#include <bits/stdc++.h>
#define rep(i,n) for(int i = 0; i < (n); i++)
using namespace std;
using ll = long long;
using ld = long double;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    
    int T; cin >> T;
    rep(_,T) {
        ll A,B,C; cin >> A >> B >> C;
        ll ans = 0;
        ll x = min(A, C);
        ans += x * 2;
        A -= x;
        C -= x;

        ans += B / 2 * 2;
        B %= 2;

        ans += C / 2;
        C %= 2;

        x = min(A, B);
        ans += x;
        A -= x;
        B -= x;
        cout << ans << "\n";
    }
}