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

void fast_io() {
  cin.tie(nullptr)->sync_with_stdio(false);
}

void solve() {
  ll A, B, C;
  cin >> A >> B >> C;

  ll ans = 0;
  ll mac = min(A, C);
  ans += 2 * mac + 2 * (B / 2);
  A -= mac, C -= mac, B -= 2 * (B / 2);

  ll mab = min(A, B);
  ans += mab + (C / 2);
  A -= mab, B -= mab, C -= 2 * (C / 2);

  cout << ans << '\n';
}

int main() {
  fast_io();

  int t = 1;
  cin >> t;
  while (t--) solve();
}