#include <iostream>
#include<bits/stdc++.h>
#define ll long long
using namespace std;
int main() {
// your code goes here
ll q;
cin>>q;
while(q>0)
{
ll a,b,c;
cin>>a>>b>>c;
double r1,r2;
ll sum=0;
while(1)
{
if((a<1||b<2)&&(b<1||c<2))
{
break;
}
r1=(double)b/(double)a;
r2=(double)c/(double)b;
if(r1<=r2)
{
ll p=b/2;
if(p>a)
{
sum=sum+a*3;
a=0;
b=b-a*2;
}
else
{
sum=sum+p*3;
b=b-p*2;
a=a-p;
}
}
else
{
ll w=c/2;
if(w>b)
{
sum=sum+3*b;
b=0;
c=c-b*2;
}
else
{
sum=sum+w*3;
c=c-2*w;
b=b-w;
}
}
}
cout<<sum<<endl;
q--;
}
return 0;
}
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