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Subject: Re: Maximum possible move choices

Author: blass uri

Date: 17:28:11 08/15/98

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On August 15, 1998 at 18:43:12, Robert Hyatt wrote:

>On August 15, 1998 at 12:25:18, Komputer Korner wrote:
>
>>On August 15, 1998 at 11:30:45, blass uri wrote:
>>
>>>
>>>On August 15, 1998 at 10:57:03, Komputer Korner wrote:
>>>
>>>>On August 14, 1998 at 00:59:59, Kai Lübke wrote:
>>>>
>>>>>On August 13, 1998 at 22:13:24, Danniel Corbit wrote:
>>>>>
>>>>>>What is the maximum possible count for legal moves from any position in a chess
>>>>>>game?  Has anyone ever calculated this?  Can it be greater than 256?
>>>>>
>>>>>There are some strange positions which were posted to rgcc some time ago,
>>>>>the weirdest of them allowing something like 229 (or so) legal moves.
>>>>>I think this was the highest possible number (and is certain to crash just about
>>>>>any chess program I have).
>>>>>I suppose searching DejaNews will get you the posting.
>>>>>
>>>>>---
>>>>>Shep
>>>>According to Ken Whyld in Chess the Records maximum mobility is:
>>>>With promoted pieces: 324 candidate moves
>>>
>>>324 is impossible
>>>
>>>An upper bound for the number of possible candidate moves:
>>>9 queens:9*27=243
>>>2 rooks:2*14=28
>>>2 bishops:2*13=26
>>>2 knights and king:3*8=24
>>>243+28+26+24=321
>>>This upper bound cannot be achieved because at most 1 queen can have 27 options.
>>>313 is a better upper bound and it is possible to improve it
>>>
>>>>With no promoted pieces and 32 men on the board: 164 candidate moves
>>>
>>>27+28+26+24+8*4=137
>>>(8*4 for pawns)
>>>This bound cannot be achieved
>>>
>>>Uri
>>>>
>>>>--
>>>>Komputer Korner
>>
>>Sorry I didn't question these.He must have included fairy chess rules. Someone
>>else wrote a book listing the limits. I think the limit was 270 including
>>promotions. I can't find the book now.
>>--
>>Komputer Korner
>
>
>this was beat to death a year or two ago in r.g.c.c or r.g.c.  the max was
>something like 219 or some such number...  There are realistic constraints that
>may make even this not possible, because to reach this max, one side has only
>a king, the other side has a bunch of pieces.  He must not be able to capture
>the opponent's king, of course.
>
>In this case, I'd bet way less than 219...  but I don't recall the discussion,
>since it isn't an issue in any of my programs, not having arrays dimensioned
>to some such limit..
What is the practical max(If you check a big database of 1,000,000 games)?

Uri



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