题解 | #迷宫问题#
迷宫问题
https://www.nowcoder.com/practice/cf24906056f4488c9ddb132f317e03bc
迷宫只有一条通道,可以使用DFS,栈内元素正好为所走的路径,也是最短路径。
若迷宫不只一条通道,使用DFS走通的路径不一定是最短路径,最好采用BFS。
def DFS(start, end):
stk = []
stk.append(start)
maze[0][0] = 2 # 走过标记为2
while stk:
if stk[-1] == end: # 栈内元素为所走的路径
for i in stk:
print(f"({i[0]},{i[1]})")
break
r, c = stk[-1]
neighbors = [(r - 1, c), (r, c + 1), (r + 1, c), (r, c - 1)] # (r,c)的邻居
for neighbor in neighbors:
nr, nc = neighbor
if 0 <= nr < N and 0 <= nc < M: # 有效邻居
if maze[nr][nc] == 0:
stk.append((nr, nc))
maze[nr][nc] = 2 # 走过标记为2
break
else: # 无路可走,回退
stk.pop()
N, M = map(int, input().split())
maze = [list(map(int, input().split())) for _ in range(N)]
start = (0, 0)
end = (N - 1, M - 1)
DFS(start, end)
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