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Subject: Re: KBN vrs K on 10x10 board

Author: Bruce Moreland

Date: 14:31:14 09/18/00

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On September 18, 2000 at 02:53:05, Uri Blass wrote:

>On September 18, 2000 at 02:36:13, Steffen Jakob wrote:
>
>>On September 17, 2000 at 21:40:05, Vincent Diepeveen wrote:
>>
>>>On September 17, 2000 at 20:53:47, James B. Shearer wrote:
>>>
>>>>      Someone asked in a usenet forum about mating with KBN on larger than 8x8
>>>>boards.  Opinion was mixed on whether it was possible.  Has anyone done table
>>>>base computations for say a 10x10 board?
>>>>                             James B. Shearer
>>>
>>>I assume a 50 move rule isn't valid anymore at such a board, so
>>>give me 5 minutes on a clock and bet for 100 dollar that i can't do it,
>>>and you'll know :)
>>>
>>>You just need another few moves to close the king a bit further in.
>>>there are several methods to mate. I'm sure one of the methods is a bit
>>>harder now, but if you use the 'making the diagonal smaller' method,
>>>then it's still a peanut. Just don't let the king escape or even the
>>>100 move is gonna get tough :)
>>
>>Yes, you should always be able to mate if the number of files/rows is even. But
>>it's not possible to force the mate on a e.g. 9x9 board where all corner squares
>>have the same color and you have the wrong bishop :-)
>>
>>Greetings,
>>Steffen.
>
>I do not know.
>In chess you cannot push the king from one corner to another corner without
>letting the king to leave the line between the corners so it is not obvious that
>you can do it in bigger board.
>
>The only way to answer about 10*10 is building the KBN vs K tablebases for this
>board and it should take less time than building the 5 piece tablebases in
>regular chess.
>
>Uri

It took about an hour on a Pentium Pro 200.  The file is bigger than the 8 x 8
version, by several times, but it still wasn't that bad.

bruce




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