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

public class Hello
{
    static void Main()
    {
        var t = int.Parse(Console.ReadLine().Trim());
        while (t-- > 0)
        {
            string[] line = Console.ReadLine().Trim().Split(' ');
            var a = long.Parse(line[0]);
            var b = long.Parse(line[1]);
            var c = long.Parse(line[2]);
            getAns(a, b, c);
        }
    }
    static void getAns(long a, long b, long c)
    {
        var ans = 0L;
        var acmin = Min(a, c);
        a -= acmin;
        c -= acmin;
        ans += acmin * 2L;
        ans += (b / 2) * 2L;
        b %= 2;
        var abmin = Min(a, b);
        ans += abmin;
        ans += c / 2L;
        Console.WriteLine(ans);
    }
}