume Y igualmente espaçado e com pelo menos 3 pontos\n", + "def integral_onethird_simpson(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1, 2):\n", + " val += 4 * Y[i]\n", + "\n", + " for i in range(2, len(Y) - 2, 2):\n", + " val += 2 * Y[i]\n", + "\n", + " val = h / 3.0 * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# HELPER\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# Limites de integração\n", + "a = 0\n", + "b = 60 # Alterado para 0 e 60\n", + "\n", + "# Função a ser integrada: 0.4*sin(x) + 5\n", + "x = sy.symbols('x')\n", + "f = 0.4*sy.sin(x) + 5\n", + "\n", + "# Pontos de integração (ímpares para testar com 1/3 de Simpson)\n", + "npi = [11, 101, 1001, 10001, 100001]\n", + "\n", + "# Integral exata\n", + "vex = sy.integrate(f, (x, a, b))\n", + "print('Integral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio', '13simpson']\n", + "no = False\n", + "\n", + "# Integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a, b, num=n, endpoint=True)\n", + " fv = [float(f.subs(x, val)) for val in v]\n", + " h = (b - a) / n\n", + "\n", + " if metodo == 'trapezio':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " elif metodo == '13simpson':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4k_r6T1mRGQi", + "outputId": "9290a4a8-b27c-4ed6-e106-5bd4c59a9975" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Integral exata (simbólica): 300.4 - 0.4*cos(60)\n", + "Integral exata (numérica): 300.78096519216604\n", + "*** Método de integração: TRAPEZIO ***\n", + "No. de pontos de integração = 11 \t I = 257.7854507538 \t EREL = 14.2946261280%\n", + "No. de pontos de integração = 101 \t I = 297.7795984622 \t EREL = 0.9978579356%\n", + "No. de pontos de integração = 1001 \t I = 300.4802506379 \t EREL = 0.0999779205%\n", + "No. de pontos de integração = 10001 \t I = 300.7508877605 \t EREL = 0.0099997790%\n", + "No. de pontos de integração = 100001 \t I = 300.7779573892 \t EREL = 0.0009999978%\n", + "*** Método de integração: 13SIMPSON ***\n", + "No. de pontos de integração = 11 \t I = 257.6842472189 \t EREL = 14.3282730494%\n", + "No. de pontos de integração = 101 \t I = 297.8035173576 \t EREL = 0.9899056719%\n", + "No. de pontos de integração = 1001 \t I = 300.4804847637 \t EREL = 0.0999000812%\n", + "No. de pontos de integração = 10001 \t I = 300.7508901032 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = 300.7779574126 \t EREL = 0.0009999900%\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ASA 1" + ], + "metadata": { + "id": "uwJn4N9Gk72G" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "f(x) = 0.3 |x - 32| + 16\n", + "$$\n" + ], + "metadata": { + "id": "wS4trMLvp2mN" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\int_{29.5}^{34.5} f(x) \\, dx = \\int_{29.5}^{32} \\left( 0.3(32 - x) + 16 \\right) \\, dx + \\int_{32}^{34.5} \\left( 0.3(x - 32) + 16 \\right) \\, dx\n", + "$$\n" + ], + "metadata": { + "id": "KBJypRNal5ne" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import sympy as sy\n", + "\n", + "# Newton-Cotes: Regra do Trapézio\n", + "def integral_trapezio(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1):\n", + " val += 2 * Y[i]\n", + " val = 0.5 * h * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# Newton-Cotes: Regra 1/3 de Simpson\n", + "def integral_onethird_simpson(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1, 2):\n", + " val += 4 * Y[i]\n", + "\n", + " for i in range(2, len(Y) - 2, 2):\n", + " val += 2 * Y[i]\n", + "\n", + " val = h / 3.0 * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# HELPER\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# Limites de integração\n", + "a = 29.5\n", + "b = 34.5\n", + "\n", + "\n", + "x = sy.symbols('x')\n", + "f = 0.3*sy.Abs(x - 32) + 16\n", + "\n", + "# Pontos de integração (ímpares para testar com 1/3 de Simpson)\n", + "npi = [11, 101, 1001, 10001, 100001]\n", + "\n", + "# Integral exata\n", + "vex = sy.integrate(f, (x, a, b))\n", + "print('Integral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio', '13simpson']\n", + "no = False\n", + "\n", + "# Integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a, b, num=n, endpoint=True)\n", + " fv = [float(f.subs(x, val)) for val in v]\n", + " h = (b - a) / n\n", + "\n", + " if metodo == 'trapezio':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " elif metodo == '13simpson':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "oTxWwqePk9g2", + "outputId": "2b8ab472-b24e-4c01-f14c-b48fb0c17382" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Integral exata (simbólica): 81.8750000000000\n", + "Integral exata (numérica): 81.875\n", + "*** Método de integração: TRAPEZIO ***\n", + "No. de pontos de integração = 11 \t I = 74.4318181818 \t EREL = 9.0909090909%\n", + "No. de pontos de integração = 101 \t I = 81.0643564356 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = 81.7932067932 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = 81.8668133187 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = 81.8741812582 \t EREL = 0.0009999900%\n", + "*** Método de integração: 13SIMPSON ***\n", + "No. de pontos de integração = 11 \t I = 74.4090909091 \t EREL = 9.1186675920%\n", + "No. de pontos de integração = 101 \t I = 81.0643564356 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = 81.7932067932 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = 81.8668133187 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = 81.8741812582 \t EREL = 0.0009999900%\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ASA 2" + ], + "metadata": { + "id": "pz6DYbvFkS__" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "f(x) = 0.5 |x - 32| + 15.5\n", + "$$\n" + ], + "metadata": { + "id": "16QYolcMp4Po" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\int_{29.5}^{34.5} f(x) \\, dx = \\int_{29.5}^{32} \\left( 0.5(32 - x) + 15.5 \\right) \\, dx + \\int_{32}^{34.5} \\left( 0.5(x - 32) + 15.5 \\right) \\, dx\n", + "$$\n" + ], + "metadata": { + "id": "UapYc-qelfsm" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import sympy as sy\n", + "\n", + "# Newton-Cotes: Regra do Trapézio\n", + "def integral_trapezio(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1):\n", + " val += 2 * Y[i]\n", + " val = 0.5 * h * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# Newton-Cotes: Regra 1/3 de Simpson\n", + "def integral_onethird_simpson(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1, 2):\n", + " val += 4 * Y[i]\n", + "\n", + " for i in range(2, len(Y) - 2, 2):\n", + " val += 2 * Y[i]\n", + "\n", + " val = h / 3.0 * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# HELPER\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# Limites de integração\n", + "a = 29.5\n", + "b = 34.5\n", + "\n", + "# Função a ser integrada: 0.5*abs(x - 32) + 15.5\n", + "x = sy.symbols('x')\n", + "f = 0.5*sy.Abs(x - 32) + 15.5\n", + "\n", + "# Pontos de integração (ímpares para testar com 1/3 de Simpson)\n", + "npi = [11, 101, 1001, 10001, 100001]\n", + "\n", + "# Integral exata\n", + "vex = sy.integrate(f, (x, a, b))\n", + "print('Integral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio', '13simpson']\n", + "no = False\n", + "\n", + "# Integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a, b, num=n, endpoint=True)\n", + " fv = [float(f.subs(x, val)) for val in v]\n", + " h = (b - a) / n\n", + "\n", + " if metodo == 'trapezio':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " elif metodo == '13simpson':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "FfGNOjM-j7TI", + "outputId": "9f0aab71-835b-4485-961b-c275ffca6bb0" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Integral exata (simbólica): 80.6250000000000\n", + "Integral exata (numérica): 80.625\n", + "*** Método de integração: TRAPEZIO ***\n", + "No. de pontos de integração = 11 \t I = 73.2954545455 \t EREL = 9.0909090909%\n", + "No. de pontos de integração = 101 \t I = 79.8267326733 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = 80.5444555445 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = 80.6169383062 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = 80.6241937581 \t