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

[Massimiliano Maini]

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 ?

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.

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).

Regards,

2010/5/25 Øystein Johansen <address@hidden>:
>
> Yes, this is the kind of position that will then need a special treatment.
> Not really 'unlikely'? Maybe we should make a different definition of
> 'unlikely'. Jon's idea is really good. Kind of like UTF-8. However, it's
> still only of pure academic interest.
>
> -Øystein
>
>
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