A Binary Heap is a complete binary tree which is either Min Heap or Max Heap. In a Max Binary Heap, the key at root must be maximum among all keys present in Binary Heap. This property must be recursively true for all nodes in Binary Tree. Min Binary Heap is similar to MinHeap.
For max_heap:
Begin Declare function max_heap () Declare j, t of the integer datatype. Initialize t = a[m]. j = 2 * m; while (j <= n) do if (j < n && a[j+1] > a[j]) then j = j + 1 if (t > a[j]) then break else if (t <= a[j]) then a[j / 2] = a[j] j = 2 * j a[j/2] = t return End.
For build_maxheap:
Begin Declare function build_maxheap(int *a,int n). Declare k of the integer datatype. for(k = n/2; k >= 1; k--) Call function max_heap(a,k,n) End.
#include <iostream> using namespace std; void max_heap(int *a, int m, int n) { int j, t; t = a[m]; j = 2 * m; while (j <= n) { if (j < n && a[j+1] > a[j]) j = j + 1; if (t > a[j]) break; else if (t <= a[j]) { a[j / 2] = a[j]; j = 2 * j; } } a[j/2] = t; return; } void build_maxheap(int *a,int n) { int k; for(k = n/2; k >= 1; k--) { max_heap(a,k,n); } } int main() { int n, i; cout<<"enter no of elements of array\n"; cin>>n; int a[30]; for (i = 1; i <= n; i++) { cout<<"enter elements"<<" "<<(i)<<endl; cin>>a[i]; } build_maxheap(a,n); cout<<"Max Heap\n"; for (i = 1; i <= n; i++) { cout<<a[i]<<endl; } }
enter no of elements of array 5 enter elements 1 7 enter elements 2 6 enter elements 3 2 enter elements 4 1 enter elements 5 4 Max Heap 7 6 2 1 4