96 lines
3.0 KiB
Java
96 lines
3.0 KiB
Java
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//This is a java program to generate all pair of subsets whose union results the original set
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import java.util.Random;
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import java.util.Scanner;
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public class Pair_Subset_Union_Set
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{
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public static int[] binary(int N)
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{
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int[] binary = new int[(int) Math.pow(2, N)];
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for (int i = 0; i < Math.pow(2, N); i++)
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{
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int b = 1;
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binary[i] = 0;
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int num = i;
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while (num > 0)
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{
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binary[i] += (num % 2) * b;
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num /= 2;
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b = b * 10;
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}
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}
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return binary;
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}
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public static void main(String args[])
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{
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Random random = new Random();
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Scanner sc = new Scanner(System.in);
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System.out.println("Enter the number of elements in the set: ");
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int N = sc.nextInt();
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int[] sequence = new int[N];
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for (int i = 0; i < N; i++)
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sequence[i] = Math.abs(random.nextInt(100));
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System.out.println("The elements in the set : ");
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for (int i = 0; i < N; i++)
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System.out.print(sequence[i] + " ");
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int[] mask = new int[(int) Math.pow(2, N)];
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mask = binary(N);
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System.out
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.println("\nThe pair of permutations whose union is original set are: ");
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for (int i = 0; i < (Math.pow(2, N) / 2); i++)
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{
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System.out.print("{ ");
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for (int j = 0; j < N; j++)
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{
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if (mask[i] % 10 == 1)
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System.out.print(sequence[j] + " ");
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mask[i] /= 10;
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}
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System.out.print("} and ");
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System.out.print("{ ");
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for (int j = 0; j < N; j++)
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{
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if (mask[(int) Math.pow(2, N) - 1 - i] % 10 == 1)
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System.out.print(sequence[j] + " ");
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mask[(int) Math.pow(2, N) - 1 - i] /= 10;
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}
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System.out.println("}");
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}
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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 the set:
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5
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The elements in the set :
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3 47 97 79 8
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The pair of permutations whose union is original set are:
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{ } and { 3 47 97 79 8 }
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{ 3 } and { 47 97 79 8 }
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{ 47 } and { 3 97 79 8 }
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{ 3 47 } and { 97 79 8 }
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{ 97 } and { 3 47 79 8 }
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{ 3 97 } and { 47 79 8 }
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{ 47 97 } and { 3 79 8 }
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{ 3 47 97 } and { 79 8 }
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{ 79 } and { 3 47 97 8 }
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{ 3 79 } and { 47 97 8 }
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{ 47 79 } and { 3 97 8 }
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{ 3 47 79 } and { 97 8 }
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{ 97 79 } and { 3 47 8 }
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{ 3 97 79 } and { 47 8 }
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{ 47 97 79 } and { 3 8 }
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{ 3 47 97 79 } and { 8 }
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Enter the number of elements in the set:
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3
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The elements in the set :
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37 76 87
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The pair of permutations whose union is original set are:
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{ } and { 37 76 87 }
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{ 37 } and { 76 87 }
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{ 76 } and { 37 87 }
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{ 37 76 } and { 87 }
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