t = int(input())
while t != 0 :
    a, b, c = map(int, input().split())
    s = 0
    while b>=1 and c>=2:
        b = b - 1
        c = c - 2
        s+=3
    while a>=1 and b>=2:

        a = a - 1
        b = b - 2
        s += 3
    print(s)
    t -= 1