This was my initial thought once we got to the Gamma function. My reasoning is (I'm pretty sure it's the same as yours), why is the gamma function allowed, but

This was my initial thought once we got to the Gamma function. My reasoning is (I'm pretty sure it's the same as yours), why is the gamma function allowed, but not others? I could insert arbitrary functions to make the game arbitrarily solvable. While this hit me at the Gamma introduction, I think it leads back to the beginning: It's a poorly defined problem from the rules at the start of the article. It should instead define the set of allowable functions (or operations) explicitly. I think you could modify this to retain the intent of showing how the problem scales with knowledge level.