Find all possible combinations of numbers to print given sum

The following program will print all possible combinations of additions from a given set of numbers so that they sum  up to a given target number

Sum Problem:

Input: X={n1,n2,n3,..n(s)}, G

Output= various combinations of X(n1..n(s)), where sum of X(n) = G

Solution:

This problem can be solved with a recursive combinations of all possible sums.

package com.sneppets.sum;

import java.util.ArrayList;
import java.util.Arrays;

public class SumCombinations {

	static void sum_combinations_recursive(ArrayList<Integer> inputNumbers, int targetSum, ArrayList<Integer> partialNumbers) {

	       int sum = 0;
	     	       
	       //calculate summation of partial numbers
	       for (int x: partialNumbers) {	 
   	   
	    	   sum += x;

	       }    
	      
	       //check if summation of partial numbers is equal to sum target
	       if (sum == targetSum)
	            System.out.println("sum("+Arrays.toString(partialNumbers.toArray())+")="+targetSum);
	       
	       //if we sum is greater than the target sum then why to continue 
	       if (sum >= targetSum){

	    	   //ends the current method invocation
	    	   return;
	       }	            
	       
	       //add the remaining numbers in the partial number list 
	       for(int i=0;i<inputNumbers.size();i++) {	  
  	   
	             ArrayList<Integer> remainingNumbers = new ArrayList<Integer>();

	             int n = inputNumbers.get(i);	
            
	             for (int j=i+1; j<inputNumbers.size();j++) {

	            	 remainingNumbers.add(inputNumbers.get(j));
	             }
	             
	             ArrayList<Integer> partialNumbersList = new ArrayList<Integer>(partialNumbers);

	             partialNumbersList.add(n);

	             //recursive call
	             sum_combinations_recursive(remainingNumbers,targetSum,partialNumbersList);
	       }

	    }
	    static void sum_combinations(ArrayList<Integer> inputNumbers, int targetSum) {

	    	sum_combinations_recursive(inputNumbers,targetSum,new ArrayList<Integer>());

	    }

	    public static void main(String args[]) {

	        Integer[] inputNumbers = {1,2,3,4,10,15,20,35,50,100};

	        int targetSum = 50;

	        sum_combinations(new ArrayList<Integer>(Arrays.asList(inputNumbers)),targetSum);

	    }

}