fn solve() -> usize {
    let mut abc = String::new();
    std::io::stdin().read_line(&mut abc).ok();
    let abc: Vec<usize> = abc.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let a = abc[0];
    let b = abc[1];
    let c = abc[2];
    a.min(c) * 2 + b / 2 * 2 + (c - a.min(c)) / 2 + if a.min(c) < a && b % 2 == 1 { 1 } else { 0 }
}

fn main() {
    let mut t = String::new();
    std::io::stdin().read_line(&mut t).ok();
    let t: usize = t.trim().parse().unwrap();
    let mut result = Vec::with_capacity(t);
    for _ in 0..t {
        result.push(solve());
    }
    for &v in result.iter() { println!("{}", v); }
}