


t = int(input())

for i in range(t):
    a,b,c = map(int,input().split())
    ans = 0
    while True:


        if c>=2 and b>=1:
            b-=1
            c-=2
            ans+=3
        elif a>=1 and b>=2:
            a-=1
            b-=2
            ans+=3
        else:
            break
    print(ans)







