判断一个单链表是否带环,并求出环的长度,及环的入口点

单链表是否带环?

用快慢指针分别遍历这个单链表,如果快慢指针能相遇,就代表有环的存在。

环的长度?

当快慢指针相遇时,记录当前位置,然后走一圈的长度就是环的长度。

环的入口点?

设快指针F走两个结点,慢指针S走一个结点。

F=2*S;                 //快指针是慢指针走的两倍

S=L1+a;           //慢指针相遇时走的长度

F=L1+n*L2+a;    //快指针相遇时走的长度

通过前三个式子得:n*L2=L1+a        即    L1=(n-1)L2+(L2-a)

                                     环外的链表长度=环长度的整数倍+(环长度-快慢指针相遇点到入口点的距离)

int HasListCircle(pList* pHead)//有环?
{
	assert(pHead != NULL);
	pList phead = *pHead;
	while (phead->next != NULL)
	{
		phead = phead->next;
	}
	phead->next = *pHead;//建环
	pList fast = *pHead;
	pList slow = *pHead;
	while (fast&&slow)
	{
		fast = fast->next->next;
		slow = slow->next;
		if (slow == fast)//快慢指针相遇
			return 1;
	}
	return 0;
}
// 求环的长度 
int GetCircleLen(pList* pHead)
{
	assert(pHead != NULL);
	int count = 0;
	pList phead = *pHead;
	
	pList cur = NULL;
	while (phead->next != NULL)
	{
		phead = phead->next;
	}
	phead->next = *pHead;//建环
	pList fast = *pHead;
	pList slow = *pHead;
	while (fast&&slow)
	{
		fast = fast->next->next;
		slow = slow->next;
		if (slow == fast)
		{
			cur = slow;//快慢指针相遇,标记相遇点
			break;
		}
	}
	while (cur->next != slow)
	{
		cur = cur->next;
		count++;
	}
	return count + 1;
}

int CircleEnter(pList* pHead)//环的入口
{
	assert(pHead);
	int count = 0;
	pList pre = *pHead;
	pList cur = *pHead;
	pList cur1 = *pHead;
	pList fast = *pHead;
	pList slow = *pHead;
	while (cur->next != NULL)
	{
		cur = cur->next;
	}
	while (cur1->data != cur->data / 2)
	{
		cur1 = cur1->next;
	}
	cur->next = cur1;//创建一个带环的链表,并且环外也有链表,
	while (fast&&slow)
	{
		fast = fast->next->next;
		slow = slow->next;
		if (slow == fast)
		{
			cur = slow;//找到相遇点,并且标记
			break;
		}
	}
	while (pre != cur)
	{
		pre = pre->next;//从头开始走
		cur = cur->next;//从相遇点开始走
	}
	return cur->data;//当相遇得时候,就是入口点
}

    

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转载自blog.csdn.net/oldwang1999/article/details/82425525