A king and a rook are on opposite corners of an 8x8 chessboard. The king is trying to avoid being checked by the rook. Normally the rook would check the king in one move but this rook is restricted - his moves are limited to up to two spaces, that also applies to his ability to make the check.

Can the king avoid check indefinitely? If not, how long can he last?

(In reply to re: Difficulty 4? by Steve Herman)

If the Rook is permitted to be adjacent to the King to check, then the King can not escape from being checked. If the Rook can not be adjacent, then the King can manage to be too distant from a Rook check or move to a diagonal next to an approaching Rook, thus, again preventing the Rook from checking the King.

The difficulty then must be that the King can not escape, and it is but finding the number of moves the King can make before the check.

Posted by Dej Mar on 2016-01-05 16:53:38