// [7/21/2014 Sjm]
/*
题目关键：
Given a bag with a maximum of 100 coins, determine the most fair division between two persons.
This means that the difference between the amount each person obtains should be minimised.
思路：
两个人分硬币，要公平。那就让一个人所获得的硬币无限接近总的硬币的数目的一半（01背包求解），剩下的硬币给另外一个人。
此时，即可做到："the difference between the amount each person obtains should be minimised. "
*/
1 #include <iostream>
2 #include <cstdlib>
3 #include <cstdio>
4 #include <algorithm>
5 #include <cstring>
6 using namespace std;
7 const int MAX = 50005;
8 int arr[105];
9 int dp[MAX];
10 int m, sum, Val;
11
12 int Solve() {
13 memset(dp, 0, sizeof(dp));
14 for (int i = 1; i <= m; ++i) {
15 for (int j = Val; j >= arr[i]; --j) {
16 dp[j] = max(dp[j], dp[j - arr[i]] + arr[i]);
17 }
18 }
19 return abs(sum - 2 * dp[Val]);
20 }
21
22 int main()
23 {
24 //freopen("input.txt", "r", stdin);
25 int T;
26 scanf("%d", &T);
27 while (T--) {
28 sum = 0;
29 scanf("%d", &m);
30 for (int i = 1; i <= m; ++i) {
31 scanf("%d", &arr[i]);
32 sum += arr[i];
33 }
34 Val = sum / 2;
35 printf("%d\n", Solve());
36 }
37 return 0;
38 }
