用循环链表解决约瑟夫问题,并实现一个复杂的主程序python
时间: 2024-02-21 09:59:24 浏览: 68
利用循环链表实现约瑟夫问题的求解
好的,我理解了你的问题。以下是用循环链表解决约瑟夫问题的Python代码:
```python
class Node:
def __init__(self, data):
self.data = data
self.next = None
class CircularLinkedList:
def __init__(self):
self.head = None
def add_node(self, data):
new_node = Node(data)
if self.head is None:
self.head = new_node
self.head.next = self.head
else:
current = self.head
while current.next != self.head:
current = current.next
current.next = new_node
new_node.next = self.head
def remove_node(self, node):
if self.head == node:
current = self.head
while current.next != self.head:
current = current.next
current.next = self.head.next
self.head = self.head.next
else:
current = self.head
while current.next != self.head:
if current.next == node:
current.next = node.next
break
current = current.next
def josephus(n, k):
linked_list = CircularLinkedList()
for i in range(1, n+1):
linked_list.add_node(i)
current = linked_list.head
while current.next != current:
count = 1
while count != k:
current = current.next
count += 1
linked_list.remove_node(current)
current = current.next
return current.data
if __name__ == '__main__':
n = 10
k = 3
survivor = josephus(n, k)
print(f"The survivor is {survivor}.")
```
在主程序中,我设置了$n=10$和$k=3$。你也可以根据需要更改这些值。运行程序后,输出将显示最后一个幸存者的编号。
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