#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const long long INF = 1LL<<60;

int main() {
    int t; cin >> t;
    while(t--) {
        long long a, b, c; cin >> a >> b >> c;
        long long ans = 0;
        ans += b / 2 * 2;
        b = b % 2;
        long long d = min(a, c);
        ans += d * 2;
        a -= d;
        c -= d;
        if(c > 0) {
            ans += c / 2;
            c %= 2;
        }
        long long e = min(a, b);
        ans += e;
        cout << ans << endl;
    }
}