/* -*- coding: utf-8 -*-
 *
 * 3165.cc:  No.3165 [Cherry 7th Tune A] Croissants Continu - yukicoder
 */

#include<cstdio>
#include<algorithm>

using namespace std;

/* constant */

const int MAX_N = 300000;

/* typedef */

using ll = long long;

/* global variables */

int as[MAX_N];

/* subroutines */

/* main */

int main() {
  int tn;
  scanf("%d", &tn);

  while (tn--) {
    int n;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) scanf("%d", as + i);

    ll s = 0;
    for (int i = 0; i < n; i++) s += as[i];
    int maxa = *max_element(as, as + n);

    if (maxa * 2 > s) s = (s - maxa) * 2 + 1;

    printf("%lld\n", s);
  }

  return 0;
}