t=int(input())
for _ in range(t):
a,b,c=[int(i) for i in input().split()]
ans=0
while(b>=1 and c>=2):
c-=2
b-=1
ans+=3
while(a>=1 and b>=2):
b-=2
a-=1
ans+=3
print(ans)
dD1pbnQoaW5wdXQoKSkKZm9yIF8gaW4gcmFuZ2UodCk6CglhLGIsYz1baW50KGkpIGZvciBpIGluIGlucHV0KCkuc3BsaXQoKV0KCWFucz0wCgl3aGlsZShiPj0xIGFuZCBjPj0yKToKCQljLT0yCgkJYi09MQoJCWFucys9MwoJd2hpbGUoYT49MSBhbmQgYj49Mik6CgkJYi09MgoJCWEtPTEKCQlhbnMrPTMKCXByaW50KGFucyk=