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

类似于归并2个链表,暴力一点的方法就是,每取出一个list就与以前的list归并返回merge后list,知道所有list merge完成。

但是可惜,这样做会TLE。贴下代码先:

 /**
* Definition for singly-linked list.
* struct ListNode {
* int val;
* ListNode *next;
* ListNode(int x) : val(x), next(NULL) {}
* };
*/
class Solution {
public:
ListNode* mergeKLists(vector<ListNode*>& lists) {
ListNode * ret = NULL;
for(auto * it : lists){
ret = mergeList(ret, it);
}
return ret;
} ListNode * mergeList(ListNode * head1, ListNode * head2)
{
if(!head1) return head2;
if(!head2) return head1;
ListNode * head = new ListNode(-);
head->next = head1;
ListNode * prev = head;
ListNode * tmpNode = NULL;
while(head1 && head2){
if(head1->val < head2->val){
prev = prev->next;
head1 = head1->next;
}else{
tmpNode = head2->next;
prev->next = head2;
head2->next = head1;
prev = head2;
head2 = tmpNode;
}
}
if(head2){
prev->next = head2;
}
return head->next;
}
};

下面是用堆来做的,先建立一个小堆,找到做小元素。将其merge到一个链表里面。如果后面还有元素,再将其放到堆中。代码如下:

 /**
* Definition for singly-linked list.
* struct ListNode {
* int val;
* ListNode *next;
* ListNode(int x) : val(x), next(NULL) {}
* };
*/
class Solution {
public:
static bool Comp(ListNode * l1, ListNode * l2)
{
if(l1->val < l2->val)
return false;
return true;
} ListNode* mergeKLists(vector<ListNode*>& lists) {
vector<ListNode *> removeNullList;
removeNullList.reserve(lists.size());
for(auto it = lists.begin(); it != lists.end(); ++it){
if(*it != NULL)
removeNullList.push_back(*it);
}
if(removeNullList.size() == ) return NULL; //首先去除Null节点
make_heap(removeNullList.begin(), removeNullList.end(), Comp);
ListNode * helper = new ListNode(-);
ListNode * tail = helper;
ListNode * minNode = NULL;
while(!removeNullList.empty()){
pop_heap(removeNullList.begin(), removeNullList.end(), Comp);
minNode = removeNullList[removeNullList.size()-];
removeNullList.pop_back();
tail->next = minNode;
tail = tail->next;
if(minNode->next){//如果后面还有list的话,再次入堆
removeNullList.push_back(minNode->next);
make_heap(removeNullList.begin(), removeNullList.end(), Comp);
}
}
return helper->next;
}
};

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