Author: Uri Blass
Date: 23:21:46 10/17/05
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On October 18, 2005 at 01:49:08, Yakov Konoval wrote: >On October 17, 2005 at 14:56:19, Uri Blass wrote: > >>On October 17, 2005 at 14:39:55, Joachim Rang wrote: >> >>>fascinating. :-) I wonder where the limit is. I can't imagine a win in 500 moves >>>even with 12-men. Do you have any basis for speculation regarding this? >>> >>>Joachim >> >>I guess that there is a win in 500 moves even with the 8 piece tablebases and >>maybe even with the 7 piece tablebases. >> >>I am not sure what is the maximal distance to conversion in 3,4,5 piece >>tablebases but it seems that usually the maximal distace to conversion is more >>than multiplied by 2 with every piece that we add. >> > >>Uri > >Just 1 funny example: > >1*2*3 = 3! >2*3*4 = 4! >4*5*6 = 5! >8*9*10= 6! >but 16*17*18 <> 7! > > >For 64-piece tablebases MaxDTC = 1. more than 32 pieces are illegal positions and I do not claim that this rule is always correct but only that there is no reason to think that 7 will be the first exception. The first exception may be 7 pieces,8 pieces,9 pieces,10 pieces,11 pieces,12 pieces,13 pieces,... If we assume that the probability for all of these events is the same then it is clear that the probability that the first exception happens with 7 or 8 pieces is less than 50% so we can expect the rule to hold. <snipped> I think, that 290-move record may be >improved, but there are no position with MaxDTC >= 243*2. Not all the 7 piece tablebases were investigated so we do not know that there are no position with MaxDTC>=243*2 My guess is that MaxDTC>=243*2 and MaxDTZ>=243*2 but we will probably need to wait at least few years to see who is right. Uri
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