#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef unsigned long long int ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myRand(ll B) {
    return (ull)rng() % B;
}
inline double time() {
    return static_cast<long double>(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()) * 1e-9;
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int q; cin >> q;
    while (q--) {
        ll a,b,c; cin >> a >> b >> c;
        ll res = b/2*2;
        b %= 2;
        ll mi = min(a,c);
        res += mi*2;
        a -= mi;
        c -= mi;
        if (a) {
            if (b) res++;
        }
        else {
            res += c/2;
        }
        cout << res << "\n";
    }
}