#include <iostream>
using namespace std;
int main() {
// your code goes here
int t;
cin>>t;
while(t--)
{
int a,b,c,ans=0;
cin>>a>>b>>c;
if(b>=c/2) {ans+=c/2; b-=c/2; }
else {ans+=b;}
if(a>=b/2){ans+=b/2; }
else {ans+=a;}
ans=ans*3;
cout<<ans<<"\n";
}
return 0;
}
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