Java Program to Generate All Subsets of a Given Set in the Gray Code Order

This is a java program to generate and print all the subsets using the Gray Code Order. The reflected binary code, also known as Gray code after Frank Gray, is a binary numeral system where two successive values differ in only one bit (binary digit). The gray code equivalent of a binary number is (number >> 1) ^ number, i.e. right-shift the number by one and EX-ORing with the original number.

Here is the source code of the Java Program to Generate All Subsets of a Given Set in the Gray Code Order. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

//This is a java program to generate all subsets of given set of numbers using gray code order

```
import java.util.Random;
```
```
import java.util.Scanner;
```
```
 
```
```
public class Gray_Code_Permutation 
```
```
{
```

    public static int[] grayCode(int N)

```
    {
```

        int[] grayCode = new int[(int) Math.pow(2, N)];

        int[] binary = new int[(int) Math.pow(2, N)];

```
 
```

        for (int i = 0; i < Math.pow(2, N); i++)

```
            grayCode[i] = (i >> 1) ^ i;
```
```
 
```

        for (int i = 0; i < Math.pow(2, N); i++)

```
        {
```
```
            int b = 1;
```
```
            binary[i] = 0;
```
```
            while (grayCode[i] > 0) 
```
```
            {
```

                binary[i] += (grayCode[i] % 2) * b;

```
                grayCode[i] /= 2;
```
```
                b = b * 10;
```
```
            }
```
```
        }
```
```
        return binary;
```
```
    }
```
```
 
```

    public static void main(String args[])

```
    {
```
```
        Random random = new Random();
```

        Scanner sc = new Scanner(System.in);

        System.out.println("Enter the number of elements in the set: ");

```
        int N = sc.nextInt();
```
```
        int[] sequence = new int[N];
```
```
        for (int i = 0; i < N; i++)
```

            sequence[i] = Math.abs(random.nextInt(100));

```
 
```

        System.out.println("The elements in the set : ");

```
        for (int i = 0; i < N; i++)
```

            System.out.print(sequence[i] + " ");

```
 
```

        int[] mask = new int[(int) Math.pow(2, N)];

```
        mask = grayCode(N);
```
```
 
```

        System.out.println("\nThe permutations are: ");

        for (int i = 0; i < Math.pow(2, N); i++)

```
        {
```
```
            System.out.print("{ ");
```

            for (int j = 0; j < N; j++)

```
            {
```
```
                if (mask[i] % 10 == 1)
```

                    System.out.print(sequence[j] + " ");

```
                mask[i] /= 10;
```
```
            }
```
```
            System.out.println("}");
```
```
        }
```
```
        sc.close();
```
```
    }
```
```
}
```

Output:

$ javac Gray_Code_Permutation.java
$ java Gray_Code_Permutation
 
Enter the number of elements in the set: 
4
The elements in the set : 
36 75 15 59 
The permutations are: 
{ }
{ 36 }
{ 36 75 }
{ 75 }
{ 75 15 }
{ 36 75 15 }
{ 36 15 }
{ 15 }
{ 15 59 }
{ 36 15 59 }
{ 36 75 15 59 }
{ 75 15 59 }
{ 75 59 }
{ 36 75 59 }
{ 36 59 }
{ 59 }
 
Enter the number of elements in the set: 
3
The elements in the set : 
73 36 36 
The permutations are: 
{ }
{ 73 }
{ 73 36 }
{ 36 }
{ 36 36 }
{ 73 36 36 }
{ 73 36 }
{ 36 }

Sanfoundry Global Education & Learning Series – 1000 Java Programs.

Here’s the list of Best Reference Books in Java Programming, Data Structures and Algorithms.

« Prev Page - Java Program to Search Number Using Divide and Conquer with the Aid of Fibonacci Numbers

» Next Page - Java Program to Perform integer Partition for a Specific Case

Deep Dive @ Sanfoundry: