LeetCode148：Sort List

题目：

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

解题思路：

根据题目要求，可知只能用归并排序，其他排序算法要么时间复杂度不满足，要么空间复杂度不满足

实现代码：

#include <iostream>

using namespace std;
/*
Sort a linked list in O(n log n) time using constant space complexity.
*/
/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode(int x) : val(x), next(NULL) {}
 * };
 */
struct ListNode
{
    int val;
    ListNode *next;
    ListNode(int x):val(x), next(NULL)
    {

    }

    
};

void addNode(ListNode* &head, int val)
{
    ListNode *newNode = new ListNode(val);
    if(head == NULL)
    {
        head = newNode;
    }
    else
    {
        newNode->next = head;
        head = newNode;
    }
}

void PrintList(ListNode *root)
{
    ListNode *head = root;
    while(head != NULL)
    {
        cout<<head->val<<"\t";
        head = head->next;
    }
    cout<<endl;
}

class Solution {
public:
    ListNode *sortList(ListNode *head) {
           if(head == NULL || head->next == NULL)
           return head;
        ListNode *quick = head;
        ListNode *slow = head;
        while(quick->next && quick->next->next)//通过两个指针，一个走两步、一个走一步，获得链表的中间节点 
        {
            slow = slow->next;
            quick = quick->next->next;            
        }
        quick = slow;
        slow = slow->next;
        quick->next = NULL;//将链表的前半段进行截断 
        ListNode *head1 = sortList(head);
        ListNode *head2 = sortList(slow);
        return merge(head1, head2);
    }
    
    //归并两个有序链表 
    ListNode *merge(ListNode *head1, ListNode *head2)
    {
        if(head1 == NULL)
            return head2;
        if(head2 == NULL)
            return head1;
        ListNode *newHead = NULL;
        if(head1->val < head2->val)
        {
            newHead = head1;
            head1 = head1->next;
            
        }
        else
        {
            newHead = head2;
            head2 = head2->next;    
        }
        ListNode *p = newHead;
        while(head1 && head2)
        {
            if(head1->val < head2->val)
            {
                p->next = head1;
                head1 = head1->next;
            }
            else
            {
                p->next = head2;
                head2 = head2->next;
            }
            p = p->next;
        }
        if(head1)
            p->next = head1;
        if(head2)
            p->next = head2;
        return newHead;
    }
};

int main(void)
{
    ListNode *head = new ListNode(5);
    addNode(head, 3);
    addNode(head, 10);
    addNode(head, 15);
    PrintList(head);
    
    Solution solution;
    head = solution.sortList(head);
    PrintList(head);
    
    return 0;
}