#include<iostream>
using namespace std;
main()
{
	int T;cin>>T;
	for(;T--;)
	{
		long a,b,c;
		cin>>a>>b>>c;
		long ans=b/2*2;b%=2;
		long t=min(a,c);
		ans+=t*2;a-=t;c-=t;
		ans+=c/2;c%=2;
		ans+=min(a,b);
		cout<<ans<<"\n";
	}
}