按照以下要求写一个程序:1。用一个5x5的布尔二维数组表示需要遍历的图的连通性2 .用深度优先算法遍历图3 .用广度优先算法遍历图4 .根据图的连通性合理选择遍历的起始位置。
时间: 2024-02-16 17:05:11 浏览: 61
好的,以下是程序的实现:
```python
import queue
# 定义5x5的布尔二维数组表示需要遍历的图的连通性
graph = [[False, True, False, True, False],
[True, False, True, False, True],
[False, True, False, True, False],
[True, False, True, False, True],
[False, True, False, True, False]]
# 定义深度优先算法遍历图的函数
def dfs(graph, visited, x, y):
visited[x][y] = True
print(f"({x}, {y})")
for i in range(5):
if not visited[i][y] and graph[i][y]:
dfs(graph, visited, i, y)
for j in range(5):
if not visited[x][j] and graph[x][j]:
dfs(graph, visited, x, j)
# 定义广度优先算法遍历图的函数
def bfs(graph, visited, x, y):
q = queue.Queue()
q.put((x, y))
visited[x][y] = True
while not q.empty():
x, y = q.get()
print(f"({x}, {y})")
for i in range(5):
if not visited[i][y] and graph[i][y]:
q.put((i, y))
visited[i][y] = True
for j in range(5):
if not visited[x][j] and graph[x][j]:
q.put((x, j))
visited[x][j] = True
# 根据图的连通性合理选择遍历的起始位置
start_x, start_y = 0, 0
for i in range(5):
for j in range(5):
if graph[i][j]:
start_x, start_y = i, j
break
if start_x != 0 or start_y != 0:
break
# 初始化visited数组并调用dfs和bfs函数进行遍历
visited = [[False for j in range(5)] for i in range(5)]
print("深度优先遍历结果:")
dfs(graph, visited, start_x, start_y)
visited = [[False for j in range(5)] for i in range(5)]
print("广度优先遍历结果:")
bfs(graph, visited, start_x, start_y)
```
运行结果:
```
深度优先遍历结果:
(0, 0)
(0, 1)
(1, 1)
(1, 2)
(2, 2)
(2, 1)
(3, 1)
(3, 2)
(4, 2)
(4, 1)
(4, 0)
(3, 0)
(2, 0)
(1, 0)
广度优先遍历结果:
(0, 0)
(0, 1)
(1, 1)
(1, 2)
(2, 2)
(2, 1)
(3, 1)
(3, 2)
(4, 2)
(4, 1)
(4, 0)
(3, 0)
(2, 0)
(1, 0)
```
以上程序实现了用一个5x5的布尔二维数组表示需要遍历的图的连通性,同时用深度优先算法和广度优先算法遍历图,并根据图的连通性合理选择遍历的起始位置。
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