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Subject: Re: Interesting mate test for hashing

Author: James Robertson

Date: 23:34:09 09/09/99

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On September 10, 1999 at 00:19:37, Robert Hyatt wrote:

I store all my mates as bounds, a la Ferret (I think). My program solves the
position in 1 second at ply 13 on my P233, 4MB hash table. (I used the EPD
string from William's post).

 1  -350          0          3 Kh3
 2  -370          0         16 Kh3 f2
 3  -365          0         51 Kh3 f2 Kg2
 4  -360          0        418 Kh2 Kf4 Kg1 Ke4
 5> -497          0        872 Kh3 Kf4 Kh2 Kg4 Kg1 Kxh4
 5  -497         50        872 Kh3 Kf4 Kh2 Kg4 Kg1 Kxh4
 6 -1169         50       1341 Kh3 f2 Kg2 Ke2 Kg3 f1=q
 7 -1169         50       1894 Kh3 f2 Kg2 Ke2 Kh2 f1=q Kg3
 8 -1176         50       2636 Kh3 f2 Kg2 Ke2 Kh2 f1=q Kg3 Kd3
 9 -1246         50       3593 Kh3 f2 Kg2 Ke2 Kh2 f1=q Kg3 Qa1 Kf4 Qxa6
10 -1263        110      12151 Kh3 f2 Kg2 Ke2 Kh1 f1=q+ Kh2 Ke3 Kg3 Qxa6
11 -1326        220      25148 Kh3 f2 Kg2 Ke2 Kh3 f1=q+ Kg3 Qg1+ Kh3 Qg4+ Kh2 Qx
h4+
12 -1331        380      63883 Kh3 f2 Kg2 Ke2 Kh3 f1=q+ Kg3 Qf3+ Kh2 Qg4 Kh1 Qxh
4+
13 -29988        990     202497 Kh3 f2 Kg2 Ke2 Kh3 Kf3 Kh2 g5 hxg5 f1=q g6 Qg2+


I am surprised a 12 ply search does not see the mate; there might be a bug
somewhere?

James

>Here is an interesting position given to me by Steffen Jakob:
>
> /p/P5p/7p/7P/4kpK/// w
>
>       +---+---+---+---+---+---+---+---+
>    8  |   |   |   |   |   |   |   |   |
>       +---+---+---+---+---+---+---+---+
>    7  | *P|   |   |   |   |   |   |   |
>       +---+---+---+---+---+---+---+---+
>    6  | P |   |   |   |   |   | *P|   |
>       +---+---+---+---+---+---+---+---+
>    5  |   |   |   |   |   |   |   | *P|
>       +---+---+---+---+---+---+---+---+
>    4  |   |   |   |   |   |   |   | P |
>       +---+---+---+---+---+---+---+---+
>    3  |   |   |   |   | *K| *P| K |   |
>       +---+---+---+---+---+---+---+---+
>    2  |   |   |   |   |   |   |   |   |
>       +---+---+---+---+---+---+---+---+
>    1  |   |   |   |   |   |   |   |   |
>       +---+---+---+---+---+---+---+---+
>         a   b   c   d   e   f   g   h
>
>
>Obviously black is getting crushed.  He has one move, Kh3, which leads to a
>mate in 6.  Steffen asked me to try this and Crafty found a mate in 4, which
>doesn't exist.  I spent the entire day debugging this thing and here is what
>I found:
>
>If you recall the discussion here a couple of weeks ago, I reported that I store
>absolute mate scores (EXACT scores) in the hash table, and that I adjust them
>so that they are always stored as "mate in N from the current position".  This
>has always worked flawlessly for me, and still does.
>
>For bounds, I once tried adjusting the bounds as well, but found quirks, and
>left them alone.  Wrong answer.  To fix this mate in 4 problem, I decided to
>adjust the bounds as well, but I now set any bound value that is larger than
>MATE-300, by reducing it to exactly MATE-300, but still using the "LOWER"
>flag to say that this is the lowest value this position could have.  For bound
>values < -MATE+300, I set them to exactly -MATE+300 and leave the flag as is.
>
>This position is cute.  Because not only is it a mate in 6, but there are
>transpositions that lead to mate in 7, mate in 8, and there are shorter (but
>non-forced) mates in 4 and 5.  And there are stalemates, and positions with
>1 legal move, and so forth.
>
>You ought to find the following variation as one mate in 6:
>
>Kh3, f2, Kg2, Ke2, Kg3, f1=Q, Kh2, g5, hg, Kf3, g6, Qg2#
>
>If you find a shorter mate, it is wrong.  If you find a longer mate, you
>are probably just extending like mad on checks (crafty finds a mate in 8 at
>shallow depths (9 plies, 2 secs on my PII/300 notebook), and doesn't find the
>mate in 6 until depth 10, 3 seconds.
>
>It is a good test as the transpositions are real cute with white's king caught
>in a tiny box, but with several different moves that triangulate and transpose
>into other variations...
>
>If you get it right, you have either handled the bounds right, or else you are
>very lucky.  IE Crafty 16.17 gets this dead right.  But if I disable the eval,
>it goes bananas, yet the eval is not important when mate is possible.
>
>Have fun...
>
>I did... :)



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