23. 合并K个升序链表

题目

给你一个链表数组,每个链表都已经按升序排列。

请你将所有链表合并到一个升序链表中,返回合并后的链表。

示例 1:

1
2
3
4
5
6
7
8
9
10
输入:lists = [[1,4,5],[1,3,4],[2,6]]
输出:[1,1,2,3,4,4,5,6]
解释:链表数组如下:
[
1->4->5,
1->3->4,
2->6
]
将它们合并到一个有序链表中得到。
1->1->2->3->4->4->5->6

示例 2:

1
2
输入:lists = []
输出:[]

示例 3:

1
2
输入:lists = [[]]
输出:[]

提示:

k == lists.length
0 <= k <= 10^4
0 <= lists[i].length <= 500
-10^4 <= lists[i][j] <= 10^4
lists[i] 按 升序 排列
lists[i].length 的总和不超过 10^4

思路

分治的思想,我们每次两个两个合并,然后在两个两个合并

实现

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
private static class Solution {
public ListNode mergeKLists(ListNode[] lists) {
return merge(lists, 0, lists.length - 1);
}

private ListNode merge(ListNode[] lists, int left, int right) {
if (left == right) {
return lists[left];
}
if (left > right) {
return null;
}
int mid = (left + right) / 2;
return mergeTwolist(merge(lists, left, mid), merge(lists, mid + 1, right));
}

private ListNode mergeTwolist(ListNode node1, ListNode node2) {
ListNode preHead = new ListNode(-1);
ListNode head = preHead;

while (node1 != null && node2 != null) {
if (node1.val <= node2.val) {
head.next = node1;
node1 = node1.next;
} else {
head.next = node2;
node2 = node2.next;
}
head = head.next;
}
head.next = node1 == null ? node2 : node1;

return preHead.next;
}
}