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TrabPronto.txt
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TrabPronto.txt
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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(1,A1,_,A1).
n_esimo(N,A1,Ra,A):-
A is (N-1)*Ra + A1.
n_esimo2(1,I,_,I).
n_esimo2(N,I,R,X):-
N1 is N-1,
n_esimo2(N1,I,R,X1),
X is R+X1.
%02.-----------------------------------------------------------
sumPa_cc(A1, R, N, ANS):-
n_esimo_cc(N,A1,R,AN),
ANS is ((A1+AN)*N)/2.
sumPa(1,A1,_,A1,A1).
sumPa(N,A1,R,PA,S):-
N>1,
N1 is N-1,
sumPa(N1,A1,R,PA1,S1),
PA is PA1+R,
S is S1+R.
%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_lista(X,[X|_],1).
n_esimo_lista(X,[_|L],N):-
N>1,
N1 is N-1,
n_esimo_lista(X,L,N1).
%05.-----------------------------------------------------------
no_elementos([],0).
no_elementos([_|L],N) :-
no_elementos(L,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.--------------------------------------------------------
remove_ocor([],_,[]).
remove_ocor([X|Y],X,R):-
remove_ocor(Y,X,R).
remove_ocor([X|Y],Z,R):-
X\=Z,
remove_ocor(Y,Z,R1),
R = [X|R1].
insere1(R,X,[X|R]).
%10.-----------------------------------------------------------
elimina_rep([],[]).
elimina_rep([X|Y],L):-
elimina_rep(Y,L2),
remove_ocor(L2,X,L1),
inserir_cabeca(L1,X,L).
%11.-----------------------------------------------------------
concat1([],A,A).
concat1([X|Y],L,[X|R]):-
concat1(Y,L,R).
%12.-----------------------------------------------------------
maior([X],X).
maior([X|[Y|Z]],L):-
(X>Y),
maior([X|Z],L).
maior([X|[Y|Z]],L):-
(Y>=X),
maior([Y|Z],L).
%13.-----------------------------------------------------------
menor([X],X).
menor([X|[Y|Z]],L):-
(X<Y),
menor([X|Z],L).
menor([X|[Y|Z]],L):-
(X>=Y),
menor([Y|Z],L).
%14.------------------------------------------------------------
posicao(1,[X|_],X).
posicao(N,[_|Y],R):-
N1 is N-1,
posicao(N1,Y,R).
ex14([],_,[]).
ex14([X|Y],[Z|W],R):-
ex14(Y,[Z|W],R1),
posicao(X,[Z|W],Elem),
insere1(R1,Elem,R).
%15.------------------------------------------------------------
inserir_cabeca(R,X,[X|R]).
%16.------------------------------------------------------------
inseren(X,1,A,[A|X]).
inseren([X|Y],N,A,R):-
N1 is N-1,
inseren(Y,N1,A,R1),
inserir_cabeca(R1,X,R).
%17.-----------------------------------------------------------
inverte([],[]).
inverte([X|Y],R):-
inverte(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),
insere1(R1,X,R).
%19.----------------------------------------------------------
%concat1([],A,A).
%concat1([X|Y],L,[X|R]):-
% concat1(Y,L,R).
aux(_,0,[]).
aux(X,Y,[X|R1]):-
Y1 is Y-1,
Y>0,
aux(X,Y1,R1).
nplica(_,[],[]).
nplica(N,[X|Y],R):-
nplica(N,Y,R2),
aux(X,N,R1),
concat1(R1,R2,R).
%%%% OU %%%%
duplica([],[]).
duplica([X|Y],R):-
duplica(Y,Y1),
X1 is X*2,
R = [X1|Y1].
%20.----------------------------------------------------------
%%dando o elemento
ex20(A,[X|Y],R):-
B is 2*A,
substitui(A,B,[X|Y],R).
%% dando a posição
ex20_2(1,[X|Y],[A|Y]):-
A is 2*X.
ex20_2(N,[X|Y],R):-
N1 is N-1,
ex20_2(N1,Y,R1),
insere1(R1,X,R).
%21.----------------------------------------------------------
nao_vazia([X|Y],[Z|W]):-
not(disjuntos([X|Y],[Z|W])).
%22.----------------------------------------------------------
uniao_completo(A, B, R):-
uni(A, B, R1),
elimina_rep(R1, R).
uni([],L, L).
uni([X|Y], L, R):-
not(pertence(L, X)),
uni(Y, [X|L], R).
uni([X|Y], L, R):-
pertence(L,X),
uni(Y, L, R).
%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.----------------------------------------------------------
igual([X],[X]):-
!.
igual([X|Y],[X|Z]):-
igual(Y,Z).