09-排序3 Insertion or Heap Sort (25分)

According to Wikipedia:

Insertion sort iterates, consuming one input element each repetition, and growing a sorted output list. Each iteration, insertion sort removes one element from the input data, finds the location it belongs within the sorted list, and inserts it there. It repeats until no input elements remain.

Heap sort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element and moving that to the sorted region. it involves the use of a heap data structure rather than a linear-time search to find the maximum.

Now given the initial sequence of integers, together with a sequence which is a result of several iterations of some sorting method, can you tell which sorting method we are using?

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer$N$ ($\le 100$). Then in the next line, $N$ integers are given as the initial sequence. The last line contains the partially sorted sequence of the$N$ numbers. It is assumed that the target sequence is always ascending. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print in the first line either "Insertion Sort" or "Heap Sort" to indicate the method used to obtain the partial result. Then run this method for one more iteration and output in the second line the resuling sequence. It is guaranteed that the answer is unique for each test case. All the numbers in a line must be separated by a space, and there must be no extra space at the end of the line.

Sample Input 1:

103 1 2 8 7 5 9 4 6 01 2 3 7 8 5 9 4 6 0

Sample Output 1:

Insertion Sort1 2 3 5 7 8 9 4 6 0

Sample Input 2:

103 1 2 8 7 5 9 4 6 06 4 5 1 0 3 2 7 8 9

Sample Output 2:

Heap Sort5 4 3 1 0 2 6 7 8 9

解析:每做一次迭代，都判别一下有是否与第二个序列相同，相同就再做一次迭代，然后退出。关键要找出每个排序一次迭代的代码，然后在此基础上修改。相似题：Insert or Merge

#include <stdio.h>#include <stdlib.h>typedef int ElementType;int N, CopyA[105], B[105], IsInsertion = 0;int IsIdentical(int arr[]) {    //判别改变后的数组是否与B数组相同for(int i = 0; i < N; i++)if( arr[i] != B[i] )return 0;return 1;}void Insertion_Sort(int A[]){int Tmp, P, i, flag = 0;for( P = 1; P < N; P++){Tmp = A[P];for( i = P; i > 0 && A[i - 1] > Tmp; i--)//i--别写成i++; 因为是从后往前比较（错误原因）A[i] = A[i - 1];A[i] = Tmp;//如果相同，说明是插入排序，再做一个迭代就退出if( IsIdentical(A) ) {printf("Insertion Sort\n");IsInsertion = 1;//如果不是，就转去判别是否是归并flag = 1;continue;}if(flag) break;//再做一次迭代就退出}}void PercDown( ElementType A[], int p, int N ) {//将N个元素的数组中以A[p]为根的子堆调整为最大堆int Parent, Child;ElementType X;X = A[p];//取出根结点存放的值//(Parent * 2 + 1) < N 检测Parent有没有孩子for( Parent = p; (Parent * 2 + 1) < N; Parent = Child ) {Child = Parent * 2 + 1;if( Child != N - 1 && A[Child] < A[Child + 1] )Child++;//Child指向左右子结点较大者if( X >= A[Child] ) break;else//下滤A[Parent] = A[Child];}A[Parent] = X;}void Swap( int *a, int *b ) {int tmp = *a;*a = *b;*b = tmp;}void Heap_Sort( ElementType A[], int N ) {int i, flag = 0;//建立最大堆，由于下标从0开始，最后一个元素的父结点是 N / 2 - 1for( i = N / 2 - 1; i >= 0; i--)PercDown(A, i, N);//删除堆顶for( i = N - 1; i > 0; i-- ) {Swap(&A[0], &A[i]);PercDown(A, 0, i);//判别if( IsIdentical(CopyA) ) {printf("Heap Sort\n");flag = 1;continue;}if(flag) break;}}int main(){int A[105];scanf("%d", &N);//readfor(int i = 0; i < N; i++) {scanf("%d", &A[i]);CopyA[i] = A[i];}for(int i = 0; i < N; i++)scanf("%d", &B[i]);//judgeInsertion_Sort(A);if(IsInsertion) {printf("%d", A[0]);for(int i = 1; i < N; i++)printf(" %d", A[i]);}else {Heap_Sort(CopyA, N);printf("%d", CopyA[0]);for(int i = 1; i < N; i++)printf(" %d",CopyA[i]);}system("pause");return 0;}