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Non-transitive dice: Difference between revisions
→{{header|Python}}: some cleanup; one bug fix to prevent sub loops in longer sequences that's not possible in examples required by task
(→{{header|Python}}: supersede with faster solution) |
(→{{header|Python}}: some cleanup; one bug fix to prevent sub loops in longer sequences that's not possible in examples required by task) |
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=={{header|Python}}==
Trivial rotations of the same loop are not shown
<lang python>from itertools import combinations_with_replacement as cmbr
from time import time
def dice_gen(n, faces, m):
dice = list(cmbr(faces, n))
succ = [set(j for j, b in enumerate(dice)
if
for
def loops(seq):
if
▲ yield seq
for d in (x for x in s if x > seq[0]):▼
yield from loops(seq + (d,), succ[d], depth - 1)▼
yield from (tuple(''.join(dice[s]) for s in x)
for i, v in enumerate(succ)
for x in loops((i,)
t = time()
for n, faces, loop_len in [(4, '1234', 3), (4, '1234', 4), (6, '123456', 3), (6, '1234567', 3)]:
for i, x in enumerate(dice_gen(n, faces, loop_len)): pass
print(f'{n}-sided, markings {faces}, loop length {loop_len}:')
print(f'\t{i + 1}*{loop_len} solutions, e.g. {" > ".join(x)} > [loop]')
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