Sort a linked list in O(n log n) time using constant space complexity.
看到O(n log n)的排序算法,适合单链表的首先想到的就是归并排序
达到这个复杂度的排序算法,对于单链表来说,最合适的就是
<pre name="code" class="cpp">#include <iostream>
#include <vector>
using namespace std;
/*
对于链表的排序 使用归并排序最合适
*/
typedef struct list_node List;
struct list_node
{
struct list_node* next;
int value;
};
void print_list(List* list)
{
List* tmp=list;
while(tmp != NULL)
{
cout<<tmp->value<<endl;
tmp = tmp->next;
}
}
/*
初始化List 将从1~n的数字插入到链表中
*/
void Init_List(List*& head,int* array,int n)
{
head = NULL;
List* tmp;
List* record;
for(int i=1;i<=n;i++)
{
tmp = new List;
tmp->next = NULL;
tmp->value = array[i-1];
if(head == NULL)
{
head = tmp;
record = head;
}
else
{
record->next = tmp;
record = tmp;
}
}
}
int Len_list(List* list)
{
if(list == NULL)
return 0;
else
return Len_list(list->next)+1;
}
/*
对于平常的merge操作 采用的分治方法 先分开然后再合并
*/
void FindMid(List*& list,List*& pre,List*& last)
{
pre = list;
last = list->next;
while(last != NULL && last->next != NULL)
{
pre = pre->next;
last = last->next;
if(last->next != NULL)
last = last->next;
}
last = pre->next;
pre->next = NULL;
pre = list;
}
void Merge(List*& list,List*& pre,List*& last)
{
if(pre == NULL)
{
list = last;
return ;
}
if(last == NULL)
{
list = pre;
return ;
}
List* cur;
List* tmp;
if(pre->value > last->value)
swap(pre,last);
list = pre;
cur = pre;
while(cur->next != NULL && last != NULL)
{
if(cur->next->value > last->value) //插入元素
{
tmp = last->next;
last->next = cur->next;
cur->next = last;
cur = last;
last = tmp;
}
else
cur = cur->next;
}
if(last != NULL)
cur->next = last;
}
void Merge_sec(List*& list,List*& pre,List*& last)
{
List* tmp = new List;
list = tmp;
while(pre != NULL && last != NULL)
{
if(pre->value < last->value)
{
tmp->next = pre;
pre = pre->next;
}
else
{
tmp->next = last;
last = last->next;
}
tmp = tmp->next;
}
if(last != NULL)
tmp->next = last;
else
tmp->next = pre;
list = list->next;
}
void MergeSort(List*& list)
{
if(list ==NULL || list->next == NULL)
return ;
List* pre=NULL;
List* last=NULL;
FindMid(list,pre,last); //找到中间点 将一个链表list从中间分成pre和last两部分
MergeSort(pre); //归并排序前半部分
MergeSort(last); //归并排序后半部分
Merge(list,pre,last); //将两部分的链表进行合并
}
int main()
{
int array[] ={7,4,9,15,2,1,6,10,12,11};
List* head;
Init_List(head,array,sizeof(array)/sizeof(array[0]));
MergeSort(head);
print_list(head);
return 0;
}原文:http://blog.csdn.net/yusiguyuan/article/details/44596523