Answers for "heap implementation"

heap in java

In Java PriorityQueue can be used as a Heap.

Min Heap
PriorityQueue<Integer> minHeap = new PriorityQueue<>();


Max Heap:
PriorityQueue<Integer> maxHeap = new PriorityQueue<>(Comparator.reverseOrder());

heaps in java

public class BinaryHeap {
     
    private static final int d= 2;
    private int[] heap;
    private int heapSize;
     
    /**
     * This will initialize our heap with default size. 
     */
    public BinaryHeap(int capacity){
        heapSize = 0;
        heap = new int[ capacity+1];
        Arrays.fill(heap, -1);
         
    }
     
    /**
     *  This will check if the heap is empty or not
     *  Complexity: O(1)
     */
    public boolean isEmpty(){
        return heapSize==0;
    }
     
    /**
     *  This will check if the heap is full or not
     *  Complexity: O(1)
     */
    public boolean isFull(){
        return heapSize == heap.length;
    }
     
     
    private int parent(int i){
        return (i-1)/d;
    }
     
    private int kthChild(int i,int k){
        return d*i  +k;
    }
     
    /**
     *  This will insert new element in to heap
     *  Complexity: O(log N)
     *  As worst case scenario, we need to traverse till the root
     */
    public void insert(int x){
        if(isFull())
            throw new NoSuchElementException("Heap is full, No space to insert new element");
        heap[heapSize++] = x;
        heapifyUp(heapSize-1);
    }
     
    /**
     *  This will delete element at index x
     *  Complexity: O(log N)
     * 
     */
    public int delete(int x){
        if(isEmpty())
            throw new NoSuchElementException("Heap is empty, No element to delete");
        int key = heap[x];
        heap[x] = heap[heapSize -1];
        heapSize--;
        heapifyDown(x);
        return key;
    }
 
    /**
     *  This method used to maintain the heap property while inserting an element.
     *  
     */
    private void heapifyUp(int i) {
        int temp = heap[i];
        while(i>0 && temp > heap[parent(i)]){
            heap[i] = heap[parent(i)];
            i = parent(i);
        }
        heap[i] = temp;
    }
     
    /**
     *  This method used to maintain the heap property while deleting an element.
     *  
     */
    private void heapifyDown(int i){
        int child;
        int temp = heap[i];
        while(kthChild(i, 1) < heapSize){
            child = maxChild(i);
            if(temp < heap[child]){ heap[i] = heap[child]; }else break; i = child; } heap[i] = temp; } private int maxChild(int i) { int leftChild = kthChild(i, 1); int rightChild = kthChild(i, 2); return heap[leftChild]>heap[rightChild]?leftChild:rightChild;
    }
     
    /**
     *  This method used to print all element of the heap
     *  
     */
    public void printHeap()
        {
            System.out.print("nHeap = ");
            for (int i = 0; i < heapSize; i++)
                System.out.print(heap[i] +" ");
            System.out.println();
        }
    /**
     *  This method returns the max element of the heap.
     *  complexity: O(1)
     */
     public int findMax(){
         if(isEmpty())
             throw new NoSuchElementException("Heap is empty.");
         return heap[0];
     }
      
     public static void main(String[] args){
         BinaryHeap maxHeap = new BinaryHeap(10);
         maxHeap.insert(10);
         maxHeap.insert(4);
         maxHeap.insert(9);
         maxHeap.insert(1);
         maxHeap.insert(7);
         maxHeap.insert(5);
         maxHeap.insert(3);
          
         maxHeap.printHeap();
         maxHeap.delete(5);
         maxHeap.printHeap();
          
     }
}

heapsort

Implementation of heap sort in C++:

#include <bits/stdc++.h>
using namespace std;

// To heapify a subtree rooted with node i which is
// Heapify:- A process which helps regaining heap properties in tree after removal 
void heapify(int A[], int n, int i)
{
   int largest = i; // Initialize largest as root
   int left_child = 2 * i + 1; // left = 2*i + 1
   int right_child = 2 * i + 2; // right = 2*i + 2

   // If left child is larger than root
   if (left_child < n && A[left_child] > A[largest])
       largest = left_child;

   // If right child is larger than largest so far
   if (right_child < n && A[right_child] > A[largest])
       largest = right_child;

   // If largest is not root
   if (largest != i) {
       swap(A[i], A[largest]);

       // Recursively heapify the affected sub-tree
       heapify(A, n, largest);
   }
}

// main function to do heap sort
void heap_sort(int A[], int n)
{
   // Build heap (rearrange array)
   for (int i = n / 2 - 1; i >= 0; i--)
       heapify(A, n, i);

   // One by one extract an element from heap
   for (int i = n - 1; i >= 0; i--) {
       // Move current root to end
       swap(A[0], A[i]);

       // call max heapify on the reduced heap
       heapify(A, i, 0);
   }
}

/* A  function to print sorted Array */
void printArray(int A[], int n)
{
   for (int i = 0; i < n; ++i)
       cout << A[i] << " ";
   cout << "\n";
}

// Driver program
int main()
{
   int A[] = { 22, 19, 3, 25, 26, 7 }; // array to be sorted
   int n = sizeof(A) / sizeof(A[0]); // n is size of array

   heap_sort(A, n);

   cout << "Sorted array is \n";
   printArray(A, n);
}

heapsort

#include <iostream>

using namespace std;
void swap(int*,int*);
void heapify(int arr[],int n,int index)
{
    int left=2*index+1;
    int right=left+1;
    int max=index;
    if(left<n&&arr[left]>arr[max])
    {
        max=left;
    }
    if(right<n&&arr[right]>arr[max])
    {
        max=right;
    }
    if(index!=max)
    {
        swap(&arr[index],&arr[max]);
        heapify(arr,n,max);
    }
}
void buildheap(int arr[],int n)
{
    for(int i=(n/2);i>=0;i--)
    {
        heapify(arr,n,i);
    }
}

void heapsort(int arr[],int n)
{
    buildheap(arr,n);
    int l=n-1;
    while(l>0)
    {
        swap(&arr[0],&arr[l]);
        l--;
        n--;
        heapify(arr,n,0);
    }
}
void disp(int arr[],int n)
{
    for(int i=0;i<n;i++)
    {
        cout<<arr[i]<<" ";
    }
    cout<<endl;
}

int main()
{
    int n;
    cout<<"enter the size of the array:"<<endl;
    cin>>n;
    int a[n];

    cout<<"enter the elements of the array:"<<endl;
    for(int i=0;i<n;i++)
    {
        cin>>a[i];
    }
    cout<<"array before sorting:"<<endl;
    for(int i=0;i<n;i++)
    {
        cout<<a[i]<<" ";
    }
    cout<<endl;
    //buildheap(a,n);
    //disp(a,n);
    cout<<"array after sorting:"<<endl;
    heapsort(a,n);
    disp(a,n);
    return 0;
}
void swap(int*a,int*b)
{
    int temp=*a;
    *a=*b;
    *b=temp;
}