#include <iostream>
using namespace std;
typedef long long ll;

int main()
{
    int t;
    cin >> t;
    while (t--)
    {
        ll a, b, c;
        cin >> a >> b >> c;
        if (a > c)
        {
            cout << b + c * 2 << endl;
        }
        else
        {
            cout << b / 2 * 2 + a * 2 + (c - a) / 2 << endl;
        }
    }
}