#include <bits/stdc++.h>
#include <atcoder/all>
using namespace atcoder;
using namespace std;
using ll=long long;
using ld=long double;
ld pie=3.141592653589793;
ll mod=1000000007;
ll inf=1000;
int main(){
    ll t;
    cin >> t;
    for (ll i = 0; i < t; i++)
    {
        ll a,b,c;
        cin >> a >> b >> c;
        ll x=0;
        x+=min(c,a)*2;
        a-=x/2;
        c-=x/2;
        x+=c/2;
        if (b%2)
        {
            if (a>=1)
            {
                x+=b;
            }else{
                x+=b-1;
            }
        }else{
            x+=b;
        }
        cout << x << endl;
    }
    
}