def best_choice(a: int, b: int, c: int) -> int:
    if b >= 2:
        return (b // 2)*2 + best_choice(a, b - (b//2)*2, c)

    if a > 0:
        if c > 0:
            return min(a, c) * 2 + best_choice(a-min(a, c), b, c-min(a, c))
        return min(a, b)

    return c // 2


def main():
    for _ in range(int(input())):
        A, B, C = map(int, input().split())
        print(best_choice(A, B, C))


if __name__ == "__main__":
    main()