I would use 430w Quantum Board if you go that route. Or whatever. Slightly more than 1/3rd. Maybe even 450.
600w Single Ended like a Hortilux HPS is best in its class for HID, and is recommended for 3 x 3. 1000w Hortilux HPS is good for 4 x 4.
The best of the best LED.. Gavita 1700e/Phillips are 1/3rd more efficient vs the best single ended HID. Gavita is 1700 umol for 645w, and the Phillips, which wont be out until 1-2020 wont be sold than anything less than lots of 40 at $800usd each. They are 635w, and 1800 umol. 1000w Hortilux is 1600 umol.