#include <bits/stdc++.h>
using namespace std;
int main() {
// your code goes here
int t;
cin>>t;
while(t--){
int res=0,A,B;
cin>>A>>B;
while(A>0 && B>0){
if(A-1>=0 && B-2>=0){
res+=3;
A-=1;
B-=2;
}
}
cout<<res<<endl;
}
}
I2luY2x1ZGUgPGJpdHMvc3RkYysrLmg+CnVzaW5nIG5hbWVzcGFjZSBzdGQ7CgppbnQgbWFpbigpIHsKCS8vIHlvdXIgY29kZSBnb2VzIGhlcmUKCWludCB0OwoJY2luPj50OwoJd2hpbGUodC0tKXsKCSAgICBpbnQgcmVzPTAsQSxCOwoJICAgIGNpbj4+QT4+QjsKCSAgICB3aGlsZShBPjAgJiYgQj4wKXsKCSAgICAgICAgaWYoQS0xPj0wICYmIEItMj49MCl7CgkgICAgICAgICAgICByZXMrPTM7CgkgICAgICAgICAgICBBLT0xOwoJICAgICAgICAgICAgQi09MjsKCSAgICAgICAgfQoJICAgIH0KCSAgICBjb3V0PDxyZXM8PGVuZGw7Cgl9Cgp9Cg==