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find all valid pins for silly rules
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digit(0). | |
digit(1). | |
digit(2). | |
digit(3). | |
digit(4). | |
digit(5). | |
digit(6). | |
digit(7). | |
digit(8). | |
digit(9). | |
isDigits([]). | |
isDigits([H|T]) :- | |
digit(H), | |
isDigits(T). | |
consecutive([A|[A|_]]). | |
consecutive([_|T]) :- consecutive(T). | |
increasing([A,B]) :- B > A. | |
increasing([A|[B|T]]) :- | |
B > A, | |
increasing([B|T]). | |
decreasing([A,B]) :- B < A. | |
decreasing([A|[B|T]]) :- | |
B < A, | |
decreasing([B|T]). | |
allSame([A,A]). | |
allSame([A|[A|T]]) :- allSame([A|T]). | |
numDiff(A,B,C) :- C is abs(B - A). | |
diff([],[]). | |
diff([_],[]). | |
diff([A,B],L) :- | |
numDiff(A,B,D), | |
L = [D]. | |
diff([A|[B|T]],L) :- | |
diff([B|T],TD), | |
numDiff(A,B,D), | |
L = [D|TD]. | |
linear(L) :- decreasing(L),!. | |
linear(L) :- increasing(L). | |
invalid([H|T]) :- consecutive([H|T]). | |
invalid([H|T]) :- linear([H|T]). | |
invalid([H|T]) :- | |
diff([H|T], Diffs), | |
allSame(Diffs). | |
pin(L,[H|T]) :- | |
length([H|T],L), | |
digit(H), | |
H > 1, | |
isDigits([H|T]), | |
not(invalid([H|T])). | |
countValid(L,Count) :- | |
aggregate_all(count,pin(L,P),Count). | |
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