When the opponent starts in the center (1,1), playing in a corner is a strong strategic response. I'm choosing the top-left corner (0,0) because:
1. Corner moves give me the most flexibility for future moves
2. This sets up potential diagonal and edge-based winning opportunities
3. If my opponent doesn't respond optimally, I may be able to create a fork (two simultaneous winning threats) in later moves
4. Since the board is symmetrical at this point, any corner is equally advantageous