TugOfWar.java

package com.interview.array;

import java.util.ArrayList;
import java.util.List;

/*
 * http://www.geeksforgeeks.org/tug-of-war/
 */
public class TugOfWar {

    private int minFoundSoFar = 1000000;
    public int findMind(int arr[]){
        int total = 0;
        for(int i=0; i < arr.length; i++){
            total += arr[i];
        }
        List<Integer> result = new ArrayList<>();
        combinationUtil(arr,arr.length/2,0,0,total,0,result);
        return minFoundSoFar;
    }

    private void combinationUtil(int arr[],int k, int start,int sum, int total,int pos, List<Integer> result){
        if(pos == k){
            if(Math.abs(sum - total/2) < minFoundSoFar) {
                minFoundSoFar = Math.abs(sum - total/2);
                System.out.println(result);
            }
            return;
        }
        for(int i=start; i < arr.length; i++){
            sum += arr[i];
            result.add(arr[i]);
            combinationUtil(arr,k,i+1,sum,total,pos+1,result);
            result.remove(result.size()-1);
            sum -= arr[i];
        }
    }

    public static void main(String args[]){
        TugOfWar tow = new TugOfWar();
        int arr[] = {23, 45, 34, 12,11, 98, 99, 4, 189, 1,7,19,105, 201};
        int min = tow.findMind(arr);
        System.out.print(min);
    }
}