#include <bits/stdc++.h>
#define ll long long
using namespace std;
int main() {
ll t; cin>>t;
while(t--){
ll a,b,c,i,sum=0; cin>>a>>b>>c;
while(b>0 && c>1){
sum+=3;
b--;
c-=2;
}
while(a>0 && b>1){
sum+=3;
a--;
b-=2;
}
cout<<sum<<endl;
}
}
I2luY2x1ZGUgPGJpdHMvc3RkYysrLmg+CiNkZWZpbmUgbGwgbG9uZyBsb25nCnVzaW5nIG5hbWVzcGFjZSBzdGQ7CgppbnQgbWFpbigpIHsKCWxsIHQ7IGNpbj4+dDsKCXdoaWxlKHQtLSl7CgkJbGwgYSxiLGMsaSxzdW09MDsgY2luPj5hPj5iPj5jOwoJCXdoaWxlKGI+MCAmJiBjPjEpewoJCQlzdW0rPTM7CgkJCWItLTsKCQkJYy09MjsKCQl9CgkJd2hpbGUoYT4wICYmIGI+MSl7CgkJCXN1bSs9MzsKCQkJYS0tOwoJCQliLT0yOwoJCX0KCQljb3V0PDxzdW08PGVuZGw7Cgl9Cn0=