#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
typedef long long ll;

template<typename T>bool chmax(T &a, const T& b){if(a<b){a=b;return true;}return false;}
template<typename T>bool chmin(T &a, const T& b){if(a>b){a=b;return true;}return false;}

int main(){
    int t;cin>>t;
    rep(z,t){
        ll a,b,c;cin>>a>>b>>c;
        ll ans=0;
        if(a>=c){
            ans+=(2*c);
            a=a-c;
            c=0;
            ans+=(2*(b/2));
            if(a==0 && b%2==1){
                cout<<ans<<endl;
            }
            else if(a>0 && b%2==1){
                cout<<ans+1<<endl;
            }
            else{
                cout<<ans<<endl;
            }
        }
        else{
            ans+=(2*a);
            c=c-a;
            a=0;
            ans+=(2*(b/2));
    
            ans+=(2*(c/2));
            cout<<ans<<endl;
        }
    }
}