https://leetcode.com/problems/sort-list/
给定一个链表,给链表排序,用nlogn的时间复杂度,并且使用O(1)的空间
思路
经典题目,nlogn的时间复杂度的排序算法——快排,归并排序,堆排序。快排的基本思路是需要进行元素的对调。针对这种链表的排序,天然优势用归并排序
先找到链表的中点,然后对左边部分递归排序,然后怼右边部分递归排序,然后把左边的有序结果和右边的有序结果合并
public ListNode sortList2(ListNode head){
if(head == null || head.next == null){
return head;
}
ListNode slow = head,fast = head;
while(fast.next != null && fast.next.next != null){
slow = slow.next;
fast = fast.next.next;
}
ListNode firsthalf = head;
ListNode secondhalf = slow.next;
slow.next = null;
// if(firsthalf != secondhalf){
firsthalf = sortList2(firsthalf);
secondhalf = sortList2(secondhalf);
// }
return mergeTwoLists(firsthalf,secondhalf);
}
public ListNode mergeTwoLists(ListNode l1, ListNode l2) {
ListNode res = new ListNode(-1);
ListNode head = new ListNode(-1);
head = res;
while (l1 != null && l2 != null) {
int vv = l1.val >= l2.val ? l2.val : l1.val;
ListNode tmp = new ListNode(vv);
if (l1.val >= l2.val) {
l2 = l2.next;
} else {
l1 = l1.next;
}
res.next = tmp;
res = res.next;
}
if (l1 != null) {
res.next = l1;
}
if (l2 != null) {
res.next = l2;
}
return head.next;
}
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