#include<bits/stdc++.h>
using namespace std;
#define ll long long
int main(){
int t,a,b,c,cnt=0;
cin>>t;
while(t--){
cnt=0;
cin>>a>>b>>c;
int d=min(c/2,b);
cnt+=3*d;
c-=2*d;b-=d;
d=min(b/2,a);
cnt+=3*d;
b-=2*d;a-=d;
cout<<cnt<<"\n";
}
return 0;
}
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