<s>[INST] There are $25$ balls in a box numbered from $1$ to $25$. You and your friend play the following game:

*   You and your friend take turns picking balls (without replacement) from the box.
*   In your turn, you can pick any ball with a number that is relatively prime to the numbers of the balls you've already picked.
*   In your friend's turn, they can pick any ball that is relatively prime to the numbers of the balls they've already picked.
*   The game ends when one of you cannot pick any balls. That person loses the game.

Assuming optimal play, who would win the game?[/INST]