#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
  #include "settings/debug.cpp"
  #define _GLIBCXX_DEBUG
#else
  #define Debug(...) void(0)
#endif
#define rep(i, n) for (int i = 0; i < (n); ++i)
using ll = long long;
using ull = unsigned long long;

int main() {
  int t;
  cin >> t;
  while (t--) {
    ll a, b, c;
    cin >> a >> b >> c;
    ll ans = min(a, c);
    a -= ans, c -= ans;
    ans *= 2;
    ans += b / 2 * 2;
    b %= 2;
    ans += c / 2 * 2;
    c %= 2;
    if (a > 0 && c == 1) ans += 2, c--, a--;
    if (a > 0 && b == 1) ans++, a--, b--;
    cout << ans << endl;
  }
  return 0;
}