[LeetCode] Linked List Cycle II
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[LeetCode] Linked List Cycle II
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Given a linked list, return the node where the cycle begins. If there is no cycle, return null.
Follow up:
Can you solve it without using extra space?
解題思路
設(shè)鏈表長(zhǎng)度為n,頭結(jié)點(diǎn)與循環(huán)節(jié)點(diǎn)之間的長(zhǎng)度為k。定義兩個(gè)指針slow和fast,slow每次走一步,fast每次走兩步。當(dāng)兩個(gè)指針相遇時(shí),有:
- fast = slow * 2
- fast - slow = (n - k)的倍數(shù)
由上述兩個(gè)式子能夠得到slow為(n-k)的倍數(shù)
兩個(gè)指針相遇后,slow指針回到頭結(jié)點(diǎn)的位置,fast指針保持在相遇的節(jié)點(diǎn)。此時(shí)它們距離循環(huán)節(jié)點(diǎn)的距離都為k,然后以步長(zhǎng)為1遍歷鏈表,再次相遇點(diǎn)即為循環(huán)節(jié)點(diǎn)的位置。
實(shí)現(xiàn)代碼
/*** Definition for singly-linked list.* struct ListNode {* int val;* ListNode *next;* ListNode(int x) : val(x), next(NULL) {}* };*///Runtime:16 ms class Solution { public:ListNode *detectCycle(ListNode *head) {if (head == NULL){return NULL;}ListNode *slow = head;ListNode *fast = head;while (fast->next && fast->next->next){slow = slow->next;fast = fast->next->next;if (fast == slow){break;}}if (fast->next && fast->next->next){slow = head;while (slow != fast){slow = slow->next;fast = fast->next;}return slow;}return NULL;} };轉(zhuǎn)載于:https://www.cnblogs.com/blfbuaa/p/7049933.html
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