use proconio::*;
use std::collections::*;

fn main() {
    input! {
        t: i32,
    }
    for _z in 0..t {
        input! {
            a: i64,
            b: i64,
            c: i64,
        }
        let mut res: i64 = 0;
        res += b - b % 2;
        let b = b % 2;
        if a >= b + c {
            res += b + c * 2;
        } else {
            res += b + c * 2;
            res -= (b + c - a) / 2 * 3;
            if (a + b + c) % 2 == 1 {
                if b >= 1 {
                    res -= 1;
                } else {
                    res -= 2;
                }
            }
        }
        println!("{}", res);
    }
}