Author: Michel Langeveld
Date: 02:45:09 09/04/99
Go up one level in this thread
>What does it mean the number of positions of KQQKQQ and KQQKQP? > >IMO there are two possible answers: > >1. The only positions allowed by the rules of the game, after eliminations of >simmetrically equivalent positions. > >2. The number of positions in a tablebase, where the need of calculating an easy >index requests some positions more than necessary. I imagine that these >positions correspond to "broken position" in tbgen. Is it true? I tried to calculate the number of positions tablebase. That is the minimum positions to tell the answer of a certain type of endgame. What are broken positions -illegal positions -legal position which can't be reached because there's no path to it or something else? >I think that manual calculation of the number of positions as in case 1. would >be almost impossible for KQQKQQ and KQQKQP. Only a program can do this task >spending much time, checking symmetry and checks. >You start to calculate KK, but I'm sorry to say that IMHO you are wrong :-) > >The number of positions should be 462, so evaluated: > > 1 x 4 = 1 x 33 = 33 white king in a1 > 3 x 6 = 3 x 58 = 174 white king in b1, c1, d1 > 3 x 9 = 3 x 55 = 165 white king in c2, d2, d3 > 3 x 9 = 3 x 30 = 90 white king in b2, c3, d4 > ---------- >Total 462 Dawn! You are right!!! I shall update my text and post it again. >When white king is on the diagonal a1-h8, position for the black king are >reduced by symmetry. This always happens when a piece is added to a symmetrical >disposition of the preceding pieces in respect to this diagonal. Therefore if >the two kings are in a1 and c3, also the positions of the first queen are >reduced and so on. Yes! For calculation is program needed :-) >Values computed by my program are different, probably wrong, from those >obtained by Nalimov's tbgen, except for kpk and kppk, and I wrote to CCC >(Tablebases generation: help request - 8/30/99) asking help to solve this >problem, but perhaps who could answer was sleeping ... :-) I shall dig up the post and look at it. Maybe I find something... Kind regards, Michel Langeveld
This page took 0 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.