45.Sort List（链表排序）

Posted 2022-02-09 yjxyy

Level：

??Medium

题目描述：

Sort a linked list in O(n log n) time using constant space complexity.

Example 1:

Input: 4->2->1->3
Output: 1->2->3->4

Example 2:

Input: -1->5->3->4->0
Output: -1->0->3->4->5

思路分析：

??对链表进行归并排序，时间复杂为O(nlgn)，空间复杂度为O(1)。

代码：

public class Solution
    public ListNode sortList(ListNode head)
        if(head==null||head.next=null)
            return head;
        ListNode slow=head;
        ListNode fast=head;
        while(fast.next!=null&&fast.next.next!=null)
            slow=slow.next;
            fast=fast.next.next;
        
        ListNode right=slow.next;
        slow.next=null;//将左右链表断开
        return merge(sortList(head),sortList(right));
    
    public ListNode merge(ListNode head,ListNode right)
        if(head==null)
            return right;
        if(right==null)
            return head;
        ListNode pHead=new ListNode(0);
        if(head.val<right.val)
            pHead=head;
            pHead.next=merge(head.next,right);
        else
            pHead=right;
            pHead.next=merge(head,right.next);
        
        return pHead;