python实现输出八皇后的第n个解
时间: 2024-04-21 11:23:15 浏览: 123
八皇后python解法
你可以使用回溯算法来解决八皇后问题。下面是一个示例的 Python 代码,用于输出八皇后问题的第 n 个解:
```python
def solve_n_queens(n, row=0, positions=[], solutions=[]):
if row == n:
solutions.append(positions[:])
return
for col in range(n):
if is_valid(row, col, positions):
positions.append(col)
solve_n_queens(n, row + 1, positions, solutions)
positions.pop()
def is_valid(row, col, positions):
for i in range(row):
if positions[i] == col or \
positions[i] - i == col - row or \
positions[i] + i == col + row:
return False
return True
def print_solution(n, solution):
for row in range(n):
line = ""
for col in range(n):
if solution[row] == col:
line += "Q "
else:
line += ". "
print(line)
print()
n = 8 # 八皇后问题的棋盘大小
k = 5 # 要输出的第 k 个解
solutions = []
solve_n_queens(n, solutions=solutions)
if k <= len(solutions):
print(f"The {k}th solution of {n}-queens problem:")
print_solution(n, solutions[k - 1])
else:
print(f"There are only {len(solutions)} solutions for {n}-queens problem.")
```
你可以将 `n` 设置为 8,`k` 设置为你想要输出的解的编号。请注意,该代码会输出所有的解,所以如果你想要输出的解超出了实际解的数量,它会给出一个相应的提示。
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