请帮我写一下人狼羊菜过河问题的代码
时间: 2023-08-28 10:09:20 浏览: 114
好的,以下是人狼羊菜过河问题的 Python 代码:
```python
def is_safe(state):
# 判断当前状态是否安全
if state[0] != state[1] and state[0] == state[2]:
# 羊被狼吃了
return False
if state[1] != state[2] and state[1] == state[3]:
# 菜被羊吃了
return False
return True
def is_goal(state):
# 判断是否达到目标状态
return state == (1, 1, 1, 1)
def get_next_states(state):
# 获取下一步所有可能的状态
next_states = []
for i in range(4):
# 考虑将第 i 个元素从对岸带到此岸
if state[i] == state[0]:
# 人和物品在同一岸上才能带
new_state = list(state)
new_state[i] = 1 - new_state[i]
if is_safe(new_state):
next_states.append(tuple(new_state))
return next_states
def dfs(state, visited):
# 深度优先搜索
visited.add(state)
if is_goal(state):
return [state]
for next_state in get_next_states(state):
if next_state not in visited:
path = dfs(next_state, visited)
if path:
return [state] + path
return None
def solve():
# 解决问题
initial_state = (0, 0, 0, 0)
visited = set()
path = dfs(initial_state, visited)
if path:
print('成功通过河流!')
for state in path:
print(state)
else:
print('无解')
# 测试
solve()
```
程序中,`is_safe` 函数用于判断当前状态是否安全,`is_goal` 函数用于判断是否达到目标状态,`get_next_states` 函数用于获取下一步所有可能的状态,`dfs` 函数用于进行深度优先搜索,`solve` 函数用于解决问题。程序中使用集合 `visited` 用于记录已经访问过的状态,避免重复搜索。
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