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Target Sum Subsets

 1. You are given a number n, representing the count of elements.

2. You are given n numbers.

3. You are given a number "tar".

4. Complete the body of printTargetSumSubsets function - without changing signature - to calculate and print all subsets of given elements, the contents of which sum to "tar". Use sample input and output to get more idea.




Input Format

Input Format

A number n

n1

n2

.. n number of elements

A number tar

Output Format

Comma separated elements of the subset, the contents of which add to "tar"

.. all such subsets, each in a single line (the elements of each subset should be comma separated)




Constraints

1 <= n <= 30

0 <= n1, n2, .. n elements <= 20

0 <= tar <= 50

Sample Input

5

10

20

30

40

50

60

Sample Output

10, 20, 30, .

10, 50, .

20, 40, .



Solution:

import java.io.*;
import java.util.*;

public class Main {

    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int[] arr = new int[n];
        for(int i=0;i<n;i++)
            arr[i] = sc.nextInt();
        int tar = sc.nextInt();
        printTargetSumSubsets(arr,0,"",0,tar);
    }

    // set is the subset
    // sos is sum of subset
    // tar is target
    public static void printTargetSumSubsets(int[] arr, int idx, String set, int sos, int tar) {
        
        if(idx == arr.length){
            if(sos == tar)
                System.out.println(set+".");
            return;
        }   
        
        printTargetSumSubsets(arr,idx+1,set+arr[idx]+", ",sos+arr[idx],tar);
        printTargetSumSubsets(arr,idx+1,set,sos,tar);
        
    }

}
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