To be honest, that is pretty much the best strategy I came up with too. I wanted to have (and partially implemented) a “harder” mode that would be a little more like Simon Says and require the player to actually remember some patterns instead of just hitting them as they came up, but ran out of time.
I also think it would be nicer to have some sort of pattern or clues to follow (maybe colors or symbols?) so it’s not just blind guesswork, but I couldn’t think of anything before it was time to submit.