Hmm, well, did you notice any patterns or anything when you did try "cheating"? In video games, when stuff like that happens, usually the anti-cheat measures put in place try to nudge you into going the "right" way...

[ This isn't a video game, but Mizuki thinks maybe it's not too far of a reach to think it still applies. ]

Not that I expect there to be like cryptic riddles or anything written in the trees, but maybe there's something to it?