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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.*/
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import java.util.Arrays;
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import java.util.Scanner;
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public class HeapsPermutation
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{
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private static void swap(int[] v, int i, int j)
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{
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int t = v[i];
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v[i] = v[j];
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v[j] = t;
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}
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public void permute(int[] v, int n)
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{
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if (n == 1)
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{
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System.out.println(Arrays.toString(v));
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}
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else
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{
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for (int i = 0; i < n; i++)
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{
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permute(v, n - 1);
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if (n % 2 == 1)
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{
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swap(v, 0, n - 1);
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}
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else
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{
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swap(v, i, n - 1);
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}
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}
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}
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}
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public static void main(String[] args)
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{
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System.out.println("Enter the number of elements in a sequence: ");
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Scanner sc = new Scanner(System.in);
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int n = sc.nextInt();
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System.out.println("Enter the sequence: ");
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int sequence[] = new int[n];
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for (int i = 0; i < n; i++)
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{
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sequence[i] = sc.nextInt();
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}
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new HeapsPermutation().permute(sequence, n);
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sc.close();
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}
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}
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/*
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Enter the number of elements in a sequence:
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5
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Enter the sequence:
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2 4 7 3 8
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[2, 4, 7, 3, 8]
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[4, 2, 7, 3, 8]
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[7, 2, 4, 3, 8]
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[2, 7, 4, 3, 8]
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[4, 7, 2, 3, 8]
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[7, 4, 2, 3, 8]
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[3, 4, 7, 2, 8]
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[4, 3, 7, 2, 8]
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[7, 3, 4, 2, 8]
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[3, 7, 4, 2, 8]
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[4, 7, 3, 2, 8]
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[7, 4, 3, 2, 8]
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[3, 2, 7, 4, 8]
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[2, 3, 7, 4, 8]
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[7, 3, 2, 4, 8]
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[3, 7, 2, 4, 8]
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[2, 7, 3, 4, 8]
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[7, 2, 3, 4, 8]
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[3, 2, 4, 7, 8]
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[2, 3, 4, 7, 8]
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[4, 3, 2, 7, 8]
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[3, 4, 2, 7, 8]
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[2, 4, 3, 7, 8]
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[4, 2, 3, 7, 8]
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[8, 2, 4, 7, 3]
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[2, 8, 4, 7, 3]
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[4, 8, 2, 7, 3]
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[8, 4, 2, 7, 3]
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[2, 4, 8, 7, 3]
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[4, 2, 8, 7, 3]
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[7, 2, 4, 8, 3]
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[2, 7, 4, 8, 3]
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[4, 7, 2, 8, 3]
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[7, 4, 2, 8, 3]
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[2, 4, 7, 8, 3]
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[4, 2, 7, 8, 3]
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[7, 8, 4, 2, 3]
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[8, 7, 4, 2, 3]
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[4, 7, 8, 2, 3]
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[7, 4, 8, 2, 3]
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[8, 4, 7, 2, 3]
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[4, 8, 7, 2, 3]
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[7, 8, 2, 4, 3]
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[8, 7, 2, 4, 3]
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[2, 7, 8, 4, 3]
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[7, 2, 8, 4, 3]
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[8, 2, 7, 4, 3]
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[2, 8, 7, 4, 3]
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[3, 8, 2, 4, 7]
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[8, 3, 2, 4, 7]
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[2, 3, 8, 4, 7]
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[3, 2, 8, 4, 7]
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[8, 2, 3, 4, 7]
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[2, 8, 3, 4, 7]
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[4, 8, 2, 3, 7]
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[8, 4, 2, 3, 7]
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[2, 4, 8, 3, 7]
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[4, 2, 8, 3, 7]
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[8, 2, 4, 3, 7]
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[2, 8, 4, 3, 7]
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[4, 3, 2, 8, 7]
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[3, 4, 2, 8, 7]
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[2, 4, 3, 8, 7]
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[4, 2, 3, 8, 7]
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[3, 2, 4, 8, 7]
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[2, 3, 4, 8, 7]
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[4, 3, 8, 2, 7]
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[3, 4, 8, 2, 7]
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[8, 4, 3, 2, 7]
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[4, 8, 3, 2, 7]
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[3, 8, 4, 2, 7]
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[8, 3, 4, 2, 7]
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[7, 3, 8, 2, 4]
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[3, 7, 8, 2, 4]
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[8, 7, 3, 2, 4]
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[7, 8, 3, 2, 4]
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[3, 8, 7, 2, 4]
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[8, 3, 7, 2, 4]
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[2, 3, 8, 7, 4]
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[3, 2, 8, 7, 4]
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[8, 2, 3, 7, 4]
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[2, 8, 3, 7, 4]
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[3, 8, 2, 7, 4]
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[8, 3, 2, 7, 4]
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[2, 7, 8, 3, 4]
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[7, 2, 8, 3, 4]
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[8, 2, 7, 3, 4]
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[2, 8, 7, 3, 4]
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[7, 8, 2, 3, 4]
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[8, 7, 2, 3, 4]
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[2, 7, 3, 8, 4]
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[7, 2, 3, 8, 4]
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[3, 2, 7, 8, 4]
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[2, 3, 7, 8, 4]
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[7, 3, 2, 8, 4]
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[3, 7, 2, 8, 4]
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[4, 7, 3, 8, 2]
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[7, 4, 3, 8, 2]
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[3, 4, 7, 8, 2]
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[4, 3, 7, 8, 2]
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[7, 3, 4, 8, 2]
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[3, 7, 4, 8, 2]
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[8, 7, 3, 4, 2]
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[7, 8, 3, 4, 2]
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[3, 8, 7, 4, 2]
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[8, 3, 7, 4, 2]
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[7, 3, 8, 4, 2]
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[3, 7, 8, 4, 2]
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[8, 4, 3, 7, 2]
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[4, 8, 3, 7, 2]
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[3, 8, 4, 7, 2]
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[8, 3, 4, 7, 2]
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[4, 3, 8, 7, 2]
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[3, 4, 8, 7, 2]
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[8, 4, 7, 3, 2]
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[4, 8, 7, 3, 2]
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[7, 8, 4, 3, 2]
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[8, 7, 4, 3, 2]
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[4, 7, 8, 3, 2]
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[7, 4, 8, 3, 2]
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