如何用代码实现这个回溯算法?
时间: 2024-09-22 07:09:42 浏览: 41
用Python编写一个简单的回溯算法来解决这个问题,我们首先需要创建一个函数来表示火车的状态,并在递归过程中生成所有可能的调度序列。这里是一个基本的例子:
```python
def train_schedule(n, trains, current_schedule=[]):
# Base case: if all trains have been scheduled, return the result
if len(current_schedule) == n:
print("Solution:", current_schedule)
return
# Try to add each train to the current schedule
for i in range(1, n + 1):
# Check if the train is already in the current schedule or if it can be added
if i not in current_schedule and (i == 1 or trains[i - 1] == ''):
# Add the train to the current schedule and move to the next one
current_schedule.append(i)
train_schedule(n, trains, current_schedule) # Recursive call
# Backtrack by removing the last added train
current_schedule.pop()
# Test the function with the example of 4 trains
trains = ['', '', '', '']
train_schedule(4, trains)
```
在这个例子中,`trains`列表代表火车到达的先后顺序,空字符串''表示尚未处理的火车。`current_schedule`变量存储当前的调度状态。函数会递归地尝试将每个火车添加到调度中,然后在每个递归层级结束后回溯。
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