#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (ll i = 0; i < (ll)(n); i++)
#define all(x) (x).begin(), (x).end()
using ll = long long;
const ll MOD = 998244353;
#include<atcoder/all>
using namespace atcoder;
using mint = modint998244353;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  ll t;cin>>t;
  while(t--){
    ll n;cin>>n;
    vector<ll> A(n);
    rep(i,n)cin>>A[i];
    ll sum=reduce(all(A),0LL);
    ll m=*min_element(all(A));
    cout<<min(sum,2*(sum-m)+1)<<endl;
  }
}