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March 24, 2023 22:18
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A Prolog solver for the Zebra puzzle a.k.a. Einstein's riddle
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% A Prolog solver for the Zebra puzzle a.k.a. Einstein's riddle. | |
% https://en.wikipedia.org/wiki/Zebra_Puzzle | |
einstein :- | |
einstein(Solution), | |
write_sol(Solution). | |
einstein(Sol) :- | |
Sol = [ | |
[1,N1,C1,P1,D1,S1], % There are five houses. | |
[2,N2,C2,P2,D2,S2], | |
[3,N3,C3,P3,D3,S3], | |
[4,N4,C4,P4,D4,S4], | |
[5,N5,C5,P5,D5,S5]], | |
member([_,englishman,red,_,_,_],Sol), % The Englishman lives in the red house. | |
member([_,spaniard,_,dog,_,_],Sol), % The Spaniard owns the dog. | |
member([_,_,green,_,coffee,_],Sol), % Coffee is drunk in the green house. | |
member([_,ukrainian,_,_,tea,_],Sol), % The Ukrainian drinks tea. | |
member([GH,_,green,_,_,_],Sol), % The green house is immediately to the right of the ivory house. | |
member([IH,_,ivory,_,_,_],Sol), | |
GH =:= IH + 1, | |
member([_,_,_,snails,_,old_gold],Sol), % The Old Gold smoker owns snails. | |
member([_,_,yellow,_,_,kools],Sol), % Kools are smoked in the yellow house. | |
member([3,_,_,_,milk,_],Sol), % Milk is drunk in the middle house. | |
member([1,norwegian,_,_,_,_],Sol), % The Norwegian lives in the first house. | |
member([BH,_,_,_,_,chesterfields],Sol), % The man who smokes Chesterfields lives in the house next to the man with the fox. | |
member([CH,_,_,fox,_,_],Sol), | |
next_to(BH,CH), | |
member([DH,_,_,_,_,kools],Sol), % Kools are smoked in the house next to the house where the horse is kept. | |
member([HH,_,_,horse,_,_],Sol), | |
next_to(DH,HH), | |
member([_,_,_,_,orange_juice,lucky_strike],Sol), % The Lucky Strike smoker drinks organge juice. | |
member([_,japanese,_,_,_,parliaments],Sol), % The Japanese smokes Parliaments | |
member([NH,norwegian,_,_,_,_],Sol), % The Norwegian lives next to the blue house. | |
member([BlH,_,blue,_,_,_],Sol), | |
next_to(NH,BlH), | |
permutation([englishman,spaniard,ukrainian,japanese,norwegian],[N1,N2,N3,N4,N5]), | |
permutation([green,ivory,yellow,blue,red],[C1,C2,C3,C4,C5]), | |
permutation([dog,snails,fox,horse,zebra],[P1,P2,P3,P4,P5]), | |
permutation([coffee,tea,milk,orange_juice,water],[D1,D2,D3,D4,D5]), | |
permutation([old_gold,kools,chesterfields,lucky_strike,parliaments],[S1,S2,S3,S4,S5]). | |
next_to(A,B) :- A =:= B - 1. | |
next_to(A,B) :- A =:= B + 1. | |
write_sol(Solution) :- | |
write('+--+------------+------------+------------+-------------+--------------+'),nl, | |
maplist(writef('|%2L|%12L|%12L|%12L|%13L|%14L|\n'),Solution), | |
write('+--+------------+------------+------------+-------------+--------------+'),nl. |
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