for _ in range(int(input())):
    a,b,c = map(int,input().split())
    count = 0
    while b >= 1 and c >= 2:
        b-=1
        c-=2
        count+=3
    while a >= 1 and b >= 2:
        a-=1
        b-=2
        count+=3
    print(count)