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Diffstat (limited to 'sample/unary_numbers/GCM2023/hanoi19.in')
| -rw-r--r-- | sample/unary_numbers/GCM2023/hanoi19.in | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/sample/unary_numbers/GCM2023/hanoi19.in b/sample/unary_numbers/GCM2023/hanoi19.in new file mode 100644 index 0000000..66bc4ab --- /dev/null +++ b/sample/unary_numbers/GCM2023/hanoi19.in @@ -0,0 +1,52 @@ +// Tower of Hanoi Puzzle + +// Rules +hanoi(return, source, target, aux) >< Z => + // Erase the source, target and aux + source ~ Eraser, + target ~ Eraser, + aux ~ Eraser, + + // result + return~[]; + +hanoi(return, source, target, aux) >< S(n) => + // Duplicate the source, target and aux + source ~ Dup(src1, Dup(src2, src3)), + target ~ Dup(tgt1, Dup(tgt2, tgt3)), + aux ~ Dup(aux1, aux2), + + + // recursive applications + n ~ Dup(nn1, Dup(nn2, nn3)), + hanoi(ret1, src1, aux1, tgt1)~nn1, + hanoi(ret2, aux2, tgt2, src2)~nn2, + + // result + append(return, ((nn3,src3,tgt3)):ret2)~ret1; + + +// --------------------------------------- +// append +// --------------------------------------- +append(r,a) >< [] => r~a; +append(r,a) >< x:xs => r~x:w, append(w,a)~xs; + + +// --------------------------------------- +// len +// --------------------------------------- +len(ret) >< [] => ret~Z; +len(ret) >< x:xs => len_(ret, S(Z))~xs, Eraser~x; +len_(ret, n) >< [] => ret~n; +len_(ret, n) >< x:xs => len_(ret, S(n))~xs, Eraser~x; + + + +// Net +hanoi(result, A, C, B) ~ +//1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 + S(S(S(S(S(S(S(S(S(S(S(S(S(S(S(S(S(S(S(Z))))))))))))))))))), + +len(r)~result; +prnat r; |
