def func(a, b, c):
    count = 0
    while a > 1 and b > 2:
        a -= 1
        b -= 2
        count += 3
    while b >= 1 and c >= 2:
        b -= 1
        c -= 2
        count += 3
    return count
t = int(input())
stones = []
for i in range(t):
    s = list(input().split(' '))
    stones.append(func(int(s[0]), int(s[1]), int(s[2])))
for i in stones:
    print(i)
