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Subject: Re: KRRNKRR win in 290: a new record

Author: Yakov Konoval

Date: 01:41:45 10/18/05

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On October 18, 2005 at 04:01:23, Vincent Lejeune wrote:

>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! -> yes, it's the definition
>2*3*4 = 4! -> it's the definition of "!" again
>4*5*6 = 5! -> because 6=1*2*3
>8*9*10= 6! -> 8=2*4, 9=3*3, 10=2*5, so all composant from 2*3*4*5*6 is in
>but 16*17*18 <> 7! -> sure, 17 is prime and no factor of 7! can be 17
>
>You can find billions of random things like this in theory numbers, in fact
>nothing interresting ...
>
>

I agree with you, nothing interesting. This is just analogy with EGTs:

3 man - MaxDTC = 16
4 man - MaxDTC = 34 (>16*2)
5 man - MaxDTC = 82 (>34*2)
6 man - MaxDTC = 243 (>82*2)

7-man - MaxDTC = ??? (but I think, < 243*2)

>>
>>
>>For 64-piece tablebases MaxDTC = 1. I think, that 290-move record may be
>>improved, but there are no position with MaxDTC >= 243*2.
>>By the way, how long is MaxDTM for chess problems ?
>>

Yakov



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