using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static void Main(string[] args)
    {
        var T = int.Parse(Console.ReadLine());
        var ans = 0L;

        for (int i = 0; i < T; i++)
        {
            var input = Console.ReadLine().Split().Select(long.Parse).ToArray();
            var A = input[0];
            var B = input[1];
            var C = input[2];

            var min = Math.Min(A, C);
            ans += 2 * min;
            A -= min;
            C -= min;
            var quo = B / 2;
            ans += 2 * quo;
            B -= 2 * quo;

            if (B == 1)
                if (A >= 1)
                {
                    B--;
                    A--;
                    ans++;
                }
                else if (C >= 1)
                {
                    B--;
                    C--;
                }

            if (C > 0) ans += C / 2;

            Console.WriteLine(ans.ToString());
            ans = 0;
        }
    }
}