Sort List (Medium)

Description

Sort a linked list in O(n log n) time using constant space complexity.

Analysis

对单向链表进行排序,时间复杂度为nlogn,其中快排,堆排序,合并排序都可以达到这个复杂度。而快排不太适合单向链表。我们可以用合并排序来实现。

My Solution

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//C++
/**
* Definition for singly-linked list.
* struct ListNode {
* int val;
* ListNode *next;
* ListNode(int x) : val(x), next(NULL) {}
* };
*/

class Solution
{
public:
ListNode *sortList(ListNode *head)
{

if(head == NULL || head->next == NULL)
return head;
else
{
ListNode *p = head,*mid = head, *tmp=head;
while(tmp->next != NULL && tmp->next->next != NULL)
{
tmp = tmp->next->next;
mid = mid->next;
}
tmp = mid;
mid = mid->next;
tmp->next = NULL;
tmp = sortList(p);
mid = sortList(mid);
return listmerge(tmp,mid);
}
}
ListNode *listmerge(ListNode *head1, ListNode *head2)
{

if(head1 == NULL)
return head2;
if(head2 == NULL)
return head1;
ListNode *head=NULL , *p ;
if(head1->val < head2->val)
{
head = head1;
head1 = head1->next;
}
else
{
head = head2;
head2 = head2->next;
}
p = head;

while(head1 != NULL && head2 != NULL)
{
if(head1->val < head2->val)
{
p->next = head1;
head1 = head1->next;
}
else
{
p->next = head2;
head2 = head2->next;
}
p = p->next;
}
while(head1 != NULL)
{
p->next = head1;
head1 = head1->next;
p = p->next;
}
while(head2 != NULL)
{
p->next = head2;
head2 = head2->next;
p = p->next;
}
p->next = NULL;
return head;
}
};