EREL = 0.0009999900%\n", + "*** Método de integração: 13SIMPSON ***\n", + "No. de pontos de integração = 11 \t I = 73.2575757576 \t EREL = 9.1378905332%\n", + "No. de pontos de integração = 101 \t I = 79.8267326733 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = 80.5444555445 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = 80.6169383062 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = 80.6241937581 \t EREL = 0.0009999900%\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## ASAS" + ], + "metadata": { + "id": "ektMlxSLmT0_" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "f(x) = 0.2 |x - 32| - 0.5\n", + "$$\n" + ], + "metadata": { + "id": "wBFI288upONX" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\int_{29.5}^{34.5} f(x) \\, dx = \\int_{29.5}^{32} \\left( 0.2(32 - x) - 0.5 \\right) \\, dx + \\int_{32}^{34.5} \\left( 0.2(x - 32) - 0.5 \\right) \\, dx\n", + "$$\n" + ], + "metadata": { + "id": "oRhqzn_8mONP" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import sympy as sy\n", + "\n", + "# Newton-Cotes: Regra do Trapézio\n", + "def integral_trapezio(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1):\n", + " val += 2 * Y[i]\n", + " val = 0.5 * h * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# Newton-Cotes: Regra 1/3 de Simpson\n", + "def integral_onethird_simpson(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1, 2):\n", + " val += 4 * Y[i]\n", + "\n", + " for i in range(2, len(Y) - 2, 2):\n", + " val += 2 * Y[i]\n", + "\n", + " val = h / 3.0 * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# HELPER\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# Limites de integração\n", + "a = 29.5\n", + "b = 34.5\n", + "\n", + "# Função a ser integrada: 0.5*abs(x - 32) + 15.5\n", + "x = sy.symbols('x')\n", + "f = 0.2*sy.Abs(x - 32) - 0.5\n", + "\n", + "# Pontos de integração (ímpares para testar com 1/3 de Simpson)\n", + "npi = [11, 101, 1001, 10001, 100001]\n", + "\n", + "# Integral exata\n", + "vex = sy.integrate(f, (x, a, b))\n", + "print('Integral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio', '13simpson']\n", + "no = False\n", + "\n", + "# Integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a, b, num=n, endpoint=True)\n", + " fv = [float(f.subs(x, val)) for val in v]\n", + " h = (b - a) / n\n", + "\n", + " if metodo == 'trapezio':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " elif metodo == '13simpson':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "la24zW9qmUvn", + "outputId": "ae4d55b7-be37-4f7d-913f-e3862c4bdbc9" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Integral exata (simbólica): -1.25000000000000\n", + "Integral exata (numérica): -1.25\n", + "*** Método de integração: TRAPEZIO ***\n", + "No. de pontos de integração = 11 \t I = -1.1363636364 \t EREL = 9.0909090909%\n", + "No. de pontos de integração = 101 \t I = -1.2376237624 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = -1.2487512488 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = -1.2498750125 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = -1.2499875001 \t EREL = 0.0009999900%\n", + "*** Método de integração: 13SIMPSON ***\n", + "No. de pontos de integração = 11 \t I = -1.1515151515 \t EREL = 7.8787878788%\n", + "No. de pontos de integração = 101 \t I = -1.2376237624 \t EREL = 0.9900990099%\n", + "No. de pontos de integração = 1001 \t I = -1.2487512488 \t EREL = 0.0999000999%\n", + "No. de pontos de integração = 10001 \t I = -1.2498750125 \t EREL = 0.0099990001%\n", + "No. de pontos de integração = 100001 \t I = -1.2499875001 \t EREL = 0.0009999900%\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "## SOL" + ], + "metadata": { + "id": "JnsACF3tmhl2" + } + }, + { + "cell_type": "markdown", + "source": [ + "$$\n", + "\\begin{align*}\n", + "1. & \\quad (x-10)^2 + (y-25)^2 = 18 \\\\\n", + "2. & \\quad y = 25 \\pm \\sqrt{18 - (x-10)^2} \\\\\n", + "3. & \\quad \\text{Area} = \\int_a^b \\left( 25 + \\sqrt{18 - (x-10)^2} \\right) \\, dx - \\int_a^b \\left( 25 - \\sqrt{18 - (x-10)^2} \\right) \\, dx\n", + "\\end{align*}\n", + "$$\n" + ], + "metadata": { + "id": "wmNhfKCenbTv" + } + }, + { + "cell_type": "code", + "source": [ + "import numpy as np\n", + "import sympy as sy\n", + "\n", + "# Newton-Cotes: Regra do Trapézio\n", + "def integral_trapezio(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1):\n", + " val += 2 * Y[i]\n", + " val = 0.5 * h * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# Newton-Cotes: Regra 1/3 de Simpson\n", + "def integral_onethird_simpson(h, Y):\n", + " val = 0.0\n", + " for i in range(1, len(Y) - 1, 2):\n", + " val += 4 * Y[i]\n", + "\n", + " for i in range(2, len(Y) - 2, 2):\n", + " val += 2 * Y[i]\n", + "\n", + " val = h / 3.0 * (val + Y[0] + Y[-1])\n", + " return val\n", + "\n", + "# HELPER\n", + "def print_metodo(flag):\n", + " print('*** Método de integração: ' + str.upper(flag) + ' ***')\n", + "\n", + "# Limites de integração\n", + "radius = sy.sqrt(25)\n", + "a = float(10 - radius.evalf())\n", + "b = float(10 + radius.evalf())\n", + "\n", + "x = sy.symbols('x')\n", + "f_positive = sy.sqrt(25 - (x-10)**2)\n", + "\n", + "f = 2 * f_positive\n", + "\n", + "# Pontos de integração (ímpares para testar com 1/3 de Simpson)\n", + "npi = [11, 101, 1001, 10001, 100001]\n", + "\n", + "# Integral exata\n", + "vex = sy.integrate(f, (x, a, b))\n", + "print('Integral exata (simbólica): ' + str(vex))\n", + "vex = float(vex)\n", + "print('Integral exata (numérica): ' + str(vex))\n", + "\n", + "metodos = ['trapezio', '13simpson']\n", + "no = False\n", + "\n", + "# Integração numérica\n", + "for metodo in metodos:\n", + " I = []\n", + " EREL = []\n", + " for n in npi:\n", + " v = np.linspace(a, b, num=n, endpoint=True)\n", + " fv = [float(f.subs(x, val)) for val in v]\n", + " h = (b - a) / n\n", + "\n", + " if metodo == 'trapezio':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_trapezio(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " elif metodo == '13simpson':\n", + " if not no:\n", + " print_metodo(metodo)\n", + " no = True\n", + " val = integral_onethird_simpson(h, fv)\n", + " erel = abs((vex - val) / vex) * 100\n", + " I.append(val)\n", + " EREL.append(erel)\n", + " print(\"No. de pontos de integração = {0:d} \\t I = {1:.10f} \\t EREL = {2:.10f}%\".format(n, val, erel))\n", + "\n", + " no = False" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "kbAjtFjRmkFu", + "outputId": "e1f153bf-3f12-41a5-877e-079b1ff11ba7" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Integral exata (simbólica): 25*pi\n", + "Integral exata (numérica): 78.53981633974483\n", + "*** Método de integração: TRAPEZIO ***\n", + "No. de pontos de integração = 11 \t I = 69.0238370201 \t EREL = 12.1161211767%\n", + "No. de pontos de integração = 101 \t I = 77.6799136411 \t EREL = 1.0948621206%\n", + "No. de pontos de integração = 1001 \t I = 78.4587281969 \t EREL = 0.1032446301%\n", + "No. de pontos de integração = 10001 \t I = 78.5318799978 \t EREL = 0.0101048644%\n", + "No. de pontos de integração = 100001 \t I = 78.5390283199 \t EREL = 0.0010033380%\n", + "*** Método de integração: 13SIMPSON ***\n", + "No. de pontos de integração = 11 \t I = 70.4584990921 \t EREL = 10.2894526933%\n", + "No. de pontos de integração = 101 \t I = 77.7300143027 \t EREL = 1.0310719769%\n", + "No. de pontos de integração = 1001 \t I = 78.4603290085 \t EREL = 0.1012064134%\n", + "No. de pontos de integração = 10001 \t I = 78.5319306725 \t EREL = 0.0100403433%\n", + "No. de pontos de integração = 100001 \t I = 78.5390299225 \t EREL = 0.0010012975%\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/ChernobylAv1.pdf b/ChernobylAv1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..25f170b525aa5522b5096cac40f626e4d6bedfff GIT binary patch literal 1197060 zcmd42bzECd*Do3h6sM&?aSFwX6Wp~(aCayU0fGgmv;_(jiUyZLaSiS+#oZxjai@5J zLT}pN^UA&F{Bh6u=Y4iEpIKvT)_3hSYxeA!&7l5TjvdG$fQQXci@fl#fizq+&KCA~ z*rKAG+CDDUoHFL_=8n#`oa*Mb)=(O5WU(fvvbmG(D;IZW8cr>DHxEm9Z8vLcO=o9! z8X&L0-wJ9T?v7w5WPKnH*WU~kb2kT&lZ`Wy>mSnEiU!%xT3nn{#oFE63fTn>kHDX< 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