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Subject: maxDTZ limit

Author: GuyHaworth

Date: 21:32:42 10/17/05

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A question Mark has posed himself is [I paraphrase somewhat]:

"For what number of men is the 'DTZ' depth maximised?"

He suggested it might have peaked with the maxDTZ = 243 for KRNKNN but we now
see that this is not the case.  I see no particular reason why KRRNKRR exhibits
the maxDTZ for 7-men either, One might conjecture that there would be no Pawns
on the board as a Pawn-advance sets the move-count back to zero, but KNNKP is a
5-man counter-example.

According to the endgame stats, available at www.icga.org, maxDTZs are:

  #-men    P-less   maxDTZ    P-ful   maxDTZ    Notes

  3        KRK       16       KPK      10
  4        KBNK      33       KQKP     26
  5        KBNKN     77       KNNKP    82
  6        KRNKNN   243       ??                P-ful EGTs not available

  7        KRRNKRR  290       ??                ... so far

Note that DTZ is "Depth to [move-count] Zeroing move" and not DTM which is
"Depth to Mate" or DTC which is "Depth to Conversion [i.e. capture and/or
conversion and/or mate]".

g





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