This puzzle is a classic example of a mathematical game of strategy known as Bash Game. It belongs to the category of impartial games, where the available moves depend only on the state of the game, not on which player is moving. The key to winning these games lies not in luck, but in understanding the underlying mathematical principles.

You and the AI will take turns removing stones from a pile. The one who takes the last stone wins. But beware, the AI is a master of strategy. Can you find its secret?