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