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Subject: '50-move' affected positions

Author: GuyHaworth

Date: 08:59:54 04/22/04

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I have the information, for 3-5-man and 3-3/4-2-pawnless, with just a few gaps.

Unfortunately, it's currently organised by White/Black-to-move which is not
perhaps as meaningful as Winner/Loser-to-move.

Across the 50-move-affected endgames examined to date:
    1,724,458,061 wtm and 2,681,712,031 btm positions are extra draws.

More meaningfully, across 'decisive positions' that's 1.85% wtm, 3.26% btm.

However 1.43% of wtm and 2.42% of btm decisive positions have DTZ > 50, so
closing out the current phase of play in time would be priority 1.



There is also a % of positions where DTZ50 > DTZ in which the SZ- strategy fails
to defend the win.  Here, the attacker has to invest more effort in the current
phase to secure the win.

There are no doubt other positions where the SZ- strategy, in offering a wider
choice of moves than the SZ50- strategy, again fails to defend the win.



A Tamplin/H paper in the ACG10 conference gives the strategy for using DTZ and
DTZ50 data in combination, and there is a Bourzutschky/T/H follow-up covering
6-man-Pless in the pipeline.

g



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