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概述

#使用Python装饰器解决八皇后问题

def conflict(state, nextX):
nextY = len(state)
for i in range(nextY):
if nextX == state[i] or abs(nextX - state[i]) == abs(nextY - i):
return True
return False
def queens(num, state=()):
if len(state) == num - 1:
for pos in range(num):
if not conflict(state, pos):
yield (pos,)
else:
for pos in range(num):
if not conflict(state, pos):
for result in queens(num,
state + (pos,)):
yield (pos,) + result
if __name__ == '__main__':
# print(list(queens(4, (1, 3, 0))))
for solve in queens(8):
print(solve)

结果:

(0, 4, 7, 5, 2, 6, 1, 3)
(0, 5, 7, 2, 6, 3, 1, 4)
(0, 6, 3, 5, 7, 1, 4, 2)
(0, 6, 4, 7, 1, 3, 5, 2)
(1, 3, 5, 7, 2, 0, 6, 4)
(1, 4, 6, 0, 2, 7, 5, 3)
(1, 4, 6, 3, 0, 7, 5, 2)
(1, 5, 0, 6, 3, 7, 2, 4)
(1, 5, 7, 2, 0, 3, 6, 4)
(1, 6, 2, 5, 7, 4, 0, 3)
(1, 6, 4, 7, 0, 3, 5, 2)
(1, 7, 5, 0, 2, 4, 6, 3)
(2, 0, 6, 4, 7, 1, 3, 5)
(2, 4, 1, 7, 0, 6, 3, 5)
(2, 4, 1, 7, 5, 3, 6, 0)
(2, 4, 6, 0, 3, 1, 7, 5)
(2, 4, 7, 3, 0, 6, 1, 5)
(2, 5, 1, 4, 7, 0, 6, 3)
(2, 5, 1, 6, 0, 3, 7, 4)
(2, 5, 1, 6, 4, 0, 7, 3)
(2, 5, 3, 0, 7, 4, 6, 1)
(2, 5, 3, 1, 7, 4, 6, 0)
(2, 5, 7, 0, 3, 6, 4, 1)
(2, 5, 7, 0, 4, 6, 1, 3)
(2, 5, 7, 1, 3, 0, 6, 4)
(2, 6, 1, 7, 4, 0, 3, 5)
(2, 6, 1, 7, 5, 3, 0, 4)
(2, 7, 3, 6, 0, 5, 1, 4)
(3, 0, 4, 7, 1, 6, 2, 5)
(3, 0, 4, 7, 5, 2, 6, 1)
(3, 1, 4, 7, 5, 0, 2, 6)
(3, 1, 6, 2, 5, 7, 0, 4)
(3, 1, 6, 2, 5, 7, 4, 0)
(3, 1, 6, 4, 0, 7, 5, 2)
(3, 1, 7, 4, 6, 0, 2, 5)
(3, 1, 7, 5, 0, 2, 4, 6)
(3, 5, 0, 4, 1, 7, 2, 6)
(3, 5, 7, 1, 6, 0, 2, 4)
(3, 5, 7, 2, 0, 6, 4, 1)
(3, 6, 0, 7, 4, 1, 5, 2)
(3, 6, 2, 7, 1, 4, 0, 5)
(3, 6, 4, 1, 5, 0, 2, 7)
(3, 6, 4, 2, 0, 5, 7, 1)
(3, 7, 0, 2, 5, 1, 6, 4)
(3, 7, 0, 4, 6, 1, 5, 2)
(3, 7, 4, 2, 0, 6, 1, 5)
(4, 0, 3, 5, 7, 1, 6, 2)
(4, 0, 7, 3, 1, 6, 2, 5)
(4, 0, 7, 5, 2, 6, 1, 3)
(4, 1, 3, 5, 7, 2, 0, 6)
(4, 1, 3, 6, 2, 7, 5, 0)
(4, 1, 5, 0, 6, 3, 7, 2)
(4, 1, 7, 0, 3, 6, 2, 5)
(4, 2, 0, 5, 7, 1, 3, 6)
(4, 2, 0, 6, 1, 7, 5, 3)
(4, 2, 7, 3, 6, 0, 5, 1)
(4, 6, 0, 2, 7, 5, 3, 1)
(4, 6, 0, 3, 1, 7, 5, 2)
(4, 6, 1, 3, 7, 0, 2, 5)
(4, 6, 1, 5, 2, 0, 3, 7)
(4, 6, 1, 5, 2, 0, 7, 3)
(4, 6, 3, 0, 2, 7, 5, 1)
(4, 7, 3, 0, 2, 5, 1, 6)
(4, 7, 3, 0, 6, 1, 5, 2)
(5, 0, 4, 1, 7, 2, 6, 3)
(5, 1, 6, 0, 2, 4, 7, 3)
(5, 1, 6, 0, 3, 7, 4, 2)
(5, 2, 0, 6, 4, 7, 1, 3)
(5, 2, 0, 7, 3, 1, 6, 4)
(5, 2, 0, 7, 4, 1, 3, 6)
(5, 2, 4, 6, 0, 3, 1, 7)
(5, 2, 4, 7, 0, 3, 1, 6)
(5, 2, 6, 1, 3, 7, 0, 4)
(5, 2, 6, 1, 7, 4, 0, 3)
(5, 2, 6, 3, 0, 7, 1, 4)
(5, 3, 0, 4, 7, 1, 6, 2)
(5, 3, 1, 7, 4, 6, 0, 2)
(5, 3, 6, 0, 2, 4, 1, 7)
(5, 3, 6, 0, 7, 1, 4, 2)
(5, 7, 1, 3, 0, 6, 4, 2)
(6, 0, 2, 7, 5, 3, 1, 4)
(6, 1, 3, 0, 7, 4, 2, 5)
(6, 1, 5, 2, 0, 3, 7, 4)
(6, 2, 0, 5, 7, 4, 1, 3)
(6, 2, 7, 1, 4, 0, 5, 3)
(6, 3, 1, 4, 7, 0, 2, 5)
(6, 3, 1, 7, 5, 0, 2, 4)
(6, 4, 2, 0, 5, 7, 1, 3)
(7, 1, 3, 0, 6, 4, 2, 5)
(7, 1, 4, 2, 0, 6, 3, 5)
(7, 2, 0, 5, 1, 4, 6, 3)
(7, 3, 0, 2, 5, 1, 6, 4)

最后

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