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Subject: Re: Can this position be won under a 50-move rule?

Author: Uri Blass

Date: 12:43:43 09/16/00

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On September 16, 2000 at 15:07:43, José de Jesús García Ruvalcaba wrote:

>On September 16, 2000 at 14:33:51, guy haworth wrote:
>
>>Consider the following position from Ken Thompson's 6-man EGT site:
>>
>>8/8/7B/5B2/3K4/8/2k5/n6n b - - 0 1
>>
>>It is a 'win' for White and also a maxDTC and maxDTM position.
>>DTC = 76 plies (38 moves) and DTM = 212 plies (106 moves).
>>
>>Black cannot protract the first phase beyond 50 moves and therefore might be
>>best advised to maximise DTM and (within that, should a choice occur) minimise
>>DTC.
>>
>>Similarly, White might be best advised to do the following in order:
>>    keep the first phase down to 50 moves or less,
>>    minimise DTM (Depth to Mate), and
>>    maximise DTC (Depth to Conversion).
>>
>>These White/Black strategies leadd to what I call an SGM-C-_SM+C+ line.
>>However, White's (few) options and a Black defence along these lines can lead to
>>
>>[D] 6B1/1K6/1B6/8/8/8/3nk3/8 b - - 0 40
>>
>>and a KBBKN 2nd-phase allowing a 50-move draw claim.
>>
>>So, the question is "Can this position be won under a 50-move rule, and if so,
>>how, given 'best play' by Black?".
>>
>>G
>
>	The way to answer this question (and several others) is to produce a new set of
>tablebases, which are neither DTM nor DTC.
>	For positions which are won but might (or might not) infringe the 50-move rule,
>two numbers are stored: the number of conversions needed to deliver mate and a
>new number, let's call it Marimar number.

I do not think that you need Marimer numbers in order to know if the position is
won or a draw.
Distance to conversion is enough if you start from the simple cases and define
distance that is bigger than 100 plies as a draw.

conversion for a position when the distance to conversion is more than 100 plies
is a draw because of the fact that it is conversion to a position that is known
as a draw from previous conversion tablebases.

The marimer numbers can help when you play for a win in drawn position because
you are going to play for positions with a lower marimer number but it is not
always the best idea to play for the smallest marimer number in a drawn
position.

It is possible that you get marimer number of 11 after 99 plies with no
conversion.

You have 2 options:
1)to capture and get a position with marimer number 101 when you have practical
chances of win.
2)not to capture and get a position with marimer number 10 when the opponent
practically claims a draw by the 50 move rule.

playing for the smallest marimer number is not the best choice in this case.

Uri



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