#include <bits/stdc++.h>
using namespace std;
int main() {
  int t, k = 0, a, b, c;
  cin >> t;
  for (int i = 0; i < t; i++) {
    cin >> a >> b >> c;
    while ((c > 1 and b > 1) or (b > 1 and a >= 1)) {
      if (c > 1 and b >= 1) {
        k += 3;
        c -= 2;
        b -= 1;
      } else {
        if (b > 1 and a >= 1) {
          k += 3;
          b -= 2;
          a -= 1;
        }
      }
      cout << k << "\n";
    }
  }
}
