Author: Dieter Buerssner
Date: 10:38:10 03/10/02
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On March 10, 2002 at 04:23:21, Rafael Andrist wrote: >On March 10, 2002 at 02:29:18, Les Fernandez wrote: > >>Sometime ago Dieter had provided me the following info regarding number of legal >>KRk positions: wtm = 175,168 btm = 223,944 >> >>Does anyone know the same figures for KQk for wtm and btm ? > >KQK: >phyically distinct positions: >wtm: 144508 >btm: 223944 I get the same number here. The later is easy to calculate: 3620 legal KK positions times 62 squares for the Q. >logically distict positions: >wtm: 22589 >btm: 34968 But for this, I get different numbers. Perhaps, I do not understand your meaning of logically distinct. The easier case is btm, because all positions with legal KK are legal. There are 462 "logically distinct" legal KK positions (with the idea of Nalimov, to restrict one K to a triangle, for example a1-d1-d4, and when the K is on the diagonal, restrict the other K to a big triangle a1-h1-h8). There will be 62 squares for the Q left, which makes 62*462=28644 different positions. For white to move, not all positions are legal, and I get 18492 different legal positions. My numbers are also different to those Guido has posted ... Regards, Dieter
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