#include <bits/stdc++.h>

void solve(std::istream& is, std::ostream& os) {
  using ll = long long;
  ll A, B, C;
  is >> A >> B >> C;
  ll t = std::min(A, C);
  ll ans = 2 * t;
  A -= t;
  C -= t;
  if (A == 0) {
    ans += B & ~1;
    ans += C >> 1;
  } else {
    ans += B;
    ans -= A == 0 && B & 1;
  }
  os << ans << '\n';
}

int main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);

  int T;
  std::cin >> T;

  while (T--) {
    solve(std::cin, std::cout);
  }
}