#include <bits/stdc++.h>
using namespace std;

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int T; cin >> T;
    while(T--){
        int N; cin >> N;
        vector<long long> A(N);
        for(auto &a : A) cin >> a;
        long long sum = 0,maxa = 0;
        for(auto a : A) sum += a,maxa = max(maxa,a);
        
        sum -= maxa;
        cout << min(sum+maxa,sum+sum+1) << "\n";
    }
}