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Subject: Re: Mate to solve for champions...

Author: Heiner Marxen

Date: 14:55:59 05/01/01

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On May 01, 2001 at 12:34:19, Heiner Marxen wrote:

>On May 01, 2001 at 07:55:26, leonid wrote:
>
>>On May 01, 2001 at 01:02:33, Paul Byrne wrote:
>>
>>>On April 29, 2001 at 07:32:15, leonid wrote:
>>>
>>>>Hello!
>>>>
>>>>I know that I should never indicate here any position like this, but it is just
>>>>too seductive! Only really dedicated man or highly performant mate solver can
>>>>crunch it.
>>>>
>>>>[D]Qrbqkbr1/Qn3qPP/NQqQq1nB/1qNqQBq1/1Qq1q2Q/8/3RR3/4K3 w - -
>>>>
>>>>Please indicate your result.
>>>>
>>>>Thanks,
>>>>Leonid.
>>>
>>>That was a tough one!  My PN search went through 512MB of memory without solving
>>>it.  PN2 got Qbxd8+ winning in 1316.46 seconds (100043829 nodes) -- the PN2 code
>>
>>Hi, Paul!
>>
>>What is PN2?
>
>I strongly suspect it is a modified version of "proof number search".
>I seem to remember that Aske Plaat wrote about it.  You should find
>something with your favorite search engine (e.g. Google).
>
>>Your move is what mine found.
>>
>>Your solution was quick compared with mine. I actually had the impression that
>>this position contain the mate and asked to search this position. Very deep
>>selective search, 13 moves deep. Left my solver thinking in the night. Celeron
>>600Mhz. No hash. It took almost 4 hours (3 h 56 min) to solve in 13 moves. But
>>at what depth your found? Maybe your said that mate existe in 12 or even 11.
>>
>>Cheers,
>>Leonid.
>
>Hi Leonid,
>
>According to Chest it is a mate in 13, i.e. no solution in 12 or less moves.
>On a K7/600 with 350 MB hash Chest spends nearly 37 hours to find that
>there are two key moves for the mate in 13:  Qdxd8+ and Qbxd8+.
>I have not yet a PV (the solution tree is not contained in the hash, any more,
>and is currently recomputed).  I will follow-up when it is there.

Here are two PV lines from Chest:

Qbxd8+ Qxd8  Qhxd8+ Nxd8 Qxd8+  Qxd8  gxf8Q+ Rxf8  Qxf7+  Rxf7   h8=Q+  Nf8
Qxf8+  Rxf8   Rxd8+  Ke7    Bg5+   Rf6   Bxf6+  Kf7   Rf8+   Kxf8  Nxe6+  Ke8
Qe7#

Qdxd8+ Qgxd8 Qhxd8+ Nxd8 Qxd8+  Qxd8  gxf8Q+ Rxf8  Qxf7+  Rxf7   h8=Q+  Nf8
Qxf8+  Rxf8   Rxd8+  Ke7    Bg5+   Rf6   Bxf6+  Kf7   Rf8+   Kxf8  Nxe6+  Ke8
Qe7#

They are basically equal. Other black moves lead to shorter solutions, except:
8... Kxd8   Nxe6+  Bxe6  Bg5+   Kc8   Qexb8+ Qxb8  Qaxb8+ Kd7 Qe7#
                                Kd7   Nxb8+  Kc8   Nxc6+  Kd7 Qed6#
                                                          Qb8 Qbb7#
                                             Qxb8  Qe7+   Kc8 Qexb8#
                                             Rxb8  Qe7+   Kc8 Qd8#
                                Rf6   Qxf6+  Kd7   Qfe7+  Kc8 Qd8#

Total computation time is 43.2 hours.

Heiner


>Here is the timing statistics:
>
>depth  time[s] speed   nodes in  nodes out
>#  1      0.00  0.94          1-         0
>#  2      0.01  1.00          1-         0
>#  3      0.03  0.97         88-         0
>#  4      0.20  1.12        612-         0
>#  5      1.06  1.31       3484-         0
>#  6      4.64  1.66      16340-         0
>#  7     17.77  3.27      67644-         0
>#  8     79.58  5.29     335490-         0
>#  9    385.99  7.30    1776286-        30
># 10   1492.82  9.43    7245314-    342027
># 11   5287.27 11.55   28318639-  19570743
># 12  31346.51 10.79  174568973- 165821072
># 13 132724.97 10.18  765545533- 756797632
>
>Cheers, Heiner
>
>
>>>is set up for suicide chess though and could probably be sped up a good bit for
>>>regular chess.
>>>
>>>-paul



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