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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(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,ANS):-
N1 is N-1,
pa(N1,I,R,ANS1),
ANS is R+ANS1.
%%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(X,[X|_],1).
n_esimo(X,[_|L],N):-
N>1,
N1 is N-1,
n_esimo(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.--------------------------------------------------------
retirar_ocor(_,[],[]).
retirar_ocor(X,[X|Y],R):-
retirar_ocor(X,Y,R).
retirar_ocor(Z,[X|Y],R):-
X\=Z,
retirar_ocor(Z,Y,R1),
R = [X|R1].
%%10.-----------------------------------------------------------
pertence([X|_],Z):-
Z=X,!.
pertence([_|Y],Z):-
pertence(Y,Z).
retire_repet([],[]). %%%% ta dando pau essa disgraca
retire_repet([X|Y],L1):-
pertence(X,Y),
retire_repet(Y,L1).
%%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.------------------------------------------------------------
%%15.------------------------------------------------------------
inserir_cabeca(R,X,[X|R]).
%%16.------------------------------------------------------------
%%17.-----------------------------------------------------------
inverte([],[]).
inverte([X|Y],R):-
inverte(Y,R1),
append(R1,[X],R).
%%18.----------------------------------------------------------
%%19.----------------------------------------------------------
concat1([],A,A).
concat1([X|Y],L,[X|R]):-
concat1(Y,L,R).
nplica(_,[],[]).
nplica(N,[X|Y],R):-
nplica(N,Y,R2),
aux(X,N,R1),
concat1(R1,R2,R).
%%20.----------------------------------------------------------
%%21.----------------------------------------------------------
nao_vazia([X|Y],[Z|W]):-
not(disjuntos([X|Y],[Z|W])).
%%22.----------------------------------------------------------
%%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).