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

Author: Vincent Lejeune

Date: 01:56:21 10/18/05

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On October 18, 2005 at 04:41:45, Yakov Konoval wrote:

>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)

I'd say

3 man - MaxDTC = 16
4 man - MaxDTC = about 16*2
5 man - MaxDTC = about 34*2
6 man - MaxDTC = about 82*2
7-man - MaxDTC = about 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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