#include<bits/stdc++.h>
using namespace std;
using ll = long long;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int T;
    cin >> T;
    while(T--){
        ll A, B, C, ans = 0;
        cin >> A >> B >> C;
        auto f = [](ll &x, ll &y){
            ll d = min(x, y);
            x -= d, y -= d;
            return d;
        };
        ans += 2 * f(A, C);
        ans += 2 * (B / 2);
        B %= 2;
        ans += A / 2;
        cout << ans << '\n';
    }
}