There are two black rooks on the chessboard and a white chess king that tries to violate the chess rules, that is tries to move into a position which it would be in check. Can the king force itself into check or can the two rooks avoid check indefinitely?
What if there are three rooks?
I think that for three rooks it is not possible to escape the king.
The king can do the following: Move to the b2 position. Now the rows through a1, b2 and c3 are off limits to the rooks. All the rooks have to be in the square (d3,h8).
Let the king move to position g7, this will take 5 moves. When the king is in g7, then the rooks have to be in the square (a1, e5).
To move all the rooks takes 6 moves, so the king will always win.
The same way of thinking shows that it is impossible for the king to capture two rooks.
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Posted by Hugo
on 2004-11-17 03:12:05 |