Author: Ernst A. Heinz
Date: 02:38:08 09/01/98
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On September 01, 1998 at 04:39:24, Rémi Coulom wrote: > >On August 31, 1998 at 21:42:47, Eugene Nalimov wrote: > >> >>I wrote generator that use those and several other ideas. I hope that >>soon I'll make it public - I want to verify results before doing so; >>for now everything looks good (Rémi, if you want, I can send to you >>current code - but I'm sure indexing schema will be changed before >>final release). >> >>Eugene >> >>PS. I want to thank Ernst for discussions and his kind help in improving >>indexing schema. > >I even found better ideas this morning that could improve indexing more (even >more that what Ernst does). This consist in using more the fact that two Kings >can not be on two adjacent squares : You should probably be more careful with your public statements and re-read my article because these ideas are already mentioned. >Without pawns: > >33+58+58+58+ > 30+55+55+ > 30+55+ > 30 > >= 404 possibilities (and not 462) Sorry, but your math is wrong: 33 + 3*30 + 3*55 + 3*58 = 462. >With pawns: > >60 58 58 58 >58 55 55 55 >58 55 55 55 >58 55 55 55 >58 55 55 55 >58 55 55 55 >58 55 55 55 >60 58 58 58 > >= 1806 possibilities (and not 2016) See Section 4.1 "The Two Kings" of my article. Because I confine the first Pawn to one half of the board, I get 3612 = 2*1806 legal placements of two Kings on an otherwise empty chess board. For KPK you get 1806 * 48 = 86688 and I get 3612 * 24 = 86688 which is exactly the same. =Ernst=
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