RosettaCodeData/Task/N-queens-problem/Python/n-queens-problem-6.py

24 lines
581 B
Python

def queens(n: int):
def sub(i: int):
if i < n:
for k in range(i, n):
j = a[k]
if b[i + j] and c[i - j]:
a[i], a[k] = a[k], a[i]
b[i + j] = c[i - j] = False
yield from sub(i + 1)
b[i + j] = c[i - j] = True
a[i], a[k] = a[k], a[i]
else:
yield a
a = list(range(n))
b = [True] * (2 * n - 1)
c = [True] * (2 * n - 1)
yield from sub(0)
sum(1 for solution in queens(8)) # count solutions
92