: Following this pattern ensures your opponent is eventually left with exactly 1 stick , which they are forced to pick up, making them the loser. Why This Works

To win, you must force your opponent to take the very last stick. The mathematical secret is to always leave your opponent with a number of sticks that is a multiple of (e.g., 9, 5, or 1 stick).

). By controlling these cycles, you dictate who hits the final, unavoidable stick. Practice Challenge

The game is a simplified version of , a classic mathematical strategy game. Because you can take up to 3 sticks, the "cycle" of the game is 4 (