swap(&arr[i], &arr[largest]);// 交换heapify(arr, n, largest);// 递归调整子堆} }// 主函数:堆排序voidheapSort(intarr[],intn){// 构建最大堆for(inti = n /2-1; i >=0; i--) heapify(arr, n, i);// 提取元素并重新调整堆for(inti = n -1; i >=0; i--) { swap(&arr[...
堆排序(Heapsort)是指利用堆这种数据结构所设计的一种排序算法。堆积是一个近似完全二叉树的结构,并同时满足堆积的性质:即子结点的键值或索引总是小于(或者大于)它的父节点。堆排序可以说是一种利用堆的概念来排序的选择排序。分为两种方法: 大顶堆:每个节点的值都大于或等于其子节点的值,在堆排序算法中用于升序...
heap_sort_asc(a, n)的作用是:对数组a进行升序排序;其中,a是数组,n是数组长度。 heap_sort_asc(a, n)的操作分为两部分:初始化堆 和 交换数据。 maxheap_down(a, start, end)是最大堆的向下调整算法。 下面演示heap_sort_asc(a, n)对a={20,30,90,40,70,110,60,10,100,50,80}, n=11进行堆...
C 语言实现堆排序 (Heap Sort) 堆排序是一种基于「堆」这一数据结构的排序算法。堆是一种近似完全二叉树的结构,分为大顶堆和小顶堆这两种。 大顶堆:子节点的值总是小于其父节点的值。 小顶堆:子节点的值总是大于其父节点的值。 如果使用大顶堆的话,最后的排序结果会是升序;如果采用小顶堆的话,最后的...
堆排序(Heapsort)是指利用堆这种数据结构所设计的一种排序算法。堆积是一个近似完全二叉树的结构,并同时满足堆积的性质:即子结点的键值或索引总是小于(或者大于)它的父节点。算法描述 将初始待排序关键字序列(R1,R2….Rn)构建成大顶堆,此堆为初始的无序区; ...
You might take some time to think about how you could implement a heap sort without using any additional memory. Summary Heap sort is a relatively simple algorithm built upon the heap data structure. A naive implementation requires additional space, but it is possible to do a heap sort in ...
C C++ # Heap Sort in python def heapify(arr, n, i): # Find largest among root and children largest = i l = 2 * i + 1 r = 2 * i + 2 if l < n and arr[i] < arr[l]: largest = l if r < n and arr[largest] < arr[r]: largest = r # If root is not largest, ...
5. Max Heap Sort VariantsWrite a C program to sort numbers using the MAX heap algorithm.Note: A sorting algorithm that works by first organizing the data to be sorted into a special type of binary tree called a heap.Sample Solution:
C++ program for heap sort is as given below: #include <iostream> using namespace std; void heapify(int arr[], int n, int i) { int largest = i; int l = 2 * i + 1; int r = 2 * i + 2; if (l < n && arr[l] > arr[largest]) ...
// CPP program to illustrate// std::sort_heap#include<iostream>#include<algorithm>#include<vector>usingnamespacestd;intmain(){vector<int> v = {8,6,2,1,5,10}; make_heap(v.begin(), v.end());cout<<"heap: ";for(constauto&i:v) {cout<< i <<' '; ...