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Algorithm

23. Merge k Sorted Lists

Description

You are given an array of k linked-lists lists, each linked-list is sorted in ascending order.

Merge all the linked-lists into one sorted linked-list and return it.

Example 1:

Input: lists = [[1,4,5],[1,3,4],[2,6]]
Output: [1,1,2,3,4,4,5,6]
Explanation: The linked-lists are:
[
  1->4->5,
  1->3->4,
  2->6
]
merging them into one sorted list:
1->1->2->3->4->4->5->6

Example 2:

Input: lists = []
Output: []

Example 3:

Input: lists = [[]]
Output: []

Constraints:

  • k == lists.length
  • 0 <= k <= 10^4
  • 0 <= lists[i].length <= 500
  • -10^4 <= lists[i][j] <= 10^4
  • lists[i] is sorted in ascending order.
  • The sum of lists[i].length won't exceed 10^4.

Solution

/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) { val = x; }
 * }
 */
class Solution {
    public ListNode mergeKLists(ListNode[] lists) {
        return partition(lists,0,lists.length-1);
    }
    public ListNode partition(ListNode[] lists, int s ,int e){
        if(s==e){
            return lists[s];
        }
        if(s<e){
            int q = (s+e)/2;
            ListNode l1 = partition(lists, s ,q);
            ListNode l2 = partition(lists, q+1, e);
            return merge(l1,l2);
        }else{
            return null;
        }
    }
    public static ListNode merge(ListNode l1, ListNode l2){
        if(l1==null) return l2;
        if(l2==null) return l1;
        if(l1.val<l2.val){
            l1.next = merge(l1.next,l2);
            return l1;
        }else{
            l2.next = merge(l1,l2.next);
            return l2;
        }
    }
}

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使用二分法,否则会超时

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