uva 562 - Dividing coins

/*
ID: daniel.20
LANG: JAVA
TASK: shopping
*/

import java.io.*;

import java.util.*;

public class Main{
public static void main (String [] args) throws Exception {
Scanner scan = new Scanner(System.in);
int n = scan.nextInt();
while(n-->0){
int num = scan.nextInt();
int[] coins = new int[num+1];
int sum = 0;
for(int i =1;i<=num;i++){
coins[i] = scan.nextInt();
sum+=coins[i];
}
int target = sum>>1;
int dp[] = new int[target+1];
for(int i=1;i<num+1;i++){
for(int j=target;j>=coins[i];j--){
dp[j] = Math.max(dp[j-coins[i]]+coins[i], dp[j]);
}
}
System.out.println(Math.abs(sum-2*dp[target]));
}
}
}