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Subject: Re: One mate to solve.

Author: leonid

Date: 15:05:23 04/06/02

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On April 06, 2002 at 16:48:36, Heiner Marxen wrote:

>On April 06, 2002 at 15:53:05, leonid wrote:
>
>>On April 06, 2002 at 14:32:56, John Merlino wrote:
>>
>>>On April 06, 2002 at 07:05:42, leonid wrote:
>>>
>>>>[D]8/8/q4Q2/rBpnqQ2/QNnNbN2/NqrPnQ2/NbrkqB2/QKRqRq2 w - -
>>>>
>>>>Please indicate your result.
>>>>
>>>>Thanks,
>>>>Leonid.
>>>
>>>Chessmaster says Mate in 11 after 48 seconds on a PIII-733. But is that the
>>>shortest mate?
>>
>>I really don't know. I went only 9 moves by brute force and stop there. My
>>program don't use hash and its absence make search slow on similar position.
>>
>>Maybe somebody will run this position on Chest with hash 10 moves deep. This
>>program use hash and have usually good branching factor to do brute force work.
>>
>>My selective (LLchess mate solver) found mate in 11 moves, just like
>>Chessmaster. On Celeron 600Mhz it found mate in 9 seconds.
>>
>>Cheers,
>>Leonid.
>>
>>>
>>>Time	Depth	Score	Positions	Moves
>>>0:07	1/3	6.58	440512		1.Nxb3+ Rxb3 2.Qxe2+ Qfxe2 3.Rxe2+
>>>					Qxe2 4.Rxc2+ Kd1 5.Rc1+ Bxc1+ 6.Qxb3+
>>>					Nc2 7.Nxc4 Qxa1+ 8.Qxa1 Bxf5 9.Nxe2
>>>					Rxb5
>>>0:34	1/4	9.82	2017709		1.Nxb3+ Rxb3 2.Qxe2+ Qfxe2 3.Rxe2+
>>>					Qxe2 4.Rxc2+ Kd1 5.Rc1+ Bxc1+ 6.Qxb3+
>>>					Nc2 7.Nxc4 Qexf6 8.Qfxf6 Rxa2 9.Nxc2
>>>0:48	1/4	Mate11	2932963		1.Nxc4+ Qxc4 2.Bxe3+ Nxe3 3.Qxe3+
>>>					Kxe3 4.Nfd5+ Qexd5 5.Ndxc2+ Rxc2
>>>					6.Nxd5+ Kd2 7.Rxe2+ Qfxe2 8.Qf4+
>>>					Ke1 9.Q6h4+ Qf2 10.Qhxf2+ Rxf2
>>>					11.Qxd1#
>>>1:34	2/5	Mate11	6346069		1.Nxc4+ Qxc4 2.Bxe3+ Nxe3 3.Qxe3+
>>>					Kxe3 4.Nfd5+ Qexd5 5.Ndxc2+ Rxc2
>>>					6.Nxd5+ Kd2 7.Rxe2+ Qfxe2 8.Qf4+
>>>					Ke1 9.Q6h4+ Qf2 10.Qhxf2+ Rxf2
>>>					11.Qxd1#
>>>
>>>jm
>
>Chest confirms that this is the shortest solution.  54.3 minutes on my old
>K7/600 with 350 MB hash:
>
>PV: Nxc4+ Qxc4 Bxe3+ Nxe3 Qxe3+ Kxe3 Nfd5+ Qexd5 Ndxc2+ Qxc2+ Nxc2+ Rxc2 Rxe2+
>Qxe2 Qf4+ Kxd3 Qb3+ Rc3 Rd1+ Qxd1+ Qxd1#
>
>The hash table appears to help a lot with this position.
>
>#  4      0.10s [  5.00]        6kN [  6.52]  1.16        559-         0
>#  5      0.43s [  4.30]       26kN [  4.40]  1.44       2452-         0
>#  6      1.53s [  3.56]       91kN [  3.51]  2.11       9102-         0
>#  7      5.65s [  3.69]      342kN [  3.78]  4.92      31794-         0
>#  8     28.54s [  5.05]     1796kN [  5.25]  6.44     145284-         0
>#  9    185.90s [  6.51]    12445kN [  6.93]  7.17     765247-         0
># 10   1043.77s [  5.61]    70684kN [  5.68] 10.44    4164086-      8572
># 11   3260.28s [  3.12]   217250kN [  3.07] 14.33   13498171-   4802820
>                                             ^^^^^ hash table factor

Thanks, Heiner!

Mine took already 54 minutes to see 9 moves. In my search branching jumped
dramatically between 8 and 9 move.

Celeron 600Mhz. No hash:

Moves         Time          Branching factor          NPS

4             0.38 sec                                261k
                            4.42
5             1.7 sec                                 181k
                            4.48
6             7.63 sec                                107k
                            4.77
7             36 sec                                  149k
                            6.63
8             4 min 2 sec                             317k
                            13.3
9             53 min 40 sec                           325k

Cheers,
Leonid.



>Cheers,
>Heiner



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