用python解决拉斯维加斯算法求n皇后问题
时间: 2024-01-26 08:07:00 浏览: 131
拉斯维加斯算法是一种随机化算法,可以用于求解n皇后问题。下面是用Python实现的代码:
```python
import random
def conflict(state, nextX):
nextY = len(state)
for i in range(nextY):
if abs(state[i] - nextX) in (0, nextY - i):
return True
return False
def queens(num=8, state=()):
for pos in range(num):
if not conflict(state, pos):
if len(state) == num - 1:
return (pos,)
else:
solution = queens(num, state + (pos,))
if solution is not None:
return (pos,) + solution
return None
def las_vegas_queens(num=8):
while True:
board = list(range(num))
random.shuffle(board)
solution = queens(num, tuple(board))
if solution is not None:
return solution
print(las_vegas_queens(8))
```
这段代码中,`conflict`函数用于检查当前位置和之前位置是否有冲突,`queens`函数用于递归求解n皇后问题,`las_vegas_queens`函数则是用拉斯维加斯算法来解决n皇后问题。
阅读全文