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/*This is a java program to generate and print all possible subsets using the method of Binary Counting method. The generations of subsets are done using binary numbers. Let there be 3 elements in the set, we generate binary equivalent of 2^3 = 8 numbers(0-7), where each bit in a number represents the presence/absence of element in the subset. The element is present if bit is 1, absent otherwise. 010 – only second element is present in the subset.*/
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//This is a java program to generate all subsets of given set of numbers using binary counting method
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import java.util.Random;
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import java.util.Scanner;
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public class Binary_Counting_Subsets
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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.println("\nThe permutations are: ");
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for (int i = 0; i < Math.pow(2, N); 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.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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78 35 5 10 15
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The permutations are:
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{ }
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{ 78 }
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{ 35 }
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{ 78 35 }
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{ 5 }
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{ 78 5 }
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{ 35 5 }
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{ 78 35 5 }
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{ 10 }
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{ 78 10 }
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{ 35 10 }
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{ 78 35 10 }
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{ 5 10 }
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{ 78 5 10 }
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{ 35 5 10 }
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{ 78 35 5 10 }
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{ 15 }
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{ 78 15 }
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{ 35 15 }
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{ 78 35 15 }
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{ 5 15 }
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{ 78 5 15 }
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{ 35 5 15 }
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{ 78 35 5 15 }
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{ 10 15 }
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{ 78 10 15 }
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{ 35 10 15 }
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{ 78 35 10 15 }
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{ 5 10 15 }
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{ 78 5 10 15 }
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{ 35 5 10 15 }
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{ 78 35 5 10 15 } |