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

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