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 20typedef 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;}
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45

2.显示直接插入排序过程

#include <stdio.h>#define MaxSize 20typedef 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;}
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49

3.折半插入排序

#include <stdio.h>#define MaxSize 20typedef 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;}