Heap Sort

Heap sort processes the elements by creating the min heap or max heap using the elements of the given array. Min heap or max heap represents the ordering of the array in which root element represents the minimum or maximum element of the array. At each step, the root element of the heap gets deleted and stored into the sorted array and the heap will again be heapified.

The heap sort basically recursively performs two main operations.

Build a heap H, using the elements of ARR.
Repeatedly delete the root element of the heap formed in phase 1.

Complexity

Complexity	Best Case	Average Case	Worst case
Time Complexity	Ω(n log (n))	θ(n log (n))	O(n log (n))
Space Complexity			O(1)

Algorithm

HEAP_SORT(ARR, N)

Step 1: [Build Heap H]
Repeat for i=0 to N-1
CALL INSERT_HEAP(ARR, N, ARR[i])
[END OF LOOP]
Step 2: Repeatedly Delete the root element
Repeat while N > 0
CALL Delete_Heap(ARR,N,VAL)
SET N = N+1
[END OF LOOP]
Step 3: END

C Program

#include<stdio.h>
int temp;

void heapify(int arr[], int size, int i)
{
int largest = i;  
int left = 2*i + 1;  
int right = 2*i + 2;  

if (left < size && arr[left] >arr[largest])
largest = left;

if (right < size && arr[right] > arr[largest])
largest = right;

if (largest != i)
{
temp = arr[i];
	arr[i]= arr[largest]; 
	arr[largest] = temp;
heapify(arr, size, largest);
}
}

void heapSort(int arr[], int size)
{
int i;
for (i = size / 2 - 1; i >= 0; i--)
heapify(arr, size, i);
for (i=size-1; i>=0; i--)
{
temp = arr[0];
	arr[0]= arr[i]; 
	arr[i] = temp;
heapify(arr, i, 0);
}
}

void main()
{
int arr[] = {1, 10, 2, 3, 4, 1, 2, 100,23, 2};
int i;
int size = sizeof(arr)/sizeof(arr[0]);

heapSort(arr, size);

printf("printing sorted elements\n");
for (i=0; i<size; ++i)
printf("%d\n",arr[i]);
}

Output:

printing sorted elements 

1
1
2
2
2
3
4
10
23
100

Java Program

#include<stdio.h>
int temp;

void heapify(int arr[], int size, int i)
{
int largest = i;  
int left = 2*i + 1;  
int right = 2*i + 2;  

if (left < size && arr[left] >arr[largest])
largest = left;

if (right < size && arr[right] > arr[largest])
largest = right;

if (largest != i)
{
temp = arr[i];
	arr[i]= arr[largest]; 
	arr[largest] = temp;
heapify(arr, size, largest);
}
}

void heapSort(int arr[], int size)
{
int i;
for (i = size / 2 - 1; i >= 0; i--)
heapify(arr, size, i);
for (i=size-1; i>=0; i--)
{
temp = arr[0];
	arr[0]= arr[i]; 
	arr[i] = temp;
heapify(arr, i, 0);
}
}

void main()
{
int arr[] = {1, 10, 2, 3, 4, 1, 2, 100, 23, 2};
int i;
int size = sizeof(arr)/sizeof(arr[0]);

heapSort(arr, size);

printf("printing sorted elements\n");
for (i=0; i<size; ++i)
printf("%d\n",arr[i]);
}

Output:

printing sorted elements 

1
1
2
2
2
3
4
10
23
100

C# program

using System;
public class HeapSorting {
static void heapify(int[] arr, int size, int i)
{
int largest = i;  
int left = 2*i + 1;  
int right = 2*i + 2;  
int temp;
if (left < size && arr[left] > arr[largest])
largest = left;

if (right < size && arr[right] > arr[largest])
largest = right;

if (largest != i)
{
temp = arr[i];
	arr[i]= arr[largest]; 
	arr[largest] = temp;
heapify(arr, size, largest);
}
}

static void heapSort(int[] arr, int size)
{
int i;
int temp;
for (i = size / 2 - 1; i >= 0; i--)
heapify(arr, size, i);
for (i=size-1; i>=0; i--)
{
temp = arr[0];
	arr[0]= arr[i]; 
	arr[i] = temp;
heapify(arr, i, 0);
}
}

public void Main()
{
int[] arr = {1, 10, 2, 3, 4, 1, 2, 100, 23, 2};
int i;
heapSort(arr, 10); 
Console.WriteLine("printing sorted elements");
for (i=0; i<10; ++i)
Console.WriteLine(arr[i]);
}
}

Output:

printing sorted elements 

1
1
2
2
2
3
4
10
23
100

Next TopicInsertion Sort

← prev next →

Please Share

Learn Latest Tutorials

Spark

Swift

Pig

Flask

C. Graphics

Preparation

Aptitude

Reasoning

Verbal A.

Interview

B.Tech / MCA

DBMS

DAA

C. Network

Compiler D.

COA

D. Math.

E. Hacking

Web Tech.

Cyber Sec.

Automata

C++

Java

.Net

Python

Programs

Control S.

Javatpoint Services

JavaTpoint offers too many high quality services. Mail us on hr@javatpoint.com, to get more information about given services.

Website Designing
Website Development
Java Development
PHP Development
WordPress
Graphic Designing
Logo
Digital Marketing
On Page and Off Page SEO
PPC
Content Development
Corporate Training
Classroom and Online Training
Data Entry

Training For College Campus

JavaTpoint offers college campus training on Core Java, Advance Java, .Net, Android, Hadoop, PHP, Web Technology and Python. Please mail your requirement at hr@javatpoint.com.
Duration: 1 week to 2 week

^{Like/Subscribe us for latest updates or newsletter}