for _ in range(int(input())):
    a,b,c = list(map(int,input().split()))
    ans = 0
    while True:
        if b>=1 and c>=2:
            b-=1
            c-=2
            ans+=3
        elif a>=1 and b>=2:
            a-=1
            b-=2
            ans+=3
        else:
            break
    print(ans)