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要实现归并排序递归方法:
第一步:先将原来的数据表分成排好序的子表,然后调用合并函数对子表进行归并,使之成为有序表
例如有如下向量:
⑴ ⑵ ⑶ ⑷ ⑸ ⑹ ⑺ ⑻ ⑼ ⑽ ⑾
25, 10, 7, 19, 3, 48, 12, 17, 56, 30, 21
/ 25,10,7,19,3 48,12,17,56,30,21
/ \ / 25,10 7,19,3 48,12,17 56,30,21
/ \ / \ / \ / 25 10 7 19,3 ... ... ... ...
归并算法的划分子表和归并子表与原数据序列次序无关,因此算法的最坏情况,最坏情况和平均情况时间复杂度是一样的
#include <stdio.h>
#include <stdlib.h>
void Merge(int arr[], int beg, int mid, int end)
{
int i = beg;
int j = mid + 1;
int p = 0;
int *ipa;
ipa = (int*)malloc((end-beg+1) * sizeof(int));
if(!ipa) return;
while(i <= mid && j <= end)
{
//ipa[p++] = (arr[i]<=arr[j])?arr[i++]:arr[j++];
if(arr[i] <= arr[j])
{
ipa[p] = arr[i];
p++;
i++;
}
else
{
ipa[p] = arr[j];
p++;
j++;
}
}
while(i<=mid)
{
ipa[p++] = arr[i++];
}
while(j<=end)
{
ipa[p++] = arr[j++];
}
for(p=0, i=beg; i<=end; p++, i++)
{
arr[i] = ipa[p];
}
}
void MergeSort(int arr[], int beg, int end)
{
int mid;
if(beg < end)
{
mid = (beg + end)/2;
MergeSort(arr, beg, mid);
MergeSort(arr, mid+1, end);
Merge(arr, beg, mid, end);
}
}
int main()
{
int a[9] = {7,10,48,25,12,17,21,48,30};
printf("Before Merge Sort:\n");
for(int i=0; i<9; i++)
{
printf("%d ", a[i]);
}
printf("\n");
printf("After Merge Sort:\n");
MergeSort(a, 0, 8);
for(int i=0; i<9; i++)
{
printf("%d ", a[i]);
}
printf("\n");
return 0;
}
参考:http://jillzhang.cnblogs.com/
http://blog.csdn.net/cwj649956781/article/details/7409635
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原文地址:http://www.cnblogs.com/eternal1025/p/4417739.html