import static java.lang.System.err;

public class Main {
	public static void main(String[] args) {
		java.io.PrintWriter out = new java.io.PrintWriter(System.out);
		new Main(out);
		out.flush();
		err.flush();
	}

	public Main(java.io.PrintWriter out) {
		try (java.util.Scanner sc = new java.util.Scanner(System.in)) {
			int T = sc.nextInt();
			while(T --> 0) {
				long A = sc.nextLong(), B = sc.nextLong(), C = sc.nextLong();
				long ans = Math.min(A, C) * 2;
				A -= ans / 2;
				C -= ans / 2;
				ans += C / 2;
				ans += B / 2 * 2;
				B %= 2;
				ans += Math.min(A, B);
				out.println(ans);
			}
		}
	}
}