for _ in range(int(input())):
    A, B, C = map(int, input().split())
    res = 0
    s = B // 2
    res += s * 2
    B -= s * 2
    t = min(A, C)
    res += t * 2
    A -= t
    C -= t
    u = C // 2
    res += u
    C -= u * 2
    v = min(A, B)
    res += v
    A -= v
    B -= v
    print(res)