I = lambda:[int(i) for i in input().split()]
t = int(input())
for _ in range(t):
    a, b, c = map(int, input().split())
    cnt = 0
    while b>0 and c>1:
        cnt +=3
        b-=1
        c-=2
    while a>0 and b>1:
        cnt+=3
        a-=1
        b-=2
    print(cnt)