#include <iostream> using namespace std; class MinHeap { private: int heapSize;//堆大小 int *arr;//数组 public: //构造函数 MinHeap(int length)//传入数组初始化大小 { this->heapSize=length; arr=new int[50]; } //求父结点 int parent(int i) { return i/2; } //求左孩子 int left(int i) { return 2*i; } //求右孩子 int right(int i) { return 2*i+1; } //交换函数 void swap(int a,int b) { int temp=arr[a]; arr[a]=arr[b]; arr[b]=temp; } //维持堆性质函数,使用前提为左右子书均为最小堆 void heapIfy(int i,int localHeapSize) { int l=left(i); int r=right(i); int least=i; //找出i,left(i),right(i)的最小值 if(l<=localHeapSize&&arr[least]>arr[l]) { least=l; } if(r<=localHeapSize&&arr[least]>arr[r]) { least=r; } //交换arr[i],arr[largest] if(least!=i) { swap(i,least); heapIfy(least,localHeapSize); } } //初始化堆（建立堆） void buildHeap() { for(int i=heapSize/2;i>=1;i--) { heapIfy(i,heapSize); } } //堆排序算法（前提：堆已初始化） void heapSort() { int localHeapSize=heapSize; for(int i=heapSize;i>=2;i--) { swap(1,i); --localHeapSize; heapIfy(1,localHeapSize); } //倒置数组 int i=1; int j=heapSize; while(i<j) { swap(i,j); ++i; --j; } } //去掉并返回堆中最小的元素（前提：堆已初始化） int extractMin() { if(heapSize>=1) { int min=arr[1]; swap(1,heapSize); --heapSize; heapIfy(1,heapSize); return min; } else { cout<<"堆中没有元素"<<endl; return -1; } } //向堆中插入数据(前提：堆已经初始化) void heapInsert(int key) { ++heapSize; int i=heapSize; while(i>1&&arr[parent(i)]>key) { arr[i]=arr[parent(i)]; i=parent(i); } arr[i]=key; } //输入数组 void input() { int i=1; while(i<=heapSize) { cin>>arr[i]; i++; } } //输出数组 void display() { int i=1; while(i<=heapSize) { cout<<arr[i]<<" "; i++; } cout<<endl; } }; void main() { //测试数据:10,9,8,7,6,5,4,3,2,1 MinHeap test(10);//初始化的堆有10个元素 test.input();//输入数据 test.buildHeap();//初始化堆 test.display();//打印初始化堆 test.heapSort();//堆排序 test.display();//打印排序结果 test.buildHeap();//重新初始化堆 test.heapInsert(8);//将8插入堆中 test.display();//打印插入后结果 test.heapSort();//重新排序 test.display();//打印排序后结果 test.extractMin();//删除最小元素 test.display();//打印删除后结果 test.heapSort();//删除后再次排序 test.display();//输出删除后排序后结果 }#include <iostream> 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