using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static long[] NList => ReadLine().Split().Select(long.Parse).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var ans = new long[t];
        for (var u = 0; u < t; ++u)
        {
            var n = NN;
            var a = NList;
            var sum = a.Sum();
            var max = a.Max();
            if (n == 1)
            {
                ans[u] = 1;
            }
            else
            {
                ans[u] = Math.Min((sum - max) * 2 + 1, sum);
            }
        }
        WriteLine(string.Join("\n", ans));
    }
}