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Subject: Re: KBN vrs K on 10x10 board -- Mate in 47

Author: Uri Blass

Date: 20:51:59 09/18/00

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On September 18, 2000 at 20:43:56, James B. Shearer wrote:

>On September 18, 2000 at 17:28:56, Bruce Moreland wrote:
>
>                  <snip>
>
>>The above might have bugs.  If not, it's the worst case with white to move, mate
>>in 47.  This looks like a harder case than the standard 8 x 8 board, since black
>>can start out in a corner, constrain white for a bit, then evade to the center,
>>since, I presume, the knight is too slow to catch black.  In the 8 x 8 version,
>>black starts out in the center in the worst case.
>>
>>KR vs K is a mate in 21, and KQ vs K is a mate in 12.
>>
>>I can't do a 9 x 9 board as easily as a 10 x 10 board, but I think it may be
>>possible that you could have a "wrong" bishop in KNB vs K with that sized board,
>>so it could be a draw in some cases.
>>
>>bruce
>
>     This is interesting.  How about Q vrs R?
>     47 moves isn't as many as I would have guessed and makes me suspect you can
>mate with B and N on any board with a corner of the right color.  12x12 would be
>the next case to try.
>                             James B. Shearer

My guess is that if the board is big enough you cannot mate because you cannot
lead the king from one corner to another one.

I do not say that 12 is big enough.

Uri



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