a = int(input())

for _ in range(a):
    b = list(map(int, input().split()))
    res = 0

    while b[1] > 0 and b[2] >= 2:
        b[1] -= 1
        b[2] -= 2
        res += 3
    while b[0] > 0 and b[1] >= 2:
        b[0] -= 1
        b[1] -= 2
        res += 3
    print(res)
