1

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?

Angelo Mark
  • 5,954

1 Answers1

0

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.

Lynnx
  • 1,651