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?
I assume the problem is related to a check not resulting in the lost of the rook.
I think that the king can avoid the check indefinitely, if he goes far from the borders of the chessboard.
Because to check the king (without placing itself in a checkmate situation by the king) the rook has to maintain two squares distant from the king. But when it tries to put itself in position to reach the two squares distance, the king can always or reduce diagonally to one (checking the rook and avoiding himself check) or escape from the dangerous distance.
The king is powerfull in the short distance, it seems...
I edit again as what I've said is wrong. The king can't avoid been checked. I'm not sure if just with seven moves as has been said before, perhaps the king can survive two more moves. But on the nineth is checked.
Edited on January 13, 2016, 1:59 pm
Edited on January 13, 2016, 4:54 pm
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Posted by armando
on 2016-01-13 09:47:35 |
can avoid?
