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Linked List Cycle II

Linked List Cycle II

Given a linked list, return the node where the cycle begins. If there is no cycle, return null.

比I麻烦点的就是找到循环开始点TAT

I只是判断是否循环。要求不使用额外空间(不然hash就可以了

按I的思路,我们又慢指针S和快指针F。。。F走两步,S走一步。。。若有环,必定相遇。

假设在红色凸起的地方相遇了。

F走的路程应该是S的两倍

S = x + y

F = x + y + z + y = x + 2y + z

2*S = F

2x+2y = x + 2y + z

得到x = z

 

也就是从head到环开始的路程 = 从相遇到环开始的路程

那么。。。只要S和F相遇了,我们拿一个从头开始走,一个从相遇的地方开始走

两个都走一步,那么再次相遇必定是环的开始节点!

 

C++版本

/** * Definition for singly-linked list. * struct ListNode { *     int val; *     ListNode *next; *     ListNode(int x) : val(x), next(NULL) {} * }; */class Solution {public:    ListNode *detectCycle(ListNode *head) {    if(head == NULL) return NULL;    ListNode* S = head;    ListNode* F = head;      while(F != NULL) {          if(F) F = F->next;          if(F) F = F->next;          if(S) S = S->next;          if(F != NULL && F == S){               S = head;               while(S != F) {                   F = F->next;                   S = S->next;               }        return S;       }      }     return NULL;    }};

  java版本:

/** * Definition for singly-linked list. * class ListNode { *     int val; *     ListNode next; *     ListNode(int x) { *         val = x; *         next = null; *     } * } */public class Solution {    public ListNode detectCycle(ListNode head) {        ListNode slow = head;        ListNode fast = head;        while(true){            if(fast == null || fast.next == null){                return null;            }            slow = slow.next;            fast = fast.next.next;            if(slow == fast)                break;        }        slow = head;        while(slow != fast){            slow = slow.next;            fast = fast.next;        }        return slow;    }}

  

Linked List Cycle II