package DynamicProgramming;
// Partition a set into two subsets such that the difference of subset sums is minimum
/*
Input: arr[] = {1, 6, 11, 5}
Output: 1
Explanation:
Subset1 = {1, 5, 6}, sum of Subset1 = 12
Subset2 = {11}, sum of Subset2 = 11
Input: arr[] = {36, 7, 46, 40}
Output: 23
Explanation:
Subset1 = {7, 46} ; sum of Subset1 = 53
Subset2 = {36, 40} ; sum of Subset2 = 76
*/
import java.util.*;
import java.lang.*;
import java.io.*;
public class MinimumSumPartition
{
public static void main (String[] args)
{
Scanner sc = new Scanner(System.in);
int t = sc.nextInt();
while(t-->0)
{
int n = sc.nextInt();
int arr[] = new int[n];
int sum = 0;
for(int i = 0;i < n;i++)
{
arr[i] = sc.nextInt();
sum += arr[i];
}
int ans[] = new int[sum];
ans = subset(arr,sum);
int min = Integer.MAX_VALUE;
for (int i = 0; i < ans.length; i++)
min = Math.min(min,(sum-2*ans[i]));
System.out.println(min);
}
}
static int[] subset(int arr[],int sum)
{
int n = arr.length;
boolean dp[][] = new boolean[n+1][sum+1];
for(int i = 0; i