# Print All Possible Subsets with Sum equal to a given Number

Objective: Given a number N, Write an algorithm to print all possible subsets with Sum equal to N

This question has been asked in the Google for software engineer position.

Example:

```N=4

1111
112
121
13
211
22
31
4
```

Approach:

This problem is quite similar to Print All Subsets of a given set.

• Loop through i=1 to N.
• Add i to the result and make a recursive call to (N-i).
• Base case: when n becomes 0

See the code for better explanation and recursion tree.

Code

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 public class PrintAllSubsetsToSum { public void printSubSets(int N, int curr, String res){ if(curr==0){ System.out.println(res); return; } for (int i = 1; i <=N ; i++) { if(i<=curr){ printSubSets(N, curr–i, res+i); } } } public static void main(String[] args) { int N = 4 new PrintAllSubsetsToSum().printSubSets(N,N,""); } }

```Output:
1111
112
121
13
211
22
31
4```