Two players take turns placing kings on a $9 \times 9$ chessboard so that no king can capture another one. The player who cannot win this loses.
Is there a certain way to think about the problem?
Two players take turns placing kings on a $9 \times 9$ chessboard so that no king can capture another one. The player who cannot win this loses.
Is there a certain way to think about the problem?
The first player always wins.
The first player plays in the center, then follows the other player symmetrically (rotated $180^\circ$). If the other player can play, then the symmetric side can always be played as well, and the second player will runs out of moves eventually.