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manipula-listas.pl
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manipula-listas.pl
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%01.-----------------------------------------------------------
n_esimo_cc(1,A1,_,A1).
n_esimo_cc(N,A1,R,AN):-
N>1,
A2 is A1 + R,
N1 is N-1,
n_esimo_cc(N1,A2,R,AN).
n_esimo_pa(1,A1,_,A1).
n_esimo_pa(N,A1,R,AN):-
N1 is N-1,
n_esimo_pa(N1,A1,R,AN1),
AN is R+AN1.
%02.-----------------------------------------------------------
somapa_cc(N,A1,R,SUM):- somapa_cc_aux(N,1,A1,A1,R,SUM).
soma_pa_cc_aux(N,N,A,_,_,A).
soma_pa_cc_aux(N,I,A,AI,R,SUM):-
I < N,
I1 is I + 1,
AI1 is AI + R,
AA is A + AI1,
soma_pa_cc_aux(N,I1,AA,AI1,R,SUM).
soma_pa(1,A1,_,A1).
soma_pa(N,A1,R,ANS):-
N > 1,
n_esimo(N,A1,R,AN),
N1 is N - 1,
soma_pa(N1,A1,R,ANS1),
ANS is AN + ANS1,!.
%03. ----------------------------------------------------------
% 1. X = a.
% 2. X = [ ].
% 3. false.
% 4. X = [a].
% 5. false.
% 6. X = a,
% Y = b.
% 7. false.
% 8. X = a,
% Y = b,
% Z = c.
% 9. false.
% 10. X = a,
% Y = b.
% 11. X = a,
% Y = [ ].
% 12. false.
% 13. X = a,
% Y = [b,c].
% 14. X = a,
% Y = b,
% Z = [c].
% 15. X = a,
% Y = b,
% Z = [ ].
% 16. false.
% 17. X = a,
% Y = b,
% Z = [c,d].
% 18. X = a,
% Y = b,
% Z = [a].
% 19. X = Z,
% Z = [a],
% Y = b.
%04. ----------------------------------------------------------
n_esimo(1,E,[E|_]).
n_esimo(N,E,[_|Y]):-
N>1,
N1 is N-1,
n_esimo(N1,E,Y),!.
%05.-----------------------------------------------------------
no_elementos([],0).
no_elementos([_|Y],N):-
no_elementos(Y,N1),
N is N1 + 1.
%06.07.-------------------------------------------------------
tire_elemento(X,[X|Y],Y).
tire_elemento(X,[Y|C],[Y|D]):-
X\=Y,
tire_elemento(X,C,D).
%08.09.--------------------------------------------------------
retirar_ocor(_,[],[]).
retirar_ocor(X,[X|Y],R):-
retirar_ocor(X,Y,R).
retirar_ocor(X,[Z|Y],R):-
X\=Z,
retirar_ocor(X,Y,R1),
R = [Z|R1],!.
%10.-----------------------------------------------------------
retire_repet([],[]).
retire_repet([X|Y],R):-
retire_repet(Y,R2),
retirar_ocor(X,R2,R1),
inserir_cabeca(X,R1,R),!.
%11.-----------------------------------------------------------
concatenar([],L2,L2).
concatenar([X|Y],L,[X|W]):-
concatenar(Y,L,W).
%12.-----------------------------------------------------------
maior([X],X).
maior([X|[Y|Z]],M):-
X>Y,
maior([X|Z],M).
maior([X|[Y|Z]],M):-
Y>=X,
maior([Y|Z],M),!.
%13.-----------------------------------------------------------
menor([X],X).
menor([X|[Y|Z]],M):-
X<Y,
menor([X|Z],M).
menor([X|[Y|Z]],M):-
Y=<X,
menor([Y|Z],M),!.
%14.------------------------------------------------------------
pegar([],_,[]).
pegar([X|Y],[Z|W],P):-
pegar(Y,[Z|W],P1),
posicao(X,[Z|W],ELEM),
inserir_cabeca(ELEM,P1,P),!.
posicao(1,[X|_],X).
posicao(N,[_|Y],P):-
N1 is N-1,
posicao(N1,Y,P).
%15.------------------------------------------------------------
inserir_cabeca(X,L,[X|L]).
%16.------------------------------------------------------------
inserir_N(E,1,L,[E|L]).
inserir_N(E,N,[X|Y],R):-
N1 is N-1,
inserir_cabeca(X,R1,R),
inserir_N(E,N1,Y,R1),!.
%17.-----------------------------------------------------------
inverter([],[]).
inverter([X|Y],R):-
inverter(Y,R1),
append(R1,[X],R).
%18.----------------------------------------------------------
substitui(A,B,[A|Y],[B|Y]):-!.
substitui(A,B,[X|Y],R):-
substitui(A,B,Y,R1),
inserir_cabeca(X,R1,R),!.
%19.----------------------------------------------------------
duplica_todos([],[]).
duplica_todos([X|Y],R):-
duplica(Y,Y1),
X1 is X*2,
R = [X1|Y1].
%20.----------------------------------------------------------
duplica_um(A,[X|Y],R):-
B is 2*A,
substitui(A,B,[X|Y],R).
%21.----------------------------------------------------------
nao_vazia([X|Y],[Z|W]):-
not(disjuntos([X|Y],[Z|W])).
%22.----------------------------------------------------------
uniao(A,B,U):-
concatenar(A,B,C),
retire_repet(C,U).
%23.----------------------------------------------------------
disjuntos(_,[]).
disjuntos([],_).
disjuntos([X|Y],[Z|W]):-
disjuntos(Y,[Z|W]),
not(pertence([Z|W],X)).
pertence([X|_],Z):-
Z=X,!.
pertence([_|Y],Z):-
pertence(Y,Z).
%24.----------------------------------------------------------
iguais([X],[X]):- !.
iguais([X|Y],[X|Z]):-
iguais(Y,Z).