#include <bits/stdc++.h>

using namespace std;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int T;
    cin >> T;
    while (T--) {
        long long A, B, C;
        cin >> A >> B >> C;
        long long ans = 0;
        ans += min(A, C) * 2LL;
        long long tmp = min(A, C);
        A -= tmp;
        C -= tmp;
        ans += min(A, B);
        tmp = min(A, B);
        ans += B / 2 * 2;
        cout << ans << endl;
    }
    return 0;
}