给出七桥问题的路径的python代码
时间: 2023-06-09 18:05:02 浏览: 308
以下是七桥问题的路径的Python代码:
```python
# 首先定义一个字典表示城市之间的桥梁路径
bridges = {
'1-2': True,
'2-1': True,
'1-3': True,
'3-1': True,
'1-4': True,
'4-1': True,
'2-3': False,
'3-2': False,
'2-4': False,
'4-2': False,
'3-4': True,
'4-3': True,
'3-5': True,
'5-3': True,
'4-5': True,
'5-4': True,
'4-6': False,
'6-4': False,
'5-6': False,
'6-5': False
}
# 定义一个函数,用于检测给定路径是否满足七桥问题
def is_valid_path(path):
for i in range(len(path) - 1):
bridge = str(path[i]) + '-' + str(path[i+1])
if bridge not in bridges or not bridges[bridge]:
return False
return True
# 采用回溯法求解
def dfs(city, path, result):
if len(path) == 9:
if is_valid_path(path):
result.append(path)
return
for next_city in range(1, 7):
if next_city not in path:
bridge = str(city) + '-' + str(next_city)
if bridge in bridges and bridges[bridge]:
dfs(next_city, path + [next_city], result)
# 调用dfs函数求解
result = []
dfs(1, [1], result)
# 输出所有有效路径
print(result)
```
注意,此代码假设有6个城市和9座桥,且每条桥只能经过一次。您可以根据实际情况进行更改。
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