AW: [Retros] Massacre SPGs
CAILLAUDM at aol.com
CAILLAUDM at aol.com
Tue Feb 3 12:50:04 EST 2004
> Francois Labelle wrote:
>
> >The missing PG is:
> >
> >wKg1, bKf8, bBd7
>
> Very interesting!
>
> >It'd be really interesting to know what your program thought for this SPG:
> >
> >- If it saw 0 solutions, then your program had a bug.
> >- If it saw >= 2 solutions, then *my* program has a bug and I'd very much
> >like to know about it! (Alternatively people can try to find a cook by
> >hand if they're so inclined).
> >
> >The PG does have the unusual property that the surviving piece is black,
> >i.e. it's a (1+2), all the 17 others are (2+1).
>
> I now remember that even though we had some very powerful hardware available
> at that time (1994), we had to split the calculation in two cases:
> (xwhite,xblack) = (2,2) and (3,1) (xwhite = number of non-capturing white
> moves)
> I assume that we did the calculation only for the first case. This means
> that your program verified the 17 PGs with (2+1) pieces and it found
> a new one with (1+2) pieces!
>
Indeed, that is probably what happened as the new one is C+ by Popeye (that
is rather powerful for testing these kinds of massacre PGs).
Very impressive, all these finds by Francois. Congratulations!
Best,
Michel
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