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combination_sum_i_ii.pl
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%combination sum I
% https://leetcode.com/problems/combination-sum/
permutation_member(X, Xs) :-
permutation(X, Y),
member(Y, Xs).
sumlist(Xs, Y) :- foldl([I,J,K]>>(K is I+J), Xs, 0, Y).
combination_sum_i(_, Target, Acc, Acc) :- sumlist(Acc, Target).
combination_sum_i(Candidates, Target, Acc, Comb) :-
sumlist(Acc, S),
S < Target,
member(C, Candidates),
combination_sum_i(Candidates, Target, [C|Acc], Comb).
combination_sums_i(Candidates, Target, Combs) :- combination_sums_i(Candidates, Target, [], Combs).
combination_sums_i(Candidates, Target, Acc, Combs) :-
combination_sum_i(Candidates, Target, [], C),
\+ permutation_member(C, Acc), !,
combination_sums_i(Candidates, Target, [C|Acc], Combs).
combination_sums_i(_, _, Acc, Acc).
%combination sum II
%https://leetcode.com/problems/combination-sum-ii/
combination_sum_ii(_, Target, Acc, Acc) :- sumlist(Acc, Target).
combination_sum_ii(Candidates, Target, Acc, Comb) :-
Candidates \= [], %tadyto je pridano
sumlist(Acc, S),
S < Target,
select(C, Candidates, RemainingCandidates), %tady je zmena
combination_sum_ii(RemainingCandidates, Target, [C|Acc], Comb). %tady je zmena
combination_sums_ii(Candidates, Target, Combs) :- combination_sums_ii(Candidates, Target, [], Combs).
combination_sums_ii(Candidates, Target, Acc, Combs) :-
combination_sum_ii(Candidates, Target, [], C),
\+ permutation_member(C, Acc), !,
combination_sums_ii(Candidates, Target, [C|Acc], Combs).
combination_sums_ii(_, _, Acc, Acc).