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Subject: Re: Moves to conversion within a DTM-minimaxing line

Author: Mark Rawlings

Date: 19:01:17 01/14/06

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On January 14, 2006 at 17:09:31, GuyHaworth wrote:

>
>Given maxDTC = 282 for KQNNKQN, as Marc says:
>
>    all we know for sure is that maxDTM >= 282
>
>Nothing can be said about moves-to-conversion within a DTM-minimaxing line.  It
>may be that the winner has to concede more in DTC terms than the loser in order
>to min(imax) DTM, or it could be the other way round.
>
>For example, in ICGA_Journal v23.1 (2000), I reported the end of a KRNKNN line
>where White is playing SM-C- (minimising DTM and then DTC on each move) and
>Black is playing SM+C+ (maximising DTM and then DTC).  The conversion happened
>to occur on move 248 (compared to move 243 in any SC-/SC+ line) and no doubt, if
>other equi-optimal moves had been selected, it would have happened on other
>moves.
>
>Thus, within DTM-minimaxing lines from the maxDTM position (which may or may not
>be a maxDTM position, but let's assume it is here), we would see the conversion
>happening after a variety of numbers of moves - and quite possibly, some would
>be greater than 282 and some less.
>
>Of course, if White prioritises DTM and Black prioritises DTC, it is clear what
>will happen.  Mate will happen on or before the nominal DTM, and conversion will
>happen on or after the nominal DTC.
>
>
>Good to hear things are ticking over on 7-man: nice work, Marc.
>
>g

What is the main benefit of computing maxDTC tablebases?  Are they faster/easier
to calculate than maxDTM tablebases?  Or are they more useful, since you could
use them with the 50-move rule?

Thanks,

Mark




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