Java Program to Implement Heap’s Algorithm for Permutation of N Numbers

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This is a java program to find permutation of N numbers using Heap’s Algorithm. Heap’s algorithm is an algorithm used for generating all possible permutations of some given length.

Here is the source code of the Java Program to Implement Heap’s Algorithm for Permutation of N Numbers. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

  1.  
  2. package com.sanfoundry.combinatorial;
  3.  
  4. import java.util.Arrays;
  5. import java.util.Scanner;
  6.  
  7. public class HeapsPermutation
  8. {
  9.     private static void swap(int[] v, int i, int j)
  10.     {
  11.         int t = v[i];
  12.         v[i] = v[j];
  13.         v[j] = t;
  14.     }
  15.  
  16.     public void permute(int[] v, int n)
  17.     {
  18.         if (n == 1)
  19.         {
  20.             System.out.println(Arrays.toString(v));
  21.         }
  22.         else
  23.         {
  24.             for (int i = 0; i < n; i++)
  25.             {
  26.                 permute(v, n - 1);
  27.                 if (n % 2 == 1)
  28.                 {
  29.                     swap(v, 0, n - 1);
  30.                 }
  31.                 else
  32.                 {
  33.                     swap(v, i, n - 1);
  34.                 }
  35.             }
  36.         }
  37.     }
  38.  
  39.     public static void main(String[] args)
  40.     {
  41.         System.out.println("Enter the number of elements in a sequence: ");
  42.         Scanner sc = new Scanner(System.in);
  43.         int n = sc.nextInt();
  44.         System.out.println("Enter the sequence: ");
  45.         int sequence[] = new int[n];
  46.         for (int i = 0; i < n; i++)
  47.         {
  48.             sequence[i] = sc.nextInt();
  49.         }
  50.         new HeapsPermutation().permute(sequence, n);
  51.         sc.close();
  52.     }
  53. }

Output:

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$ javac HeapsPermutation.java
$ java HeapsPermutation
 
Enter the number of elements in a sequence: 
5
Enter the sequence: 
2 4 7 3 8
[2, 4, 7, 3, 8]
[4, 2, 7, 3, 8]
[7, 2, 4, 3, 8]
[2, 7, 4, 3, 8]
[4, 7, 2, 3, 8]
[7, 4, 2, 3, 8]
[3, 4, 7, 2, 8]
[4, 3, 7, 2, 8]
[7, 3, 4, 2, 8]
[3, 7, 4, 2, 8]
[4, 7, 3, 2, 8]
[7, 4, 3, 2, 8]
[3, 2, 7, 4, 8]
[2, 3, 7, 4, 8]
[7, 3, 2, 4, 8]
[3, 7, 2, 4, 8]
[2, 7, 3, 4, 8]
[7, 2, 3, 4, 8]
[3, 2, 4, 7, 8]
[2, 3, 4, 7, 8]
[4, 3, 2, 7, 8]
[3, 4, 2, 7, 8]
[2, 4, 3, 7, 8]
[4, 2, 3, 7, 8]
[8, 2, 4, 7, 3]
[2, 8, 4, 7, 3]
[4, 8, 2, 7, 3]
[8, 4, 2, 7, 3]
[2, 4, 8, 7, 3]
[4, 2, 8, 7, 3]
[7, 2, 4, 8, 3]
[2, 7, 4, 8, 3]
[4, 7, 2, 8, 3]
[7, 4, 2, 8, 3]
[2, 4, 7, 8, 3]
[4, 2, 7, 8, 3]
[7, 8, 4, 2, 3]
[8, 7, 4, 2, 3]
[4, 7, 8, 2, 3]
[7, 4, 8, 2, 3]
[8, 4, 7, 2, 3]
[4, 8, 7, 2, 3]
[7, 8, 2, 4, 3]
[8, 7, 2, 4, 3]
[2, 7, 8, 4, 3]
[7, 2, 8, 4, 3]
[8, 2, 7, 4, 3]
[2, 8, 7, 4, 3]
[3, 8, 2, 4, 7]
[8, 3, 2, 4, 7]
[2, 3, 8, 4, 7]
[3, 2, 8, 4, 7]
[8, 2, 3, 4, 7]
[2, 8, 3, 4, 7]
[4, 8, 2, 3, 7]
[8, 4, 2, 3, 7]
[2, 4, 8, 3, 7]
[4, 2, 8, 3, 7]
[8, 2, 4, 3, 7]
[2, 8, 4, 3, 7]
[4, 3, 2, 8, 7]
[3, 4, 2, 8, 7]
[2, 4, 3, 8, 7]
[4, 2, 3, 8, 7]
[3, 2, 4, 8, 7]
[2, 3, 4, 8, 7]
[4, 3, 8, 2, 7]
[3, 4, 8, 2, 7]
[8, 4, 3, 2, 7]
[4, 8, 3, 2, 7]
[3, 8, 4, 2, 7]
[8, 3, 4, 2, 7]
[7, 3, 8, 2, 4]
[3, 7, 8, 2, 4]
[8, 7, 3, 2, 4]
[7, 8, 3, 2, 4]
[3, 8, 7, 2, 4]
[8, 3, 7, 2, 4]
[2, 3, 8, 7, 4]
[3, 2, 8, 7, 4]
[8, 2, 3, 7, 4]
[2, 8, 3, 7, 4]
[3, 8, 2, 7, 4]
[8, 3, 2, 7, 4]
[2, 7, 8, 3, 4]
[7, 2, 8, 3, 4]
[8, 2, 7, 3, 4]
[2, 8, 7, 3, 4]
[7, 8, 2, 3, 4]
[8, 7, 2, 3, 4]
[2, 7, 3, 8, 4]
[7, 2, 3, 8, 4]
[3, 2, 7, 8, 4]
[2, 3, 7, 8, 4]
[7, 3, 2, 8, 4]
[3, 7, 2, 8, 4]
[4, 7, 3, 8, 2]
[7, 4, 3, 8, 2]
[3, 4, 7, 8, 2]
[4, 3, 7, 8, 2]
[7, 3, 4, 8, 2]
[3, 7, 4, 8, 2]
[8, 7, 3, 4, 2]
[7, 8, 3, 4, 2]
[3, 8, 7, 4, 2]
[8, 3, 7, 4, 2]
[7, 3, 8, 4, 2]
[3, 7, 8, 4, 2]
[8, 4, 3, 7, 2]
[4, 8, 3, 7, 2]
[3, 8, 4, 7, 2]
[8, 3, 4, 7, 2]
[4, 3, 8, 7, 2]
[3, 4, 8, 7, 2]
[8, 4, 7, 3, 2]
[4, 8, 7, 3, 2]
[7, 8, 4, 3, 2]
[8, 7, 4, 3, 2]
[4, 7, 8, 3, 2]
[7, 4, 8, 3, 2]

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter