#include <iostream>
#include <vector>
#include <cmath>
#include <map>
#include <set>
#include <iomanip>
#include <queue>
#include <algorithm>
#include <numeric>
#include <deque>
#include <complex>
#include <cassert>

using namespace std;
using ll = long long;

int main(){

    ll T, A, B, C, ans, mi;
    cin >> T;

    while(T){
        T--;
        cin >> A >> B >> C;
        mi = min(A, C);
        ans = mi * 2;
        A -= mi;
        C -= mi;
        ans += (C / 2);
        ans += (B / 2) * 2;
        B -= (B / 2) * 2;
        ans += min(A, B);
        cout << ans << endl;
    }

    return 0;
}