Merge k sorted linked lists and return it as one sorted list. Analyze and describe its complexity.

[解题思路]

以前的解法的时间复杂度过高,通过在网上搜索,得到优化的时间复杂度:O(n*lgk)

维护一个大小为k的最小堆,每次得到一个最小值,重复n次

 /**
* Definition for singly-linked list.
* public class ListNode {
* int val;
* ListNode next;
* ListNode(int x) {
* val = x;
* next = null;
* }
* }
*/
public class Solution {
public ListNode mergeKLists(ArrayList<ListNode> lists) {
// Start typing your Java solution below
// DO NOT write main() function
ListNode head = null;
int len = lists.size();
if(len <= 1)
return null;
head = merge2List(lists.get(0), lists.get(1));
for(int i = 2; i < len; i++){
head = merge2List(lists.get(i), head);
}
return head; } public ListNode merge2List(ListNode node1, ListNode node2){
ListNode head = null;
ListNode tmp = head;
while(node1 != null && node2 != null){
if(node1.val <= node2.val){
ListNode node = new ListNode(node1.val);
tmp = node;
tmp = tmp.next;
} else {
ListNode node = new ListNode(node2.val);
tmp = node;
tmp = tmp.next;
}
node1 = node1.next;
node2 = node2.next;
} while(node1 != null){
ListNode node = new ListNode(node1.val);
tmp = node;
tmp = tmp.next;
node1 = node1.next;
} while(node2 != null){
ListNode node = new ListNode(node2.val);
tmp = node;
tmp = tmp.next;
node2 = node2.next;
}
return head; }
}

上一版本有bug,修复如下:

 public class Solution {
public ListNode mergeKLists(ArrayList<ListNode> lists) {
// Start typing your Java solution below
// DO NOT write main() function
ListNode head = null;
int len = lists.size();
if(len == 0)
return null;
else if(len == 1){
return lists.get(0);
}
head = merge2List(lists.get(0), lists.get(1));
for(int i = 2; i < len; i++){
head = merge2List(lists.get(i), head);
}
return head; } public ListNode merge2List(ListNode node1, ListNode node2){
ListNode head = new ListNode(Integer.MIN_VALUE);
ListNode tmp = head;
while(node1 != null && node2 != null){
if(node1.val <= node2.val){
ListNode node = new ListNode(node1.val);
tmp.next = node;
tmp = tmp.next;
node1 = node1.next;
} else {
ListNode node = new ListNode(node2.val);
tmp.next = node;
tmp = tmp.next;
node2 = node2.next;
}
} if(node1 != null){
tmp.next = node1;
} if(node2 != null){
tmp.next = node2;
}
head = head.next;
return head; }
}

http://blog.csdn.net/zyfo2/article/details/8682727

http://tech-wonderland.net/blog/leetcode-merge-k-sorted-lists.html

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