macro_rules! get {
      ($t:ty) => {
          {
              let mut line: String = String::new();
              std::io::stdin().read_line(&mut line).unwrap();
              line.trim().parse::<$t>().unwrap()
          }
      };
      ($($t:ty),*) => {
          {
              let mut line: String = String::new();
              std::io::stdin().read_line(&mut line).unwrap();
              let mut iter = line.split_whitespace();
              (
                  $(iter.next().unwrap().parse::<$t>().unwrap(),)*
              )
          }
      };
      ($t:ty; $n:expr) => {
          (0..$n).map(|_|
              get!($t)
          ).collect::<Vec<_>>()
      };
      ($($t:ty),*; $n:expr) => {
          (0..$n).map(|_|
              get!($($t),*)
          ).collect::<Vec<_>>()
      };
      ($t:ty ;;) => {
          {
              let mut line: String = String::new();
              std::io::stdin().read_line(&mut line).unwrap();
              line.split_whitespace()
                  .map(|t| t.parse::<$t>().unwrap())
                  .collect::<Vec<_>>()
          }
      };
      ($t:ty ;; $n:expr) => {
          (0..$n).map(|_| get!($t ;;)).collect::<Vec<_>>()
      };
}

fn main() {
    let test_cases = get!(usize);

    for _ in 0..test_cases {
        let (mut a, mut b, mut c) = get!(i64, i64, i64);
        let mut result = 0;

        let b_count = b / 2;
        result += b_count * 2;
        b -= b_count * 2;

        let ac_count = a.min(c);
        a -= ac_count;
        c -= ac_count;
        result += ac_count * 2;

        let c_count = c / 2;
        result += c_count;
        c -= c_count * 2;

        let ab_count = a.min(b);
        result += ab_count;
        a -= ab_count;
        b -= ab_count;

        println!("{}", result);
    }
}