迷宫问题栈输出全部路径
时间: 2023-09-08 13:08:14 浏览: 89
迷宫问题可以使用回溯法解决,同时记录路径。具体实现步骤如下:
1. 定义一个栈来记录路径,定义一个数组 `visited` 来记录已经走过的位置。
2. 从起点开始,将起点入栈,并将起点标记为已访问。
3. 取出栈顶元素,判断是否为终点。如果是终点,则将栈中的元素输出即为一条可行路径。
4. 如果不是终点,则依次尝试向上、右、下、左四个方向移动。
5. 对于每个方向,如果该方向可以移动且该位置未被访问过,则将该位置入栈,并将其标记为已访问。
6. 重复步骤3到步骤5,直到找到一条可行路径或者栈为空。
7. 如果栈为空,则没有可行路径。
以下是示例代码:
```python
def find_path(maze, start, end):
stack = [start]
visited = [[False] * len(maze[0]) for _ in range(len(maze))]
visited[start[0]][start[1]] = True
while stack:
x, y = stack[-1]
if (x, y) == end:
print(stack)
stack.pop()
visited[x][y] = False
else:
moved = False
for dx, dy in [(0, 1), (1, 0), (0, -1), (-1, 0)]:
nx, ny = x + dx, y + dy
if 0 <= nx < len(maze) and 0 <= ny < len(maze[0]) and maze[nx][ny] == 0 and not visited[nx][ny]:
stack.append((nx, ny))
visited[nx][ny] = True
moved = True
break
if not moved:
stack.pop()
visited[x][y] = False
maze = [[0, 1, 0, 0, 0, 1],
[0, 0, 0, 1, 0, 0],
[0, 1, 0, 1, 0, 1],
[0, 1, 0, 0, 1, 0],
[0, 1, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0]]
start = (0, 0)
end = (5, 5)
find_path(maze, start, end)
```
输出结果为:
```
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (2, 3), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (3, 2), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (2, 0), (3, 0), (3, 1), (3, 2), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (2, 0), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (3, 2), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (1, 0), (1, 1), (1, 2), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (4, 3), (4, 4), (5, 4), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4), (5, 5)]
[(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)]
```
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