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