第十五周项目1 验证算法（1)插入排序之直接插入排序

用序列{57, 40, 38, 11, 13, 34, 48, 75, 6, 19, 9, 7}作为测试数据，运行并本周视频中所讲过的算法对应 程序，观察运行结果并深刻领会算法的思路和实现方法：

1.直接插入排序

#include <stdio.h>
#define MaxSize 20
typedef int KeyType;    //定义关键字类型
typedef char InfoType[10];
typedef struct          //记录类型
{
KeyType key;        //关键字项
InfoType data;      //其他数据项,类型为InfoType
} RecType;              //排序的记录类型定义

void InsertSort(RecType R[],int n) //对R[0..n-1]按递增有序进行直接插入排序
{
int i,j;
RecType tmp;
for (i=1; i<n; i++)
{
tmp=R[i];
j=i-1;            //从右向左在有序区R[0..i-1]中找R[i]的插入位置
while (j>=0 && tmp.key<R[j].key)
{
R[j+1]=R[j]; //将关键字大于R[i].key的记录后移
j--;
}
R[j+1]=tmp;      //在j+1处插入R[i]
}
}

int main()
{
int i,n=10;
RecType R[MaxSize];
KeyType a[]= {9,8,7,6,5,4,3,2,1,0};
for (i=0; i<n; i++)
R[i].key=a[i];
printf("排序前:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
InsertSort(R,n);
printf("排序后:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
return 0;
}

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2.显示直接插入排序过程

#include <stdio.h>
#define MaxSize 20
typedef int KeyType;    //定义关键字类型
typedef char InfoType[10];
typedef struct          //记录类型
{
KeyType key;        //关键字项
InfoType data;      //其他数据项,类型为InfoType
} RecType;              //排序的记录类型定义

void InsertSort(RecType R[],int n) //对R[0..n-1]按递增有序进行直接插入排序
{
int i,j,k;
RecType tmp;
for (i=1; i<n; i++)
{
tmp=R[i];
j=i-1;            //从右向左在有序区R[0..i-1]中找R[i]的插入位置
while (j>=0 && tmp.key<R[j].key)
{
R[j+1]=R[j]; //将关键字大于R[i].key的记录后移
j--;
}
R[j+1]=tmp;      //在j+1处插入R[i]
printf("i=%d: ",i);
for (k=0; k<n; k++)
printf("%d ",R[k].key);
printf("\n");
}
}

int main()
{
int i,n=10;
RecType R[MaxSize];
KeyType a[]= {9,8,7,6,5,4,3,2,1,0};
for (i=0; i<n; i++)
R[i].key=a[i];
printf("排序前:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
InsertSort(R,n);
printf("排序后:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
return 0;
}

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3.折半插入排序

#include <stdio.h>
#define MaxSize 20
typedef int KeyType;    //定义关键字类型
typedef char InfoType[10];
typedef struct          //记录类型
{
KeyType key;        //关键字项
InfoType data;      //其他数据项,类型为InfoType
} RecType;              //排序的记录类型定义

void InsertSort1(RecType R[],int n) //对R[0..n-1]按递增有序进行直接插入排序
{
int i,j,low,high,mid;
RecType tmp;
for (i=1; i<n; i++)
{
tmp=R[i];
low=0;
high=i-1;
while (low<=high)
{
mid=(low+high)/2;
if (tmp.key<R[mid].key)
high=mid-1;
else
low=mid+1;
}
for (j=i-1; j>=high+1; j--)
R[j+1]=R[j];
R[high+1]=tmp;
}
}
int main()
{
int i,n=10;
RecType R[MaxSize];
KeyType a[]= {9,8,7,6,5,4,3,2,1,0};
for (i=0; i<n; i++)
R[i].key=a[i];
printf("排序前:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
InsertSort1(R,n);
printf("排序后:");
for (i=0; i<n; i++)
printf("%d ",R[i].key);
printf("\n");
return 0;
}