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Re: [Bug-gnubg] (OT) Position ID documentation


From: Massimiliano Maini
Subject: Re: [Bug-gnubg] (OT) Position ID documentation
Date: Fri, 28 May 2010 12:19:25 +0200

Google docs, right .. excel is so has been :)

BTW, your link does not work.

MaX.

2010/5/28 Øystein Johansen <address@hidden>:
>
>
> 2010/5/28 Massimiliano Maini <address@hidden>
>>
>> Hi all,
>>
>> another criteria to separate usual positions from unusual ones could
>> be the number of occupied points. In Trice's formula you sum over the
>> range 0..15 for m:
>>
>>  C(24,m) X D(m+2,15-m) X D(26-m,15)
>>
>> m being the (regular) points occupied by black.
>>
>> Now, how frequent is that black holds 15 points ?
>
> Good idea!
>
>>
>> According to rough calculations (excel not having big integers),
>> all the positions where black occupies 10 or less (regular)  points are
>> already less than 2^64.
>
> True!
>
> Do not use Excel because it has limitations like the one you mention, and
> lot's of others. Use Google Docs Spreadsheet, and you can quite easily
> extend it with Javascript functions. And of course you can share your
> spreadsheet with others. I've made the Trice calculation in Google Docs
> here: https://spreadsheets.google.com/ccc?key=0AiXPuo_wblgydHFVY0stekZkZ1
>
>>
>> This can even be refined, as in the total there are positions where
>> white occupies more than 11 points (and impossible positions, game
>> over positions etc).
>
> Yes, I believe this is theoretical possible. Thanks for your suggestions.
> I then just have to find the perfect hash function. I guess that can be done
> in couple of hours. I'll just get a cup of coffee first. I'll post a follow
> up mail when I've found it. :-)
>
>
> -Øystein



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