题目来源:
https://leetcode.com/problems/linked-list-cycle-ii/
题意分析:
给定一个链表,如果链表有环,返回环的起始位置,否则返回NULL。要求常量空间复杂度。
题目思路:
首先可以用快慢指针链表是否有环。假设链表头部到环起点的距离为n,环的长度为m,快指针每次走两步,慢指针每次走一步,快慢指针在走了慢指针走t步后相遇,那么相遇的位置是(t - n) % m + n=(2*t - n)%m + n,那么得到t%m = 0,所以头部和相遇的位置一起走n步会重新相遇。那么,头部和相遇点再次走,知道相遇得到的点就为起点。
代码(python):
# Definition for singly-linked list.
# class ListNode(object):
# def __init__(self, x):
# self.val = x
# self.next = None class Solution(object):
def detectCycle(self, head):
"""
:type head: ListNode
:rtype: ListNode
"""
if head == None or head.next == None:
return None
slow = fast = head
while fast and fast.next:
slow = slow.next
fast = fast.next.next
if slow == fast:
tmp = head
while tmp != fast:
tmp,fast = tmp.next,fast.next
return tmp
return None