project-euler/090_cube_digit_pairs.py

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2023-03-26 22:59:33 +02:00
#!/usr/bin/env python3
# Enumerate all possible combinations of faces and check if valid
from itertools import combinations
combs = [(0, 1), (0, 4), (0, 6), (1, 6), (1, 8), (2, 5), (3, 6), (4, 6)]
def main():
c = 0
cubes = list(combinations(list(range(7))+list(range(6,9)), 6))
for i,a in enumerate(cubes):
for b in cubes[i+1:]:
c += conds(a, b)
return c
def conds(a, b):
def sym(x, y):
return (x in a and y in b) or (x in b and y in a)
return all(sym(x, y) for x,y in combs)
print(main())